{"id":24893,"date":"2022-04-05T09:50:06","date_gmt":"2022-04-05T04:20:06","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=24893"},"modified":"2022-04-07T11:14:01","modified_gmt":"2022-04-07T05:44:01","slug":"big-ideas-math-answers-grade-6-chapter-8","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/big-ideas-math-answers-grade-6-chapter-8\/","title":{"rendered":"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane"},"content":{"rendered":"<p>Searching for the best material for Integers, Number Lines, and Coordinate Plane? If yes, then there is a one-stop solution for your search. We are providing the <strong><a href=\"https:\/\/bigideasmathanswers.com\/big-ideas-math-answers-grade-6\/\">Big Ideas Math Book 6th Grade Answers<\/a> Ch 8 Integers, Number Lines, and the Coordinate Plane pdf<\/strong> in the next sections. Follow our material and make your preparation as expected. You can easily score marks if you practice all the problems of BIM 6th Grade Answer Key which gives the step by step solution to all the problems. Scroll to the next sections to find various details like tasks, examples, answer keys, free pdf&#8217;s and so on.<\/p>\n<h2>Big Ideas Math Book 6th Grade Answer Key Chapter 8 Integers, Number Lines, and the Coordinate Plane<\/h2>\n<p>Big Ideas Math Book 6th Grade Answer Key Chapter 8 Integers, Number Lines, and the Coordinate Plane free pdf is here. <strong>Download BIM 6th Grade Chapter 8 Solution Key pdf<\/strong> from the below given links. If you are really worried about your preparation, then definitely you have to check this article. Because we are providing all the tips and tricks to solve the problems. Before starting your practice, understand all the concepts and learn each and every small topic, so that you can overcome all your weakess and score better marks. Follow all the concepts involving Integers, Comparing and Ordering Integers, Rational Numbers etc.<\/p>\n<p><strong>Performance Task<\/strong><\/p>\n<ul>\n<li><a href=\"#Integers,_Number_Lines,_and_the_Coordinate_Plane_STEAM_Video\/Performance_Task\">Integers, Number Lines, and the Coordinate Plane STEAM Video\/Performance Task<\/a><\/li>\n<li>Integers, Number Lines, and the Coordinate Plane Getting Ready for Chapter<\/li>\n<\/ul>\n<p><strong>Lesson: 1 Integers<\/strong><\/p>\n<ul>\n<li>Lesson 8.1 Integers<\/li>\n<li>Integers Homework &amp; Practice 8.1<\/li>\n<\/ul>\n<p><strong>Lesson: 2 Comparing and Ordering Integers<\/strong><\/p>\n<ul>\n<li>Lesson 8.2 Comparing and Ordering Integers<\/li>\n<li>Comparing and Ordering Integers Homework &amp; Practice 8.2<\/li>\n<\/ul>\n<p><strong>Lesson: 3 Rational Numbers<\/strong><\/p>\n<ul>\n<li>Lesson 8.3 Rational Numbers<\/li>\n<li>Rational Numbers Homework &amp; Practice 8.3<\/li>\n<\/ul>\n<p><strong>Lesson: 4 Absolute Value<\/strong><\/p>\n<ul>\n<li>Lesson 8.4 Absolute Value<\/li>\n<li>Absolute Value Homework &amp; Practice 8.4<\/li>\n<\/ul>\n<p><strong>Lesson: 5 The Coordinate Plane<\/strong><\/p>\n<ul>\n<li>Lesson 8.5 The Coordinate Plane<\/li>\n<li>The Coordinate Plane Homework &amp; Practice 8.5<\/li>\n<\/ul>\n<p><strong>Lesson: 6 Polygons in the Coordinate Plane<\/strong><\/p>\n<ul>\n<li>Lesson 8.6 Polygons in the Coordinate Plane<\/li>\n<li>Polygons in the Coordinate Plane Homework &amp; Practice 8.6<\/li>\n<\/ul>\n<p><strong>Lesson: 7 Writing and Graphing Inequalities<\/strong><\/p>\n<ul>\n<li>Lesson 8.7 Writing and Graphing Inequalities<\/li>\n<li>Writing and Graphing Inequalities Homework &amp; Practice 8.7<\/li>\n<\/ul>\n<p><strong>Lesson: 8 Solving Inequalities<\/strong><\/p>\n<ul>\n<li>Lesson 8.8 Solving Inequalities<\/li>\n<li>Solving Inequalities Homework &amp; Practice 8.8<\/li>\n<\/ul>\n<p><strong>Chapter: 8 &#8211; Integers, Number Lines, and the Coordinate Plane<\/strong><\/p>\n<ul>\n<li>Integers, Number Lines, and the Coordinate Plane Connecting Concepts<\/li>\n<li>Integers, Number Lines, and the Coordinate Plane Chapter Review<\/li>\n<li>Integers, Number Lines, and the Coordinate Plane Practice Test<\/li>\n<li>Integers, Number Lines, and the Coordinate Plane Cumulative Practice<\/li>\n<\/ul>\n<h3><a id=\"Integers,_Number_Lines,_and_the_Coordinate_Plane_STEAM_Video\/Performance_Task\"><\/a>Integers, Number Lines, and the Coordinate Plane STEAM Video\/Performance Task<\/h3>\n<p><strong>STEAM Video<\/strong><\/p>\n<p>Designing a CubeSat<br \/>\nA CubeSat is a type of miniature satellite that is used for space research. Each CubeSat has the dimensions shown and a mass of no more than 1.33 kilograms.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24894\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-1.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 1\" width=\"208\" height=\"144\" \/><br \/>\nWatch the STEAM Video \u201cDesigning a CubeSat.\u201d Then answer the following questions.<br \/>\n1. For what fields of study do you think CubeSats can be used?<br \/>\n2. Tony says g-forces are a measure of how heavy you feel. \ue030 e table shows the g-forces on a CubeSat at three points in time. Why can g-forces be as high as 6 during a rocket launch and as low as 0 in space?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24895\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-2.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 2\" width=\"334\" height=\"80\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-2.png 334w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-2-300x72.png 300w\" sizes=\"(max-width: 334px) 100vw, 334px\" \/><br \/>\n3. What would happen to a CubeSatthatcannot withstand a g-force of 6? a g-force of 0?<\/p>\n<p><strong>Performance Task<\/strong><\/p>\n<p>Launching a CubeSat<br \/>\nAfter completing this chapter, you will be able to use the concepts you learned to answer the questions in the STEAM Video Performance Task. You will be given information about three different types of Cubesats that you can purchase.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24896\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-3.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 3\" width=\"416\" height=\"331\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-3.png 416w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-3-300x239.png 300w\" sizes=\"(max-width: 416px) 100vw, 416px\" \/><br \/>\nYou will determine which of the three CubeSats is the best option for a mission. Why might g-force, pressure, and temperature be important considerations for making your decision?<\/p>\n<h3><a id=\"Integers,_Number_Lines,_and_the_Coordinate_Plane_Getting_Ready_for_Chapter\"><\/a>Integers, Number Lines, and the Coordinate Plane Getting Ready for Chapter<\/h3>\n<p><strong>Chapter Exploration<\/strong><br \/>\nQuestion 1.<br \/>\nWork with a partner. Plot and connect the points to make a picture.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24897\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-4.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 4\" width=\"513\" height=\"557\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-4.png 513w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-4-276x300.png 276w\" sizes=\"(max-width: 513px) 100vw, 513px\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-38598\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Chapter-Exploration-Question-1.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Chapter-Exploration-Question-1\" width=\"501\" height=\"559\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Chapter-Exploration-Question-1.jpg 501w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Chapter-Exploration-Question-1-269x300.jpg 269w\" sizes=\"(max-width: 501px) 100vw, 501px\" \/><\/p>\n<p>Question 2.<br \/>\nCreate your own \u201cdot-to-dot\u201d picture. Use at least 20 points.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-38599\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Chapter-Exploration-Question-2.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Chapter-Exploration-Question-2\" width=\"719\" height=\"568\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Chapter-Exploration-Question-2.jpg 719w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Chapter-Exploration-Question-2-300x237.jpg 300w\" sizes=\"(max-width: 719px) 100vw, 719px\" \/><\/p>\n<p><strong>Vocabulary<\/strong><br \/>\nThe following vocabulary terms are defined in this chapter. Think about what each term might mean and record your thoughts.<br \/>\nnegative numbers<br \/>\nopposites<br \/>\ninequality<br \/>\nquadrants<\/p>\n<h3><a id=\"Lesson_8.1_Integers\"><\/a>Lesson 8.1 Integers<\/h3>\n<p><strong>Exploration 1<\/strong><\/p>\n<p>Reading and Describing Temperatures<br \/>\nWork with a partner. The thermometers show the temperatures in four cities.<br \/>\nHonolulu, Hawaii<br \/>\nAnchorage, Alaska<br \/>\nDeath Valley, California<br \/>\nSeattle, Washington<br \/>\na. Match each temperature with its most appropriate location.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24898\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.1-1.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.1 1\" width=\"631\" height=\"330\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.1-1.png 631w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.1-1-300x157.png 300w\" sizes=\"(max-width: 631px) 100vw, 631px\" \/><br \/>\nAnswer:<br \/>\nHonolulu, Hawaii\u00a0 &#8211; 110 degrees Fahrenheit<br \/>\nAnchorage, Alaska &#8211; 0 degrees Fahrenheit<br \/>\nDeath Valley, California &#8211; 80 degrees Fahrenheit<br \/>\nSeattle, Washington &#8211; 40 degrees Fahrenheit<\/p>\n<p>b. What do all of the temperatures have in common?<br \/>\nAnswer :<br \/>\nMeasuring in degrees fahrenheit and Readings<\/p>\n<p>c. What does it mean for a temperature to be below zero? Provide an example. Can you think of any other situations in which numbers may be less than zero? Maintain OversightHow does this exploration help you represent numbers less than 0?<br \/>\nAnswer:<br \/>\nTemperature to be below zero means cold weather starts .<br \/>\nExample:<br \/>\nWhen used by weather forecasters in the U.S., it\u00a0means\u00a0&#8220;below\u00a00\u00b0F&#8221;. ( It essentially\u00a0means, &#8220;It&#8217;s gonna be cold; bring your mittens and a warm hat.&#8221;<\/p>\n<p>d. The thermometers show temperatures on a vertical number line. How else can you represent numbers less than zero? Provide an example.<br \/>\nAnswer:<\/p>\n<div class=\"mod\" data-md=\"61\">\n<div class=\"LGOjhe\" role=\"heading\" data-attrid=\"wa:\/description\" data-hveid=\"CAsQAA\"><span class=\"ILfuVd NA6bn\"><span class=\"hgKElc\">In general, we can\u00a0represent\u00a0a change in\u00a0temperature\u00a0with a positive\u00a0number\u00a0if it increases and a negative\u00a0number\u00a0if it\u00a0decreases. Then we can find the final\u00a0temperature\u00a0by adding the initial\u00a0temperature\u00a0and the change.<\/span><\/span><\/div>\n<\/div>\n<div class=\"g\">\n<div class=\"tF2Cxc\" data-hveid=\"CAcQAA\" data-ved=\"2ahUKEwjq3prYx8nuAhUzmuYKHRvCBZMQFSgAMAJ6BAgHEAA\"><\/div>\n<\/div>\n<ul>\n<li><\/li>\n<\/ul>\n<p>Positive numbers are greater than 0. They can be written with or without a positive sign (+).<br \/>\n1 5 20 10,000<\/p>\n<p>Negative numbers are less than 0. They are written with a negative sign (\u2212).<br \/>\n-1 -5 -20 -10,000<\/p>\n<p>Two numbers that are the same distance from 0 on a number line, but on opposite sides of 0, are called opposites. The opposite of 0 is 0.<\/p>\n<p><strong>Try It<\/strong><\/p>\n<p><strong>Write a positive or negative integer that represents the situation.<\/strong><br \/>\nQuestion 1.<br \/>\nA hiker climbs 900 feet up a mountain.<br \/>\nAnswer:<br \/>\n+900, 900 feet<br \/>\nExplaination :<br \/>\nPositive numbers are greater than 0. They can be written with or without a positive sign (+).<\/p>\n<p>Question 2.<br \/>\nYou have a debt of $24.<br \/>\nAnswer:<br \/>\n-24<br \/>\nExplaination :<br \/>\nDebt\u00a0is an amount of money borrowed by one party from another.<br \/>\nDebt of $24 is represented as -24.<\/p>\n<p>Question 3.<br \/>\nA student loses 5 points for not showing work on a quiz.<br \/>\nAnswer:<br \/>\n-5<br \/>\nExplaination :<br \/>\nlose is a another meaning of negative.<br \/>\nStudent loses 5 points is indicated as -5.<\/p>\n<p>Question 4.<br \/>\nA savings account earns $10.<br \/>\nAnswer:<br \/>\n+10<br \/>\nExplaination :<br \/>\nEarns is another vocabulary to positive.<br \/>\nearns $10 is represented as +10 or 10.<\/p>\n<p><strong>Graph the integer and its opposite.<\/strong><br \/>\nQuestion 5.<br \/>\n6<br \/>\nAnswer:<br \/>\n(6, -6)<br \/>\nExplanation:<br \/>\nFor any given\u00a0integer\u00a0&#8216;a&#8217;, the\u00a0opposite integer\u00a0is found at the same distance from 0 on the number line, but on the other side.<br \/>\nSo, the\u00a0opposite integer\u00a0of\u00a0integer &#8216;a&#8217;, is &#8216;-a&#8217; on the number line, but on the other side of 0.<\/p>\n<p>Question 6.<br \/>\n-4<br \/>\nAnswer:<br \/>\n(4, -4)<br \/>\nExplanation :<br \/>\nFor any given\u00a0integer\u00a0&#8216;a&#8217;, the\u00a0opposite integer\u00a0is found at the same distance from 0 on the number line, but on the other side.<br \/>\nSo, the\u00a0opposite integer\u00a0of\u00a0integer &#8216;a&#8217;, is &#8216;-a&#8217; on the number line, but on the other side of 0.<\/p>\n<p>Question 7.<br \/>\n-12<br \/>\nAnswer:<br \/>\n(12, -12)<br \/>\nExplanation :<br \/>\nFor any given\u00a0integer\u00a0&#8216;a&#8217;, the\u00a0opposite integer\u00a0is found at the same distance from 0 on the number line, but on the other side.<br \/>\nSo, the\u00a0opposite integer\u00a0of\u00a0integer &#8216;a&#8217;, is &#8216;-a&#8217; on the number line, but on the other side of 0.<\/p>\n<p>Question 8.<br \/>\n1<br \/>\nAnswer:<br \/>\n(1, -1)<br \/>\nExplanation :<br \/>\nFor any given\u00a0integer\u00a0&#8216;a&#8217;, the\u00a0opposite integer\u00a0is found at the same distance from 0 on the number line, but on the other side.<br \/>\nSo, the\u00a0opposite integer\u00a0of\u00a0integer &#8216;a&#8217;, is &#8216;-a&#8217; on the number line, but on the other side of 0.<\/p>\n<p><strong>Self-Assessment for Concepts &amp; Skills<\/strong><\/p>\n<p>Solve each exercise. Then rate your understanding of the success criteria in your journal.<\/p>\n<p><strong>WRITING INTEGERS<\/strong> Write a positive or negative integer that represents the situation.<br \/>\nQuestion 9.<br \/>\nA baseball is thrown at a speed of 78 miles per hour.<br \/>\nAnswer:<br \/>\n+78<br \/>\nExplanation :<br \/>\nA baseball is thrown at a speed of 78 miles per hour. So, thrown indicated +ve<br \/>\n+78 or 78.<\/p>\n<p>Question 10.<br \/>\nA submarine is 3750 feet below sea level.<br \/>\nAnswer:<br \/>\n-3750<br \/>\nExplanation :<br \/>\nsubmarine is 3750 feet below sea level. so, below indicates -ve<br \/>\n-3750<\/p>\n<p><strong>GRAPHING INTEGERS<\/strong> Graph the integer and its opposite.<br \/>\nQuestion 11.<br \/>\n8<br \/>\nAnswer:<br \/>\n(8, -8)<br \/>\nExplaination :<br \/>\nFor any given\u00a0integer\u00a0&#8216;a&#8217;, the\u00a0opposite integer\u00a0is found at the same distance from 0 on the number line, but on the other side.<br \/>\nSo, the\u00a0opposite integer\u00a0of\u00a0integer &#8216;a&#8217;, is &#8216;-a&#8217; on the number line, but on the other side of 0.<\/p>\n<p>Question 12.<br \/>\n&#8211; 7<br \/>\nAnswer:<br \/>\n(7 -7)<br \/>\nExplaination :<br \/>\nFor any given\u00a0integer\u00a0&#8216;a&#8217;, the\u00a0opposite integer\u00a0is found at the same distance from 0 on the number line, but on the other side.<br \/>\nSo, the\u00a0opposite integer\u00a0of\u00a0integer &#8216;a&#8217;, is &#8216;-a&#8217; on the number line, but on the other side of 0.<\/p>\n<p>Question 13.<br \/>\n11<br \/>\nAnswer:<br \/>\n(11, -11)<br \/>\nExplaination :<br \/>\nFor any given\u00a0integer\u00a0&#8216;a&#8217;, the\u00a0opposite integer\u00a0is found at the same distance from 0 on the number line, but on the other side.<br \/>\nSo, the\u00a0opposite integer\u00a0of\u00a0integer &#8216;a&#8217;, is &#8216;-a&#8217; on the number line, but on the other side of 0.<\/p>\n<p>Question 14.<br \/>\n<strong>VOCABULARY<\/strong><br \/>\nWhich of the following numbers are integers?<br \/>\n18, 4.1, -9, \\(\\frac{1}{6}\\) , 1.75, 22<br \/>\nAnswer:<br \/>\nAn integer is defined as a number that can be written without a fractional component.<\/p>\n<p>18, -9, 22<\/p>\n<p>Question 15.<br \/>\n<strong>VOCABULARY<\/strong><br \/>\nList three words or phrases used in real life that indicate negative integers.<br \/>\nAnswer:<\/p>\n<p>minus , below , down , debt, low.<\/p>\n<p>Question 16.<br \/>\n<strong>WRITING<\/strong><br \/>\nDescribe the opposite of a positive integer, the opposite of a negative integer, and the opposite of zero.<br \/>\nAnswer:<br \/>\nOpposite of positive integer is negative integer.<br \/>\nA negative integer is a whole number that has value less than zero. Negative integer are normally whole numbers, for example, -3, -5, -8, -10 etc<br \/>\nOpposite of negative integer is positive integer.<br \/>\nThe positive integer are the numbers 1, 2, 3, &#8230; , sometimes called the counting numbers or natural numbers, for example , +1, 2 , +3 &#8230;&#8230;..<br \/>\nOpposite of zero<br \/>\nWe do not consider zero to be a positive or negative number. So, zero (0) opposite is zero(0).<\/p>\n<p>Question 17.<br \/>\nThe world record for scuba diving is 332 meters below sea level. Write an integer that represents a new world record. Explain.<br \/>\nAnswer:<br \/>\n1090 ft is represented as the new world record in scuba diving.<br \/>\nExplanation:<br \/>\nconverting m to ft<br \/>\n1 m &#8211; 3.2808 ft<br \/>\n332 m &#8211; 1090 ft.<\/p>\n<p>Question 18.<br \/>\nThe indoor and outdoor temperatures are shown. The freezing point of water is 32\u00b0F. Write integers that represent how each temperature must change to reach the freezing point of water. Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24900\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.1-4.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.1 4\" width=\"125\" height=\"201\" \/><br \/>\nAnswer:<br \/>\nGiven:<br \/>\nFreezing point of water = 32\u00b0F<br \/>\nFrom the pic the outdoor temperature = 25\u00b0F<br \/>\nTo reach the freezing point of water outdoor we need to increase the temperature outdoor temperature.<br \/>\n32\u00b0F -25\u00b0F = 7\u00b0F<br \/>\nOutdoor temperature should be increased by 7\u00b0F.<br \/>\nFrom the pic indoor temperature= 68\u00b0F<br \/>\nSimilarly, to reach the freezing point of water indoor we need to decrease the indoor temperature.<br \/>\n68\u00b0F -32\u00b0F = 36\u00b0F<br \/>\nIndoor temperature should be reduced by 36\u00b0F.<\/p>\n<p>Question 19.<br \/>\nAn ion is an atom that has a positive or negative electric charge. When an ion has more protons than electrons, it has a positive charge. When an ion has fewer protons than electrons, it has a negative charge. Explain what it means for an atom to have an electric charge of zero.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24901\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.1-5.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.1 5\" width=\"170\" height=\"177\" \/><br \/>\nAnswer:<br \/>\nWhen an\u00a0atom\u00a0has an equal number of electrons and protons, it has an equal number of negative\u00a0electric charges\u00a0(the electrons) and positive\u00a0electric charges\u00a0(the protons). The total\u00a0electric charge\u00a0of the\u00a0atom is\u00a0therefore\u00a0zero\u00a0and the\u00a0atom is said to be neutral.<\/p>\n<h3><a id=\"Integers_Homework_&amp;_Practice_8.1\"><\/a>Integers Homework &amp; Practice 8.1<\/h3>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Find the volume of the prism.<\/strong><br \/>\nQuestion 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24902\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.1-6.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.1 6\" width=\"167\" height=\"108\" \/><br \/>\nAnswer:<br \/>\nGiven:<br \/>\nLength of cuboid : 4\/5 mm<br \/>\nWidth of the cuboid: 1\/2 mm<br \/>\nHeight of the cuboid: 3\/8 mm<br \/>\nVolume of the cuboid = l*w*h<br \/>\n\\(\\frac{4}{5}\\)*\\(\\frac{1}{2}\\)*\\(\\frac{3}{8}\\)= (4x1x3)\/(5x2x8)=3\/20<br \/>\n\\(\\frac{3}{20}\\) cubic mm.<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24903\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.1-7.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.1 7\" width=\"152\" height=\"134\" \/><br \/>\nAnswer:<br \/>\nGiven:<br \/>\nLength of cuboid : 4\/5 yd<br \/>\nWidth of the cuboid: 5\/8 yd<br \/>\nHeight of the cuboid: 3\/4 yd<br \/>\nVolume of the cuboid = l*w*h<br \/>\n\\(\\frac{4}{5}\\)*\\(\\frac{5}{8}\\)*\\(\\frac{3}{4}\\)= (4x5x3)\/(5x8x4)=3\/8<br \/>\n\\(\\frac{3}{8}\\) cubic yd.<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24904\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.1-8.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.1 8\" width=\"192\" height=\"102\" \/><br \/>\nAnswer:<br \/>\nGiven:<br \/>\nLength of cuboid : 15\/4 ft<br \/>\nWidth of the cuboid: 4\/3 ft<br \/>\nHeight of the cuboid: 8\/5 ft<br \/>\nVolume of the cuboid = l*w*h<br \/>\n\\(\\frac{15}{4}\\)*\\(\\frac{4}{3}\\)*\\(\\frac{8}{5}\\)= (15x4x8)\/(4x3x5)=8<br \/>\n\\(\\frac{8}{1}\\) cubic ft.<\/p>\n<p><strong>Factor the expression using the GCF.<\/strong><br \/>\nQuestion 4.<br \/>\n4m + 32<br \/>\nAnswer:<br \/>\nWhen we find all the factors of two or more numbers, and some factors are the same (&#8220;common&#8221;), then the largest of those common factors is the\u00a0Greatest Common Factor. Abbreviated &#8220;GCF&#8221;.<br \/>\n4m + 32<br \/>\ndivide the equation by 4<br \/>\n\\(\\frac{4m}{4}\\) + \\(\\frac{32}{4}\\)<br \/>\n\\(\\frac{4(m + 8)}{1}\\)<br \/>\n4 is the greatest common factor.<\/p>\n<p>Question 5.<br \/>\n18z &#8211; 22<br \/>\nAnswer:<br \/>\n18z &#8211; 22<br \/>\nTake 2 common we get,<br \/>\n2 ( 9z &#8211; 11)<br \/>\n2\u00a0is the greatest common factor.<br \/>\nExplanation:<br \/>\nWhen we find all the factors of two or more numbers, and some factors are the same (&#8220;common&#8221;), then the largest of those common factors is the\u00a0Greatest Common Factor. Abbreviated &#8220;GCF&#8221;.<\/p>\n<p>Question 6.<br \/>\n38x + 80<br \/>\nAnswer:<br \/>\n38x + 80<br \/>\nTake 2 common we get,<br \/>\n2 ( 19z + 40)<br \/>\nno more possible to simplify so<br \/>\n2\u00a0is the greatest common factor.<br \/>\nExplanation:<br \/>\nWhen we find all the factors of two or more numbers, and some factors are the same (&#8220;common&#8221;), then the largest of those common factors is the\u00a0Greatest Common Factor. Abbreviated &#8220;GCF&#8221;.<\/p>\n<p>Question 7.<br \/>\n42n &#8211; 27s<br \/>\nAnswer:<br \/>\n42n &#8211; 27s<br \/>\nTake 3 common we get,<br \/>\n3 (14n &#8211; 9s)<br \/>\nno more possible to simplify so<br \/>\n3 is the greatest common factor.<br \/>\nExplanation:<br \/>\nWhen we find all the factors of two or more numbers, and some factors are the same (&#8220;common&#8221;), then the largest of those common factors is the\u00a0Greatest Common Factor. Abbreviated &#8220;GCF&#8221;.<\/p>\n<p>Question 8.<br \/>\nThe height of a statue is 276 inches. What is the height of the statue in meters? Round your answer to the nearest hundredth.<br \/>\nA. 1.09 m<br \/>\nB. 7.01 m<br \/>\nC. 108.66 m<br \/>\nD. 701.04 m<br \/>\nAnswer:<br \/>\n1 inch = 0.025 m<br \/>\nHeight of a statue = 276 inches<br \/>\nconvert it into meters =276 inch x 0.025 = 7.01 m<br \/>\nSo,<br \/>\nB is the answer.<\/p>\n<p><strong>Concepts, Skills, &amp; Problem Solving<\/strong><\/p>\n<p><strong>OPEN-ENDED<\/strong> Describe a situation that can be represented by the integer. (See Exploration 1, p. 345.)<br \/>\nQuestion 9.<br \/>\n&#8211; 6<br \/>\nAnswer:<br \/>\nThe Temperature is decreased by 6 \u00b0F<\/p>\n<p>Question 10.<br \/>\n12<br \/>\nAnswer:<br \/>\nEarned bonus of 12 points<\/p>\n<p>Question 11.<br \/>\n&#8211; 45<br \/>\nAnswer:<br \/>\nHad lose of 45 coins .<\/p>\n<p><strong>WRITING INTEGERS<\/strong> Write a positive or negative integer that represents the situation.<br \/>\nQuestion 12.<br \/>\nA football team loses 3 yards.<br \/>\nAnswer:<br \/>\n-3<br \/>\nAs loses represents negative<\/p>\n<p>Question 13.<br \/>\nThe temperature is 6 degrees below zero.<br \/>\nAnswer:<br \/>\nbelow zero indicates negative<br \/>\n-6 degrees<\/p>\n<p>Question 14.<br \/>\nYou earn $15 raking leaves.<br \/>\nAnswer:<br \/>\nEarn represents positive<br \/>\n+15$<\/p>\n<p>Question 15.<br \/>\nA person climbs 600 feet up a mountain.<br \/>\nAnswer:<br \/>\n+600 feet as its up a mountain.<\/p>\n<p>Question 16.<br \/>\nYou withdraw$42 from an account.<br \/>\nAnswer:<br \/>\n-42$ withdraw from my account.<\/p>\n<p>Question 17.<br \/>\nAn airplane climbs to 37,500 feet.<br \/>\nAnswer:<br \/>\nAn airplane climbs to +37,500 feet<\/p>\n<p>Question 18.<br \/>\nThe temperature rises 17 degrees.<br \/>\nAnswer:<br \/>\nTemperature rises indicates increase +17 degrees<\/p>\n<p>Question 19.<br \/>\nYou lose 56 points in a video game.<br \/>\nAnswer:<br \/>\nI lose -56 points from my video game.<\/p>\n<p>Question 20.<br \/>\nA ball falls 350 centimeters.<br \/>\nAnswer:<br \/>\nA ball falls -350 centimeters<\/p>\n<p>Question 21.<br \/>\nYou receive 5 bonus points in class.<br \/>\nAnswer:<br \/>\nI receive +5 points in class.<\/p>\n<p>Question 22.<br \/>\n<strong>MODELING REAL LIFE<\/strong><br \/>\nOn December 17, 1903, the Wright brothers accomplished the first powered flight. The plane traveled a distance of 120 feet. Write this distance as an integer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24905\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.1-9.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.1 9\" width=\"235\" height=\"155\" \/><br \/>\nAnswer:<br \/>\nDistance Traveled by the plane = 120 feet.<br \/>\nIt means +120 .<\/p>\n<p>Question 23.<br \/>\n<strong>MODELING REAL LIFE<\/strong><br \/>\nA stock market gains 83 points. The next day, the stock market loses 47 points. Write each amount as an integer.<br \/>\nAnswer:<br \/>\n+83 = Stock Market gains 83 points.<br \/>\n&#8211; 47 = The next day the stock market loses 47 points.<\/p>\n<p><strong>GRAPHING INTEGERS<\/strong><br \/>\nGraph the integer and its opposite.<br \/>\nQuestion 24.<br \/>\n&#8211; 5<br \/>\nAnswer:<br \/>\nThe opposite of -5 = +5<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33586\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-GRAPHING-INTEGERS-Question-24.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-GRAPHING-INTEGERS-Question-24\" width=\"526\" height=\"68\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-GRAPHING-INTEGERS-Question-24.jpg 526w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-GRAPHING-INTEGERS-Question-24-300x39.jpg 300w\" sizes=\"(max-width: 526px) 100vw, 526px\" \/><\/p>\n<p>Question 25.<br \/>\n&#8211; 8<br \/>\nAnswer:<br \/>\nThe opposite of -8 = +8<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33588\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-25.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-25\" width=\"528\" height=\"64\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-25.jpg 528w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-25-300x36.jpg 300w\" sizes=\"(max-width: 528px) 100vw, 528px\" \/><\/p>\n<p>Question 26.<br \/>\n14<br \/>\nAnswer:<br \/>\nThe opposite of 14 = -14<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33590\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-26.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-26\" width=\"526\" height=\"49\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-26.jpg 526w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-26-300x28.jpg 300w\" sizes=\"(max-width: 526px) 100vw, 526px\" \/><\/p>\n<p>Question 27.<br \/>\n9<br \/>\nAnswer:<br \/>\nThe opposite of 9 = -9<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33591\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-27.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-27\" width=\"526\" height=\"64\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-27.jpg 526w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-27-300x37.jpg 300w\" sizes=\"(max-width: 526px) 100vw, 526px\" \/><\/p>\n<p>Question 28.<br \/>\n&#8211; 14<br \/>\nAnswer:<br \/>\nThe opposite of -14 = +14<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33592\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-28.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-28\" width=\"527\" height=\"48\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-28.jpg 527w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-28-300x27.jpg 300w\" sizes=\"(max-width: 527px) 100vw, 527px\" \/><\/p>\n<p>Question 29.<br \/>\n20<br \/>\nAnswer:<br \/>\nThe opposite of +20 = -20<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33594\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-29.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-29\" width=\"535\" height=\"64\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-29.jpg 535w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-29-300x36.jpg 300w\" sizes=\"(max-width: 535px) 100vw, 535px\" \/><\/p>\n<p>Question 30.<br \/>\n&#8211; 26<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-34084 size-full\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-30.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-30\" width=\"583\" height=\"105\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-30.jpg 583w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-30-300x54.jpg 300w\" sizes=\"(max-width: 583px) 100vw, 583px\" \/><\/p>\n<p>Question 31.<br \/>\n18<br \/>\nAnswer:<br \/>\nThe opposite of 18 is -18<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33595\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-31.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-31\" width=\"527\" height=\"67\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-31.jpg 527w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-31-300x38.jpg 300w\" sizes=\"(max-width: 527px) 100vw, 527px\" \/><\/p>\n<p>Question 32.<br \/>\n30<br \/>\nAnswer:<br \/>\nThe opposite of 30 is &#8211; 30<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-33599\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-32.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-32\" width=\"552\" height=\"77\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-32.jpg 552w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-32-300x42.jpg 300w\" sizes=\"(max-width: 552px) 100vw, 552px\" \/><\/p>\n<p>Question 33.<br \/>\n&#8211; 150<br \/>\nAnswer:<br \/>\nThe opposite of -150 is 150<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34089\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-33.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-33\" width=\"572\" height=\"92\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-33.jpg 572w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-33-300x48.jpg 300w\" sizes=\"(max-width: 572px) 100vw, 572px\" \/><br \/>\nQuestion 34.<br \/>\n&#8211; 32<br \/>\nAnswer:<br \/>\nThe opposite of &#8211; 32 is 32<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34091\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-34.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-34\" width=\"608\" height=\"105\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-34.jpg 608w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-34-300x52.jpg 300w\" sizes=\"(max-width: 608px) 100vw, 608px\" \/><\/p>\n<p>Question 35.<br \/>\n400<br \/>\nAnswer:<br \/>\nThe opposite of 400 is -400<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34092\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-35.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-35\" width=\"564\" height=\"82\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-35.jpg 564w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Homework-Practice-8.1-Graphing-Integers-Question-35-300x44.jpg 300w\" sizes=\"(max-width: 564px) 100vw, 564px\" \/><\/p>\n<p>Question 36.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend describes the positive integers. Is your friend correct? Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24906\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.1-10.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.1 10\" width=\"287\" height=\"68\" \/><br \/>\nAnswer:<br \/>\nNo<br \/>\nExplanation:<br \/>\nThe natural numbers 1, 2, 3, 4, 5, \u2026\u2026\u2026 are called\u00a0positive integers.<br \/>\nPositive numbers\u00a0are represented to the right of zero on the number line. Positive numbers\u00a0are greater than negative\u00a0numbers\u00a0as well a zero.<br \/>\nBecause zero is neither\u00a0positive\u00a0nor\u00a0negative . Zero is a neutral number.<\/p>\n<p><strong>USING A NUMBER LINE<\/strong> Identify the integer represented by the point on the number line.<br \/>\nQuestion 37.<br \/>\nA<br \/>\nAnswer:<br \/>\nThe point A is marked at 5<\/p>\n<p>Question 38.<br \/>\nB<br \/>\nAnswer:<br \/>\nThe point B is marked at -8<\/p>\n<p>Question 39.<br \/>\nC<br \/>\nAnswer:<br \/>\nThe point C is marked at -15<\/p>\n<p>Question 40.<br \/>\nD<br \/>\nAnswer:<br \/>\nThe point D is marked at 18<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-24907\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.1-11.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.1 11\" width=\"594\" height=\"58\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.1-11.png 594w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.1-11-300x29.png 300w\" sizes=\"(max-width: 594px) 100vw, 594px\" \/><\/p>\n<p>Question 41.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nLow tide, represented by the integer \u22121, is 1 foot below the average water level. High tide is 5 feet higher than low tide.<br \/>\na. What does 0 represent in this situation?<br \/>\nb. Write an integer that represents the average water level relative to high tide.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24908\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.1-12.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.1 12\" width=\"252\" height=\"193\" \/><br \/>\nAnswer a :<br \/>\nThe Low Tide = -1<br \/>\nAverage water level = 0<br \/>\nExplanation:<br \/>\nAs the low tide is just below average water level . When average water level =0<br \/>\nThen low tide can be &#8211; 1<br \/>\nAnswer b :<br \/>\nHigh Tide = 4<br \/>\nExplanation:<br \/>\nHigh tide is 5 feet higher than low tide so we get<br \/>\nHigh Tide = -1 + 5 = 4<br \/>\nAn integer that represents the average water level relative to high tide = 4<\/p>\n<p>Question 42.<br \/>\n<strong>REPEATED REASONING<\/strong><br \/>\nConsider an integer n.<br \/>\na. Is the opposite of n always less than 0? Explain your reasoning.<br \/>\nb. What can you conclude about the opposite of the opposite of n? Justify your answer.<br \/>\nc. Describe the meaning of \u2212[\u2212(\u2212n)]. What is it equal to?<br \/>\nAnswer a:<br \/>\nOnly if n is a positive integer<br \/>\nExplanation:<br \/>\nThe integer n is a positive integer then\u00a0 only the negative integer of n is always less than 0 Positive numbers are represented to the right of zero on the number line and Negative\u00a0numbers are represented to the left of zero on the number line.<\/p>\n<p>Answer b :<br \/>\nn is a integer . opposite of n is -n and opposite of (opposite of n) = opposite of (-n)= +n<\/p>\n<p>Answer c :<br \/>\n&#8211; x &#8211; = +<br \/>\n&#8211; x + = &#8211;<br \/>\n\u2212[\u2212(\u2212n)]= means minus of minus of minus n<br \/>\n\u2212[\u2212(\u2212n)]= &#8211; (+ n)= -n<\/p>\n<p>Question 43.<br \/>\nIn a game of tug-of-war, a team wins by pulling the flag over its goal line. The flag begins at0. During a game, the flag moves 8 feet to the right,12 feet to the left, and 13 feet back to the right.Did a team win? Explain. If not, what does each team need to do in order to win?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24909\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.1-13.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.1 13\" width=\"504\" height=\"155\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.1-13.png 504w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.1-13-300x92.png 300w\" sizes=\"(max-width: 504px) 100vw, 504px\" \/><br \/>\nAnswer:<br \/>\nFlag begins at 0<br \/>\nAfter First pull:<br \/>\nThe flag moves 8 feet to the right means = 0 + 8 =8<br \/>\nAfter Second pull:<br \/>\nThe flag is at 8 now then it moves 12 feet to the left .<br \/>\nNow the flag is at = 8 &#8211; 12 = -4<br \/>\nAfter Third pull:<br \/>\nNow the flag is at -4 now then it moves to 13 feet to the right<br \/>\nThen the flag is at = -4 + 13 = 9<br \/>\nNow the flag is at 9 that means to win the flag should cross goal line that means + 10<br \/>\nNo team wins<br \/>\nTo win the right side team the flag should move 1 or more to the right<br \/>\nTo win the left side team the flag should move 11 or more to the left.<\/p>\n<h3><a id=\"Lesson_8.2_Comparing_and_Ordering_Integers\"><\/a>Lesson 8.2 Comparing and Ordering Integers<\/h3>\n<p><strong>EXPLORATION 1<\/strong><\/p>\n<p>Seconds to Liftoff<br \/>\nWork with a partner. You are listening to a command center before the liftoff of a rocket. You hear the following:<br \/>\n\u201cT minus 10 seconds . . . go for main engine start . . . T minus 9 . . . 8 . . . 7 . . . 6 . . . 5 . . . 4 . . . 3 . . . 2 . . . 1 . . . we have liftoff.\u201d<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24910\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-1.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.2 1\" width=\"176\" height=\"227\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24911\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-2.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.2 2\" width=\"644\" height=\"338\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-2.png 644w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-2-300x157.png 300w\" sizes=\"(max-width: 644px) 100vw, 644px\" \/><br \/>\na. Represent these events on a number line.<br \/>\nAnswer:<br \/>\nRocket clears launchpad tower = +6 = A Event<br \/>\nLaunch Verification = -16 = B Event<br \/>\nMain Engine Start = -3 = C Event<br \/>\nRocket Topping sequence complete = -110 = D Event<br \/>\nLaunch control system enabled = -90 = E Event<br \/>\nBoosters ignite = 0 = F Event<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34129\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.2-Comparing-Ordering-Integers-Exploration-1.png\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.2-Comparing-Ordering-Integers-Exploration-1\" width=\"902\" height=\"143\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.2-Comparing-Ordering-Integers-Exploration-1.png 902w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.2-Comparing-Ordering-Integers-Exploration-1-300x48.png 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.2-Comparing-Ordering-Integers-Exploration-1-768x122.png 768w\" sizes=\"(max-width: 902px) 100vw, 902px\" \/><br \/>\nb. List the events in the order they occurred. Explain your reasoning.<br \/>\nAnswer:<br \/>\n1 &#8211; Rocket Topping sequence complete = -110 = D Event<br \/>\n2 &#8211; Launch control system enabled = -90 = E Event<br \/>\n3 &#8211; Launch Verification = -16 = B Event<br \/>\n4 &#8211; Main Engine Start = -3 = C Event<br \/>\n5 &#8211; Boosters ignite = 0 = F Event<br \/>\n6 &#8211; Rocket clears launchpad tower = +16 = A Event<br \/>\nAs per the above number line the events which take place are ordered from left side to right side<\/p>\n<p>c. Extend the number line in part(a) to show events in an astronaut\u2019s day. Include at least five events before liftoff and at least five events after liftoff. Use the Internet or another reference source to gather information.<br \/>\nAnswer:<br \/>\n1 &#8211; Rocket Topping sequence complete = -110 = D Event<br \/>\n2 &#8211; Launch control system enabled = -90 = E Event<br \/>\n3 &#8211; Launch Verification = -16 = B Event<br \/>\n4 &#8211; Main Engine Start = -3 = C Event<br \/>\n5 &#8211; Boosters ignite = 0 = F Event<br \/>\n6 &#8211; Rocket clears launchpad tower = +6 = A Event<br \/>\n7- Stage 1 Burnout = +16 = G Event<br \/>\n8 &#8211; Fairing Jettison = +25 = H Event<br \/>\n9 &#8211; Stage 1 Separation = + 30 = I Event<br \/>\n10 &#8211; Stage 2 Ignition = +35 = J Event<br \/>\n11 &#8211; Transfer to the launch pad = &#8211; 120 = K Event<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34131\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.2-Comparing-Ordering-Integers-Exploration-1-C.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.2-Comparing-Ordering-Integers-Exploration-1-C\" width=\"902\" height=\"143\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.2-Comparing-Ordering-Integers-Exploration-1-C.jpg 902w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.2-Comparing-Ordering-Integers-Exploration-1-C-300x48.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.2-Comparing-Ordering-Integers-Exploration-1-C-768x122.jpg 768w\" sizes=\"(max-width: 902px) 100vw, 902px\" \/><\/p>\n<p>Recall that on a horizontal number line, numbers to the left are less than numbers to the right. Numbers to the right are greater than numbers to the left. On a vertical number line, numbers below are less than numbers above. Numbers above are greater than numbers below.<\/p>\n<p><strong>Try It<\/strong><\/p>\n<p><strong>Copy and Complete the statement using &lt; or &gt;.<\/strong><br \/>\nQuestion 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24912\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-3.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.2 3\" width=\"75\" height=\"34\" \/><br \/>\nAnswer:<br \/>\n0 &gt; -4<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater .Numbers to the right are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller. Think what the number represents. Think what the value is.<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24913\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-4.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.2 4\" width=\"81\" height=\"40\" \/><br \/>\nAnswer:<br \/>\n-5 &lt; 5<br \/>\nExplanation:<br \/>\nAll Positive Numbers are greater than the Negative numbers .<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24914\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-5.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.2 5\" width=\"92\" height=\"38\" \/><br \/>\nAnswer:<br \/>\n-8 &lt; -7<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater .Numbers to the right are greater.<br \/>\nWith negative numbers, we have to remember that as the digit gets bigger, the number gets smaller. Think what the number represents. Think what the value is.<\/p>\n<p><strong>Order the integers from least to greatest.<\/strong><br \/>\nQuestion 4.<br \/>\n-2, -3, 3, 1, -1<br \/>\nAnswer:<br \/>\n-3, -2, -1, 1, 3<\/p>\n<p>Question 5.<br \/>\n4, -7, -8, 6, 1<br \/>\nAnswer:<br \/>\n-8, -7, 1, 4, 6<\/p>\n<p>Question 6.<br \/>\nIn Example 3, what is the least possible integer value of the number?<br \/>\nAnswer:<\/p>\n<p><strong>Self-Assessment for Concepts &amp; Skills<\/strong><\/p>\n<p>Solve each exercise. Then rate your understanding of the success criteria in your journal.<br \/>\n<strong>ORDERING INTEGERS<\/strong> Order the integers from least to greatest.<br \/>\nQuestion 7.<br \/>\n6, &#8211; 4, &#8211; 1, 3, 5<br \/>\nAnswer:<br \/>\n-4, -1,\u00a0 3, 5, 6<\/p>\n<p>Question 8.<br \/>\n&#8211; 7, &#8211; 9, 0, 8, &#8211; 2<br \/>\nAnswer:<br \/>\n-9, -7, -2, 0, 8<\/p>\n<p>Question 9.<br \/>\n<strong>WRITING<\/strong><br \/>\nExplain how to determine which of two integers is greater.<br \/>\nAnswer:<\/p>\n<p>We are used to big positive numbers meaning a big value &#8211; the bigger the number, the more, or higher, or longer, or expensive, or whatever the number represents.<\/p>\n<p>With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller. Think what the number represents and what the value is.<\/p>\n<p>Question 10.<br \/>\n<strong>REASONING<\/strong><br \/>\nThe positions of four fish are shown.<br \/>\na. Use red, blue, yellow, and green dots to graph the positions of the fish on a horizontal number line and a vertical number line.<br \/>\nb. Explain how to use the number lines from part(a) to order the positions from least to greatest.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24915\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-6.1.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.2 6.1\" width=\"191\" height=\"189\" \/><br \/>\nAnswer a :<br \/>\nThe position of red fish = -4<br \/>\nThe position of Yellow fish = -6<br \/>\nThe position of green fish = 0<br \/>\nThe position of Blue fish = 8<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34133\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Self-Assessment-for-Concepts-Skills-Question-10-1a.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Self-Assessment-for-Concepts-Skills-Question -10-1a\" width=\"539\" height=\"68\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Self-Assessment-for-Concepts-Skills-Question-10-1a.jpg 539w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Self-Assessment-for-Concepts-Skills-Question-10-1a-300x38.jpg 300w\" sizes=\"(max-width: 539px) 100vw, 539px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34134\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Self-Assessment-for-Concepts-Skills-Question-10-2a.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Self-Assessment-for-Concepts-Skills-Question -10-2a\" width=\"104\" height=\"543\" \/><br \/>\nAnswer b:<br \/>\nLeast to greatest numbers are<br \/>\n-6, -4, 0, 8<br \/>\nExplanation:<br \/>\nFrom the above horizontal number line we notice that the numbers from left to right of number line\u00a0 represent least to greatest numbers.<\/p>\n<p>Question 11.<br \/>\n<strong>NUMBER SENSE<\/strong><br \/>\na and bare negative integers. Compare a and b. Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24916\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-6.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.2 6\" width=\"176\" height=\"45\" \/><br \/>\nAnswer:<\/p>\n<p>b &gt; a<br \/>\nExplanation:<br \/>\nwe notice that the numbers from left to right of number line\u00a0 represent least to greatest numbers.The Negative Numbers which are near to the 0 are greater .Numbers to the right are greater.<br \/>\nWith negative numbers, we have to remember that as the digit gets bigger, the number gets smaller. Think what the number represents. Think what the value is..<\/p>\n<p>Question 12.<br \/>\nThe freezing temperature of nitrogen is \u2212210\u00b0C, and the freezing temperature of oxygen is \u2212219\u00b0C. A container of nitrogen and a container of oxygen are both cooled to \u2212215\u00b0C. Do the contents of each container freeze? Explain.<br \/>\nAnswer:<br \/>\nThe temperature of liquid nitrogen can readily be reduced to its freezing point\u00a063 K\u00a0(\u2212210 \u00b0C; \u2212346 \u00b0F) by placing it in a vacuum chamber pumped by a vacuum pump<br \/>\nThe temperature at which a substance freezes\u00a0is called the\u00a0freezing\u00a0point. The\u00a0freezing point of oxygen is -219\u00b0C .\u00a0This means that they\u00a0need\u00a0to be cooled to lower temperatures to make them\u00a0freeze.<\/p>\n<p>Question 13.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nThe diagram shows the daily high temperatures during a school week. Was a positive Celsius temperature recorded on Tuesday? on Friday? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24917\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-7.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.2 7\" width=\"370\" height=\"128\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-7.png 370w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-7-300x104.png 300w\" sizes=\"(max-width: 370px) 100vw, 370px\" \/><br \/>\nAnswer:<br \/>\nNo<br \/>\nExplanation:<br \/>\nThe natural numbers 1, 2, 3, 4, 5, \u2026\u2026\u2026 are called\u00a0positive integers.<br \/>\nPositive numbers\u00a0are represented to the right of zero on the number line. Positive numbers\u00a0are greater than negative\u00a0numbers\u00a0as well a zero.<br \/>\nBecause zero is neither\u00a0positive\u00a0nor\u00a0negative . Zero is a neutral number.<br \/>\nTherefore positive Celsius temperature recorded on Monday and Friday .<\/p>\n<h3>Comparing and Ordering Integers Homework &amp; Practice 8.2<\/h3>\n<h3><img loading=\"lazy\" class=\"alignnone size-full wp-image-34137\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Comparing-Ordering-Integers-Homework-Practice-8.2-Question-34-a.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Comparing-Ordering-Integers-Homework-Practice-8.2-Question-34-a\" width=\"475\" height=\"177\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Comparing-Ordering-Integers-Homework-Practice-8.2-Question-34-a.jpg 475w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Comparing-Ordering-Integers-Homework-Practice-8.2-Question-34-a-300x112.jpg 300w\" sizes=\"(max-width: 475px) 100vw, 475px\" \/>.2<\/h3>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Write a positive or negative integer that represents the situation.<\/strong><br \/>\nQuestion 1.<br \/>\nYou walk up 83 stairs.<br \/>\nAnswer:<br \/>\nup indicates + .so it is + 83<\/p>\n<p>Question 2.<br \/>\nA whale is 17 yards below sea level.<br \/>\nAnswer:<br \/>\nBelow indicates &#8211; . So it is -17<\/p>\n<p>Question 3.<br \/>\nAn organization receives a $75 donation.<br \/>\nAnswer:<br \/>\nReceives indicates +. So it is +$75<\/p>\n<p>Question 4.<br \/>\nA rock falls 250 feet off a cliff.<br \/>\nAnswer:<br \/>\nFalls indicates &#8211; . So it is -250<\/p>\n<p>Question 5.<br \/>\nWhat is the area of the trapezoid?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24918\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-8.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.2 8\" width=\"205\" height=\"96\" \/><br \/>\nA. 6.3 ft<sup>2<\/sup><br \/>\nB. 44.1 ft<sup>2<\/sup><br \/>\nC. 50.4 ft<sup>2<\/sup><br \/>\nD. 88.2 ft<sup>2<\/sup><br \/>\nAnswer:<br \/>\nHeight of Trapezoid = 4.2ft<br \/>\nBase 1 of Trapezoid = 12ft<br \/>\nBase 2 of Trapezoid = 9 ft<br \/>\nArea of Trapezoid = half-height \u00d7 (base1 + base2) = \\(\\frac{4.2}{2}\\) (12 + 9)<br \/>\n=2.1 \u00d7 21 = 44.1 ft<sup>2<\/sup><\/p>\n<p><strong>Divide. Write the answer in simplest form.<\/strong><br \/>\nQuestion 6.<br \/>\n\\(\\frac{1}{5} \\div \\frac{1}{9}\\)<br \/>\nAnswer:<br \/>\n\\(\\frac{1}{5}\\)\u00f7latex]\\frac{9}{1}[\/latex]= 9\/5=1.8<\/p>\n<p>Question 7.<br \/>\n\\(\\frac{2}{5} \\div \\frac{1}{3}\\)<br \/>\nAnswer:<br \/>\n(2\/5) \/(1\/3) = (2\u00d73) \/5 = 6\/5=1.2<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{1}{4}\\) \u00f7 3<br \/>\nAnswer:<br \/>\n\\(\\frac{1}{4}\\)\u00d7 \\(\\frac{1}{3}\\)=\\(\\frac{1}{12}\\) = 0.083<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{4}{7}\\) \u00f7 8<br \/>\nAnswer:<br \/>\n\\(\\frac{4}{7}\\) \u00d7 \\(\\frac{1}{8}\\)=\\(\\frac{1}{14}\\) =0.071<\/p>\n<p><strong>Concepts, Skills, &amp;Problem Solving<\/strong><\/p>\n<p><strong>OPEN-ENDED<\/strong> Name an event that could occur at the given time (in seconds) in Exploration 1. Describe when the event occurs in the order of events from the exploration. (See Exploration 1, p. 351.)<\/p>\n<p>Question 10.<br \/>\n&#8211; 300<br \/>\nAnswer:<\/p>\n<p>Question 11.<br \/>\n&#8211; 150<br \/>\nAnswer:<\/p>\n<p>Question 12.<br \/>\n10<br \/>\nAnswer:<\/p>\n<p><strong>COMPARING INTEGERS Copy and complete the statement using &lt; or &gt;.<br \/>\n<\/strong>Question 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24919\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-9.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.2 9\" width=\"71\" height=\"40\" \/><br \/>\nAnswer:<br \/>\n3 &gt; 0<br \/>\nExplanation:<br \/>\nAll Positive Numbers are greater than the Negative numbers .<\/p>\n<p>Question 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24920\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-10.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.2 10\" width=\"68\" height=\"36\" \/><br \/>\nAnswer:<br \/>\n-2 &lt; 0<br \/>\nExplanation:<br \/>\nAll Positive Numbers are greater than the Negative numbers .<\/p>\n<p>Question 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24921\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-11.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.2 11\" width=\"71\" height=\"31\" \/><br \/>\nAnswer:<br \/>\n6 &gt; -6<br \/>\nExplanation:<br \/>\nAll Positive Numbers are greater than the Negative numbers .<\/p>\n<p>Question 16.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24922\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-12.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.2 12\" width=\"78\" height=\"32\" \/><br \/>\nAnswer:<br \/>\n3 &gt; -4<br \/>\nExplanation:<br \/>\nAll Positive Numbers are greater than the Negative numbers .<\/p>\n<p>Question 17.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24923\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-13.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.2 13\" width=\"80\" height=\"30\" \/><br \/>\nAnswer:<br \/>\n-1 &lt; 4<br \/>\nExplanation:<br \/>\nAll Positive Numbers are greater than the Negative numbers .<\/p>\n<p>Question 18.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24924\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-14.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.2 14\" width=\"84\" height=\"33\" \/><br \/>\nAnswer:<br \/>\n-7 &gt; -8<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater .Numbers to the right are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<\/p>\n<p>Question 19.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24925\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-15.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.2 15\" width=\"78\" height=\"34\" \/><br \/>\nAnswer:<br \/>\n-3 &lt; -2<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater .Numbers to the right are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<\/p>\n<p>Question 20.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24926\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-16.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.2 16\" width=\"94\" height=\"38\" \/><br \/>\nAnswer:<br \/>\n-5 &gt; &#8211; 10<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater .Numbers to the right are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<\/p>\n<p><strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend compares two integers. Is your friend correct? Explain your reasoning.<br \/>\nQuestion 21.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24927\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-17.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.2 17\" width=\"181\" height=\"81\" \/><br \/>\nAnswer:<br \/>\nNo My friend is wrong.<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater .Numbers to the right are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<br \/>\n-1 is nearer to 0 than -3 so -1 is greater<br \/>\n-3 &lt; &#8211; 1<\/p>\n<p>Question 22.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24928\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-18.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.2 18\" width=\"230\" height=\"97\" \/><br \/>\nAnswer:<br \/>\nYes it is True .<br \/>\n&#8211; 7 &lt; -3<\/p>\n<p><strong>ORDERING INTEGERS<\/strong> Order the integers from least to greatest.<br \/>\nQuestion 23.<br \/>\n0, &#8211; 1, 2, 3, &#8211; 3<br \/>\nAnswer:<br \/>\n-3, -1, 0, 2, 3<br \/>\nExplanation:<br \/>\nWith negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.All Positive Numbers are greater than the Negative numbers .<\/p>\n<p>Question 24.<br \/>\n&#8211; 4, &#8211; 2, &#8211; 3, 2, 1<br \/>\nAnswer:<br \/>\n-4, -3, -2, 1, 2<br \/>\nExplanation:<br \/>\nWith negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.All Positive Numbers are greater than the Negative numbers .<\/p>\n<p>Question 25.<br \/>\n&#8211; 2, 3, &#8211; 3, &#8211; 4, 4<br \/>\nAnswer:<br \/>\n-4, -3, -2, 3, 4<br \/>\nExplanation:<br \/>\nWith negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.All Positive Numbers are greater than the Negative numbers .<\/p>\n<p>Question 26.<br \/>\n5, &#8211; 11, &#8211; 9, 3, &#8211; 4<br \/>\nAnswer:<br \/>\n-11, -9, -4. 3, 5<br \/>\nExplanation:<br \/>\nWith negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.All Positive Numbers are greater than the Negative numbers .<\/p>\n<p>Question 27.<br \/>\n&#8211; 3, 8, 4, 0, &#8211; 13<br \/>\nAnswer:<br \/>\n-13, -3, 0, 4, 8<br \/>\nExplanation:<br \/>\nWith negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.All Positive Numbers are greater than the Negative numbers .<\/p>\n<p>Question 28.<br \/>\n&#8211; 7, 2, 6, &#8211; 4, 3<br \/>\nAnswer:<br \/>\n-7, -4, 2, 3, 6<br \/>\nExplanation:<br \/>\nWith negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.All Positive Numbers are greater than the Negative numbers .<\/p>\n<p>Question 29.<br \/>\n12, &#8211; 8, &#8211; 16, 7, 1<br \/>\nAnswer:<br \/>\n-16, -8, 1, 7, 12<br \/>\nExplanation:<br \/>\nWith negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.All Positive Numbers are greater than the Negative numbers .<\/p>\n<p>Question 30.<br \/>\n10, &#8211; 10, 30, &#8211; 30, &#8211; 50<br \/>\nAnswer:<br \/>\n-50, -30, -10, 10, 30<br \/>\nExplanation:<br \/>\nWith negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.All Positive Numbers are greater than the Negative numbers .<\/p>\n<p>Question 31.<br \/>\n&#8211; 5, 15, &#8211; 10, &#8211; 20, 25<br \/>\nAnswer:<br \/>\n-20, -10, -5, 15, 25<br \/>\nExplanation:<br \/>\nWith negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.All Positive Numbers are greater than the Negative numbers .<\/p>\n<p>Question 32.<br \/>\n<strong>MODELING REAL LIFE<\/strong><br \/>\nAn archaeologist discovers the two artifacts shown.<br \/>\na. What integer represents ground level?<br \/>\nb. A dinosaur bone is 42 centimeters below ground level. Is it deeper than both of the artifacts? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24929\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-19.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.2 19\" width=\"228\" height=\"190\" \/><br \/>\nAnswer a :<br \/>\nAn integer represents ground level = 0 (as it is neutral)<br \/>\nAnswer b :<br \/>\nDinosaur bone is at = &#8211; 42cms<br \/>\nFirst artifact is at =-38 cms<br \/>\nSecond artifact is at = &#8211; 44 cms<br \/>\nNo it not depper than both the artifacts.<br \/>\nExplanation:<br \/>\nIt is in between the artifacts. as -42 lies in between -38 and -44<\/p>\n<p>Question 33.<br \/>\n<strong>REASONING<\/strong><br \/>\nA number is between \u22122 and \u221210. What is the least possible integer value of this number? What is the greatest possible integer value of this number?<br \/>\nAnswer:<br \/>\nThe numbers between -2 and -10 = -3, -4, -5, -6, -7, -8, -9<br \/>\nGreatest value = -3<br \/>\nLeast Value = &#8211; 9<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater .Numbers to the right are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<\/p>\n<p>Question 34.<br \/>\n<strong>NUMBER SENSE<\/strong><br \/>\nDescribe the locations of the integers m and n on a number line for each situation.<br \/>\na. m &lt; n<br \/>\nb. m &gt; n<br \/>\nc. n &gt; m<br \/>\nAnswer a :<br \/>\nm &lt; n where m = 1 and n = 3<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34137\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Comparing-Ordering-Integers-Homework-Practice-8.2-Question-34-a.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Comparing-Ordering-Integers-Homework-Practice-8.2-Question-34-a\" width=\"475\" height=\"177\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Comparing-Ordering-Integers-Homework-Practice-8.2-Question-34-a.jpg 475w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Comparing-Ordering-Integers-Homework-Practice-8.2-Question-34-a-300x112.jpg 300w\" sizes=\"(max-width: 475px) 100vw, 475px\" \/><br \/>\nAnswer b :<br \/>\nm &gt; n where n = -1 and m = 1<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34138\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Comparing-Ordering-Integers-Homework-Practice-8.2-Question-34-b.png\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Comparing-Ordering-Integers-Homework-Practice-8.2-Question-34-b\" width=\"526\" height=\"212\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Comparing-Ordering-Integers-Homework-Practice-8.2-Question-34-b.png 526w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Comparing-Ordering-Integers-Homework-Practice-8.2-Question-34-b-300x121.png 300w\" sizes=\"(max-width: 526px) 100vw, 526px\" \/><br \/>\nAnswer c :<br \/>\nn &gt; m where n = 5 and m = -5<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34139\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Comparing-Ordering-Integers-Homework-Practice-8.2-Question-34-c.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Comparing-Ordering-Integers-Homework-Practice-8.2-Question-34-c\" width=\"526\" height=\"212\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Comparing-Ordering-Integers-Homework-Practice-8.2-Question-34-c.jpg 526w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Comparing-Ordering-Integers-Homework-Practice-8.2-Question-34-c-300x121.jpg 300w\" sizes=\"(max-width: 526px) 100vw, 526px\" \/><\/p>\n<p><strong>CRITICAL THINKING<\/strong> Tell whether the statement is always, sometimes, or never true. Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24930\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-20.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.2 20\" width=\"318\" height=\"164\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-20.png 318w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-20-300x155.png 300w\" sizes=\"(max-width: 318px) 100vw, 318px\" \/><br \/>\nQuestion 35.<br \/>\nA positive integer is greater than its opposite.<br \/>\nAnswer:<br \/>\nYES,<br \/>\nExplanation:<br \/>\nThe opposite number of a positive number is negative numbers. Negative are always lesser than positive numbers.<\/p>\n<p>Question 36.<br \/>\nAn integer is less than its opposite and greater than 0.<br \/>\nAnswer:<br \/>\nNo<br \/>\nExplanation:<br \/>\ninteger = 5<br \/>\nThe opposite of 5 is -5<br \/>\nHere integer is not less than its oppositeand greater than 0 it is -5 &lt; 5 .<\/p>\n<p>Question 37.<br \/>\n<strong>MODELING REAL LIFE<\/strong><br \/>\nThe table shows the highest and lowest elevations for five states.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24931\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-21.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.2 21\" width=\"332\" height=\"186\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-21.png 332w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.2-21-300x168.png 300w\" sizes=\"(max-width: 332px) 100vw, 332px\" \/><br \/>\na. Order the states by their highest elevations, from least to greatest.<br \/>\nb. Order the states by their lowest elevations, from least to greatest.<br \/>\nc. What does the lowest elevation for Florida represent?<br \/>\nAnswer a :<br \/>\nFlorida &lt; Louisiana &lt;Arkansas &lt; Tennessee &lt; California<br \/>\n345&lt; 535 &lt; 2753 &lt; 6643 &lt; 14494<br \/>\nAnswer b :<br \/>\nCalifornia &lt; Louisiana &lt; Florida &lt; Arkansas &lt; Tennessee<br \/>\n-282 &lt; -8 &lt; 0 &lt; 55 &lt; 178<\/p>\n<p>Question 38.<br \/>\n<strong>NUMBER SENSE<\/strong><br \/>\nPoint A is on a number line halfway between \u221217 and 5. Point Bis halfway between Point A and 0. What integer does Point B represent?<br \/>\nAnswer:<br \/>\nPoint A = half way between -17 and 5 = (- 17 + 5) \u00f7 2 = &#8211; 12\u00f72 = -6<br \/>\nPoint B = halfway between Point A and 0 = (-6 + 0) \u00f7 2= -6 \u00f7 2 = &#8211; 3<br \/>\nTherefore Point B represent -3 integer<\/p>\n<p>Question 39.<br \/>\n<strong>REASONING<\/strong><br \/>\nEleven Fahrenheit temperatures are shown on a map during a weather report. When the temperatures are ordered from least to greatest, the middle temperature is below off. Do you know exactly how many of the temperatures are represented by negative numbers? Explain.<br \/>\nAnswer:<\/p>\n<p>Question 40.<br \/>\n<strong>PUZZLE<\/strong><br \/>\nNine students each choose one integer. Here are seven of them:<br \/>\n5, \u2212 8, 10, \u2212 1, \u2212 12, \u2212 20, and 1.<br \/>\na. When all nine integers are ordered from least to greatest, the middle integer is 1. Describe the integers chosen by the other two students.<br \/>\nb. When all nine integers are ordered from least to greatest, the middle integer is \u22123. Describe the integers chosen by the other two students.<\/p>\n<p>Answer a :<br \/>\nOrder the numbers so that 1 is in the middle:<br \/>\n-20, -12, -8, -1,\u00a0<strong>1<\/strong>, 5, 10, x, x -&gt; The other 2 numbers must be greater than 1, as the range can be 2 &lt; x, x being the number chosen<br \/>\nAnswer b .<br \/>\nOrder the numbers so that -3 is in the middle:<br \/>\nx, -20, -12, -8, (-3), -1, 1, 5, 10 -&gt; The other number must be less than -3, as the range is x &lt; &#8211; 3, x being the number chosen<\/p>\n<h3>Lesson 8.3 Rational Numbers<\/h3>\n<p><strong>EXPLORATION 1<\/strong><\/p>\n<p>Locating Fractions on a Number Line<br \/>\nWork with a partner. Represent the events on a number line using a fraction or a mixed number.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24932\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-1.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 1\" width=\"655\" height=\"588\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-1.png 655w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-1-300x269.png 300w\" sizes=\"(max-width: 655px) 100vw, 655px\" \/><br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-24933\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-2.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 2\" width=\"182\" height=\"73\" \/><\/p>\n<p>Integers, fractions, and decimals make up the set of rational numbers. A rational number is a number that can be written as a &#8211; b, where a and b are integers and b \u2260 0.<\/p>\n<p><strong>Try It<\/strong><\/p>\n<p><strong>Graph the number and its opposite.<\/strong><br \/>\nQuestion 1.<br \/>\n2\\(\\frac{1}{2}\\)<br \/>\nAnswer:<br \/>\n2 \u00d7 \\(\\frac{1}{2}\\) = \\(\\frac{2}{2}\\) = 1<br \/>\nThe opposite of 1 is -1<\/p>\n<p>Question 2.<br \/>\n&#8211;\\(\\frac{4}{5}\\)<br \/>\nAnswer:<br \/>\n&#8211;\\(\\frac{4}{5}\\)= &#8211; ( 4 \u00f7 5) = &#8211; 0.8<br \/>\nThe opposite of &#8211; 0.8 is 0.8<\/p>\n<p>Question 3.<br \/>\n&#8211; 3.5<br \/>\nAnswer:<br \/>\nThe opposite of &#8211; 3.5 is 3.5<\/p>\n<p>Question 4.<br \/>\n5.25<br \/>\nAnswer:<br \/>\nThe opposite of 5.25 is -5.25<\/p>\n<p><strong>Copy and complete the statement using &lt; or &gt;.<\/strong><br \/>\nQuestion 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24934\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-3.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 3\" width=\"83\" height=\"47\" \/><br \/>\nAnswer:<br \/>\n&#8211;\\(\\frac{4}{7}\\) = -0.57<br \/>\n&#8211;\\(\\frac{1}{7}\\)= -0.14<br \/>\n&#8211; 0.57\u00a0 \u00a0&lt;\u00a0 -0.14<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24935\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-4.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 4\" width=\"105\" height=\"48\" \/><br \/>\nAnswer:<br \/>\n&#8211;\\(\\frac{5}{3}\\) = -1.66<br \/>\n&#8211;\\(\\frac{11}{6}\\) = -1.83<br \/>\n-1.66 &gt; &#8211; 1.83<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24936\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-5.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 5\" width=\"92\" height=\"34\" \/><br \/>\nAnswer:<br \/>\n&#8211; 0.5\u00a0 &lt;\u00a0 0.3<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24937\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-6.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 6\" width=\"112\" height=\"36\" \/><br \/>\nAnswer:<br \/>\n-6.5\u00a0 &gt; &#8211; 6.75<\/p>\n<p><strong>Self-Assessment for Concepts &amp; Skills<\/strong><\/p>\n<p>Solve each exercise. Then rate your understanding of the success criteria in your journal.<br \/>\n<strong>COMPARING RATIONAL NUMBERS<\/strong> Copy and complete the statement using &lt; or &gt;.<br \/>\nQuestion 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24938\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-7.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 7\" width=\"85\" height=\"44\" \/><br \/>\nAnswer:<br \/>\n&#8211;\\(\\frac{2}{3}\\) = -0.66<br \/>\n&#8211;\\(\\frac{5}{9}\\) = -0.55<br \/>\n-0.66\u00a0 &lt; -0.55<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24939\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-8.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 8\" width=\"104\" height=\"45\" \/><br \/>\nAnswer:<br \/>\n&#8211;\\(\\frac{9}{4}\\)= &#8211; 2.25<br \/>\n&#8211;\\(\\frac{19}{8}\\)= -2.375<br \/>\n-2.25\u00a0 &gt;\u00a0 -2.375<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24940\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-9.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 9\" width=\"104\" height=\"31\" \/><br \/>\nAnswer:<br \/>\n-1.7\u00a0 \u00a0&gt;\u00a0 \u00a0-2.4<\/p>\n<p>Question 12.<br \/>\n<strong>NUMBER SENSE<\/strong><br \/>\nWhich statement is not true?<br \/>\nA. On a number line, \u22122\\(\\frac{1}{6}\\) is to the left of \u22122\\(\\frac{2}{3}\\).<br \/>\nB. \u22122 \\(\\frac{2}{3}\\) is less than \u22122\\(\\frac{1}{6}\\).<br \/>\nC. On a number line, \u22122\\(\\frac{2}{3}\\) is to the left of \u22122\\(\\frac{1}{6}\\).<br \/>\nAnswer A :<br \/>\n\u22122\\(\\frac{1}{6}\\) = \u2212\\(\\frac{1}{3}\\) = &#8211; 0.33<br \/>\n\u22122\\(\\frac{2}{3}\\) = \u2212\\(\\frac{4}{3}\\) = -1.33<br \/>\nExplanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34212\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Question-12-a.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Question-12-a\" width=\"617\" height=\"117\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Question-12-a.jpg 617w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Question-12-a-300x57.jpg 300w\" sizes=\"(max-width: 617px) 100vw, 617px\" \/><br \/>\nAnswer B :<br \/>\n\u22122 \\(\\frac{2}{3}\\) = \u2212 \\(\\frac{4}{3}\\) = -1.33<br \/>\n\u22122\\(\\frac{1}{6}\\) = \u2212\\(\\frac{1}{3}\\) = &#8211; 0.33<br \/>\n-1.33\u00a0 &lt;\u00a0 &#8211; 0.33<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater .Numbers to the right are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<\/p>\n<p>Answer C :<br \/>\n\u22122 \\(\\frac{2}{3}\\) = \u2212 \\(\\frac{4}{3}\\) = -1.33<br \/>\n\u22122\\(\\frac{1}{6}\\) = \u2212\\(\\frac{1}{3}\\) = &#8211; 0.33<br \/>\nFrom the above number line we notice that -1.33 is left of -0.33<\/p>\n<p>Question 13.<br \/>\n<strong>WRITING<\/strong><br \/>\nExplain how to determine whether a number is a rational number.<br \/>\nAnswer:<br \/>\nThe rational number which is represented in the \\(\\frac{p}{q}\\)form and where q is not equal to zero.<br \/>\nExamples :<br \/>\n\\(\\frac{2}{3}\\), \\(\\frac{7}{3}\\)<\/p>\n<p><strong>Self-Assessment for Problem Solving<\/strong><\/p>\n<p>Solve each exercise. Then rate your understanding of the success criteria in your journal.<br \/>\nQuestion 14.<br \/>\nYou and your friend rappel down a cliff. Your friend descends 0.11 mile and then waits for you to catch up. You descend and your current change in elevation is \u22120.12 mile. Have you reached your friend? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24941\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-10.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 10\" width=\"167\" height=\"228\" \/><br \/>\nAnswer:<br \/>\nDistance traveled by my friend = 0.11<\/p>\n<p>Question 15.<br \/>\nThe table shows the changes in the value of a stock over a period of three days. On which day does the value of the stock change the most? Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24942\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-11.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 11\" width=\"297\" height=\"63\" \/><br \/>\nAnswer:<br \/>\nChange in stock is most in day 3 that is &#8211; 0.45<br \/>\nExplanation:<br \/>\nOn day 1 the stock change is -0.42<br \/>\nOn day 2 there is no stock change that is 0<br \/>\nOn day 3 the stock change is -0.45<br \/>\nFrom 0 to -0.45 change is more<\/p>\n<h3>Rational Numbers Homework &amp; Practice 8.3<\/h3>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Copy and complete the statement using &lt; or &gt;.<\/strong><br \/>\nQuestion 1.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24943\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-12.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 12\" width=\"62\" height=\"36\" \/><br \/>\nAnswer:<br \/>\n5 &lt; 8<\/p>\n<p>Question 2.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24944\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-13.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 13\" width=\"81\" height=\"33\" \/><br \/>\nAnswer:<br \/>\n-4 &gt; -7<\/p>\n<p>Question 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24945\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-14.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 14\" width=\"74\" height=\"32\" \/><br \/>\nAnswer:<br \/>\n2 &gt; -5<\/p>\n<p>Question 4.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24946\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-15.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 15\" width=\"76\" height=\"30\" \/><br \/>\nAnswer:<br \/>\n0 &gt; -3<\/p>\n<p>Question 5.<br \/>\nYou pay $48 for 8 pounds of chicken. Which is an equivalent rate?<br \/>\nA. $44 for 4 pounds<br \/>\nB. $28 for 4 pounds<br \/>\nC. $15 for 3 pounds<br \/>\nD. $30 for 5 pounds<br \/>\nAnswer:<br \/>\n$30 for 5 pounds<br \/>\nExplanation:<br \/>\nYou pay $48 for 8 pounds of chicken.<br \/>\n$48 = 8 Pounds<br \/>\n$__ = 5 Ponds.<br \/>\nDo Cross Multiplication<br \/>\n(48 \u00d7 5)\u00f78 = 6\u00a0 \u00d7 5 = $30<\/p>\n<p><strong>Find the whole.<\/strong><br \/>\nQuestion 6.<br \/>\n40% of what number is 24?<br \/>\nAnswer:<br \/>\n40 % = 24<br \/>\n100 % = ?<br \/>\nThe answer is 60.<br \/>\nExplanation:<br \/>\nDo cross multiplication we get :<br \/>\n100 % \u00d7 24 = 40% \u00d7 ?<br \/>\n2400 \u00f7 40 = 60.<br \/>\nTherefore answer is 60.<\/p>\n<p>Question 7.<br \/>\n12% of what number is 9?<br \/>\nAnswer:<br \/>\n12 % = 9<br \/>\n100 % = ?<br \/>\nThe answer is 75.<br \/>\nExplanation:<br \/>\nDo cross multiplication we get :<br \/>\n100 % \u00d7 9 = 12% \u00d7 ?<br \/>\n900 \u00f7 12 = 75.<br \/>\nTherefore answer is 75.<br \/>\nQuestion 8.<br \/>\n48% of what number is 84?<br \/>\nAnswer:<br \/>\n48 % = 84<br \/>\n100 % = ?<br \/>\nThe answer is 175.<br \/>\nExplanation:<br \/>\nDo cross multiplication we get :<br \/>\n100 % \u00d7 84 = 48% \u00d7 ?<br \/>\n8400 \u00f7 48 = 175.<br \/>\nTherefore answer is 175.<\/p>\n<p>Question 9.<br \/>\n140% of what number is 98?<br \/>\nAnswer:<br \/>\n140 % = 98<br \/>\n100 % = ?<br \/>\nThe answer is 70.<br \/>\nExplanation:<br \/>\nDo cross multiplication we get :<br \/>\n100 % \u00d7 98 = 140% \u00d7 ?<br \/>\n9800 \u00f7 140 = 70.<br \/>\nTherefore answer is 70.<\/p>\n<p><strong>Multiply.<\/strong><br \/>\nQuestion 10<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24947\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-16.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 16\" width=\"57\" height=\"53\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34242\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Question-10.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Question-10\" width=\"66\" height=\"93\" \/><\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24948\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-17.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 17\" width=\"54\" height=\"52\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34243\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Question-11.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Question-11\" width=\"99\" height=\"146\" \/><br \/>\nQuestion 12.<br \/>\n3.7 \u00d7 4.854<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34244\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Question-12.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Question-12\" width=\"132\" height=\"193\" \/><\/p>\n<p>Question 13.<br \/>\n2.9 \u00d7 8.8609<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34245\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Question-13.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Question-13\" width=\"145\" height=\"235\" \/><\/p>\n<p><strong>Concepts, Skills, &amp;Problem Solving<\/strong><\/p>\n<p><strong>USING TOOLS<\/strong> Use a fraction or a mixed number to represent the time on a number line. Let 0 represent noon. (See Exploration 1, p. 357.)<br \/>\nQuestion 14.<br \/>\n8:30 A.M.<br \/>\nAnswer:<\/p>\n<p>Question 15.<br \/>\n12:15 P.M.<br \/>\nAnswer:<\/p>\n<p>Question 16.<br \/>\n3:12 P.M.<br \/>\nAnswer:<\/p>\n<p><strong>GRAPHING RATIONAL NUMBERS<\/strong><br \/>\nGraph the number and its opposite.<br \/>\nQuestion 17.<br \/>\n\\(\\frac{2}{3}\\)<br \/>\nAnswer:<br \/>\n\\(\\frac{2}{3}\\) = 0.6<br \/>\nThe opposite of 0.6 = &#8211; 0.6<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34553\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-17.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-17\" width=\"618\" height=\"191\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-17.jpg 618w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-17-300x93.jpg 300w\" sizes=\"(max-width: 618px) 100vw, 618px\" \/><br \/>\nExplanation :<br \/>\nFor any given\u00a0integer\u00a0&#8216;a&#8217;, the\u00a0opposite integer\u00a0is found at the same distance from 0 on the number line, but on the other side.<br \/>\nSo, the opposite integer of integer &#8216;0.6&#8217;, is &#8216;-0.6&#8217; on the number line, but on the other side of 0.<\/p>\n<p>Question 18.<br \/>\n&#8211; 4.3<br \/>\nAnswer:<br \/>\nThe opposite of -4.3 = 4.3<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34555\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-18.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-18\" width=\"626\" height=\"188\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-18.jpg 626w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-18-300x90.jpg 300w\" sizes=\"(max-width: 626px) 100vw, 626px\" \/><br \/>\nExplanation :<br \/>\nFor any given\u00a0integer\u00a0&#8216;a&#8217;, the\u00a0opposite integer\u00a0is found at the same distance from 0 on the number line, but on the other side.<br \/>\nSo, the opposite integer of integer &#8216;4.3&#8217;, is &#8216;-4.3&#8217; on the number line, but on the other side of 0.<\/p>\n<p>Question 19.<br \/>\n2.15<br \/>\nAnswer:<br \/>\nThe opposite of 2.15 = -2.15<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34556\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-19.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-19\" width=\"640\" height=\"194\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-19.jpg 640w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-19-300x91.jpg 300w\" sizes=\"(max-width: 640px) 100vw, 640px\" \/><br \/>\nExplanation :<br \/>\nFor any given\u00a0integer\u00a0&#8216;a&#8217;, the\u00a0opposite integer\u00a0is found at the same distance from 0 on the number line, but on the other side.<br \/>\nSo, the\u00a0opposite integer\u00a0of\u00a0integer &#8216;a&#8217;, is &#8216;-a&#8217; on the number line, but on the other side of 0.<\/p>\n<p>Question 20.<br \/>\n&#8211; \\(\\frac{3}{7}\\)<br \/>\nAnswer:<br \/>\n&#8211;\\(\\frac{3}{7}\\) = -0.4<br \/>\nThe opposite of -0.4 = 0.4<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34557\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-20.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-20\" width=\"671\" height=\"180\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-20.jpg 671w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-20-300x80.jpg 300w\" sizes=\"(max-width: 671px) 100vw, 671px\" \/><br \/>\nExplanation :<br \/>\nFor any given\u00a0integer\u00a0&#8216;a&#8217;, the\u00a0opposite integer\u00a0is found at the same distance from 0 on the number line, but on the other side.<br \/>\nSo, the opposite integer of integer &#8216;0.4&#8217;, is &#8216;-0.4&#8217; on the number line, but on the other side of 0.<\/p>\n<p>Question 21.<br \/>\n&#8211; 0.4<br \/>\nAnswer:<br \/>\nThe opposite of -0.4 = 0.4<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34558\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-20-1.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-20\" width=\"671\" height=\"180\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-20-1.jpg 671w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-20-1-300x80.jpg 300w\" sizes=\"(max-width: 671px) 100vw, 671px\" \/><br \/>\nExplanation :<br \/>\nFor any given\u00a0integer\u00a0&#8216;a&#8217;, the\u00a0opposite integer\u00a0is found at the same distance from 0 on the number line, but on the other side.<br \/>\nSo, the\u00a0opposite integer\u00a0of\u00a0integer &#8216;a&#8217;, is &#8216;-a&#8217; on the number line, but on the other side of 0.<\/p>\n<p>Question 22.<br \/>\n5\\(\\frac{1}{3}\\)<br \/>\nAnswer:<br \/>\n5\\(\\frac{1}{3}\\) = \\(\\frac{16}{3}\\)=5.3<br \/>\nThe opposite of 5.3 = -5.3<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34559\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-22.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-22\" width=\"694\" height=\"278\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-22.jpg 694w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-22-300x120.jpg 300w\" sizes=\"(max-width: 694px) 100vw, 694px\" \/><br \/>\nExplanation :<br \/>\nFor any given\u00a0integer\u00a0&#8216;a&#8217;, the\u00a0opposite integer\u00a0is found at the same distance from 0 on the number line, but on the other side.<br \/>\nSo, the opposite integer of integer &#8216;5.3&#8217;, is &#8216;-5.3&#8217; on the number line, but on the other side of 0.<\/p>\n<p>Question 23.<br \/>\n&#8211; 2\\(\\frac{1}{4}\\)<br \/>\nAnswer:<br \/>\n&#8211; 2\\(\\frac{1}{4}\\)=- \\(\\frac{9}{4}\\)=-2.25<br \/>\nThe opposite of -2.25 = 2.25<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34560\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-23.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-23\" width=\"694\" height=\"278\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-23.jpg 694w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-23-300x120.jpg 300w\" sizes=\"(max-width: 694px) 100vw, 694px\" \/><br \/>\nExplanation :<br \/>\nFor any given\u00a0integer\u00a0&#8216;a&#8217;, the\u00a0opposite integer\u00a0is found at the same distance from 0 on the number line, but on the other side.<br \/>\nSo, the\u00a0opposite integer\u00a0of\u00a0integer &#8216;a&#8217;, is &#8216;-a&#8217; on the number line, but on the other side of 0.<\/p>\n<p>Question 24.<br \/>\n-5 \\(\\frac{3}{10}\\)<br \/>\nAnswer:<br \/>\n-5 \\(\\frac{3}{10}\\) =- \\(\\frac{3}{2}\\) = -1.5<br \/>\nThe opposite of -1.5 = 1.5<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34561\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-24.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-24\" width=\"601\" height=\"203\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-24.jpg 601w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.3-Rational-Numbers-Graphing-Rational-Numbers-Question-24-300x101.jpg 300w\" sizes=\"(max-width: 601px) 100vw, 601px\" \/><br \/>\nExplanation :<br \/>\nFor any given\u00a0integer\u00a0&#8216;a&#8217;, the\u00a0opposite integer\u00a0is found at the same distance from 0 on the number line, but on the other side.<br \/>\nSo, the\u00a0opposite integer\u00a0of\u00a0integer &#8216;a&#8217;, is &#8216;-a&#8217; on the number line, but on the other side of 0.<\/p>\n<p><strong>COMPARING RATIONAL NUMBERS<\/strong> Copy and complete the statement using &lt; or &gt;.<br \/>\nQuestion 25.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24949\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-18.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 18\" width=\"104\" height=\"36\" \/><br \/>\nAnswer:<br \/>\n-3\\(\\frac{1}{3}\\)\u00a0 &gt;\u00a0 -3\\(\\frac{2}{3}\\)<\/p>\n<p>Question 26.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24950\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-19.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 19\" width=\"81\" height=\"45\" \/><br \/>\nAnswer:<br \/>\n&#8211;\\(\\frac{1}{2}\\) &lt; &#8211;\\(\\frac{1}{6}\\)<\/p>\n<p>Question 27.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24951\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-20.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 20\" width=\"80\" height=\"44\" \/><br \/>\nAnswer:<br \/>\n&#8211;\\(\\frac{3}{4}\\)\u00a0 \u00a0&lt; \\(\\frac{5}{8}\\)<\/p>\n<p>Question 28.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24952\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-21.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 21\" width=\"98\" height=\"42\" \/><br \/>\nAnswer:<br \/>\n-2\\(\\frac{2}{3}\\)\u00a0 &lt;\u00a0 -2\\(\\frac{1}{2}\\)<\/p>\n<p>Question 29.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24953\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-22.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 22\" width=\"105\" height=\"38\" \/><br \/>\nAnswer:<br \/>\n-1\\(\\frac{5}{6}\\)\u00a0 &lt;\u00a0 -1\\(\\frac{3}{4}\\)<\/p>\n<p>Question 30.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24954\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-23.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 23\" width=\"103\" height=\"31\" \/><br \/>\nAnswer:<br \/>\n-4.6\u00a0 &gt; &#8211; 4.8<\/p>\n<p>Question 31.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24955\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-24.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 24\" width=\"115\" height=\"31\" \/><br \/>\nAnswer:<br \/>\n-0.12\u00a0 &lt;\u00a0 -0.05<\/p>\n<p>Question 32.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24956\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-25.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 25\" width=\"111\" height=\"37\" \/><br \/>\nAnswer:<br \/>\n2.41\u00a0 &gt;\u00a0 -3.16<\/p>\n<p>Question 33.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24957\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-26.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 26\" width=\"135\" height=\"35\" \/><br \/>\nAnswer:<br \/>\n-3.524\u00a0 &gt;\u00a0 -3.542<\/p>\n<p><strong>ORDERING RATIONAL NUMBERS<\/strong> Order the numbers from least to greatest.<br \/>\nQuestion 34.<br \/>\n1.3, &#8211; 2, &#8211; 1.8, 0, &#8211; 1.75<br \/>\nAnswer:<br \/>\n-2, -1.8, -1.75, 0, 1.3<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<br \/>\nSo write the numbers which are bigger with negative symbol are smaller arrange all the negative numbers in this order and then follows 0 and positive numbers from least to greatest .<\/p>\n<p>Question 35.<br \/>\n&#8211; 4, &#8211; 4.35, &#8211; 4.9, &#8211; 5, &#8211; 4.3<br \/>\nAnswer:<br \/>\n-5, -4.9, -4.35, &#8211; 4.3 , -4<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<br \/>\nSo write the numbers which are bigger with negative symbol are smaller arrange all the negative numbers in this order and then follows 0 and positive numbers from least to greatest .<\/p>\n<p>Question 36.<br \/>\n1.6, 1.2, 0, 0.8, &#8211; 0.1<br \/>\nAnswer:<br \/>\n-0.1, 0, 0.8, 1.2, 1.6<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<br \/>\nSo write the numbers which are bigger with negative symbol are smaller arrange all the negative numbers in this order and then follows 0 and positive numbers from least to greatest .<\/p>\n<p>Question 37.<br \/>\n\\(-\\frac{1}{2}, \\frac{1}{8}, \\frac{3}{4},-1,-\\frac{1}{4}\\)<br \/>\nAnswer:<br \/>\n-0.5, 0.125, 0.75, -1, -0.25 above fractions in decimals points<br \/>\n-1, -0.5, -0.25, 0.125, 0.75<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<br \/>\nSo write the numbers which are bigger with negative symbol are smaller arrange all the negative numbers in this order and then follows 0 and positive numbers from least to greatest .<\/p>\n<p>Question 38.<br \/>\n\\(-2 \\frac{3}{10},-2 \\frac{2}{5},-2,-2 \\frac{1}{2},-3\\)<br \/>\nAnswer:<br \/>\n-2.3, -0.8, -2, -2.5, -3<br \/>\n-3, -2.5, -2.3, -2, -0.8<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<br \/>\nSo write the numbers which are bigger with negative symbol are smaller arrange all the negative numbers in this order and then follows 0 and positive numbers from least to greatest .<\/p>\n<p>Question 39.<br \/>\n\\(-\\frac{1}{20},-\\frac{5}{8}, 0,-1,-\\frac{3}{4}\\)<br \/>\nAnswer:<br \/>\n-0.05, -0.625, 0, -1, -0.75<br \/>\n-0.75, -0.625, -0.05, -1, 0<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<br \/>\nSo write the numbers which are bigger with negative symbol are smaller arrange all the negative numbers in this order and then follows 0 and positive numbers from least to greatest .<\/p>\n<p>Question 40.<br \/>\n<strong>MODELING REAL LIFE<\/strong><br \/>\nIn rough water, a small sand dollar burrows v centimeter into the sand. A larger sand dollar burrows -1 \\(\\frac{1}{4}\\) centimeters into the sand. Which sand dollar burrowed deeper?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24958\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-27.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 27\" width=\"234\" height=\"195\" \/><br \/>\nAnswer:<br \/>\nsmall sand dollar burrows = &#8211; \\(\\frac{1}{2}\\) = -0.5<br \/>\nLarger sand dollar burrows = -1 \\(\\frac{1}{4}\\) =- \\(\\frac{5}{4}\\) = -1.25cms<br \/>\nThe Larger sand dollar burrows deeper .<br \/>\nExplanation:<br \/>\nHere don&#8217;t consider the negative signs from ground level that is 0 it is Large sand dollar that is burrowed deeper.<\/p>\n<p>Question 41.<br \/>\n<strong>MODELING REAL LIFE<\/strong><br \/>\nTwo golfers calculate their average scores relative to par over several rounds of golf. Golfer A has an average score of \u22121\\(\\frac{1}{4}\\). Golfer B has an average score of \u22121\\(\\frac{3}{8}\\). Who has the lesser average score?<br \/>\nAnswer:<br \/>\nAverage score of Golfer A = \u22121\\(\\frac{1}{4}\\)=\u2212\\(\\frac{5}{4}\\)=\u22121.25<br \/>\nAverage score of Golfer B = \u22121\\(\\frac{3}{8}\\)= \u2212\\(\\frac{11}{8}\\)=\u22121.375<br \/>\nThe golfer B has lesser average score.<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<\/p>\n<p>Question 42.<br \/>\n<strong>MODELING REAL LIFE<\/strong><br \/>\nThe apparent magnitude of a star measures how bright the star appears as seen from Earth. The brighter the star, the lesser the number. Which star is the brightest?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24959\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-28.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 28\" width=\"546\" height=\"75\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-28.png 546w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-28-300x41.png 300w\" sizes=\"(max-width: 546px) 100vw, 546px\" \/><br \/>\nAnswer:<br \/>\nThe Deneb is the brightest star = 1.25 (positive number greatest number than all others )<br \/>\nSirius &lt; Canopus &lt; Alpha Centauri\u00a0 &lt; Antares &lt; Deneb<br \/>\n-1.46 &lt; -0.72 &lt; -0.27 &lt; 0.96 &lt; 1.25<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<br \/>\nSo write the numbers which are bigger with negative symbol are smaller arrange all the negative numbers in this order and then follows 0 and positive numbers from least to greatest .<\/p>\n<p>Question 43.<br \/>\n<strong>REPEATED REASONING<\/strong><br \/>\nThe daily water level relative to the pier is recorded for seven straight days at a tide station on the Big Marco River in Florida. On which days is the water level higher than on the previous day? On which days is it lower? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24960\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-29.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 29\" width=\"659\" height=\"176\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-29.png 659w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-29-300x80.png 300w\" sizes=\"(max-width: 659px) 100vw, 659px\" \/><br \/>\nAnswer:<br \/>\nThe water level on Sun =\u2212\\(\\frac{3}{25}\\) =\u22120.12<br \/>\nThe water level on Mon=\u2212\\(\\frac{7}{20}\\)= \u22120.35<br \/>\nThe water level on Tue= \u2212\\(\\frac{27}{50}\\) =\u22120.54<br \/>\nThe water level on Wed=\u2212\\(\\frac{13}{20}\\)=\u22120.65<br \/>\nThe water level on Thrus=\u2212\\(\\frac{16}{25}\\)=\u22120.64<br \/>\nThe water level on Fri=\u2212\\(\\frac{53}{100}\\)=\u22120.53<br \/>\nThe water level on Sat =\u2212\\(\\frac{1}{3}\\)=\u22120.33<br \/>\nExplanation:<br \/>\nOn Monday The water level is compared to previous day= &#8211; 0.12 &#8211; ( &#8211; 0.35 ) = 0.23<br \/>\nOn Tuesday The water level is compared to previous day=-0.35 &#8211; ( -0.54) = 0.19<br \/>\nOn Wednesday The water level is compared to previous day= -0.54 &#8211; ( &#8211; 0.65) =0.11<br \/>\nOn Thrusday The water level is compared to previous day= &#8211; 0.65 &#8211; ( &#8211; 0.64)=0.01<br \/>\nOn Friday The water level is compared to previous day= &#8211; 0.64 &#8211; ( &#8211; 0.53)=0.11<br \/>\nOn Saturday The water level is compared to previous day = &#8211; 0.53 &#8211; ( -0.33 )=0.20<br \/>\nOn Monday the water level is more compared to the previous day .<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<\/p>\n<p>Question 44.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA guitar tuner allows you to tune a guitar string to its correct pitch. The units on a tuner are measured in cents. The units tell you how far the string tone is above or below the correct pitch.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24961\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-30.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.3 30\" width=\"591\" height=\"257\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-30.png 591w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.3-30-300x130.png 300w\" sizes=\"(max-width: 591px) 100vw, 591px\" \/><br \/>\na. What number on the tuner represents a correctly tuned guitar string?<br \/>\nb. Which strings have a pitch below the correct pitch?<br \/>\nc. Which string has a pitch closest to its correct pitch?<br \/>\nd. Which string has a pitch farthest from its correct pitch?<br \/>\ne. The tuner is rated to be accurate to within 0.5 cent of the true pitch. Which string could possibly be correct? Explain your reasoning.<br \/>\nAnswer a :<br \/>\nThe Number on the tuner represents a correctly tuned guitar string = 0<br \/>\nAnswer b :<br \/>\nThe string below the correct pitch = 6<br \/>\nExplanation:<br \/>\nAs The string 6 is only -0.3 distance away from the correctly tuned guitar string other than strings.<br \/>\nAnswer c :<br \/>\nA pitch closest to its correct pitch = 6<br \/>\nExplanation:<br \/>\nAs The string 6 is only -0.3 distance away from the correctly tuned guitar string other than strings. which is the least distance between them.<br \/>\nAnswer d :<br \/>\nString which is pitch farthest from its correct pitch is 1.<br \/>\nExplanation:<br \/>\nAs The string 1 is only -3.6 distance away from the correctly tuned guitar string other than strings. which is the Farthest distance between them.<br \/>\nAnswer e :<br \/>\nNo string tuner is rated to be accurate to within 0.5 cent of the true pitch<br \/>\nExplanation:<br \/>\nCorrect tuner is at 0<br \/>\n0.5 cent of the true pitch = 0<br \/>\nWhich is not possible<\/p>\n<p>Question 45.<br \/>\n<strong>NUMBER SENSE<\/strong><br \/>\nWhat integer values of x make the statement \u2212 \\(\\frac{3}{x}\\) &lt; \u2212 \\(\\frac{x}{3}\\) true?<br \/>\nAnswer:<br \/>\n\u2212 \\(\\frac{3}{x}\\) &lt; \u2212 \\(\\frac{x}{3}\\)<br \/>\nX\u00a0 should be more than 3 .<br \/>\nif x is in the numerator in the fraction form it resultant will be more when divided by 3<br \/>\nIf x is in the denominator in the fraction form it resultant will be less when 3 is divided by x<br \/>\nExplanation:<br \/>\nFor example: take x = 4<br \/>\n\u2212 \\(\\frac{3}{4}\\) =\u22120.75<br \/>\n\u2212 \\(\\frac{4}{3}\\) = \u22121.33<br \/>\n\u22120.75 &lt; \u22121.33<\/p>\n<h3>Lesson 8.4 Absolute Value<\/h3>\n<p><strong>EXPLORATION 1<\/strong><br \/>\nComparing Positions of Objects<br \/>\nWork with a partner. The diagram shows the positions of several objects.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24962\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-1.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.4 1\" width=\"663\" height=\"507\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-1.png 663w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-1-300x229.png 300w\" sizes=\"(max-width: 663px) 100vw, 663px\" \/><br \/>\na. What integer represents sea level? How can you compare the positions of objects relative to sea level?<br \/>\nAnswer:<br \/>\nAn integer represents sea level = 0<br \/>\nYou can compare the positions of objects relative to sea levels by number of meters above and below as given in the above figure.<\/p>\n<p>b. Which pairs of objects are the same distance from sea level? How do you know?<br \/>\nAnswer:<br \/>\nWhale and sea plane<br \/>\nExplanation:<br \/>\nWhale and sea plane are at -1000 and 1000 meters below and above respectively from sea level.<br \/>\nBoth are at equidistant from the sea level.<\/p>\n<p>c. The vesselsKaiko, Alvin, and Jason Jr.move to be the same distance from sea level as the Boeing 747. About how many meters did each vessel travel?<br \/>\nAnswer:<br \/>\nDistance of Boeing 747 from sea level = 5000 metres.<br \/>\nDistance of\u00a0 Kaiko below sea level = &#8211; 7000 metres<br \/>\nDistance of\u00a0 Alvin below sea level = -4500 metres<br \/>\nDistance of\u00a0 Janson Jr.below sea level = 4000 metres<br \/>\nExplanation:<br \/>\nTo travel same distance as Boeing 747 the Kaiko should travel + 2000 metres towards the sea level so that it comes at 5000 metres below sea level.<br \/>\nTo travel same distance as Boeing 747 the Alvin should travel &#8211; 500 metres below the sea level so that it comes at 5000 metres below sea level.<br \/>\nTo travel same distance as Boeing 747 the Janson Jr should travel -1000 metres below the sea level so that it comes at 5000 metres below sealevel.<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-24963\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-2.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.4 2\" width=\"189\" height=\"67\" \/><\/p>\n<p><strong>Try It<\/strong><\/p>\n<p><strong>Find the absolute value.<\/strong><br \/>\nQuestion 1.<br \/>\n|8|<br \/>\nAnswer:<br \/>\n|8| = 8<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x .<br \/>\nThe\u00a0absolute value\u00a0of a number is its real distance from zero on a number line; therefore, we need to calculate how many spaces the number is tot he left of zero on a number line. This number is a distance from zero and will not be negative. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 2.<br \/>\n|-6|<br \/>\nAnswer:<br \/>\n|-6| = 6<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x .<br \/>\nThe\u00a0absolute value\u00a0of a number is its real distance from zero on a number line; therefore, we need to calculate how many spaces the number is tot he left of zero on a number line. This number is a distance from zero and will not be negative. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 3.<br \/>\n|0|<br \/>\nAnswer:<br \/>\n|0| = 0<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x .<br \/>\nThe\u00a0absolute value\u00a0of a number is its real distance from zero on a number line; therefore, we need to calculate how many spaces the number is tot he left of zero on a number line. This number is a distance from zero and will not be negative. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 4.<br \/>\n\\(\\left| \\frac { 1 }{ 4 } \\right| \\)<br \/>\nAnswer:<br \/>\n\\(\\left| \\frac { 1 }{ 4 } \\right| \\) = 0.25<br \/>\n|0.25| = 0.25<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x .<br \/>\nThe\u00a0absolute value\u00a0of a number is its real distance from zero on a number line; therefore, we need to calculate how many spaces the number is tot he left of zero on a number line. This number is a distance from zero and will not be negative. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 5.<br \/>\n\\(\\left|-7 \\frac{1}{3}\\right|\\)<br \/>\nAnswer:<br \/>\n\\(\\left|-7 \\frac{1}{3}\\right|\\) = &#8211; 7.33<br \/>\n|-7.33|=7.33<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x .<br \/>\nThe\u00a0absolute value\u00a0of a number is its real distance from zero on a number line; therefore, we need to calculate how many spaces the number is tot he left of zero on a number line. This number is a distance from zero and will not be negative. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 6.<br \/>\n|- 12.9|<br \/>\nAnswer:<br \/>\n|- 12.9| = 12.9<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x .<br \/>\nThe\u00a0absolute value\u00a0of a number is its real distance from zero on a number line; therefore, we need to calculate how many spaces the number is tot he left of zero on a number line. This number is a distance from zero and will not be negative. All\u00a0absolute values\u00a0are positive.<\/p>\n<p><strong>Copy and complete the statement using &lt;, &gt;, or =.<\/strong><\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24964\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-3.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.4 3\" width=\"102\" height=\"29\" \/><br \/>\nAnswer:<br \/>\n|-4|=4<br \/>\n4 &gt; -2<br \/>\nExplanation:<br \/>\nAll positive integers are greater than negative integers.<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x .<\/p>\n<p>Question 8.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24965\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-4.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.4 4\" width=\"81\" height=\"28\" \/><br \/>\nAnswer:<br \/>\n|5| = 5<br \/>\n-5 &lt; 5<br \/>\nExplanation:<br \/>\nAll positive integers are greater than negative integers<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x .<\/p>\n<p>Question 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24966\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-5.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.4 5\" width=\"86\" height=\"34\" \/><br \/>\nAnswer:<br \/>\n|9|=9<br \/>\n9 &lt; 10<br \/>\nExplanation:<br \/>\nAll positive integers are greater than negative integers.<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x .<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24967\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-6.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.4 6\" width=\"115\" height=\"40\" \/><br \/>\nAnswer:<br \/>\n|-3.9| = 3.9<br \/>\n3.9 = 3.9<br \/>\nExplanation:<br \/>\nBoth the integers are same so equal.<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x .<\/p>\n<p><strong>Self-Assessment for Concepts &amp; Skills<\/strong><\/p>\n<p>Solve each exercise. Then rate your understanding of the success criteria in your journal.<br \/>\n<strong>COMPARING VALUES<\/strong> Copy and complete the statement using &lt;, &gt;, or =.<br \/>\nQuestion 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24968\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-7.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.4 7\" width=\"96\" height=\"36\" \/><br \/>\nAnswer:<br \/>\n|-6| = 6<br \/>\n6 &gt; 3<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x .<\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24969\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-8.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.4 8\" width=\"104\" height=\"42\" \/><br \/>\nAnswer:<br \/>\n|-3.5| = 3.5<br \/>\n3.5 &lt; 4<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x .<\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24970\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-9.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.4 9\" width=\"103\" height=\"46\" \/><br \/>\nAnswer:<br \/>\n3\\(\\frac{1}{2}\\) = \\(\\frac{5}{2}\\)=2.5<br \/>\n-4\\(\\frac{3}{4}\\)=-\\(\\frac{19}{4}\\) = &#8211; 4.75<br \/>\n|-4.75|= 4.75<br \/>\n2.5 &gt; 4.75<br \/>\nExplanation:<br \/>\nConvert the fraction form into decimals form . later write absolute values and compare the values. The absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x .<\/p>\n<p>Question 14.<br \/>\n<strong>DIFFERENT WORDS, SAME QUESTION<\/strong><br \/>\nWhich is different? Find \u201cboth\u201d answers.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24971\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-10.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.4 10\" width=\"286\" height=\"140\" \/><br \/>\nAnswer:<br \/>\nWhat is the absolute value of &#8211; 3.<br \/>\nWhat integer is 3 units to the left of 0<br \/>\nExplanation:<br \/>\nRest of the two statements describe the distance between -3 to 0.<\/p>\n<p>Question 15.<br \/>\nDescribe the position of an object in your classroom using a negative rational number. Then describe the position of a second object using a positive rational number. Which number has a greater absolute value? What does this mean?<br \/>\nAnswer:<br \/>\nThe position of my pen is -6 cms from my bench.<br \/>\nThe position of my books is +3 cms from my bench.<br \/>\nThe absolute value of -6 = 6<br \/>\nThe absolute value of 3 = 3<br \/>\n6 &gt; 3<br \/>\nExplanation:<br \/>\nExplanation:<br \/>\nThe absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x . All absolute values are positive.<\/p>\n<p>Question 16.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nThe table shows the elevations of several checkpoints along a hiking trail.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24972\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-11.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.4 11\" width=\"594\" height=\"227\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-11.png 594w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-11-300x115.png 300w\" sizes=\"(max-width: 594px) 100vw, 594px\" \/><br \/>\na. Which checkpoint is farthest from sea level?<br \/>\nb. Which checkpoint is closest to sea level?<br \/>\nc. Between which checkpoints do you reach sea level? Explain your reasoning.<br \/>\nAnswer a :<br \/>\nThe Farthest checkpoint from sea level = 5<br \/>\nExplanation:<br \/>\nIt is -142 in elevation feet<br \/>\nAnswer b :<br \/>\nThe closest checkpoint from sea level = 4<br \/>\nExplanation:<br \/>\nIt is 12 in elevation feet<br \/>\nAnswer c :<br \/>\nNo we cant .<br \/>\nExplanation:<br \/>\nSea level = 0<br \/>\nWe need to get 0 between two check points then the check points reach sea level.<br \/>\nElevation feet between 1 and 2 check points = 110 &#8211; 38 = 72<br \/>\nElevation feet between 2 and 3 check points = 38 &#8211; (-24) = 72<br \/>\nElevation feet between 3 and 4 check points = &#8211; 24 -12 = -36<br \/>\nElevation feet between 4 and 5 check points =12 &#8211; (-142) = 154<\/p>\n<h3>Absolute Value Homework &amp; Practice 8.4<\/h3>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Order the numbers from least to greatest.<\/strong><br \/>\nQuestion 1.<br \/>\n2.4, &#8211; 3.2, &#8211; 1.8, 0.6, &#8211; 1.3<br \/>\nAnswer:<br \/>\n-3.2 &lt; -1.8 &lt; -1.3&lt;0.6&lt;2.4<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater .Numbers to the right are greater. With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<\/p>\n<p>Question 2.<br \/>\n&#8211; 0.3, 0.7, &#8211; 1.5, 0, 2.2<br \/>\nAnswer:<br \/>\n-1.5&lt; -0.3&lt;0&lt;0.7&lt;2.2<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater .Numbers to the right are greater .With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{3}{4}, \\frac{1}{2}, \\frac{2}{3}, 2, \\frac{1}{4}\\)<br \/>\nAnswer:<br \/>\n0.75, 0.5, 0.6, 2,0.25<br \/>\nAll the above fractions are represented in decimals now compare<br \/>\n0.25&lt;0.5&lt;0.6&lt;0.75&lt;2<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater .Numbers to the right are greater .With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<\/p>\n<p>Question 4.<br \/>\n\\(\\frac{1}{5}, 1 \\frac{2}{5},-2 \\frac{3}{4}, \\frac{4}{5},-2 \\frac{1}{2}\\)<br \/>\nAnswer:<br \/>\n0.2, 1.4, -2.75, 0.8, -2.5<br \/>\nAll the above fractions are represented in decimals now compare<br \/>\n-2.75&lt;-2.5&lt;0.2&lt;0.8&lt;1.4<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater .Numbers to the right are greater .With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<\/p>\n<p><strong>Represent the ratio relationship using a graph.<\/strong><br \/>\nQuestion 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24973\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-12.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.4 12\" width=\"174\" height=\"65\" \/><br \/>\nAnswer:<br \/>\nSlope = 0<br \/>\nY-intercept : (0 , 9\/5)<br \/>\nPlot each graph on the same coordinate system.<br \/>\n9\/5, 18\/10 , 27\/15.<span id=\"MathJax-Element-81-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 18.08px; letter-spacing: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px;\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;mfrac&gt;&lt;mrow&gt;&lt;mn&gt;27&lt;\/mn&gt;&lt;\/mrow&gt;&lt;mrow&gt;&lt;mn&gt;15&lt;\/mn&gt;&lt;\/mrow&gt;&lt;\/mfrac&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\"><span id=\"MJXc-Node-721\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-722\" class=\"mjx-mrow\"><span id=\"MJXc-Node-723\" class=\"mjx-mstyle\"><span id=\"MJXc-Node-724\" class=\"mjx-mrow\"><span id=\"MJXc-Node-725\" class=\"mjx-mfrac\"><span id=\"MJXc-Node-728\" class=\"mjx-mrow\"><span id=\"MJXc-Node-729\" class=\"mjx-mn\"><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-38600\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Absolute-Value-Homework-Practice-8.4-Question-5.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Absolute-Value-Homework-Practice-8.4-Question-5\" width=\"1032\" height=\"509\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Absolute-Value-Homework-Practice-8.4-Question-5.jpg 1032w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Absolute-Value-Homework-Practice-8.4-Question-5-300x148.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Absolute-Value-Homework-Practice-8.4-Question-5-1024x505.jpg 1024w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Absolute-Value-Homework-Practice-8.4-Question-5-768x379.jpg 768w\" sizes=\"(max-width: 1032px) 100vw, 1032px\" \/><br \/>\nQuestion 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24974\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-13.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.4 13\" width=\"232\" height=\"71\" \/><br \/>\nAnswer:<br \/>\nSlope = 0<br \/>\nY-intercept : (0 , 7\/3)<br \/>\nPlot each graph on the same coordinate system.<br \/>\n7\/3 , 14\/6, 21\/9 .<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-38601\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Absolute-Value-Homework-Practice-8.4-Question-6.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Absolute-Value-Homework-Practice-8.4-Question-6\" width=\"845\" height=\"540\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Absolute-Value-Homework-Practice-8.4-Question-6.jpg 845w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Absolute-Value-Homework-Practice-8.4-Question-6-300x192.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Absolute-Value-Homework-Practice-8.4-Question-6-768x491.jpg 768w\" sizes=\"(max-width: 845px) 100vw, 845px\" \/><\/p>\n<p><strong>Evaluate the expression when a = 2, b = 5, and c = 8.<\/strong><br \/>\nQuestion 7.<br \/>\n5 + c<br \/>\nAnswer:<br \/>\n5 + c =<br \/>\nTake c = 8<br \/>\n5 + 8 = 13<\/p>\n<p>Question 8.<br \/>\nb &#8211; 4<br \/>\nAnswer:<br \/>\ntake b=5<br \/>\n5 &#8211; 4 = 1<\/p>\n<p>Question 9.<br \/>\n\\(\\frac{c}{a}\\)<br \/>\nAnswer:<br \/>\ntake a =2 and c= 8<br \/>\n\\(\\frac{8}{2}\\) = 4<\/p>\n<p>Question 10.<br \/>\nb * c<br \/>\nAnswer:<br \/>\ntake b = 5 and c = 8<br \/>\n5 \u00d7 8 = 40<\/p>\n<p><strong>Concepts, Skills, &amp;Problem Solving<\/strong><\/p>\n<p><strong>COMPARING POSITIONS OF OBJECTS<\/strong> Tell which object is farther from sea level. Explain your reasoning. (See Exploration 1, p. 363.)<\/p>\n<p>Question 11.<br \/>\nScuba diver: \u221215 m<br \/>\nDolphin: \u221222 m<br \/>\nAnswer:<br \/>\nThe Dolphin = &#8211; 22m is farther from sea level<br \/>\nExplanation:<br \/>\nDistance cant be negative so just consider the value and compare the distance which is greater.<br \/>\n15 &lt; 22<\/p>\n<p>Question 12.<br \/>\nSeagull: 12 m<br \/>\nSchool of fish: \u22124 m<br \/>\nAnswer:<br \/>\nSeagull = 12m is farther from sea level<br \/>\nExplanation:<br \/>\nDistance cant be negative so just consider the value and compare the distance which is greater.<br \/>\n12 &gt; 4<\/p>\n<p>Question 13.<br \/>\nShark:\u221240 m<br \/>\nFlag on a ship: 32 m<br \/>\nAnswer:<br \/>\nExplanation:<br \/>\nShark = &#8211; 40 m<br \/>\nDistance cant be negative so just consider the value and compare the distance which is greater.<br \/>\n40 &gt; 32<\/p>\n<p><strong>FINDING ABSOLUTE VALUE<\/strong> Find the absolute value.<br \/>\nQuestion 14.<br \/>\n|- 2|<br \/>\nAnswer:<br \/>\n|- 2| = 2<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 15.<br \/>\n|23|<br \/>\nAnswer:<br \/>\n|23|=23<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 16.<br \/>\n|11|<br \/>\nAnswer:<br \/>\n|11|=11<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 17.<br \/>\n|- 68|<br \/>\nAnswer:<br \/>\n|-68|=68<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 18.<br \/>\n|- 8.35|<br \/>\nAnswer:<br \/>\n|-8.35|=8.35<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 19.<br \/>\n\\(\\left|\\frac{1}{6}\\right|\\)<br \/>\nAnswer:<br \/>\n\\(\\left|\\frac{1}{6}\\right|\\) = |0.16|=0.16<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 20.<br \/>\n|14.06|<br \/>\nAnswer:<br \/>\n|14.06|=14.06<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 21.<br \/>\n\\(\\left|-\\frac{5}{8}\\right|\\)<br \/>\nAnswer:<br \/>\n\\(\\left|-\\frac{5}{8}\\right|\\)= |-0.625| = 0.625<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 22.<br \/>\n\\(\\left|-3 \\frac{2}{5}\\right|\\)<br \/>\nAnswer:<br \/>\n\\(\\left|-3 \\frac{2}{5}\\right|\\) = |-3.4|= 3.4<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 23.<br \/>\n|1.026|<br \/>\nAnswer:<br \/>\n|1.026|=1.026<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 24.<br \/>\n\\(\\left|1 \\frac{1}{3}\\right|\\)<br \/>\nAnswer:<br \/>\n\\(\\left|1 \\frac{1}{3}\\right|\\)= \\(\\left| \\frac{4}{3}\\right|\\) =|1.3| = 1.3<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 25.<br \/>\n|- 6.308|<br \/>\nAnswer:<br \/>\n|-6.308|=6.308<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 26.<br \/>\n<strong>REASONING<\/strong><br \/>\nWrite two integers that have an absolute value of 10.<br \/>\nAnswer:<br \/>\n&#8211; 10 and 10<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 27.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend finds the absolute value of 14. Is your friend correct? Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24975\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-14.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.4 14\" width=\"129\" height=\"62\" \/><br \/>\nAnswer:<br \/>\nWrong<br \/>\nAll absolute values are positive.<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p><strong>COMPARING VALUES<\/strong> Copy and complete the statement using &lt;, &gt;, or =.<br \/>\nQuestion 28.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24976\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-15.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.4 15\" width=\"84\" height=\"33\" \/><br \/>\nAnswer:<br \/>\n|-8| = 8<br \/>\n6 &lt; 8<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 29.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24977\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-16.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.4 16\" width=\"93\" height=\"33\" \/><br \/>\nAnswer:<br \/>\n|-3|= 3<br \/>\n3 = 3<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 30.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24978\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-17.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.4 17\" width=\"108\" height=\"35\" \/><br \/>\nAnswer:<br \/>\n|-4.3| = 4.3<br \/>\n4.3 &gt; 3.4<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 31.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24979\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-18.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.4 18\" width=\"93\" height=\"41\" \/><br \/>\nAnswer:<br \/>\n&#8211;\\(\\frac{2}{9}\\)= -0.22<br \/>\n\\(\\frac{1}{5}\\)= 0.2<br \/>\n|-0.22|=0.22<br \/>\n0.22&gt;0.2<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 32.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24980\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-19.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.4 19\" width=\"108\" height=\"38\" \/><br \/>\nAnswer:<br \/>\n|-0.05|= 0.05<br \/>\n0.05 &gt; 0<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 33.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24981\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-20.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.4 20\" width=\"139\" height=\"42\" \/><br \/>\nAnswer:<br \/>\n|-5.5|= 5.5<br \/>\n|-3.1| = 3.1<br \/>\n5.5 &gt; 3.1<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 34.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24982\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-21.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.4 21\" width=\"93\" height=\"47\" \/><br \/>\nAnswer:<br \/>\n\\(\\frac{3}{4}\\) = 0.75<br \/>\n&#8211;\\(\\frac{2}{5}\\)= &#8211; 0.4<br \/>\n|-0.4| = 0.4<br \/>\n0.75 &gt; 0.4<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 35.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24983\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-22.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.4 22\" width=\"135\" height=\"39\" \/><br \/>\nAnswer:<br \/>\n|-6.8|=6.8<br \/>\n|8.25|=8.25<br \/>\n6.8 &lt; 8.25<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 36.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24984\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-23.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.4 23\" width=\"105\" height=\"37\" \/><br \/>\nAnswer:<br \/>\n|12| = 12<br \/>\n&#8211; 12 &lt; 12<br \/>\nExplanation:<br \/>\nAll positive integers are greater than negative integers<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 37.<br \/>\n<strong>MODELING REAL LIFE<\/strong><br \/>\nThe table shows the change in the balance of a bank account after each of three transactions. Which transaction has the greatest effect on the balance of the account? Which transaction has the least effect on the balance of the account?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24985\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-24.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.4 24\" width=\"221\" height=\"115\" \/><br \/>\nAnswer:<br \/>\nTransaction has the greatest effect on the balance of the account = 3<br \/>\nTransaction which has the least effect on the balance of the account = 1<\/p>\n<p><strong>ORDERING VALUES<\/strong> Order the values from least to greatest.<br \/>\nQuestion 38.<br \/>\n5, 0, |- 1|, |4| , &#8211; 2<br \/>\nAnswer:<br \/>\n|- 1| = 1<br \/>\n|4| = 4<br \/>\n-2&lt;0&lt;1&lt;4&lt;5<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.The Negative Numbers which are near to the 0 are greater .Numbers to the right are greater .With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<\/p>\n<p>Question 39.<br \/>\n|- 3|, |5| , &#8211; 3, &#8211; 4, |- 4|<br \/>\nAnswer:<br \/>\n|- 3| = 3<br \/>\n|5| = 5<br \/>\n|- 4|=4<br \/>\n-4&lt; -3&lt; 3 &lt; 4 &lt; 5<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.The Negative Numbers which are near to the 0 are greater .Numbers to the right are greater .With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<\/p>\n<p>Question 40.<br \/>\n10, |- 6|, 9, |3|, -11, 0<br \/>\nAnswer:<br \/>\n|- 6| = 6<br \/>\n|3| = 3<br \/>\n-11&lt;0&lt;3&lt;6&lt;9&lt;10<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<br \/>\nThe Negative Numbers which are near to the 0 are greater .Numbers to the right are greater .With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<\/p>\n<p>Question 41.<br \/>\n&#8211; 18, |30|, &#8211; 19, |- 22|, &#8211; 20, |- 18|<br \/>\nAnswer:<br \/>\n|30| = 30<br \/>\n|- 22| = 22<br \/>\n|- 18|=18<br \/>\n-20 &lt; -19&lt; &#8211; 18 &lt;18&lt;22&lt;30<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<br \/>\nThe Negative Numbers which are near to the 0 are greater .Numbers to the right are greater .With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<\/p>\n<p><strong>SIMPLIFYING EXPRESSIONS<\/strong> Simplify the expression.<br \/>\nQuestion 42.<br \/>\n&#8211; |2|<br \/>\nAnswer:<br \/>\n&#8211; |2| = &#8211; 2<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 43.<br \/>\n&#8211; |6|<br \/>\nAnswer:<br \/>\n-|6| = -6<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive..<\/p>\n<p>Question 44.<br \/>\n&#8211; |- 1|<br \/>\nAnswer:<br \/>\n|1| = 1<br \/>\n-1<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 45.<br \/>\n<strong>REASONING<\/strong><br \/>\nThe coldest possible temperature is called absolute zero. It is represented by 0 K on the Kelvin temperature scale.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24986\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.4-25.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.4 25\" width=\"274\" height=\"292\" \/><br \/>\na. Which temperature is closer to 0 K: 32\u00b0F or \u2212 50\u00b0C?<br \/>\nAnswer:<br \/>\nAs per the given we notice is 32\u00b0F<\/p>\n<p>b. What do absolute values and temperatures on the Kelvin scale have in common?<br \/>\nAnswer:<br \/>\nAll the temperatures and absolute values are positive in kelvin scale.<\/p>\n<p><strong>CRITICAL THINKING<\/strong><br \/>\nTell whether the statement is always, sometimes, or never true. Explain.<br \/>\nQuestion 46.<br \/>\nThe absolute value of a number is greater than the number.<br \/>\nAnswer:<br \/>\nFalse<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 47.<br \/>\nThe absolute value of a negative number is positive.<br \/>\nAnswer:<br \/>\nTrue<br \/>\nExplanation:<br \/>\nAll absolute values are positive.<br \/>\nThe absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x.<\/p>\n<p>Question 48.<br \/>\nThe absolute value of a positive number is its opposite.<br \/>\nAnswer:<br \/>\nFalse<br \/>\nExplanation:<br \/>\nOpposite value of a positive number is negative. but all absolute values are positive so the given statement is wrong .<\/p>\n<p><strong>MATCHING<\/strong> Match the account balance with the debt that it represents. Explain your reasoning.<br \/>\nQuestion 49.<br \/>\naccount balance = \u2212$25<br \/>\nAnswer: B. debt = $25<\/p>\n<p>Question 50.<br \/>\naccount balance &lt; \u2212$25<br \/>\nAnswer: C. debt &lt; $25<\/p>\n<p>Question 51.<br \/>\naccount balance &gt; \u2212$25<br \/>\nAnswer: A. debt &gt; $25<\/p>\n<p>A. debt &gt; $25<br \/>\nB. debt = $25<br \/>\nC. debt &lt; $25<\/p>\n<p>Question 52.<br \/>\n<strong>PATTERNS<\/strong><br \/>\nA palindrome is a word or sentence that reads the same forward as it does backward.<br \/>\na. Graph and label the following points on a number line: A =\u2212 2, C =\u2212 1, E = 0, R =\u2212 3. Then, using the same letters as the original points, graph and label the absolute value of each point on the same number line.<br \/>\nb. What word do the letters spell? Is this a palindrome?<br \/>\nc. Assign letters to points on a number line to make up your own palindrome using the process in part(a).<br \/>\nAnswer a :<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34568\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Absolute-Value-Homework-Practice-8.4-Question-52-a.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Absolute-Value-Homework-&amp;-Practice-8.4-Question-52-a\" width=\"694\" height=\"278\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Absolute-Value-Homework-Practice-8.4-Question-52-a.jpg 694w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Absolute-Value-Homework-Practice-8.4-Question-52-a-300x120.jpg 300w\" sizes=\"(max-width: 694px) 100vw, 694px\" \/><br \/>\nAnswer b :<br \/>\nLetters spell &#8211; RACE and ECAR\u00a0 Yes, it is a palindrome .<\/p>\n<p>Answer c:<br \/>\nIt is shown in the above diagram .<\/p>\n<p>Question 53.<br \/>\n<strong>CRITICAL THINKING<\/strong><br \/>\nFind values of x and y so that |x| &lt; |y| and x &gt; y.<br \/>\nAnswer:<\/p>\n<h3>Lesson 8.5 The Coordinate Plane<\/h3>\n<p>Extending the Coordinate Plane<br \/>\nWork with a partner. Previously, you plotted points with positive coordinates in a coordinate plane like the one shown at the right.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24988\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-1.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.5 1\" width=\"184\" height=\"183\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-1.png 184w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-1-150x150.png 150w\" sizes=\"(max-width: 184px) 100vw, 184px\" \/><br \/>\na. You can also plot points in which one or both of the coordinates are negative numbers. Create ordered pairs with different combinations of positive and negative coordinates, as described below. Then plot the ordered pairs and explain how you extended the coordinate plane shown.<br \/>\n(positive, positive) (negative, positive)<br \/>\n(negative, negative) (positive, negative)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34683\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-EXPLORATION-1-a.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson 8.5-The-Coordinate-Plane-EXPLORATION-1-a\" width=\"416\" height=\"404\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-EXPLORATION-1-a.jpg 416w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-EXPLORATION-1-a-300x291.jpg 300w\" sizes=\"(max-width: 416px) 100vw, 416px\" \/><br \/>\nb. How many regions of the coordinate plane are created by the x-axis and y-axis? What do the points in each of these regions have in common?<br \/>\nAnswer:<br \/>\nThe four regions are covered with one point .<br \/>\nThe numbers on a\u00a0coordinate\u00a0grid are used to locate points. Each point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<br \/>\nc. The photo shows the reflection, or mirror image, of a mountain in a lake. When you fold the photo on its axis, the mountain and its reflection align.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24989\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-2.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.5 2\" width=\"548\" height=\"154\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-2.png 548w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-2-300x84.png 300w\" sizes=\"(max-width: 548px) 100vw, 548px\" \/><br \/>\nc. Actual A mountainoAxisAMath PracticeRe\ufb02ectionReof mountain Check ProgressHow can you check your progress to make sure you are reflecting your point correctly?<br \/>\nPlot a point and its reflection in one of the axes. Explain your reasoning. What do you notice about the coordinates of the points?<br \/>\nAnswer:<br \/>\nAs per the above image we notice that the axis is equal to the axis of the graph . the graph is divided into 4 Quadrants as shown in below graph.<br \/>\nA\u00a0coordinate plane\u00a0is a two-dimensional\u00a0plane\u00a0formed by the intersection of a vertical line called y-axis and a horizontal line called x-axis. These are perpendicular lines that intersect each other at zero, and this point is called the origin.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34685\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-EXPLORATION-1-c.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson 8.5-The-Coordinate-Plane-EXPLORATION-1-c\" width=\"416\" height=\"408\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-EXPLORATION-1-c.jpg 416w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-EXPLORATION-1-c-300x294.jpg 300w\" sizes=\"(max-width: 416px) 100vw, 416px\" \/><br \/>\nAs the reflection is formed in fourth quadrant an example of reflection is marked in the above graph .<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-24990\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-3.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.5 3\" width=\"181\" height=\"111\" \/><\/p>\n<p><strong>Try It<\/strong><\/p>\n<p><strong>Use the graph in Example 1 to write an ordered pair corresponding to the point.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34686\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-EXPLORATION-1-a-1.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson 8.5-The-Coordinate-Plane-EXPLORATION-1-a\" width=\"416\" height=\"404\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-EXPLORATION-1-a-1.jpg 416w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-EXPLORATION-1-a-1-300x291.jpg 300w\" sizes=\"(max-width: 416px) 100vw, 416px\" \/><br \/>\nAs shown in example one the points are mentioned below<br \/>\nQuestion 1.<br \/>\nPoint P<br \/>\nAnswer:<br \/>\n(1,2)<br \/>\nThe point P is marked in the Quadrant I as shown in the above graph .<br \/>\nExplanation:<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p>Question 2.<br \/>\nPoint Q<br \/>\nAnswer:<br \/>\n(-2,1)<br \/>\nThe point Q is marked in the Quadrant II as shown in the above graph .<br \/>\nExplanation:<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p>Question3.<br \/>\nPoint R<br \/>\nAnswer:<br \/>\n(-2,2)<br \/>\nThe point R is marked in the Quadrant III as shown in the above graph .<br \/>\nExplanation:<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p>Question 4.<br \/>\nPoint S<br \/>\nAnswer:<br \/>\n(2,-3)<br \/>\nThe point S is marked in the Quadrant IV as shown in the above graph .<br \/>\nExplanation:<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p><strong>Plot the ordered pair in a coordinate plane. Describe the location of the point.<\/strong><br \/>\nQuestion 5.<br \/>\n(3, -1)<br \/>\nAnswer:<br \/>\nIt is marked in the Quadrant IV as X coordinate is positive and Y coordinate is negative as shown in the graph.<br \/>\n<span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">It is marked in the Quadrant IV as X coordinate is positive and Y coordinate is negative as shown in the graph.\u00a0<\/span><img loading=\"lazy\" class=\"alignnone size-full wp-image-34692\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-5.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson 8.5-The-Coordinate-Plane-Question-5\" width=\"873\" height=\"535\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-5.jpg 873w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-5-300x184.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-5-768x471.jpg 768w\" sizes=\"(max-width: 873px) 100vw, 873px\" \/><br \/>\nExplanation:<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p>Question 6.<br \/>\n(-5, 0)<br \/>\nAnswer:<br \/>\nIt is marked in the Quadrant II as X coordinate is Negative and Y coordinate is positive as shown in the graph.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34694\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-6.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson 8.5-The-Coordinate-Plane-Question-6\" width=\"796\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-6.jpg 796w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-6-300x173.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-6-768x443.jpg 768w\" sizes=\"(max-width: 796px) 100vw, 796px\" \/><br \/>\nExplanation:<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p>Question 7.<br \/>\n(- 2.5, -1)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34696\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-7.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson 8.5-The-Coordinate-Plane-Question-7\" width=\"815\" height=\"454\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-7.jpg 815w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-7-300x167.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-7-768x428.jpg 768w\" sizes=\"(max-width: 815px) 100vw, 815px\" \/><br \/>\nExplanation:<br \/>\nIt is marked in the Quadrant III as X coordinate is Negative and Y coordinate is Negative as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p>Question 8.<br \/>\n(-1\\(\\frac{1}{2}\\), \\(\\frac{1}{2}\\))<br \/>\nAnswer:<br \/>\n-1\\(\\frac{1}{2}\\) = &#8211;\\(\\frac{3}{2}\\) = -1.5<br \/>\n\\(\\frac{1}{2}\\) = 0.5<br \/>\n(-1.5, 0.5)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34697\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-8.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson 8.5-The-Coordinate-Plane-Question-8\" width=\"789\" height=\"415\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-8.jpg 789w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-8-300x158.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-8-768x404.jpg 768w\" sizes=\"(max-width: 789px) 100vw, 789px\" \/><br \/>\nExplanation:<br \/>\nIt is marked in the Quadrant II as X coordinate is Negative and Y coordinate is positive as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p><strong>Reflect the point in (a) the x-axis and (b) the y-axis.<\/strong><br \/>\nQuestion 9.<br \/>\n(3, &#8211; 2)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34698\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-9.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson 8.5-The-Coordinate-Plane-Question-9\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-9.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-9-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-9-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>Explanation:<br \/>\nIt is marked in the Quadrant IV as X coordinate is positive and Y coordinate is negative as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p>Question 10.<br \/>\n(4, 0)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34699\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-10.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson 8.5-The-Coordinate-Plane-Question-10\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-10.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-10-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-10-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>Explanation:<br \/>\nIt is marked in the Quadrant I as X coordinate is Positive and Y coordinate is Positive as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p>Question 11.<br \/>\n(- 5, 1.5)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34700\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-11.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson 8.5-The-Coordinate-Plane-Question-11\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-11.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-11-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-11-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>Explanation:<br \/>\nIt is marked in the Quadrant II as X coordinate is Negative and Y coordinate is positive as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p><strong>Re\ufb02ect the point in the x-axis followed by the y-axis.<\/strong><br \/>\nQuestion 12.<br \/>\n(3, 2)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34701\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-12.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson 8.5-The-Coordinate-Plane-Question-12\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-12.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-12-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-12-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/>Explanation:<br \/>\nIt is marked in the Quadrant I as X coordinate is Positive and Y coordinate is Positive as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p>Question 13.<br \/>\n(- 1, 2)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34702\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-13.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson 8.5-The-Coordinate-Plane-Question-13\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-13.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-13-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-13-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><br \/>\nExplanation:<br \/>\nIt is marked in the Quadrant II as X coordinate is Negative and Y coordinate is positive as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p>Question 14.<br \/>\n(- 4, &#8211; 3)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34703\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-14.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson 8.5-The-Coordinate-Plane-Question-14\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-14.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-14-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-14-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><br \/>\nExplanation:<br \/>\nIt is marked in the Quadrant III as X coordinate is Negative and Y coordinate is Negative as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p>Question 15.<br \/>\n(5, &#8211; 2.5)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34704\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-15.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson 8.5-The-Coordinate-Plane-Question-15\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-15.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-15-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-15-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>Explanation:<br \/>\nIt is marked in the Quadrant IV as X coordinate is positive and Y coordinate is negative as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p><strong>Self-Assessment for Concepts &amp; Skills<\/strong><\/p>\n<p>Solve each exercise. Then rate your understanding of the success criteria in your journal.<br \/>\n<strong>WRITING ORDERED PAIRS<\/strong> Write an ordered pair corresponding to the point shown in the coordinate plane.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24991\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-4.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.5 4\" width=\"175\" height=\"163\" \/><br \/>\nQuestion 16.<br \/>\nPoint A<br \/>\nAnswer:<br \/>\nX coordinate is 2<br \/>\nY coordinate is 1<br \/>\n(2,1)<br \/>\nExplanation:<br \/>\nIt is marked in the Quadrant I as X coordinate is Positive and Y coordinate is Positive as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p>Question 17.<br \/>\nPoint B<br \/>\nAnswer:<br \/>\nX coordinate is 0<br \/>\nY coordinate is -3<br \/>\nExplanation:<br \/>\nIt is marked in the Quadrant IV as X coordinate is positive and Y coordinate is negative as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p>Question 18.<br \/>\nPoint C<br \/>\nAnswer:<br \/>\nX coordinate is 4<br \/>\nY coordinate is -3<br \/>\nExplanation:<br \/>\nIt is marked in the Quadrant IV as X coordinate is positive and Y coordinate is negative as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p><strong>PLOTTING ORDERED PAIRS<\/strong> Plot the ordered pair in a coordinate plane. Describe the location of the point.<br \/>\nQuestion 19.<br \/>\nJ(2, 5)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34705\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-19.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson 8.5-The-Coordinate-Plane-Question-19\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-19.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-19-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-19-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><br \/>\nExplanation:<br \/>\nStart at the origin move 2 units right and 5 units up. Then plot the point<br \/>\nThe Point is in Quadrant I<\/p>\n<p>Question 20.<br \/>\nK (4, &#8211; 6)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34706\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-20.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson 8.5-The-Coordinate-Plane-Question-20\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-20.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-20-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-20-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><br \/>\nExplanation:<br \/>\nStart at the origin move 4 units right and 6 units down. Then plot the point<br \/>\nThe Point is in Quadrant IV<\/p>\n<p>Question 21.<br \/>\nL (- 3, &#8211; 2\\(\\frac{1}{2}\\))<br \/>\nAnswer:<br \/>\n&#8211; 2\\(\\frac{1}{2}\\)=- \\(\\frac{5}{2}\\))=-2.5<br \/>\nL (-3, -2.5)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34707\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-21.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson 8.5-The-Coordinate-Plane-Question-21\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-21.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-21-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-21-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><br \/>\nExplanation:<br \/>\nStart at the origin move 3 units left and 6 units down. Then plot the point<br \/>\nThe Point is in Quadrant III<\/p>\n<p><strong>REFLECTING POINTS<\/strong><br \/>\nReflect the point in the given axis or axes.<br \/>\nQuestion 22.<br \/>\n(9, 8); x-axis<br \/>\nAnswer:<br \/>\nPlot (9,8) and (9,-8)<br \/>\nExplanation:<br \/>\nTo reflect (9,8) in the x axis, use the same x-coordinate, 9,the opposite of the y coordinate.The opposite of y coordinate 8 is -8<br \/>\nSo the reflection of (9,8)in the x-axis is (9,-8)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34708\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-22.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson 8.5-The-Coordinate-Plane-Question-22\" width=\"796\" height=\"516\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-22.jpg 796w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-22-300x194.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-22-768x498.jpg 768w\" sizes=\"(max-width: 796px) 100vw, 796px\" \/><\/p>\n<p>Question 23.<br \/>\n(\u22127, 3); y-axis<br \/>\nAnswer:<br \/>\nPlot (-7,3) and (7,3)<br \/>\nExplanation:<br \/>\nTo reflect (-7,3) in the y axis, use the same y-coordinate, 3,the opposite of the x coordinate.The opposite of x coordinate -7 is 7<br \/>\nSo the reflection of (-7,3)in the x-axis is (7,3)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34709\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-23.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson 8.5-The-Coordinate-Plane-Question-23\" width=\"824\" height=\"570\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-23.jpg 824w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-23-300x208.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-23-768x531.jpg 768w\" sizes=\"(max-width: 824px) 100vw, 824px\" \/><\/p>\n<p>Question 24.<br \/>\n(6, \u22124); x-axis then y-axis<br \/>\nAnswer:<br \/>\nPlot (6,-4), (6,4) and (-6,4)<br \/>\nExplanation:<br \/>\nTo reflect (6,-4) in the x axis, use the same x-coordinate, 6,the opposite of the y coordinate.The opposite of y coordinate -4 is 4<br \/>\nTo reflect (6,4) in the y axis, use the same y-coordinate, 4,the opposite of the x coordinate.The opposite of x coordinate 6 is -6<br \/>\nSo the reflection of (6,-4)in the x-axis is (6,4)<br \/>\nSo then reflection of (6,4)in the y-axis is (-6,4)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34710\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-24.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson 8.5-The-Coordinate-Plane-Question-24\" width=\"824\" height=\"570\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-24.jpg 824w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-24-300x208.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-24-768x531.jpg 768w\" sizes=\"(max-width: 824px) 100vw, 824px\" \/><\/p>\n<p>Question 25.<br \/>\n(2.5, \u22124); y-axis then x-axis<br \/>\nAnswer:<br \/>\nPlot (2.5, -4) , (-2.5,-4)\u00a0 and (-2.5,4)<br \/>\nExplanation:<br \/>\nTo reflect (2.5,-4) in the y axis, use the same y-coordinate, -4,the opposite of the x coordinate.The opposite of x coordinate 2.5 is -2.5<br \/>\nTo reflect (-2.5,-4) in the x axis, use the same x-coordinate, -2.5,the opposite of the y coordinate.The opposite of y coordinate -4 is 4<br \/>\nSo the reflection of (2.5,-4)in the y-axis is (-2.5,-4)<br \/>\nSo then reflection of (-2.5,-4)in the x-axis is (-2.5,4)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34712\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-25.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson 8.5-The-Coordinate-Plane-Question-25\" width=\"824\" height=\"570\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-25.jpg 824w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-25-300x208.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-25-768x531.jpg 768w\" sizes=\"(max-width: 824px) 100vw, 824px\" \/><\/p>\n<p>Question 26.<br \/>\n<strong>DIG DEEPER<\/strong><br \/>\nAt a park, the welcome center is located at (0, 0), the theater is located at(2, 4), and the restrooms are located at(\u22124.5, 6). The snack bar is exactly halfway between the welcome center and the theater. Graph each location in a coordinate plane.<br \/>\nAnswer:<br \/>\nWelcome Centre is located at (0,0)<br \/>\nTheater is located at (2, 4)<br \/>\nRestrooms are located at (\u22124.5, 6)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34713\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-26.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson 8.5-The-Coordinate-Plane-Question-26\" width=\"824\" height=\"570\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-26.jpg 824w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-26-300x208.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-26-768x531.jpg 768w\" sizes=\"(max-width: 824px) 100vw, 824px\" \/><br \/>\nExplanation:<br \/>\nHalfway between the welcome center and the theater is known by joining both W and T points. we notice now that (2,2) is exactly half way between them so the Snack bar is at (2,2)<\/p>\n<p>Question 27.<br \/>\nThe table shows the elevations of a submarine each hour from noon to 5:00 P.M. Display the data in a line graph. Then describe the change in elevation over time.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24992\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-5.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.5 5\" width=\"449\" height=\"70\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-5.png 449w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-5-300x47.png 300w\" sizes=\"(max-width: 449px) 100vw, 449px\" \/><br \/>\nAnswer:<br \/>\nThe ordered pairs are (0,-4.5), (1,-3), (2,-2.5), (3,-2), (4,-3.5) and (5,-4)<br \/>\nPlot the ordered pairs and then connect the points with line segments<br \/>\nThe elevations of a submarine increases up to 3:00 P.M then later the elevations decreases up to 5:00 P.M<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34715\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-27.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson 8.5-The-Coordinate-Plane-Question-27\" width=\"824\" height=\"570\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-27.jpg 824w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-27-300x208.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.5-The-Coordinate-Plane-Question-27-768x531.jpg 768w\" sizes=\"(max-width: 824px) 100vw, 824px\" \/><\/p>\n<h3>The Coordinate Plane Homework &amp; Practice 8.5<\/h3>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Find the absolute value.<\/strong><br \/>\nQuestion 1.<br \/>\n|35|<br \/>\nAnswer:<br \/>\n|35| = 35<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Quest ion 2.<br \/>\n|- 18|<br \/>\nAnswer:<br \/>\n|- 18| = 18<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 3.<br \/>\n|4.7|<br \/>\nAnswer:<br \/>\n|4.7| = 4.7<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 4.<br \/>\n|- 6\\(\\frac{7}{12}\\)|<br \/>\nAnswer:<br \/>\n|- 6\\(\\frac{7}{12}\\)|= |- \\(\\frac{79}{12}\\)|= |-6.58| =6.58<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x. All\u00a0absolute values\u00a0are positive.<\/p>\n<p>Question 5.<br \/>\nWhat is the ratio of ducks to swans?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24993\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-6.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.5 6\" width=\"329\" height=\"111\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-6.png 329w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-6-300x101.png 300w\" sizes=\"(max-width: 329px) 100vw, 329px\" \/><br \/>\nA. 4 : 9<br \/>\nB. 4 : 5<br \/>\nC. 5 : 4<br \/>\nD. 5 : 9<br \/>\nAnswer:<br \/>\nTotal Number of Ducks = 5<br \/>\nTotal Number of Swans = 4<br \/>\nRatio = Total Number of Ducks \u00f7 Total Number of Swans = 5 \u00f7 4 =\u00a0 \\(\\frac{5}{4}\\)<\/p>\n<p><strong>Graph the equation.<\/strong><br \/>\nQuestion 6.<br \/>\ny = 8x<br \/>\nAnswer:<\/p>\n<div class=\"visitor-block\">\n<div class=\"visitor-bubbles\">\n<div class=\"example-bubble visitor-expandable\">\n<div class=\"visitor-content\">\n<div class=\"Explanation\">Use the\u00a0<span class=\"GlossaryTerm\">slope-intercept<\/span>\u00a0form to find the\u00a0<span class=\"GlossaryTerm\">slope<\/span>\u00a0and\u00a0<span class=\"GlossaryTerm\">y-intercept<\/span>.<\/div>\n<\/div>\n<\/div>\n<div class=\"visitor-bubble\">\n<div class=\"visitor-content\">\n<div class=\"Explanation\"><span class=\"GlossaryTerm\">Slope<\/span>:\u00a0<span id=\"MathJax-Element-15-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 18.08px; letter-spacing: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px;\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;mn&gt;8&lt;\/mn&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\"><span id=\"MJXc-Node-93\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-94\" class=\"mjx-mrow\"><span id=\"MJXc-Node-95\" class=\"mjx-mstyle\"><span id=\"MJXc-Node-96\" class=\"mjx-mrow\"><span id=\"MJXc-Node-97\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">8<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"Explanation\">\n<p><span class=\"GlossaryTerm\">y-intercept<\/span>:\u00a0<span id=\"MathJax-Element-16-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 18.08px; letter-spacing: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px;\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;mn&gt;0&lt;\/mn&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\"><span id=\"MJXc-Node-98\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-99\" class=\"mjx-mrow\"><span id=\"MJXc-Node-100\" class=\"mjx-mstyle\"><span id=\"MJXc-Node-101\" class=\"mjx-mrow\"><span id=\"MJXc-Node-102\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">0<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/p>\n<p>&nbsp;<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"clear\"><span id=\"MJXc-Node-358\" class=\"mjx-mtr\"><span id=\"MJXc-Node-359\" class=\"mjx-mtd\"><span id=\"MJXc-Node-360\" class=\"mjx-mrow\"><span id=\"MJXc-Node-361\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">Explanation:<br \/>\nx = <\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-365\" class=\"mjx-mtr\"><span id=\"MJXc-Node-366\" class=\"mjx-mtd\"><span id=\"MJXc-Node-367\" class=\"mjx-mrow\"><span id=\"MJXc-Node-368\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">0<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-369\" class=\"mjx-mtd\"><span id=\"MJXc-Node-370\" class=\"mjx-mrow\"><span id=\"MJXc-Node-371\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\"><br \/>\ny =\u00a0 0<br \/>\nand<br \/>\nx = <\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-372\" class=\"mjx-mtr\"><span id=\"MJXc-Node-373\" class=\"mjx-mtd\"><span id=\"MJXc-Node-374\" class=\"mjx-mrow\"><span id=\"MJXc-Node-375\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">1<br \/>\n<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-376\" class=\"mjx-mtd\"><span id=\"MJXc-Node-377\" class=\"mjx-mrow\"><span id=\"MJXc-Node-378\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">y= 8<\/span><\/span><\/span><\/span><\/span><\/div>\n<\/div>\n<div class=\"visitor-block\">\n<div class=\"visitor-bubbles\">\n<div class=\"example-bubble visitor-expandable\">\n<div class=\"visitor-content\">\n<div class=\"Explanation\">Any\u00a0<span class=\"GlossaryTerm\">line<\/span>\u00a0can be graphed using two\u00a0<span class=\"GlossaryTerm\">points<\/span>. Select two\u00a0<span id=\"MathJax-Element-17-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 18.08px; letter-spacing: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px;\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;mi&gt;x&lt;\/mi&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\"><span id=\"MJXc-Node-103\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-104\" class=\"mjx-mrow\"><span id=\"MJXc-Node-105\" class=\"mjx-mstyle\"><span id=\"MJXc-Node-106\" class=\"mjx-mrow\"><span id=\"MJXc-Node-107\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">x<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0values, and plug them into the\u00a0<span class=\"GlossaryTerm\">equation<\/span>\u00a0to find the corresponding\u00a0<span id=\"MathJax-Element-18-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 18.08px; letter-spacing: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px;\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;mi&gt;y&lt;\/mi&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\"><span id=\"MJXc-Node-108\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-109\" class=\"mjx-mrow\"><span id=\"MJXc-Node-110\" class=\"mjx-mstyle\"><span id=\"MJXc-Node-111\" class=\"mjx-mrow\"><span id=\"MJXc-Node-112\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">y<\/span><\/span><\/span><\/span><\/span><\/span><\/span> values.<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-38579\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-6.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-6\" width=\"469\" height=\"461\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-6.jpg 469w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-6-300x295.jpg 300w\" sizes=\"(max-width: 469px) 100vw, 469px\" \/><\/p>\n<p>Question 7.<br \/>\ny = 3x + 7<br \/>\nAnswer:<\/p>\n<div class=\"visitor-block\">\n<div class=\"visitor-bubbles\">\n<div class=\"example-bubble visitor-expandable\">\n<div class=\"visitor-content\">\n<div class=\"Explanation\">Use the\u00a0<span class=\"GlossaryTerm\">slope-intercept<\/span>\u00a0form to find the\u00a0<span class=\"GlossaryTerm\">slope<\/span>\u00a0and\u00a0<span class=\"GlossaryTerm\">y-intercept<\/span>.<\/div>\n<\/div>\n<\/div>\n<div class=\"visitor-bubble\">\n<div class=\"visitor-content\">\n<div class=\"Explanation\"><span class=\"GlossaryTerm\">Slope<\/span>: 3<\/div>\n<div class=\"Explanation\"><span class=\"GlossaryTerm\">y-intercept: ( 0 , 7)<\/span><span id=\"MathJax-Element-16-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 18.08px; letter-spacing: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px;\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;mn&gt;0&lt;\/mn&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\"><span id=\"MJXc-Node-98\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-99\" class=\"mjx-mrow\"><span id=\"MJXc-Node-100\" class=\"mjx-mstyle\"><span id=\"MJXc-Node-101\" class=\"mjx-mrow\"><span id=\"MJXc-Node-102\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\"><span style=\"font-size: 16px;\"><br \/>\n<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"Explanation\"><span id=\"MathJax-Element-16-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 18.08px; letter-spacing: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px;\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;mn&gt;0&lt;\/mn&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\"><span id=\"MJXc-Node-98\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-99\" class=\"mjx-mrow\"><span id=\"MJXc-Node-100\" class=\"mjx-mstyle\"><span id=\"MJXc-Node-101\" class=\"mjx-mrow\"><span id=\"MJXc-Node-102\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\"><span style=\"font-size: 16px;\">Explanation:<\/span><br \/>\n<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"clear\"><span id=\"MJXc-Node-358\" class=\"mjx-mtr\"><span id=\"MJXc-Node-359\" class=\"mjx-mtd\"><span id=\"MJXc-Node-360\" class=\"mjx-mrow\"><span id=\"MJXc-Node-361\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">x = -7\/3<\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-365\" class=\"mjx-mtr\"><span id=\"MJXc-Node-369\" class=\"mjx-mtd\"><span id=\"MJXc-Node-370\" class=\"mjx-mrow\"><span id=\"MJXc-Node-371\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\"><br \/>\ny =\u00a0 0<br \/>\nand<br \/>\nx = 0<\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-372\" class=\"mjx-mtr\"><span id=\"MJXc-Node-373\" class=\"mjx-mtd\"><span id=\"MJXc-Node-374\" class=\"mjx-mrow\"><span id=\"MJXc-Node-375\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\"><br \/>\n<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-376\" class=\"mjx-mtd\"><span id=\"MJXc-Node-377\" class=\"mjx-mrow\"><span id=\"MJXc-Node-378\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">y= 7<\/span><\/span><\/span><\/span><\/span><\/div>\n<\/div>\n<div class=\"visitor-block\">\n<div class=\"visitor-bubbles\">\n<div class=\"example-bubble visitor-expandable\">\n<div class=\"visitor-content\">\n<div class=\"Explanation\">Any\u00a0<span class=\"GlossaryTerm\">line<\/span>\u00a0can be graphed using two\u00a0<span class=\"GlossaryTerm\">points<\/span>. Select two\u00a0<span id=\"MathJax-Element-17-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 18.08px; letter-spacing: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px;\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;mi&gt;x&lt;\/mi&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\"><span id=\"MJXc-Node-103\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-104\" class=\"mjx-mrow\"><span id=\"MJXc-Node-105\" class=\"mjx-mstyle\"><span id=\"MJXc-Node-106\" class=\"mjx-mrow\"><span id=\"MJXc-Node-107\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">x<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0values, and plug them into the\u00a0<span class=\"GlossaryTerm\">equation<\/span>\u00a0to find the corresponding\u00a0<span id=\"MathJax-Element-18-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 18.08px; letter-spacing: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px;\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;mi&gt;y&lt;\/mi&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\"><span id=\"MJXc-Node-108\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-109\" class=\"mjx-mrow\"><span id=\"MJXc-Node-110\" class=\"mjx-mstyle\"><span id=\"MJXc-Node-111\" class=\"mjx-mrow\"><span id=\"MJXc-Node-112\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">y<\/span><\/span><\/span><\/span><\/span><\/span><\/span> values.<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-38581\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-7.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-7\" width=\"678\" height=\"546\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-7.jpg 678w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-7-300x242.jpg 300w\" sizes=\"(max-width: 678px) 100vw, 678px\" \/><\/p>\n<p>Question 8.<br \/>\ny = \\(\\frac{2}{5}\\)x + 2<br \/>\nAnswer:<br \/>\ny = \\(\\frac{2}{5}\\)x + 2<br \/>\ny = 0.4x + 2<\/p>\n<div class=\"visitor-block\">\n<div class=\"visitor-bubbles\">\n<div class=\"example-bubble visitor-expandable\">\n<div class=\"visitor-content\">\n<div class=\"Explanation\">Use the\u00a0<span class=\"GlossaryTerm\">slope-intercept<\/span>\u00a0form to find the\u00a0<span class=\"GlossaryTerm\">slope<\/span>\u00a0and\u00a0<span class=\"GlossaryTerm\">y-intercept<\/span>.<\/div>\n<\/div>\n<\/div>\n<div class=\"visitor-bubble\">\n<div class=\"visitor-content\">\n<div class=\"Explanation\"><span class=\"GlossaryTerm\">Slope<\/span>: 0.4<\/div>\n<div class=\"Explanation\"><span class=\"GlossaryTerm\">y-intercept: ( 0 , 2)<\/span><span id=\"MathJax-Element-16-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 18.08px; letter-spacing: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px;\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;mn&gt;0&lt;\/mn&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\"><span id=\"MJXc-Node-98\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-99\" class=\"mjx-mrow\"><span id=\"MJXc-Node-100\" class=\"mjx-mstyle\"><span id=\"MJXc-Node-101\" class=\"mjx-mrow\"><span id=\"MJXc-Node-102\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\"><span style=\"font-size: 16px;\"><br \/>\n<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<div class=\"Explanation\"><span id=\"MathJax-Element-16-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 18.08px; letter-spacing: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px;\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;mn&gt;0&lt;\/mn&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\"><span id=\"MJXc-Node-98\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-99\" class=\"mjx-mrow\"><span id=\"MJXc-Node-100\" class=\"mjx-mstyle\"><span id=\"MJXc-Node-101\" class=\"mjx-mrow\"><span id=\"MJXc-Node-102\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\"><span style=\"font-size: 16px;\">Explanation:<\/span><br \/>\n<\/span><\/span><\/span><\/span><\/span><\/span><\/span><\/div>\n<\/div>\n<\/div>\n<\/div>\n<div class=\"clear\"><span id=\"MJXc-Node-358\" class=\"mjx-mtr\"><span id=\"MJXc-Node-359\" class=\"mjx-mtd\"><span id=\"MJXc-Node-360\" class=\"mjx-mrow\"><span id=\"MJXc-Node-361\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">x = -5<\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-365\" class=\"mjx-mtr\"><span id=\"MJXc-Node-369\" class=\"mjx-mtd\"><span id=\"MJXc-Node-370\" class=\"mjx-mrow\"><span id=\"MJXc-Node-371\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\"><br \/>\ny =\u00a0 0<br \/>\nand<br \/>\nx = 0<\/span><\/span><\/span><\/span><\/span><span id=\"MJXc-Node-372\" class=\"mjx-mtr\"><span id=\"MJXc-Node-373\" class=\"mjx-mtd\"><span id=\"MJXc-Node-374\" class=\"mjx-mrow\"><span id=\"MJXc-Node-375\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\"><br \/>\n<\/span><\/span><\/span><\/span><span id=\"MJXc-Node-376\" class=\"mjx-mtd\"><span id=\"MJXc-Node-377\" class=\"mjx-mrow\"><span id=\"MJXc-Node-378\" class=\"mjx-mn\"><span class=\"mjx-char MJXc-TeX-main-R\">y= 2<\/span><\/span><\/span><\/span><\/span><\/div>\n<\/div>\n<div class=\"visitor-block\">\n<div class=\"visitor-bubbles\">\n<div class=\"example-bubble visitor-expandable\">\n<div class=\"visitor-content\">\n<div class=\"Explanation\">Any\u00a0<span class=\"GlossaryTerm\">line<\/span>\u00a0can be graphed using two\u00a0<span class=\"GlossaryTerm\">points<\/span>. Select two\u00a0<span id=\"MathJax-Element-17-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 18.08px; letter-spacing: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px;\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;mi&gt;x&lt;\/mi&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\"><span id=\"MJXc-Node-103\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-104\" class=\"mjx-mrow\"><span id=\"MJXc-Node-105\" class=\"mjx-mstyle\"><span id=\"MJXc-Node-106\" class=\"mjx-mrow\"><span id=\"MJXc-Node-107\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">x<\/span><\/span><\/span><\/span><\/span><\/span><\/span>\u00a0values, and plug them into the\u00a0<span class=\"GlossaryTerm\">equation<\/span>\u00a0to find the corresponding\u00a0<span id=\"MathJax-Element-18-Frame\" class=\"mjx-chtml MathJax_CHTML\" style=\"line-height: 0; text-indent: 0px; text-align: left; text-transform: none; font-style: normal; font-weight: normal; font-size: 18.08px; letter-spacing: normal; float: none; direction: ltr; max-width: none; max-height: none; min-width: 0px; min-height: 0px; border: 0px; margin: 0px; padding: 1px 0px;\" role=\"presentation\" data-mathml=\"&lt;math xmlns=&quot;http:\/\/www.w3.org\/1998\/Math\/MathML&quot;&gt;&lt;mstyle displaystyle=&quot;true&quot;&gt;&lt;mi&gt;y&lt;\/mi&gt;&lt;\/mstyle&gt;&lt;\/math&gt;\"><span id=\"MJXc-Node-108\" class=\"mjx-math\" aria-hidden=\"true\"><span id=\"MJXc-Node-109\" class=\"mjx-mrow\"><span id=\"MJXc-Node-110\" class=\"mjx-mstyle\"><span id=\"MJXc-Node-111\" class=\"mjx-mrow\"><span id=\"MJXc-Node-112\" class=\"mjx-mi\"><span class=\"mjx-char MJXc-TeX-math-I\">y<\/span><\/span><\/span><\/span><\/span><\/span><\/span> values.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-38584\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-8.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-8\" width=\"965\" height=\"547\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-8.jpg 965w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-8-300x170.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-8-768x435.jpg 768w\" sizes=\"(max-width: 965px) 100vw, 965px\" \/><\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p><strong>Tell which property the statement illustrates.<\/strong><br \/>\nQuestion 9.<br \/>\n(2 . P) . 3 = 2 . (p . 3)<br \/>\nAnswer:<br \/>\nThe Associative Property of Multiplication\u00a0states that numbers in a multiplication expression can be regrouped using parentheses<br \/>\nAssociative Property of Multiplication<br \/>\nFor any real numbers\u00a0<em>a<\/em>,\u00a0<em>b<\/em>, and\u00a0<em>c<\/em>, (<em>a<\/em>\u00a0\u2022\u00a0<em>b<\/em>) \u2022\u00a0<em>c<\/em>\u00a0=\u00a0<em>a<\/em>\u00a0\u2022 (<em>b<\/em>\u00a0\u2022\u00a0<em>c<\/em>).<\/p>\n<p>Question 10.<br \/>\nm + 0 = m<br \/>\nAnswer:<br \/>\nThe\u00a0addition\u00a0property of\u00a00\u00a0states that for any\u00a0number\u00a0being\u00a0added to zero, the sum is the same\u00a0number.Zero is called the additive identity.<\/p>\n<p>Question 11.<br \/>\nw . 1 = w<br \/>\nAnswer:<br \/>\nThe multiplication property of 1 states that for any\u00a0number\u00a0multiplied by one, that answer is that same\u00a0number and\u00a0one is called the multiplicative identity.<\/p>\n<p>Question 12.<br \/>\n15 + k = k + 15<br \/>\nAnswer:<br \/>\nCommutative property of addition: Changing the\u00a0order of addends\u00a0does not change the sum.<\/p>\n<p><strong>Concepts, Skills, &amp;Problem Solving<\/strong><\/p>\n<p><strong>DESCRIBING REFLECTIONS<\/strong> Describe the reflection shown in the image. (See Exploration 1, p. 369.)<br \/>\nQuestion 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24994\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-7.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.5 7\" width=\"162\" height=\"164\" \/><br \/>\nAnswer:<br \/>\nThe image shows the reflection image or mirror image when folded on its y-axis . both the real image and reflection image gets aligned.<\/p>\n<p>Question 14.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-24995\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-8.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.5 8\" width=\"163\" height=\"160\" \/><br \/>\nAnswer:<br \/>\nThe image shows the reflection image or mirror image of a arrow and shoes . when you fold the photo on its y-axis the arrow and shoes its reflection align.<\/p>\n<p>Question 15.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25000\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-9.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.5 9\" width=\"163\" height=\"163\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-9.png 163w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-9-150x150.png 150w\" sizes=\"(max-width: 163px) 100vw, 163px\" \/><br \/>\nAnswer:<br \/>\nThe image shows the reflection or mirror image of a den in water. when you fold the photo on its x-axis, the den in the water and its reflection align.<\/p>\n<p><strong>WRITING ORDERED PAIRS<\/strong> Write an ordered pair corresponding to the point.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25002\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-10.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.5 10\" width=\"167\" height=\"169\" \/><br \/>\nQuestion 16.<br \/>\nPoint A<br \/>\nAnswer:<br \/>\nX coordinate is 3<br \/>\nY coordinate is 1<br \/>\n(3,1)<br \/>\nExplanation:<br \/>\nIt is marked in the Quadrant I as X coordinate is Positive and Y coordinate is Positive as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p>Question 17.<br \/>\nPoint B<br \/>\nAnswer:<br \/>\nX coordinate is -3<br \/>\nY coordinate is -2<br \/>\n(-3,-2)<br \/>\nExplanation:<br \/>\nIt is marked in the Quadrant III as X coordinate is Negative and Y coordinate is Negative as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p>Question 18.<br \/>\nPoint C<br \/>\nAnswer:<br \/>\nX coordinate is -2<br \/>\nY coordinate is 4<br \/>\n(-2,4)<br \/>\nExplanation:<br \/>\nIt is marked in the Quadrant II as X coordinate is Negative and Y coordinate is Positive as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p>Question 19.<br \/>\nPoint D<br \/>\nAnswer:<br \/>\nX coordinate is 1<br \/>\nY coordinate is 2<br \/>\n(1,2)<br \/>\nExplanation:<br \/>\nIt is marked in the Quadrant I as X coordinate is Positive and Y coordinate is Positive as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p>Question 20.<br \/>\nPoint E<br \/>\nAnswer:<br \/>\nX coordinate is 2<br \/>\nY coordinate is -2<br \/>\n(2,-2)<br \/>\nExplanation:<br \/>\nIt is marked in the Quadrant IV as X coordinate is Positive and Y coordinate is Negative as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p>Question 21.<br \/>\nPoint F<br \/>\nAnswer:<br \/>\nX coordinate is 0<br \/>\nY coordinate is -4<br \/>\n(0,-4)<br \/>\nExplanation:<br \/>\nIt is marked in the Quadrant IV as X coordinate is Positive and Y coordinate is Negative as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p>Question 22.<br \/>\nPoint G<br \/>\nAnswer:<br \/>\nX coordinate is -4<br \/>\nY coordinate is 2<br \/>\n(-4,2)<br \/>\nExplanation:<br \/>\nIt is marked in the Quadrant II as X coordinate is Negative and Y coordinate is Positive as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p>Question 23.<br \/>\nPoint H<br \/>\nAnswer:<br \/>\nX coordinate is -4<br \/>\nY coordinate is -4<br \/>\n(-4,-4)<br \/>\nExplanation:<br \/>\nIt is marked in the Quadrant III as X coordinate is Negative and Y coordinate is Negative as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p>Question 24.<br \/>\nPoint I<br \/>\nAnswer:<br \/>\nX coordinate is 4<br \/>\nY coordinate is 0<br \/>\n(4,0)<br \/>\nExplanation:<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p>Question 25.<br \/>\nPoint J<br \/>\nAnswer:<br \/>\nX coordinate is 4<br \/>\nY coordinate is -4<br \/>\n(4,-4)<br \/>\nExplanation:<br \/>\nIt is marked in the Quadrant IV as X coordinate is Positive and Y coordinate is Negative as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p><strong>PLOTTING ORDERED PAIRS<\/strong> Plot the ordered pair in a coordinate plane. Describe the location of the point.<br \/>\nQuestion 26.<br \/>\nK (4, 3)<br \/>\nAnswer:<img loading=\"lazy\" class=\"alignnone size-full wp-image-34717\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-26.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-&amp;-Practice-8.5-Question-26\" width=\"785\" height=\"424\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-26.jpg 785w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-26-300x162.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-26-768x415.jpg 768w\" sizes=\"(max-width: 785px) 100vw, 785px\" \/><br \/>\nExplanation:<br \/>\nStart at the origin move 4 units Right and 3 units up. Then plot the point<br \/>\nThe Point is in Quadrant I<\/p>\n<p>Question 27.<br \/>\nL (1, 2)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-34719\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-27.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-&amp;-Practice-8.5-Question-27\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-27.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-27-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-27-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><br \/>\nExplanation:<br \/>\nStart at the origin move 1 units Right and 2 units up. Then plot the point<br \/>\nThe Point is in Quadrant I<\/p>\n<p>Question 28.<br \/>\nM (0, 6)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35262\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-28.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-28\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-28.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-28-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-28-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><br \/>\nExplanation:<br \/>\nStart at the origin move 6 units up. Then plot the point<br \/>\nThe Point is in Quadrant I<\/p>\n<p>Question 29.<br \/>\nN (3, &#8211; 7)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35263\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-29.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-29\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-29.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-29-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-29-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><br \/>\nExplanation:<br \/>\nStart at the origin move 3 units Right and 7 units down. Then plot the point<br \/>\nThe Point is in Quadrant IV<\/p>\n<p>Question 30.<br \/>\nP (- 5, &#8211; 9)<br \/>\nAnswer:<img loading=\"lazy\" class=\"alignnone size-full wp-image-35264\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-30.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-30\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-30.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-30-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-30-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><br \/>\nExplanation:<br \/>\nStart at the origin move 5 units left and 9 units down. Then plot the point<br \/>\nThe Point is in Quadrant III<\/p>\n<p>Question 31.<br \/>\nR (8, 0)<br \/>\nAnswer:<img loading=\"lazy\" class=\"alignnone size-full wp-image-35267\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-31.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-31\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-31.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-31-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-31-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><br \/>\nExplanation:<br \/>\nStart at the origin move 8 units Right and y is 0 remains at the same point. Then plot the point<br \/>\nThe Point is in Quadrant I<\/p>\n<p>Question 32.<br \/>\nS (- 1.5, 0)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35348\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-32.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-32\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-32.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-32-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-32-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><br \/>\nExplanation:<br \/>\nStart at the origin move 1.5 units left and y is 0 remains at the same point. Then plot the point<br \/>\nThe Point is in Quadrant II<\/p>\n<p>Question 33.<br \/>\nT (3.5, 1.5)<br \/>\nAnswer:<img loading=\"lazy\" class=\"alignnone size-full wp-image-35399\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-33.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-33\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-33.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-33-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-33-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><br \/>\nExplanation:<br \/>\nStart at the origin move 3.5 units Right and 1.5 units up Then plot the point<br \/>\nThe Point is in Quadrant I<\/p>\n<p>Question 34.<br \/>\nU (2, &#8211; 4)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35402\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-34.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-34\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-34.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-34-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-34-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><br \/>\nExplanation:<br \/>\nStart at the origin move 2 units left and 4 units down. Then plot the point<br \/>\nThe Point is in Quadrant IV<\/p>\n<p>Question 35.<br \/>\nV (- 4, 1)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35403\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-35.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-35\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-35.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-35-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-35-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><br \/>\nExplanation:<br \/>\nStart at the origin move 4 units left and 1 units up . Then plot the point<br \/>\nThe Point is in Quadrant II<\/p>\n<p>Question 36.<br \/>\nW (2\\(\\frac{1}{2}\\), 0)<br \/>\nAnswer:<br \/>\n2\\(\\frac{1}{2}\\)=\\(\\frac{5}{2}\\)=2.5<br \/>\nW(2.5,0)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35405\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-37-1.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-37\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-37-1.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-37-1-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-37-1-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><br \/>\nExplanation:<br \/>\nStart at the origin move 2.5 units Right and y is 0 so it remains on the same point . Then plot the point<br \/>\nThe Point is in Quadrant I<\/p>\n<p>Question 37.<br \/>\nZ (- 4, &#8211; 5)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35404\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-37.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-37\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-37.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-37-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-37-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><br \/>\nExplanation:<br \/>\nStart at the origin move 4 units left and 5 units down . Then plot the point<br \/>\nThe Point is in Quadrant III<\/p>\n<p><strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend describes how to plot the point. Is your friend correct? Explain your reasoning.<br \/>\nQuestion 38.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25004\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-11.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.5 11\" width=\"208\" height=\"95\" \/><br \/>\nAnswer:<br \/>\nNo , he is wrong.<br \/>\nExplanation:<br \/>\nStart at the origin move 4 units Right and 5 units up . Then plot the point<br \/>\nThe Point is in Quadrant I<\/p>\n<p>Question 39.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25006\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-12.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.5 12\" width=\"203\" height=\"95\" \/><br \/>\nAnswer:<br \/>\nYes he is right<br \/>\nThe Point is in Quadrant II<\/p>\n<p>MODELING REAL LIFE InExercises 40 &#8211; 44, use the map of the zoo.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25008\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-13.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.5 13\" width=\"365\" height=\"217\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-13.png 365w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-13-300x178.png 300w\" sizes=\"(max-width: 365px) 100vw, 365px\" \/><br \/>\nQuestion 40.<br \/>\nWhich exhibit is located at (2, 1)?<br \/>\nAnswer:<br \/>\nReptiles<\/p>\n<p>Question 41.<br \/>\nName an attraction on the positive y-axis.<br \/>\nAnswer:<br \/>\nFlamingo cafe<\/p>\n<p>Question 42.<br \/>\nIs parking available in Quadrant II? If not, name a quadrant in which you can park.<br \/>\nAnswer:<br \/>\nNo, You can Park in Quadrant III and Quadrant IV<\/p>\n<p>Question 43.<br \/>\nWrite two different ordered pairs that represent the location of the Rain Forest.<br \/>\nAnswer:<br \/>\n(5,-2) and (5,-1)<\/p>\n<p>Question 44.<br \/>\nWhich exhibit is closest to (\u22128, \u22123)?<br \/>\nAnswer:<br \/>\nSafari Africa<\/p>\n<p><strong>REFLECTING POINTS IN ONE AXIS<\/strong><br \/>\nRe\ufb02ect the point in (a) the x-axis and (b) the y-axis.<br \/>\nQuestion 45.<br \/>\n(3, 2)<br \/>\nAnswer:<br \/>\nPlot (3, 2) , (3,-2)\u00a0 and (-3.-2)<br \/>\nExplanation:<br \/>\nTo reflect (3,2) in the x axis, use the same x-coordinate, 3,the opposite of the y coordinate.The opposite of y coordinate 2 is -2<br \/>\nTo reflect (3,2) in the y axis, use the same y-coordinate, 2,the opposite of the x coordinate.The opposite of x coordinate 3 is -3<br \/>\nSo then reflection of (3,2)in the x-axis is (3,-2)<br \/>\nSo the reflection of (3,2)in the y-axis is (-3,2)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35430\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-45-1.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-45\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-45-1.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-45-1-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-45-1-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>Question 46.<br \/>\n(- 4, 4)<br \/>\nAnswer:<br \/>\nPlot (-4, 4) , (-4,-4)\u00a0 and (4,4)<br \/>\nExplanation:<br \/>\nTo reflect (-4,4) in the x axis, use the same x-coordinate, -4,the opposite of the y coordinate.The opposite of y coordinate 4 is -4<br \/>\nTo reflect (-4,4) in the y axis, use the same y-coordinate, 4,the opposite of the x coordinate.The opposite of x coordinate -4 is 4<br \/>\nSo then reflection of (-4,4)in the x-axis is (-4,-4)<br \/>\nSo the reflection of (-4,-4)in the y-axis is (4,4)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35431\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-46.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-46\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-46.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-46-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-46-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>Question 47.<br \/>\n(- 5, &#8211; 6)<br \/>\nAnswer:<br \/>\nPlot (-5, -6) , (-5,6)\u00a0 and (5,-6)<br \/>\nExplanation:<br \/>\nTo reflect (-5,-6) in the x axis, use the same x-coordinate, -5,the opposite of the y coordinate.The opposite of y coordinate -6 is 6<br \/>\nTo reflect (-5,-6) in the y axis, use the same y-coordinate, -6,the opposite of the x coordinate.The opposite of x coordinate -5 is 5<br \/>\nSo then reflection of (-5,-6)in the x-axis is (-5,6)<br \/>\nSo the reflection of (-5,-6)in the y-axis is (5,-6)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35546\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-47.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-47\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-47.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-47-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-47-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 48.<br \/>\n(4, &#8211; 7)<br \/>\nAnswer:<br \/>\nPlot (4, -7) , (4,7)\u00a0 and (-4,-7)<br \/>\nExplanation:<br \/>\nTo reflect (4,-7) in the x axis, use the same x-coordinate, 4,the opposite of the y coordinate.The opposite of y coordinate -7 is 7<br \/>\nTo reflect (4,-7) in the y axis, use the same y-coordinate, -7,the opposite of the x coordinate.The opposite of x coordinate 4 is -4<br \/>\nSo then reflection of (4,-7)in the x-axis is (4,7)<br \/>\nSo the reflection of (4,-7)in the y-axis is (-4,-7)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35547\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-48.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-48\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-48.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-48-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-48-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 49.<br \/>\n(- 9, 3)<br \/>\nAnswer:<br \/>\nPlot (-9, 3) , (-9,-3)\u00a0 and (9,3)<br \/>\nExplanation:<br \/>\nTo reflect (-9,3) in the x axis, use the same x-coordinate, -9,the opposite of the y coordinate.The opposite of y coordinate 3 is -3<br \/>\nTo reflect (-9,3) in the y axis, use the same y-coordinate, 3,the opposite of the x coordinate.The opposite of x coordinate -9 is 9<br \/>\nSo then reflection of (-9,3)in the x-axis is (-9,-3)<br \/>\nSo the reflection of (-9,3)in the y-axis is (9,3)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35548\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-49.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-49\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-49.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-49-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-49-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 50.<br \/>\n(6, &#8211; 2)<br \/>\nAnswer:<br \/>\nPlot (6, -2) , (6,2)\u00a0 and (-6,-2)<br \/>\nExplanation:<br \/>\nTo reflect (6, -2) in the x axis, use the same x-coordinate, 6,the opposite of the y coordinate.The opposite of y coordinate -2 is 2<br \/>\nTo reflect (6, -2) in the y axis, use the same y-coordinate, -2,the opposite of the x coordinate.The opposite of x coordinate 6 is -6<br \/>\nSo then reflection of (6, -2) in the x-axis is (6,2)<br \/>\nSo the reflection of (6, -2) in the y-axis is (-6,-2)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35549\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-50.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-50\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-50.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-50-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-50-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 51.<br \/>\n(0, &#8211; 1)<br \/>\nAnswer:<br \/>\nPlot (0, &#8211; 1) , (0,1)\u00a0 and (0,-1)<br \/>\nExplanation:<br \/>\nTo reflect (0, &#8211; 1) in the x axis, use the same x-coordinate, 0,the opposite of the y coordinate.The opposite of y coordinate -1 is 1<br \/>\nTo reflect (0, &#8211; 1) in the y axis, use the same y-coordinate, -1,the opposite of the x coordinate.The opposite of x coordinate -1 is 1<br \/>\nSo then reflection of (0, &#8211; 1) in the x-axis is (0,1)<br \/>\nSo the reflection of ((0, &#8211; 1) in the y-axis is (0,-1)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35550\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-51.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-51\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-51.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-51-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-51-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 52.<br \/>\n(- 8, 0)<br \/>\nAnswer:<br \/>\nPlot (-8, 0) , (-8,0)\u00a0 and (8,0)<br \/>\nExplanation:<br \/>\nTo reflect (-8, 0)in the x axis, use the same x-coordinate, -8,the opposite of the y coordinate.The opposite of y coordinate 0 is 0<br \/>\nTo reflect (-8, 0) in the y axis, use the same y-coordinate, 0,the opposite of the x coordinate.The opposite of x coordinate -8 is 8<br \/>\nSo then reflection of (-8, 0) in the x-axis is (-8,0)<br \/>\nSo the reflection of (-8, 0) in the y-axis is (8,0)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35551\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-52.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-52\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-52.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-52-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-52-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 53.<br \/>\n(- 3.5, 2)<br \/>\nAnswer:<br \/>\nPlot (-3.5, 2) , (-3.5,-2)\u00a0 and (3.5,2)<br \/>\nExplanation:<br \/>\nTo reflect (-3.5, 2) in the x axis, use the same x-coordinate, -3.5,the opposite of the y coordinate.The opposite of y coordinate 2 is -2<br \/>\nTo reflect (-3.5, 2) in the y axis, use the same y-coordinate, 2,the opposite of the x coordinate.The opposite of x coordinate -3.5 is 3.5<br \/>\nSo then reflection of (-3.5, 2) in the x-axis is (-3.5,-2)<br \/>\nSo the reflection of (-3.5, 2) in the y-axis is (3.5,2)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35552\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-53.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-53\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-53.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-53-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-53-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 54.<br \/>\n(2.5, 4.5)<br \/>\nAnswer:<br \/>\nPlot (2.5, 4.5) , (2.5,-4.5)\u00a0 and (-2.5,4.5)<br \/>\nExplanation:<br \/>\nTo reflect (2.5, 4.5) in the x axis, use the same x-coordinate, 2.5 ,the opposite of the y coordinate.The opposite of y coordinate 4.5 is -4.5<br \/>\nTo reflect (2.5, 4.5) in the y axis, use the same y-coordinate, 4.5,the opposite of the x coordinate.The opposite of x coordinate 2.5 is -2.5<br \/>\nSo then reflection of (2.5, 4.5) in the x-axis is (2.5,-4.5)<br \/>\nSo the reflection of (2.5, 4.5) in the y-axis is (-2.5,4.5)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35553\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-54.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-54\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-54.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-54-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-54-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>Question 55.<br \/>\n(-5 \\(\\frac{1}{2}\\), 3)<br \/>\nAnswer:<br \/>\n-5 \\(\\frac{1}{2}\\) = &#8211; \\(\\frac{11}{2}\\) = -5.5<br \/>\n(-5.5, 3 )<br \/>\nPlot (-5.5, 3 ) , (-5.5,-3)\u00a0 and (5.5,3)<br \/>\nExplanation:<br \/>\nTo reflect (-5.5, 3 ) in the x axis, use the same x-coordinate, -5.5,the opposite of the y coordinate.The opposite of y coordinate 3 is -3<br \/>\nTo reflect (-5.5, 3 ) in the y axis, use the same y-coordinate, 3,the opposite of the x coordinate.The opposite of x coordinate -5.5 is 5.5<br \/>\nSo then reflection of (-5.5, 3 ) in the x-axis is (-5.5,-3)<br \/>\nSo the reflection of (-5.5, 3 ) in the y-axis is (5.5,3)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35554\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-55.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-55\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-55.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-55-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-55-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>Question 56.<br \/>\n(\\(\\frac{1}{4}\\), \\(-\\frac{7}{8}\\))<br \/>\nAnswer:<br \/>\n\\(\\frac{1}{4}\\) = 0.25<br \/>\n\\(-\\frac{7}{8}\\) = -0.8<br \/>\n(0.25,-0.8)<br \/>\nPlot (0.25,-0.8) , (0.25,0.8)\u00a0 and (-0.25,-0.8)<br \/>\nExplanation:<br \/>\nTo reflect (0.25,-0.8) in the x axis, use the same x-coordinate, 0.25,the opposite of the y coordinate.The opposite of y coordinate -0.8 is 0.8<br \/>\nTo reflect (0.25,-0.8)in the y axis, use the same y-coordinate, -0.8 ,the opposite of the x coordinate.The opposite of x coordinate 0.25 is -0.25<br \/>\nSo then reflection of (0.25,-0.8) in the x-axis is (0.25,0.8)<br \/>\nSo the reflection of (0.25,-0.8) in the y-axis is (-0.25,-0.8)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35568\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-55-1.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-55\" width=\"1366\" height=\"768\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-55-1.jpg 1366w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-55-1-300x169.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-55-1-1024x576.jpg 1024w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-One-Axis-Question-55-1-768x432.jpg 768w\" sizes=\"(max-width: 1366px) 100vw, 1366px\" \/><\/p>\n<p><strong>REFLECTING POINTS IN BOTH AXES<\/strong><br \/>\nReflect the point in the x-axis followed by the y-axis.<br \/>\nQuestion 57.<br \/>\n(4, 5)<br \/>\nAnswer:<br \/>\nPlot (4, 5) , (4,-5)\u00a0 and (-4,-5)<br \/>\nExplanation:<br \/>\nTo reflect(4, 5)in the x axis, use the same x-coordinate, 4,the opposite of the y coordinate.The opposite of y coordinate 5 is -5<br \/>\nTo reflect (4, -5) in the y axis, use the same y-coordinate, -5,the opposite of the x coordinate.The opposite of x coordinate 4 is -4<br \/>\nSo then reflection of (4, 5) in the x-axis is (4,-5)<br \/>\nSo the reflection of (4,-5) in the y-axis is (-4,-5)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35555\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-57.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-57\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-57.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-57-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-57-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>Question 58.<br \/>\n(- 1, 7)<br \/>\nAnswer:<br \/>\nPlot (-1, 7) , (-1,-7)\u00a0 and (1,-7)<br \/>\nExplanation:<br \/>\nTo reflect (-1, 7) in the x axis, use the same x-coordinate, -1,the opposite of the y coordinate.The opposite of y coordinate 7 is -7<br \/>\nTo reflect (-1,-7)\u00a0 in the y axis, use the same y-coordinate, -7,the opposite of the x coordinate.The opposite of x coordinate -1 is 1<br \/>\nSo then reflection of (-1, 7) in the x-axis is (-1,-7)<br \/>\nSo the reflection of (-1,-7)\u00a0 in the y-axis is (1,-7)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35556\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-58.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-58\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-58.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-58-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-58-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 59.<br \/>\n(- 2, &#8211; 2)<br \/>\nAnswer:<br \/>\nPlot (- 2, &#8211; 2) , (-2,2)\u00a0 and (2,2)<br \/>\nExplanation:<br \/>\nTo reflect(- 2, &#8211; 2) in the x axis, use the same x-coordinate, -2,the opposite of the y coordinate.The opposite of y coordinate -2 is 2<br \/>\nTo reflect (-2,2) in the y axis, use the same y-coordinate, 2,the opposite of the x coordinate.The opposite of x coordinate -2 is 2<br \/>\nSo then reflection of (- 2, &#8211; 2) in the x-axis is (-2,2)<br \/>\nSo the reflection of (-2,2) in the y-axis is (2,2)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35557\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-59.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-59\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-59.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-59-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-59-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>Question 60.<br \/>\n(6, &#8211; 7)<br \/>\nAnswer:<br \/>\nPlot (6, &#8211; 7) , (6,7)\u00a0 and (-6,7)<br \/>\nExplanation:<br \/>\nTo reflect (6, &#8211; 7) in the x axis, use the same x-coordinate, 6,the opposite of the y coordinate.The opposite of y coordinate\u00a0 -7 is 7<br \/>\nTo reflect (6,7)\u00a0 in the y axis, use the same y-coordinate, 7,the opposite of the x coordinate.The opposite of x coordinate 6 is -6<br \/>\nSo then reflection of (6, &#8211; 7) in the x-axis is (6,7)<br \/>\nSo the reflection of (6,7)\u00a0 in the y-axis is (-6,7)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35558\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-60.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-60\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-60.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-60-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-60-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 61.<br \/>\n(- 8, &#8211; 8)<br \/>\nAnswer:<br \/>\nPlot (- 8, &#8211; 8) , (-8,8)\u00a0 and (8,8)<br \/>\nExplanation:<br \/>\nTo reflect (- 8, &#8211; 8) in the x axis, use the same x-coordinate, -8,the opposite of the y coordinate.The opposite of y coordinate -8 is 8<br \/>\nTo reflect (-8,8) in the y axis, use the same y-coordinate, 8,the opposite of the x coordinate.The opposite of x coordinate 8 is -8<br \/>\nSo then reflection of (- 8, &#8211; 8) in the x-axis is (-8,8)<br \/>\nSo the reflection of (-8,8) in the y-axis is (8,8)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35559\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-61.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-61\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-61.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-61-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-61-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 62.<br \/>\n(5, 9)<br \/>\nAnswer:<br \/>\nPlot (5, 9) , (5,-9)\u00a0 and (-5,-9)<br \/>\nExplanation:<br \/>\nTo reflect (5, 9) in the x axis, use the same x-coordinate, 5,the opposite of the y coordinate.The opposite of y coordinate 9 is -9<br \/>\nTo reflect (5,-9) in the y axis, use the same y-coordinate, -9,the opposite of the x coordinate.The opposite of x coordinate 5 is -5<br \/>\nSo then reflection of (5, 9) in the x-axis is (5,-9)<br \/>\nSo the reflection of (5,-9) in the y-axis is (-5,-9)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35560\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-62.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-62\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-62.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-62-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-62-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 63.<br \/>\n(0, &#8211; 2)<br \/>\nAnswer:<br \/>\nPlot (0, &#8211; 2) , (0,2)\u00a0 and (0,2)<br \/>\nExplanation:<br \/>\nTo reflect (0, &#8211; 2) in the x axis, use the same x-coordinate, 0,the opposite of the y coordinate.The opposite of y coordinate\u00a0 -2 is 2<br \/>\nTo reflect (0,2) in the y axis, use the same y-coordinate, 0,the opposite of the x coordinate.The opposite of x coordinate 2 is -2<br \/>\nSo then reflection of (0, &#8211; 2)in the x-axis is (0,2)<br \/>\nSo the reflection of (0,2) in the y-axis is (0,2)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35561\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-63.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-63\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-63.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-63-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-63-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>Question 64.<br \/>\n(- 9, 0)<br \/>\nAnswer:<br \/>\nPlot (-9, 0) , (-9,0)\u00a0 and (9,0)<br \/>\nExplanation:<br \/>\nTo reflect (-9, 0) in the x axis, use the same x-coordinate, -9,the opposite of the y coordinate.The opposite of y coordinate 0 is 0<br \/>\nTo reflect (9,0) in the y axis, use the same y-coordinate, 0,the opposite of the x coordinate.The opposite of x coordinate 9 is -9<br \/>\nSo then reflection of (-9, 0)in the x-axis is (-9,0)<br \/>\nSo the reflection of (-9,0) \u00a0in the y-axis is (9,0)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35562\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-64.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-64\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-64.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-64-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-64-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 65.<br \/>\n(6.5, &#8211; 10.5)<br \/>\nAnswer:<br \/>\nPlot (6.5, -10.5) , (6.5,10.5)\u00a0 and (-6.5,10.5)<br \/>\nExplanation:<br \/>\nTo reflect (6.5, -10.5) in the x axis, use the same x-coordinate, 6.5,the opposite of the y coordinate.The opposite of y coordinate -10.5 is 10.5<br \/>\nTo reflect (6.5,10.5) in the y axis, use the same y-coordinate,10.5, the opposite of the x coordinate.The opposite of x coordinate 6.5 is -6.5<br \/>\nSo then reflection of (6.5, -10.5) in the x-axis is (6.5,10.5)<br \/>\nSo the reflection of (6.5,10.5) in the y-axis is (-6.5,10.5)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35563\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-65.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-65\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-65.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-65-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-65-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 66.<br \/>\n(- 0.4, 0.7)<br \/>\nAnswer:<br \/>\nPlot (- 0.4, 0.7) , (-0.4,-0.7)\u00a0 and (0.4,-0.7)<br \/>\nExplanation:<br \/>\nTo reflect (- 0.4, 0.7) in the x axis, use the same x-coordinate, -0.4,the opposite of the y coordinate.The opposite of y coordinate 0.7 is -0.7<br \/>\nTo reflect (-0.4,-0.7) in the y axis, use the same y-coordinate, -0.7,the opposite of the x coordinate.The opposite of x coordinate -0.4 is 0.4<br \/>\nSo then reflection of(- 0.4, 0.7) in the x-axis is (-0.4,-0.7)<br \/>\nSo the reflection of (-0.4,-0.7) in the y-axis is (0.4,-0.7)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35564\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-66.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-66\" width=\"1128\" height=\"621\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-66.jpg 1128w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-66-300x165.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-66-1024x564.jpg 1024w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-66-768x423.jpg 768w\" sizes=\"(max-width: 1128px) 100vw, 1128px\" \/><\/p>\n<p>Question 67.<br \/>\n(\\(\\frac{1}{3}\\), \\(\\frac{2}{3}\\))<br \/>\nAnswer:<br \/>\n\\(\\frac{1}{3}\\)=0.3<br \/>\n\\(\\frac{2}{3}\\)=0.6<br \/>\nPlot (0.3,0.6), (0.3,-0.6) and (-0.3,-0.6)<br \/>\nExplanation:<br \/>\nTo reflect (0.3,0.6) in the x axis, use the same x-coordinate, 0.3,the opposite of the y coordinate.The opposite of y coordinate 0.6 is -0.6<br \/>\nTo reflect (0.3,-0.6) in the y axis, use the same y-coordinate, -0.6,the opposite of the x coordinate.The opposite of x coordinate 0.3 is -0.3<br \/>\nSo then reflection of (0.3,0.6) in the x-axis is (0.3,-0.6)<br \/>\nSo the reflection of (0.3,-0.6) in the y-axis is (-0.3,-0.6)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35565\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-67.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-67\" width=\"1128\" height=\"626\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-67.jpg 1128w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-67-300x166.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-67-1024x568.jpg 1024w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-67-768x426.jpg 768w\" sizes=\"(max-width: 1128px) 100vw, 1128px\" \/><\/p>\n<p>Question 68.<br \/>\n(- 1\\(\\frac{2}{5}\\), &#8211; 1\\(\\frac{4}{5}\\))<br \/>\nAnswer:<br \/>\n&#8211; 1\\(\\frac{2}{5}\\) = &#8211;\\(\\frac{7}{5}\\) = -1.4<br \/>\n&#8211; 1\\(\\frac{4}{5}\\) = &#8211;\\(\\frac{9}{5}\\) =-1.8<br \/>\n(-1.4,-1.8)<br \/>\nPlot (-1.4,-1.8) , (-1.4,1.8)\u00a0 and (1.4,-1.8)<br \/>\nExplanation:<br \/>\nTo reflect (-1.4,-1.8) in the x axis, use the same x-coordinate, -1.4,the opposite of the y coordinate.The opposite of y coordinate -1.8 is 1.8<br \/>\nTo reflect (-1.4,1.8)\u00a0 in the y axis, use the same y-coordinate, 1.8,the opposite of the x coordinate.The opposite of x coordinate\u00a0 -1.4 is 1.4<br \/>\nSo then reflection of (-1.4,-1.8) in the x-axis is (-1.4,1.8)<br \/>\nSo the reflection of (-1.4,1.8)\u00a0 in the y-axis is (1.4,-1.8)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35567\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-68.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-68\" width=\"1128\" height=\"621\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-68.jpg 1128w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-68-300x165.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-68-1024x564.jpg 1024w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Reflecting-Points-in-both-Axes-Question-68-768x423.jpg 768w\" sizes=\"(max-width: 1128px) 100vw, 1128px\" \/><\/p>\n<p>Question 69.<br \/>\n<strong>STRUCTURE<\/strong><br \/>\nReflect a point in the x-axis followed by the y-axis. Then reflect the original point in the y-axis followed by the x-axis. Do you get the same results? Explain.<br \/>\nAnswer:<\/p>\n<p><strong>REASONING<\/strong> Describe the possible location(s) of the point (x, y).<br \/>\nQuestion 70.<br \/>\nx &gt; 0, y &gt; 0<br \/>\nAnswer:<br \/>\nFor point (x,y) if x&gt;0 then you would be going in the positive direction on the x axis. This eliminates quadrants II and III because the x axis is negative there. Now you&#8217;re down to either quadrant I or quadrant IV. Given that y&gt;0, the y values on the y axis are more than 0 so they are becoming positive. This means that (x, y) must be in quadrant I.<\/p>\n<p>Question 71.<br \/>\nx &lt; 0, y &lt; 0<br \/>\nAnswer:<br \/>\nFor Point (x,y) if x &lt; 0 then you would be going in negative direction on the x axis , This elimates quadrants I and IV because the axis is positive there.Now you&#8217;re down to either Quadrant II or Quadrant III. Given that\u00a0 y&lt; 0,the values on the y axis are less than 0 so they are becoming negative. This means that (x,y) must be in Quadrant III.<\/p>\n<p>Question 72. x &gt; 0, y &lt; 0<br \/>\nAnswer:<br \/>\nFor point (x,y) if x&gt;0 then you would be going in the positive direction on the x axis. This eliminates quadrants II and III because the x axis is negative there. Now you&#8217;re down to either quadrant I or quadrant IV. Given that y&lt;0, the y values on the y axis are less than 0 so they are becoming negative. This means that (x, y) must be in quadrant IV<\/p>\n<p>Question 73. x &gt; 0<br \/>\nAnswer:<br \/>\nFor point (x,y) if x&gt;0 then you would be going in the positive direction on the x axis. This eliminates quadrants II and III because the x axis is negative there. Now you&#8217;re down to either quadrant I or quadrant IV.<\/p>\n<p>Question 74.<br \/>\ny &lt; 0<br \/>\nAnswer:<br \/>\nGiven that y&lt;0, the y values on the y axis are less than 0 so they are becoming negative. It can be in Quadrant III and Quadrant IV.<\/p>\n<p>Question 75.<br \/>\nx = 0, y = 0<br \/>\nAnswer:<br \/>\nEither x or y or both are on the x or y axis<\/p>\n<p><strong>CRITICAL THINKING<\/strong><br \/>\nTell whether the statement is always, sometimes, or never true. Explain your reasoning.<br \/>\nQuestion 76.<br \/>\nThe x-coordinate of a point on the x-axis is zero.<br \/>\nAnswer:<br \/>\nTrue<br \/>\nExplanation:<br \/>\nSince every\u00a0point\u00a0on the\u00a0x\u00a0&#8211;\u00a0axis\u00a0has no distance (zero distance) from the\u00a0x\u00a0&#8211;\u00a0axis, therefore, the y &#8211;\u00a0coordinate\u00a0of every\u00a0point\u00a0lying on the\u00a0x\u00a0&#8211;\u00a0axis\u00a0is always zero. Thus, the\u00a0coordinates\u00a0of any\u00a0point\u00a0on the\u00a0x\u00a0&#8211;\u00a0axis\u00a0are of the form (x, 0), where\u00a0x\u00a0is the distance of the\u00a0point\u00a0from the y &#8211;\u00a0axis<\/p>\n<p>Question 77.<br \/>\nThe y-coordinates of points in Quadrant III are positive.<br \/>\nAnswer:<br \/>\nNo. Never True<br \/>\nExplanation:<br \/>\nIn the III Quadrant all X- coordinates are negative.<br \/>\nIn the III Quadrant all Y- coordinates are negative.<\/p>\n<p>Question 78.<br \/>\nThe x-coordinate of a point in Quadrant II has the same sign as the y-coordinate of a point in Quadrant IV.<br \/>\nAnswer:<br \/>\nTrue.<br \/>\nExplanation:<br \/>\nIn Quadrant II x-coordinate of a point is negative<br \/>\nIn Quadrant IV y-coordinate of a point\u00a0 is negative.<br \/>\nBoth the signs are negative and same.<\/p>\n<p>Question 79.<br \/>\n<strong>MODELING REAL LIFE<\/strong><br \/>\nThe table shows the number of people who participate in a blood drive each year for 9 years. Display the data in a line graph. Then describe the change in the number of participants over time.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25009\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-14.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.5 14\" width=\"473\" height=\"68\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-14.png 473w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-14-300x43.png 300w\" sizes=\"(max-width: 473px) 100vw, 473px\" \/><br \/>\nAnswer:<br \/>\nWrite the ordered pair<br \/>\n(1,140)<br \/>\n(2,136)<br \/>\n(3,134)<br \/>\n(4,132)<br \/>\n(5,131)<br \/>\n(6,135)<br \/>\n(7,136)<br \/>\n(8,142)<br \/>\n(9,145)<br \/>\nPlot and label the ordered pairs,then connect the ordered pairs with line segments.<br \/>\nThe number of participants are decreased from year 1 to year 5. then later there is a increase in the participants from year 6 to year 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35569\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-79.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-79\" width=\"650\" height=\"557\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-79.jpg 650w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-79-300x257.jpg 300w\" sizes=\"(max-width: 650px) 100vw, 650px\" \/><\/p>\n<p>Question 80.<br \/>\n<strong>MODELING REAL LIFE<\/strong><br \/>\nThe table shows the amount of carbon dioxide emissions of a country, relative to an environmental standard, each year for 7 years. Display the data in a line graph. Then describe the change in carbon dioxide emissions over time.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25010\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-15.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.5 15\" width=\"481\" height=\"81\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-15.png 481w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-15-300x51.png 300w\" sizes=\"(max-width: 481px) 100vw, 481px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 81.<br \/>\n<strong>PATTERNS<\/strong><br \/>\nThe table shows the total miles run through each of 18 weeks for a marathon training program.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25011\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-16.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.5 16\" width=\"460\" height=\"133\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-16.png 460w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-16-300x87.png 300w\" sizes=\"(max-width: 460px) 100vw, 460px\" \/><br \/>\na. Create a table for the distance run during each week of training.<br \/>\nb. Display the data from part(a) in a line graph.<br \/>\nc. Explain the pattern shown in the graph. (a, b)<br \/>\nAnswer:<\/p>\n<p>Question 82.<br \/>\n<strong>LOGIC<\/strong><br \/>\nTwo points are plotted in the coordinate plane. Plot each of the following ordered pairs in the same coordinate plane.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25012\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.5-17.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.5 17\" width=\"174\" height=\"171\" \/><br \/>\na. P (a, &#8211; b)<br \/>\nb. Q (- a, b)<br \/>\nc. R (c, &#8211; d)<br \/>\nd. S (- c, &#8211; d)<br \/>\ne. T (c, &#8211; a)<br \/>\nf. U (- d, &#8211; b)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35571\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-82.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-82\" width=\"469\" height=\"465\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-82.jpg 469w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-82-300x297.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-82-150x150.jpg 150w\" sizes=\"(max-width: 469px) 100vw, 469px\" \/><br \/>\nExplanation:<br \/>\nFrom the above Graph we know a , b c and d numbers<br \/>\na = -3 ; b =2 ; c=-1 and d = -2<br \/>\nthen now plot the given points.<br \/>\na. P (a, &#8211; b) = (-3, -2)<br \/>\nb. Q (- a, b) = (3 , 2)<br \/>\nc. R (c, &#8211; d) = ( -1, 2)<br \/>\nd. S (- c, &#8211; d) = ( 1, 2)<br \/>\ne. T (c, &#8211; a) =( -1, 3)<br \/>\nf. U (- d, &#8211; b) = (2 , -2)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35572\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-82-a.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-82-a\" width=\"788\" height=\"411\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-82-a.jpg 788w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-82-a-300x156.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-The-Coordinate-Plane-Homework-Practice-8.5-Question-82-a-768x401.jpg 768w\" sizes=\"(max-width: 788px) 100vw, 788px\" \/><\/p>\n<h3>Lesson 8.6 Polygons in the Coordinate Plane<\/h3>\n<p><strong>EXPLORATION 1<\/strong><\/p>\n<p>Drawing Polygons in the Coordinate Plane<br \/>\nWork with a partner.<br \/>\na. Write three ordered pairs that meet the following requirements. Then plot the ordered pairs in a coordinate plane, like the one shown.<br \/>\n\u2022 Two of the ordered pairs have the same x-coordinates.<br \/>\n\u2022 Two of the ordered pairs have the same y-coordinates.<br \/>\n\u2022 Two of the points are in the same quadrant. The other point is in a different quadrant.<br \/>\nAnswer:<br \/>\nThe ordered pairs which follow above conditions are these points (1,2)\u00a0 (1,3)(-1,2)<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-35574\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-EXPLORATION-1.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-EXPLORATION-1\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-EXPLORATION-1.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-EXPLORATION-1-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-EXPLORATION-1-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25013\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.6-1.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.6 1\" width=\"510\" height=\"245\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.6-1.png 510w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.6-1-300x144.png 300w\" sizes=\"(max-width: 510px) 100vw, 510px\" \/><br \/>\nb. The points represent the vertices of a polygon. What conclusions can you make about the polygon?<br \/>\nAnswer:<br \/>\nThe points are joined with line segments. it forms a right angled triangle as shown in above graph.<br \/>\nc. Can you plot another point to form a rectangle? a trapezoid? If so, what measures of the quadrilateral can you calculate?<br \/>\nAnswer:<br \/>\nFrom the below graph by marking point D(-1,3) it forms a Rectangle.<br \/>\nBy marking another point you cant make trapezoid it is not possible.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35575\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-EXPLORATION-1-1.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-EXPLORATION-1\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-EXPLORATION-1-1.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-EXPLORATION-1-1-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-EXPLORATION-1-1-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>You can use ordered pairs to represent vertices of polygons. To draw a polygon in a coordinate plane, plot and connect the vertices.<\/p>\n<p><strong>Try It<\/strong><\/p>\n<p><strong>Draw the polygon with the given vertices in a coordinate plane.<\/strong><br \/>\nQuestion 1.<br \/>\nA (0, 0), B (5, 7), C (4, 3)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35576\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-1.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-1\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-1.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-1-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-1-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 2.<br \/>\nW (4, 4), X (7, 4), Y (2 \\(\\frac{1}{2}\\), &#8211; 2), Z (-\\(\\frac{1}{2}\\), &#8211; 2)<br \/>\nAnswer:<br \/>\nY (2 \\(\\frac{1}{2}\\), &#8211; 2) = Y ( \\(\\frac{5}{2}\\), &#8211; 2) = Y(2.5,-2)<br \/>\nZ (-\\(\\frac{1}{2}\\), &#8211; 2) = Z (-0.5 , -2)<br \/>\nW (4, 4), X (7, 4), Y(2.5,-2) , Z (-0.5 , -2)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35577\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-2.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-2\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-2.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-2-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-2-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p><strong>Find the distance between the points.<\/strong><br \/>\nQuestion 3.<br \/>\n(6, 6.5), (2, 6.5)<br \/>\nAnswer:<br \/>\nd=\u221a((x_2-x_1)\u00b2+(y_2-y_1)\u00b2)<br \/>\nd=\u221a((6-2)\u00b2+(6.5-6.5)\u00b2)<br \/>\nd=\u221a((4)\u00b2+(0)\u00b2)<br \/>\nd=\u221a((4)\u00b2) = 4<\/p>\n<p>Question 4.<br \/>\n(- 4, 2), (- 4, &#8211; 5)<br \/>\nAnswer:<br \/>\nd=\u221a((x_2-x_1)\u00b2+(y_2-y_1)\u00b2)<br \/>\nd=\u221a((-4-(-4))\u00b2+(-5-2)\u00b2)<br \/>\nd=\u221a((0)\u00b2+(-7)\u00b2)<br \/>\nd=\u221a((-7)\u00b2) = \u221a(49) = 7<br \/>\nDistance cant be negative<\/p>\n<p><strong>Self-Assessment for Concepts &amp; Skills<\/strong><\/p>\n<p>Solve each exercise. Then rate your understanding of the success criteria in your journal.<\/p>\n<p><strong>DRAWING A POLYGON<\/strong><br \/>\nDraw the polygon with the given vertices in a coordinate plane.<br \/>\nQuestion 5.<br \/>\nA (- 5, &#8211; 7), B (- 2, 4), C (5, -1)<br \/>\nAnswer:<img loading=\"lazy\" class=\"alignnone size-full wp-image-35578\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-5.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-5\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-5.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-5-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-5-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 6.<br \/>\nD (-\\(\\frac{1}{2}\\), 6), E (3, 1), F (0, &#8211; 4\\(\\frac{1}{2}\\))<br \/>\nAnswer:<br \/>\nD (-\\(\\frac{1}{2}\\), 6) = D(-0.5, 6)<br \/>\nF (0, &#8211; 4\\(\\frac{1}{2}\\))= F (0, &#8211; \\(\\frac{9}{2}\\)) = F( 0 , 4.5)<br \/>\nD(-0.5, 6),E (3, 1), F( 0 , 4.5)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-35579\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-6.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-6\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-6.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-6-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-6-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p><strong>FINDING DISTANCES<\/strong> Find the distance between the points.<br \/>\nQuestion 7.<br \/>\n(2, 7), (2, 9)<br \/>\nAnswer:<br \/>\nPlot the points.<br \/>\nThe points are in same Quadrants and have same x-coordinates. The distance between the points is the difference between the points is the difference of the absolute values of the y coordinate.<br \/>\n|9| &#8211; |7| = 2<br \/>\nSo the distance between the points (2, 7), (2, 9) is 2<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-36179\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-7-1.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-7\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-7-1.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-7-1-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-7-1-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 8.<br \/>\n(- 3, &#8211; 8), (6, &#8211; 8)<br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-36195\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-8.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-8\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-8.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-8-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-8-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><br \/>\nExplanation:<br \/>\nPlot the points.<br \/>\nThe points are in different Quadrants and have same y-coordinates. The distance between the points is the sum\u00a0 of the absolute values of the x coordinate.<br \/>\n|-3| + |6| = 9<br \/>\nSo the distance between the points (- 3, &#8211; 8), (6, &#8211; 8) is 9<\/p>\n<p>Question 9.<br \/>\n<strong>WHICH ONE DOESN\u2019T BELONG?<\/strong><br \/>\nWhich pair of points does not belong with the other three? Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25014\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.6-2.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.6 2\" width=\"323\" height=\"86\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.6-2.png 323w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.6-2-300x80.png 300w\" sizes=\"(max-width: 323px) 100vw, 323px\" \/><br \/>\nAnswer:<br \/>\n(6,-3) and (6,3) is different from other 3 points.<\/p>\n<p>Question 10.<br \/>\nA digital map of your hometown is shown in a coordinate plane in which the coordinates are measured in miles. The map shows your house at (\u22122, \u22127), your school at(5, \u22127), and your friend\u2019s house at (\u22122, 1). How far is your house from your school? How far is your house from your friend\u2019s house?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25015\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.6-3.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.6 3\" width=\"168\" height=\"237\" \/><br \/>\nAnswer:<br \/>\nPlot the points (\u22122, \u22127), (5, \u22127) and (\u22122, 1)<br \/>\nHouse is located at (-2,-7)<br \/>\nFriends house is located at ( &#8211; 2,1)<br \/>\nPlot the points.<br \/>\nThe points are in different Quadrants and have same x-coordinates. The distance between the points is the sum of the absolute values of the y coordinate.<br \/>\n|-7| + |1| = 7 + 1 = 8<br \/>\nSo the distance between the points (-2,-7) (-2,1) is 8<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36199\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-10.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-10\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-10.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-10-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-10-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 11.<br \/>\nYou design a tree house using a coordinate plane in which the coordinates are measured in feet. The vertices of the floor are (\u22122, \u22123), (\u22122, 4), (5, 4), and (5, \u22123). Find the perimeter (in yards) and the area (in square yards) of the floor.<br \/>\nAnswer:<br \/>\nPlots the points (\u22122, \u22123), (\u22122, 4), (5, 4), and (5, \u22123)<br \/>\nThe points are in different Quadrants and have same x-coordinates. The distance between the points is the sum of the absolute values of the y coordinate.<br \/>\n|4| + |-3| = 4 + 3 = 7<br \/>\nSo the distance between the points (\u22122, \u22123), (\u22122, 4), is 7<br \/>\nThe points are in different Quadrants and have same y-coordinates. The distance between the points is the sum of the absolute values of the x coordinate.<br \/>\n|5| + |-2| = 5 + 2 = 7<br \/>\nSo the distance between the points (5, 4), and (\u22122, 4), \u00a0is 7<br \/>\nThe image formed is a Square as its length and breadth are equal<br \/>\nArea of square = s \u00d7 s = 7 \u00d7 7 = 49<br \/>\nPerimeter of square = 4s = 4 \u00d7 7 = 28<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-36203\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-11-1.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-11\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-11-1.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-11-1-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.6-Polygons-in-the-Coordinate-Plane-Question-11-1-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<h3>Polygons in the Coordinate Plane Homework &amp; Practice 8.6<\/h3>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Write an ordered pair corresponding to the point.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25016\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.6-4.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.6 4\" width=\"169\" height=\"167\" \/><br \/>\nQuestion 1.<br \/>\nPoint A<br \/>\nAnswer:<br \/>\n(1,4)<br \/>\nExplanation:<br \/>\nx coordinate is 1<br \/>\ny coordinate is 4<br \/>\nIt is marked in the Quadrant I as X coordinate is Positive and Y coordinate is Positive as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p>Question 2.<br \/>\nPoint B<br \/>\nAnswer:<br \/>\nX coordinate is -2<br \/>\nY coordinate is 2<br \/>\n(-2,2)<br \/>\nExplanation:<br \/>\nIt is marked in the Quadrant I as X coordinate is Positive and Y coordinate is Positive as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p>Question 3.<br \/>\nPoint C<br \/>\nAnswer:<br \/>\nX coordinate is -4<br \/>\nY coordinate is 1<br \/>\n(-4,1)<br \/>\nExplanation:<br \/>\nIt is marked in the Quadrant I as X coordinate is Positive and Y coordinate is Positive as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p>Question 4.<br \/>\nPoint D<br \/>\nAnswer:<br \/>\nX coordinate is 3<br \/>\nY coordinate is -3<br \/>\n(3,-3)<br \/>\nExplanation:<br \/>\nIt is marked in the Quadrant I as X coordinate is Positive and Y coordinate is Positive as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p><strong>Write the percent as a decimal.<\/strong><br \/>\nQuestion 5.<br \/>\n62%<br \/>\nAnswer:<br \/>\n62 \u00f7 100 = 0.62<\/p>\n<p>Question 6.<br \/>\n7%<br \/>\nAnswer:<br \/>\n7 \u00f7 100 = 0.07<\/p>\n<p>Question 7.<br \/>\n133%<br \/>\nAnswer:<br \/>\n133 \u00f7 100 = 1.33<\/p>\n<p>Question 8.<br \/>\n0.45%<br \/>\nAnswer:<br \/>\n0.45 \u00f7 100 = 0.0045<\/p>\n<p>Question 9.<br \/>\nThe tape diagram represents the ratio of the time you spend online to the time your friend spends online. You are online for 6 hours. How many hours does your friend spend online?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25017\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.6-5.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.6 5\" width=\"255\" height=\"81\" \/><br \/>\nAnswer:<br \/>\nNumber of hours i was online = 6<br \/>\nRatio of time spend online by me and my friend = \\(\\frac{3}{4}\\)<br \/>\nTime spend by my friend in online = \\(\\frac{2}{3}\\) = \\(\\frac{6}{x}\\)<br \/>\n6 \u00d7 3 = x \u00d7 2<br \/>\nx = 18 \u00f7 2<br \/>\nx=9<br \/>\nTime spend by my friend in online = 9 Hours.<\/p>\n<p><strong>Concepts, Skills, &amp;Problem Solving<\/strong><\/p>\n<p><strong>STRUCTURE<\/strong> Plot the ordered pairs in a coordinate plane. Then plot another point to form a rectangle. (See Exploration 1, p. 377.)<br \/>\nQuestion 10.<br \/>\n(3, 2), (3, 6), (- 5, 2)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36207\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-10.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-10\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-10.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-10-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-10-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><br \/>\nPlot the points (3, 2), (3, 6), (- 5, 2)<br \/>\nIn order to form a rectangle we need to mark (-5,6) as shown in the above graph .<\/p>\n<p>Question 11.<br \/>\n(- 4, 7), (- 1, 7), (- 4, &#8211; 2)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36209\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-11.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-11\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-11.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-11-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-11-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><br \/>\nExplanation:<br \/>\nPlot the points (- 4, 7), (- 1, 7), (- 4, &#8211; 2)<br \/>\nIn order to form a rectangle we need to mark (-1,-2) as shown in the above graph .<\/p>\n<p><strong>DRAWING A POLYGON<\/strong> Draw the polygon with the given vertices in a coordinate plane.<br \/>\nQuestion 12.<br \/>\nA (4, 7), B (6, 2), C(0, 0)<br \/>\nAnswer:<br \/>\nPlot the points A (4, 7), B (6, 2), C(0, 0)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36210\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-12.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-12\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-12.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-12-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-12-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 13.<br \/>\nD (\\(\\frac{1}{2}\\), 2), E (- 5, 5), F (- 4, 1)<br \/>\nAnswer:<br \/>\nD (\\(\\frac{1}{2}\\), 2) = D (0.5 , 2)<br \/>\n<span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">Plot the points D (0.5 , 2), E (- 5, 5), F (- 4, 1)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36211\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-13.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-13\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-13.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-13-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-13-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/span><\/p>\n<p>Question 14.<br \/>\nG (1\\(\\frac{1}{2}\\), 4), H(1\\(\\frac{1}{2}\\), &#8211; 8), J (5, &#8211; 8), K (5, 4)<br \/>\nAnswer:<br \/>\nG (1\\(\\frac{1}{2}\\), 4)= G (\\(\\frac{3}{2}\\), 4) = G ( 1.5 , 4)<br \/>\nH(1\\(\\frac{1}{2}\\), -8)= H(\\(\\frac{3}{2}\\), -8) = H ( 1.5 , -8)<br \/>\nPlot the points G ( 1.5 , 4), H ( 1.5 , -8), J (5, &#8211; 8), K (5, 4)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36215\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-14.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-14\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-14.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-14-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-14-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 15.<br \/>\nL (- 3, 2), M (- 3, 5), N (2, 2), P (2, &#8211; 1)<br \/>\nAnswer:<span style=\"font-size: 16px; font-style: normal; font-weight: 400;\"><br \/>\nL (- 3, 2), M (- 3, 5), N (2, 2), P (2, &#8211; 1)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36217\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-15.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-15\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-15.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-15-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-15-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><br \/>\n<\/span><\/p>\n<p>Question 16.<br \/>\nQ (0, 4), R (- 3, 8), S (- 7, 4), T (- 1, &#8211; 2), U (7, &#8211; 2)<br \/>\nAnswer:<br \/>\nPlot the points Q (0, 4), R (- 3, 8), S (- 7, 4), T (- 1, &#8211; 2), U (7, &#8211; 2)<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-36218\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-16.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-16\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-16.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-16-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-16-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 17.<br \/>\nV(- 4, &#8211; 2), W(- 3, 3\\(\\frac{1}{2}\\)), X (2, 3\\(\\frac{1}{2}\\)), Y (4, 0), Z (1, &#8211; 4)<br \/>\nAnswer:<br \/>\nW(- 3, 3\\(\\frac{1}{2}\\))= W(- 3, \\(\\frac{7}{2}\\)) = W(-3, 3.5)<br \/>\nX (2, 3\\(\\frac{1}{2}\\))= X (2, \\(\\frac{7}{2}\\)) = X(2, 3.5)<br \/>\nPlot the points V(- 4, &#8211; 2),W(-3, 3.5), X(2, 3.5), Y (4, 0), Z (1, &#8211; 4)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36237\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-17.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-17\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-17.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-17-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-17-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 18.<br \/>\n<strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend draws a triangle with vertices A(3, \u22121), B (4, 3), and C (\u22121, 2). Is your friend correct? Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25018\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.6-6.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.6 6\" width=\"159\" height=\"151\" \/><br \/>\nAnswer:<br \/>\nNo<br \/>\nExplanation:<br \/>\nAs per the above graph the point A drawn as (3,1) not (3,-1).The Point A is drawn in Quadrant I, Here the x-coordinate is positive and y-coordinate is also positive.<br \/>\nThe point (3,-1) will be represented in Quadrant IV, Here the x-coordinate is positive and y-coordinate is also negative.<\/p>\n<p><strong>FINDING DISTANCES<\/strong> Find the distance between the points.<br \/>\nQuestion 19.<br \/>\n(4, 6), (9, 6)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36239\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-19.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-19\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-19.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-19-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-19-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Answer:<br \/>\nPlot the points.<br \/>\nThe points are in same Quadrants and have same y-coordinates. The distance between the points is the difference between the points is the difference of the absolute values of the x coordinate.<br \/>\n|9| &#8211; |4| = 9-4=5<br \/>\nSo the distance between the points (4, 6), (9, 6) is 5<\/p>\n<p>Question 20.<br \/>\n(5, 10), (5, 4)<br \/>\nAnswer:<br \/>\nPlot the points.<br \/>\nThe points are in same Quadrants and have same x-coordinates. The distance between the points is the difference between the points is the difference of the absolute values of the y coordinate.<br \/>\n|10| &#8211; |4| = 2<br \/>\nSo the distance between the points (5, 10), (5, 4) is 6<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36240\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-20.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-20\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-20.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-20-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-20-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 21.<br \/>\n(3, 0), (3, &#8211; 2)<br \/>\nAnswer:<\/p>\n<p>Plot the points.<br \/>\nThe points are in same Quadrants and have same x-coordinates. The distance between the points is the Sum of the absolute values of the y coordinate.<br \/>\n|0| +\u00a0 |-2| = 2<br \/>\nSo the distance between the points (3, 0), (3, &#8211; 2) is 2<\/p>\n<p>Question 22.<br \/>\n(5, &#8211; 2), (- 6, &#8211; 2)<br \/>\nAnswer:<\/p>\n<p>Explanation:<br \/>\nPlot the points.<br \/>\nThe points are in different Quadrants and have same y-coordinates. The distance between the points is the sum\u00a0 of the absolute values of the x coordinate.<br \/>\n|5| + |-6| = 5 + 6=11<br \/>\nSo the distance between the points (5, &#8211; 2), (- 6, &#8211; 2) is 11<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-36242\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-22-1.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-22\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-22-1.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-22-1-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-22-1-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 23.<br \/>\n(- 1, 12), (- 1, &#8211; 3)<br \/>\nAnswer:<br \/>\nPlot the points.<br \/>\nThe points are in different Quadrants and have same x-coordinates. The distance between the points is the Sum of the absolute values of the y coordinate.<br \/>\n|12| +\u00a0 |-3| = 12 + 3 =15<br \/>\nSo the distance between the points (- 1, 12), (- 1, &#8211; 3) is 15<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-36243\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-23.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-23\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-23.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-23-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-23-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 24.<br \/>\n(- 7, 8), (7, 8)<br \/>\nAnswer:<br \/>\nPlot the points.<br \/>\nThe points are in different Quadrants and have same y-coordinates. The distance between the points is the sum\u00a0 of the absolute values of the x coordinate.<br \/>\n|-7| + |7| = 7 + 7 = 14<br \/>\nSo the distance between the points (- 7, 8), (7, 8) is 14<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36244\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-24.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-24\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-24.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-24-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-24-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 25.<br \/>\n(- 6, 5), (- 6, &#8211; 3.5)<br \/>\nAnswer:<\/p>\n<p>Plot the points.<br \/>\nThe points are in different Quadrants and have same x-coordinates. The distance between the points is the Sum of the absolute values of the y coordinate.<br \/>\n|5| +\u00a0 |-3.5| = 5 + 3.5 = 8.5<br \/>\nSo the distance between the points (- 6, 5), (- 6, &#8211; 3.5) is 8.5<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-36245\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-25.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-25\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-25.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-25-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-25-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 26.<br \/>\n(- 2.5, 3), (5, 3)<br \/>\nAnswer:<br \/>\nPlot the points.<br \/>\nThe points are in different Quadrants and have same y-coordinates. The distance between the points is sum of the absolute values of the x coordinate.<br \/>\n|-2.5| + |5| = 2.5 + 5 = 7.5<br \/>\nSo the distance between the points (- 2.5, 3), (5, 3) is 7.5<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-36246\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-26.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-26\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-26.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-26-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-26-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 27.<br \/>\n(4.5, &#8211; 1.5), (4.5, 7.25)<br \/>\nAnswer:<br \/>\nPlot the points.<br \/>\nThe points are in different Quadrants and have same x-coordinates. The distance between the points is the sum of the absolute values of the y coordinate.<br \/>\n|-1.5| + |7.25| = 1.5 + 7.25 = 8.75<br \/>\nSo the distance between the points (4.5, &#8211; 1.5), (4.5, 7.25)<span style=\"font-size: 16px;\"> is 8.75<\/span><\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-36247\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-27.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-27\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-27.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-27-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-27-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p><strong>GEOMETRY<\/strong> Find the perimeter and the area of the polygon with the given vertices.<br \/>\nQuestion 28.<br \/>\nC (1, 1), D (1, 4), E (4, 4), F (4, 1)<br \/>\nAnswer:<br \/>\nThe polygon formed is square .<br \/>\nThe area of the square = s \u00d7 s = 3 \u00d7 3 = 9<br \/>\nThe perimeter of the square = 4 s = 4 \u00d7 3 = 12<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36248\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-28.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-28\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-28.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-28-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-28-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>Question 29.<br \/>\nJ (- 1, &#8211; 2), K(- 6, &#8211; 2), L (- 6, &#8211; 8), M (- 1, &#8211; 8)<br \/>\nAnswer:<br \/>\nAfter plotting the points the polygon formed is Rectangle<br \/>\nArea of Rectangle = length \u00d7 breadth = 6 \u00d7 5 = 30<br \/>\nPerimeter of Rectangle = 2 (length + breadth) = 2 ( 6 + 5) = 22<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36249\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-29.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-29\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-29.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-29-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-29-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 30.<br \/>\nN (- 4, 2), P (5, 2), Q (5, 5), R (- 4, 5)<br \/>\nAnswer:<br \/>\nAfter plotting the points the polygon formed is Rectangle<br \/>\nArea of Rectangle = length \u00d7 breadth = 9 \u00d7 3 = 27<br \/>\nPerimeter of Rectangle = 2 (length + breadth) = 2 ( 9 + 3) = 24<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36250\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-30.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-30\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-30.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-30-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-30-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 31.<br \/>\nS (- 11, &#8211; 8), T (- 11, 0), U (0, 0), V (0, &#8211; 8)<br \/>\nAnswer:<br \/>\nAfter plotting the points the polygon formed is Rectangle<br \/>\nArea of Rectangle = length \u00d7 breadth = 11 \u00d7 8 = 88<br \/>\nPerimeter of Rectangle = 2 (length + breadth) = 2 ( 11 + 8) = 38<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36251\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-31.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-31\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-31.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-31-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-31-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 32.<br \/>\n<strong>MODELING REAL LIFE<\/strong><br \/>\nThe coordinates of several stars drawn in a coordinate plane are (8, 0), (7, \u22123), (3, \u22122.5), (3.5, 0.5), (\u22121, 3), (\u22123, 5), and (\u22127, 6). Plot the locations of the stars. Draw a constellation by connecting the points.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25019\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.6-7.1.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.6 7.1\" width=\"236\" height=\"244\" \/><br \/>\nAnswer:<br \/>\nPlot the given points (8, 0), (7, \u22123), (3, \u22122.5), (3.5, 0.5), (\u22121, 3), (\u22123, 5), and (\u22127, 6).<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36252\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-32.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-32\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-32.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-32-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-32-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 33.<br \/>\n<strong>STRUCTURE<\/strong><br \/>\nThe coordinate plane shows three vertices of a parallelogram. Find two possible points that could represent the fourth vertex.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25020\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.6-7.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.6 7\" width=\"179\" height=\"170\" \/><br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36253\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-33.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-33\" width=\"332\" height=\"319\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-33.jpg 332w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-33-300x288.jpg 300w\" sizes=\"(max-width: 332px) 100vw, 332px\" \/><br \/>\nThe fourth vertex is Z(-5,-3) as shown in the above graph.<\/p>\n<p>Question 34.<br \/>\n<strong>PROBLEM SOLVING<\/strong><br \/>\nPolygon JKLMNP represents a bus route. Each grid square represents 9 square miles. What is the shortest distance, in miles, from Station P to Station L using the bus route? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25021\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.6-8.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.6 8\" width=\"178\" height=\"171\" \/><br \/>\nAnswer:<br \/>\nShortest distance between L to P is from PNML = 9 \u00d7 9 = 81 square miles<br \/>\n(Total grids from PNML = 9)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36254\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-34.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-34\" width=\"332\" height=\"319\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-34.jpg 332w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-34-300x288.jpg 300w\" sizes=\"(max-width: 332px) 100vw, 332px\" \/><\/p>\n<p>Question 35.<br \/>\n<strong>MODELING REAL LIFE<\/strong><br \/>\nIn a topographical map of a city, the vertices of the city limits are A(\u22127, 3), B (1, 3), C (1, \u22124), D (\u22123, \u22121.5), and E (\u22127, \u22121.5). The coordinates are measured in miles. What is the area of the city?<br \/>\nAnswer:<br \/>\nPlot the given points A(\u22127, 3), B (1, 3), C (1, \u22124), D (\u22123, \u22121.5), and E (\u22127, \u22121.5)<br \/>\nArea of city = area of rectangle ABEF + area of triangle CDF<br \/>\nArea of Rectangle ABEF = length \u00d7 breadth = 8 \u00d7 4.5 = 36<br \/>\nArea of triangle CDF = (Height \u00d7 base) \u00f7 2 =(4 \u00d7 2.5) \u00f7 2 = 5<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36255\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-35.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-35\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-35.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-35-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-35-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 36.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nA map shows that the vertices of a backyard are W (\u2212100, \u221270), X (\u2212100, 0), Y (0, 0), and Z (\u221260, \u221270). The coordinates are measured in feet. The line segment XZseparates the backyard into a lawn and a garden. How many times larger is the lawn than the garden?<br \/>\nAnswer:<br \/>\nPlot the given points W (\u2212100, \u221270), X (\u2212100, 0), Y (0, 0), and Z (\u221260, \u221270).<br \/>\nFrom the graph we can say that the 2 times larger the lawn than a garden.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36256\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-36.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-36\" width=\"423\" height=\"480\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-36.jpg 423w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-36-264x300.jpg 264w\" sizes=\"(max-width: 423px) 100vw, 423px\" \/><\/p>\n<p><strong>OPEN-ENDED<\/strong> Draw a polygon with the given conditions in a coordinate plane where the vertices are not all in the same quadrant.<br \/>\nQuestion 37.<br \/>\na square with a perimeter of 20 units<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36257\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-37.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-37\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-37.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-37-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-37-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 38.<br \/>\na rectangle with a perimeter of 18 units<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36258\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-38.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-38\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-38.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-38-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-38-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 39.<br \/>\na rectangle with an area of 24 units<sup>2<\/sup><br \/>\nAnswer:<br \/>\nAfter plotting the points the polygon formed is Rectangle<br \/>\nArea of Rectangle = length \u00d7 breadth = 6 \u00d7 4 = 24 units<sup>2<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36259\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-39.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-39\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-39.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-39-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-39-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/sup><\/p>\n<p>Question 40.<br \/>\na triangle with an area of 15 units<sup>2<\/sup><br \/>\nAnswer:<br \/>\nAfter plotting the points in the graph<br \/>\nArea of triangle = (Height \u00d7 base) \u00f7 2 =(6 \u00d7 5) \u00f7 2 = 15 units<sup>2<\/sup><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36260\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-40.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-40\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-40.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-40-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-40-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 41.<br \/>\n<strong>PRECISION<\/strong><br \/>\nThe vertices of a rectangle are (1, 0), (1, a), (5, a), and (5, 0). The vertices of a parallelogram are (1, 0), (2, b), (6, b), and (5, 0). The values of a and b are both positive and a &gt; b. Which polygon has a greater area? Explain.<br \/>\nAnswer:<br \/>\nThe vertices of a rectangle are A(1, 0), B(1, a), C(5, a), and D(5, 0).<br \/>\nAfter plotting the above points in the graph we consider a = 3 to form a rectangle.<br \/>\nThe vertices of a parallelogram are A(1, 0), E(2, b), F(6, b), and D(5, 0).<br \/>\nAfter plotting the above points in the graph we consider b = 2 to form a parallelogram<br \/>\nThe area of the rectangle is greater than area of the parallelogram which can be easily noticed from the graph .<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36261\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-41.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-41\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-41.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-41-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Polygons-in-the-Coordinate-Plane-Homework-Practice-8.6-Question-41-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<h3>Lesson 8.7 Writing and Graphing Inequalities<\/h3>\n<p><strong>EXPLORATION 1<\/strong><\/p>\n<p>Understanding Inequality Statements<br \/>\nWork with a partner. Create a number line on the floor with both positive and negative integers.<br \/>\na. For each statement, stand at a number on your number line that makes the statement true. On what other numbers can you stand?<br \/>\n\u2022Class starts more than 3 minutes late.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25022\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-1.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.7 1\" width=\"123\" height=\"162\" \/><br \/>\nAnswer:<br \/>\nc &gt; 3<br \/>\nExplanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36849\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Exploration-1.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Exploration-1\" width=\"601\" height=\"83\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Exploration-1.jpg 601w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Exploration-1-300x41.jpg 300w\" sizes=\"(max-width: 601px) 100vw, 601px\" \/><br \/>\nabove 3 all points are solutions for above inequality statement.<br \/>\n\u2022 You need at least 3 peaches for a recipe.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25023\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-2.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.7 2\" width=\"185\" height=\"132\" \/><br \/>\nAnswer:<br \/>\nn \u00a0\u2265 3.<br \/>\nExplanation:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36850\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Exploration-1-a-2.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Exploration-1-a-2\" width=\"610\" height=\"66\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Exploration-1-a-2.jpg 610w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Exploration-1-a-2-300x32.jpg 300w\" sizes=\"(max-width: 610px) 100vw, 610px\" \/><br \/>\nHere the mark starts at 3 the point is closed circle which means here 3 is also included .<br \/>\n3 and above will be the solutions for the inequality equations.<\/p>\n<p>\u2022 The temperature is at most 3 degrees Celsius.<br \/>\nAnswer:<br \/>\nt \u2264\u00a03<br \/>\nExplanation:<br \/>\nHere in the number line we observe that a circle is marked at point 3 it means it is not included and less than 3 are the solutions of the inequality equations<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36851\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Exploration-1-a-3.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Exploration-1-a-3\" width=\"596\" height=\"65\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Exploration-1-a-3.jpg 596w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Exploration-1-a-3-300x33.jpg 300w\" sizes=\"(max-width: 596px) 100vw, 596px\" \/><br \/>\n\u2022 After playing a video game for 5 minutes, you have fewer than 3 points.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25024\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-3.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.7 3\" width=\"609\" height=\"187\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-3.png 609w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-3-300x92.png 300w\" sizes=\"(max-width: 609px) 100vw, 609px\" \/><br \/>\nAnswer:<br \/>\nx+5 &lt; 3<br \/>\nb. How can you represent the solutions of each statement in part(a) on a number line?<br \/>\nAnswer:<br \/>\nAn Inequality is a mathematical sentence that compares expressions. It contains symbols like &lt; , &gt; ,\u2264, \u2265.<br \/>\nbased on the phrases the symbol is used and expressions are written .<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-25025\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-4.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.7 4\" width=\"183\" height=\"149\" \/><\/p>\n<p>An inequality is a mathematical sentence that compares expressions. It contains the symbols &lt;, &gt;, \u2264, or \u2265. To write a word sentence as an inequality, look for the following phrases to determine where to place the inequality symbol.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25026\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-5.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.7 5\" width=\"497\" height=\"161\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-5.png 497w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-5-300x97.png 300w\" sizes=\"(max-width: 497px) 100vw, 497px\" \/><\/p>\n<p><strong>Try It<\/strong><\/p>\n<p><strong>Write the word sentence as an inequality.<\/strong><br \/>\nQuestion 1.<br \/>\nA number n is greater than 1.<br \/>\nAnswer:<br \/>\nA number n is greater than 1<br \/>\nn\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 &gt;\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a01<br \/>\nAn inequality is n&gt;1<\/p>\n<p>Question 2.<br \/>\nTwice a number p is fewer than 7.<br \/>\nAnswer:<br \/>\nTwice a number p is fewer than 7.<br \/>\n2p\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 &lt;\u00a0 \u00a0 \u00a0 \u00a0 7<br \/>\nAn inequality equation is 2p&gt;7<\/p>\n<p>Question 3.<br \/>\nA number w minus 3 is less than or equal to 10.<br \/>\nAnswer:<br \/>\nAn inequality equation is w-3 \u2264 10<\/p>\n<p>Question 4.<br \/>\nA number z divided by 2 is at least \u22126.<br \/>\nAnswer:<br \/>\nAn inequality equation is z \u00f7 2\u00a0 \u2265 -6<\/p>\n<p>Tell whether 3 is a solution of the inequality.<br \/>\nQuestion 5.<br \/>\nb + 4 &lt; 6<br \/>\nAnswer:<br \/>\nb + 4 &lt; 6<br \/>\nb &lt; 6 &#8211; 4<br \/>\nb &lt; 2<br \/>\nNo as b is less than 2<\/p>\n<p>Question 6.<br \/>\n9 &#8211; n \u2265 6<br \/>\nAnswer:<br \/>\n9 &#8211; n \u2265 6<br \/>\n9 + 6 \u2265 n<br \/>\n15 \u2265 n<\/p>\n<p>Question 7.<br \/>\n10 \u2264 18 \u00f7 x<br \/>\nAnswer:<br \/>\n10 \u2264 18 \u00f7 x = x \u2264 18 \u00f7 10<br \/>\nx \u2264 1.8<\/p>\n<p><strong>Graph the inequality on a number line.<\/strong><br \/>\nQuestion 8.<br \/>\na &lt; 4<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36853\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-8-1.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-8\" width=\"588\" height=\"81\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-8-1.jpg 588w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-8-1-300x41.jpg 300w\" sizes=\"(max-width: 588px) 100vw, 588px\" \/><br \/>\nExplanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 9. f \u2264 7<br \/>\nAnswer:<br \/>\n<a href=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-9-1.bmp\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-36855\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-9-1.bmp\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-9\" width=\"593\" height=\"69\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-9-1.bmp 593w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-9-1-300x35.jpg 300w\" sizes=\"(max-width: 593px) 100vw, 593px\" \/><\/a><br \/>\nExplanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 10. n &gt; 0<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36856\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-10.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-10\" width=\"599\" height=\"80\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-10.jpg 599w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-10-300x40.jpg 300w\" sizes=\"(max-width: 599px) 100vw, 599px\" \/><br \/>\nExplanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 11.<br \/>\n&#8211; 3 \u2264 p<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36857\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-11.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-11\" width=\"593\" height=\"61\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-11.jpg 593w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-11-300x31.jpg 300w\" sizes=\"(max-width: 593px) 100vw, 593px\" \/><br \/>\nExplanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p><strong>Self-Assessment for Concepts &amp; Skills<\/strong><\/p>\n<p>Solve each exercise. Then rate your understanding of the success criteria in your journal.<\/p>\n<p>Question 12.<br \/>\n<strong>DIFFERENT WORDS, SAME QUESTION<\/strong><br \/>\nWhich is different? Write \u201cboth\u201d inequalities.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25027\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-6.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.7 6\" width=\"432\" height=\"75\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-6.png 432w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-6-300x52.png 300w\" sizes=\"(max-width: 432px) 100vw, 432px\" \/><br \/>\nAnswer:<br \/>\nStatement I &#8211; n \u2264 3<br \/>\nStatement II -n \u2264 3<br \/>\nStatement III -n \u2264 3<br \/>\nStatement IV-n \u2265 3<span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">\u00a0\u2264<\/span><\/p>\n<p><strong>CHECKING SOLUTIONS<\/strong> Tell whether the given value is a solution of the inequality.<br \/>\nQuestion 13.<br \/>\np + 5 \u2264 12; p = 6<br \/>\nAnswer:<br \/>\np + 5 \u2264 12<br \/>\nput p = 6<br \/>\n6 + 5 = 11<br \/>\n11 \u2264 12 is true<br \/>\nso the given value is the solution of the inequality .<\/p>\n<p>Question 14.<br \/>\nw &#8211; 12 &lt; 4; w = 16<br \/>\nAnswer:<br \/>\nw &#8211; 12 &lt; 4<br \/>\nput w = 16<br \/>\n16 &#8211; 12 =4<br \/>\n4 &lt; 4 is not true<br \/>\nso the given value is not a solution for the inequality .<\/p>\n<p><strong>GRAPHING AN INEQUALITY<\/strong> Graph the inequality on a number line.<br \/>\nQuestion 15.<br \/>\nn &gt; 8<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36858\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-15.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-15\" width=\"595\" height=\"51\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-15.jpg 595w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-15-300x26.jpg 300w\" sizes=\"(max-width: 595px) 100vw, 595px\" \/><br \/>\nExplanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 16.<br \/>\nq \u2264 &#8211; 4<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36859\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-16.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-16\" width=\"601\" height=\"73\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-16.jpg 601w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-16-300x36.jpg 300w\" sizes=\"(max-width: 601px) 100vw, 601px\" \/><\/p>\n<p>Explanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 17.<br \/>\n5 &lt; s<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36860\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-17.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-17\" width=\"596\" height=\"59\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-17.jpg 596w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.7-Writing-Graphing-Inequalities-Question-17-300x30.jpg 300w\" sizes=\"(max-width: 596px) 100vw, 596px\" \/><br \/>\nExplanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 18.<br \/>\nTo obtain a babysitting license, you still need to train for at least 6 hours and 45 minutes. Describe the amounts of time that you can train and still not obtain a license.<br \/>\nAnswer:<br \/>\nTime required to train for babysitting license \u2264 6 hours 45 minutes.<\/p>\n<p>Question 19.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nThe farthest away a drone can fly is 200 meters. A building is 380 meters tall. You control the drone from a floor that is halfway to the top of the building. Can the drone reach the top of the building? Explain your reasoning.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25028\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-7.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.7 7\" width=\"189\" height=\"122\" \/><br \/>\nAnswer:<br \/>\nDistance a drone can fly = 200 metres<br \/>\nHeight of a building = 380 metres tall<br \/>\nfloor height = half of the building = 380 \u00f7 2 = 190 metres.<br \/>\nDistance a drone can travel from floor = 190 metres + 200 = 390 metres.<br \/>\n390 &gt; Distance of a building .<br \/>\n390 &gt; 380<br \/>\nIt means that drone can reach the top of the building .<\/p>\n<p>Question 20.<br \/>\nEach visit to a water park costs $19.95. An annual pass to the park costs $89.95. Write an inequality that represents the numbers of times you would need to visit the park for the pass to be a better deal.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25029\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-8.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.7 8\" width=\"166\" height=\"254\" \/><br \/>\nAnswer:<br \/>\nCost of water park for 1 visit= $19.95<br \/>\nCost of Annual pass to water park = $89.95.<br \/>\nNumber of visits in Annual pass = $89.95 \u00f7 $19.95 = 4.5<br \/>\nNumber of visits = n<br \/>\nn \u2265 4.5<\/p>\n<h3>Writing and Graphing Inequalities Homework &amp; Practice 8.7<\/h3>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Find the distance between the points.<\/strong><br \/>\nQuestion 1.<br \/>\n(2, 8), (6, 8)<br \/>\nAnswer:<img loading=\"lazy\" class=\"alignnone size-full wp-image-36861\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-1.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-1\" width=\"818\" height=\"546\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-1.jpg 818w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-1-300x200.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-1-768x513.jpg 768w\" sizes=\"(max-width: 818px) 100vw, 818px\" \/><\/p>\n<p>Explanation:<br \/>\nPlot the points.<br \/>\nThe points are in same Quadrants and have same y-coordinates. The distance between the points is the difference between the points is the difference of the absolute values of the x coordinate.<br \/>\n|6| &#8211; |2| = 6 &#8211; 2 = 4<br \/>\nSo the distance between the points (2, 8), (6, 8) is 4<\/p>\n<p>Question 2.<br \/>\n(5, 9), (7, 9)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36862\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-2.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-2\" width=\"818\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-2.jpg 818w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-2-300x209.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-2-768x534.jpg 768w\" sizes=\"(max-width: 818px) 100vw, 818px\" \/><br \/>\nExplanation:<br \/>\nPlot the points.<br \/>\nThe points are in same Quadrants and have same y-coordinates. The distance between the points is the difference between the points is the difference of the absolute values of the x coordinate.<br \/>\n|7| &#8211; |5| = 7- 5 = 2<br \/>\nSo the distance between the points (5, 9), (7, 9) is 2<\/p>\n<p>Question 3.<br \/>\n(- 3, 6), (- 3, &#8211; 2)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36864\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-3-1.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-3\" width=\"818\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-3-1.jpg 818w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-3-1-300x209.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-3-1-768x534.jpg 768w\" sizes=\"(max-width: 818px) 100vw, 818px\" \/><\/p>\n<p>Explanation:<br \/>\nPlot the points.<br \/>\nThe points are in different Quadrants and have same X-coordinates. The distance between the points is the sum\u00a0 of the absolute values of the x coordinate.<br \/>\n|6| + |-3| = 6 + 3 = 9<br \/>\nSo the distance between the points (- 3, 6), (- 3, &#8211; 2) is 9<\/p>\n<p><strong>Solve the equation. Check your solution<\/strong><br \/>\nQuestion 4.<br \/>\nx + 3 = 12<br \/>\nAnswer:<br \/>\nx + 3 = 12<br \/>\nx = 12 &#8211; 3<br \/>\nx = 9<br \/>\nsolution is 9<\/p>\n<p>Question 5.<br \/>\nx &#8211; 6 = 8<br \/>\nAnswer:<br \/>\nx &#8211; 6 = 8<br \/>\nx = 8 + 6<br \/>\nx = 14<br \/>\nsolution is 14<\/p>\n<p>Question 6.<br \/>\n\\(\\frac{t}{12}\\) = 4<br \/>\nAnswer:<br \/>\n\\(\\frac{t}{12}\\) = 4<br \/>\nt = 4 \u00d7 12<br \/>\nt = 48<\/p>\n<p>Question 7.<br \/>\n8x = 72<br \/>\nAnswer:<br \/>\n8x = 72<br \/>\nx = 72 \u00f7 8<br \/>\nx = 9<\/p>\n<p>Question 8.<br \/>\nA stack of boards is 24 inches high. \ue030e thickness of each board is \\(\\frac{3}{8}\\) inch. How many boards are in the stack?<br \/>\nA. \\(\\frac{1}{9}\\)<br \/>\nB. \\(\\frac{1}{6}\\)<br \/>\nC. 9<br \/>\nD. 64<br \/>\nAnswer:<br \/>\nHeight of boards = 24 inches<br \/>\nThickness of each board = \\(\\frac{3}{8}\\) = 0.375 inch<br \/>\nNumber of boards in stack = 24\u00a0 \u00f7 0.375 = 64 boards<br \/>\nOption D is the answer.<\/p>\n<p><strong>Find the area of the parallelogram.<\/strong><br \/>\nQuestion 9.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25030\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-9.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.7 9\" width=\"172\" height=\"105\" \/><br \/>\nAnswer:<br \/>\nHeight of the Parallelogram = 3 inches<br \/>\nBase of the Parallelogram = 4 inches.<br \/>\nArea of the Parallelogram =\u00a0 base \u00d7 height = 3 \u00d7 4 =12 inches.<\/p>\n<p>Question 10.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25031\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-10.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.7 10\" width=\"141\" height=\"108\" \/><br \/>\nAnswer:<br \/>\nHeight of the Parallelogram = 5 m<br \/>\nBase of the Parallelogram = 7 m<br \/>\nArea of the Parallelogram =\u00a0 base \u00d7 height = 7 \u00d7 5 = 35 metres<\/p>\n<p>Question 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25032\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-11.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.7 11\" width=\"170\" height=\"99\" \/><br \/>\nAnswer:<br \/>\nHeight of the Parallelogram = 15 m<br \/>\nBase of the Parallelogram = 8.5 m<br \/>\nArea of the Parallelogram =\u00a0 base \u00d7 height = 15 \u00d7 8.5 = 127.5 sq metres<\/p>\n<p><strong>Concepts, Skills, &amp; Problem Solving<\/strong><\/p>\n<p><strong>UNDERSTANDING INEQUALITY STATEMENTS<\/strong> Choose a number that makes the statement true. What other numbers make the statement true? (See Exploration 1, p. 383.)<\/p>\n<p>Question 12.<br \/>\nYou are less than 3 miles from home.<br \/>\nAnswer:<br \/>\nY &lt; 3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36865\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-12.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-12\" width=\"592\" height=\"60\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-12.jpg 592w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-12-300x30.jpg 300w\" sizes=\"(max-width: 592px) 100vw, 592px\" \/><\/p>\n<p>Explanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 13.<br \/>\nYou need at least $5 for lunch.<br \/>\nAnswer:<br \/>\nY \u00a0\u2265 5<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36866\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-13.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-13\" width=\"634\" height=\"97\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-13.jpg 634w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-13-300x46.jpg 300w\" sizes=\"(max-width: 634px) 100vw, 634px\" \/><br \/>\nExplanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 14.<br \/>\nYou buy more than 2 movie tickets.<br \/>\nAnswer:<br \/>\nY &gt; 2<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36867\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-14.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-14\" width=\"627\" height=\"82\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-14.jpg 627w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-14-300x39.jpg 300w\" sizes=\"(max-width: 627px) 100vw, 627px\" \/><br \/>\nExplanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 15.<br \/>\nA game lasts no more than 10 minutes.<br \/>\nAnswer:<br \/>\nG \u2264 10<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36868\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-15.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-15\" width=\"641\" height=\"99\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-15.jpg 641w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-15-300x46.jpg 300w\" sizes=\"(max-width: 641px) 100vw, 641px\" \/><br \/>\nExplanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p><strong>WRITING INEQUALITIES<\/strong> Write the word sentence as an inequality.<br \/>\nQuestion 16.<br \/>\nA number k is less than 10.<br \/>\nAnswer:<br \/>\nk &lt; 10<\/p>\n<p>Question 17.<br \/>\nA number a is more than 6.<br \/>\nAnswer:<br \/>\nn &gt; 6<\/p>\n<p>Question 18.<br \/>\nA number z is fewer than \\(\\frac{3}{4}\\).<br \/>\nAnswer:<br \/>\nz &lt; \\(\\frac{3}{4}\\)<\/p>\n<p>Question 19.<br \/>\nA number b is at least \u22123.<br \/>\nAnswer:<br \/>\nb \u2265 -3<\/p>\n<p>Question 20.<br \/>\nOne plus a number y is no more than \u221213.<br \/>\nAnswer:<br \/>\n1 + Y \u2264 &#8211; 13<\/p>\n<p>Question 21.<br \/>\nA number x divided by 3 is at most 5.<br \/>\nAnswer:<br \/>\nx \u00f7 3 \u2264 5<\/p>\n<p><strong>CHECKING SOLUTIONS<\/strong> Tell whether the given value is a solution of the inequality.<br \/>\nQuestion 22.<br \/>\nx &#8211; 1 \u2264 7; x = 6<br \/>\nAnswer:<br \/>\nx &#8211; 1 \u2264 7<br \/>\nput x =6<br \/>\n6 &#8211; 1 = 5<br \/>\n5 \u2264 7<br \/>\nabove statement is True<br \/>\nYes, the given value is a solution of the inequality.<\/p>\n<p>Question 23.<br \/>\ny + 5 &lt; 13; y = 17<br \/>\nAnswer:<br \/>\ny + 5 &lt; 13<br \/>\nput = 17<br \/>\n17 + 5 = 22<br \/>\n22 &lt; 13<br \/>\nabove statement is wrong<br \/>\nSo, the given value is not a solution of the inequality.<\/p>\n<p>Question 24. 3z &gt; 6; z = 3<br \/>\nAnswer:<br \/>\n3z &gt; 6<br \/>\nput z = 3<br \/>\n3 \u00d7 3 = 9<br \/>\n9 &gt; 6<br \/>\nabove statement is True<br \/>\nSo, the given value is not a solution of the inequality.<\/p>\n<p>Question 25.<br \/>\n6 \u2264 \\(\\frac{b}{2}\\); b = 10<br \/>\nAnswer:<br \/>\n6 \u2264 \\(\\frac{b}{2}\\)<br \/>\n6 \u2264 \\(\\frac{10}{2}\\)<br \/>\n6 \u2264 5<br \/>\nThe above statement is wrong .<br \/>\nSo, the given value is not a solution of the inequality.<\/p>\n<p>Question 26.<br \/>\nc + 2.5 &lt; 4.3; c = 1.8<br \/>\nAnswer:<br \/>\nc + 2.5 &lt; 4.3<br \/>\nPut c = 1.8<br \/>\n1.8 + 2.5 = 4.3<br \/>\n4.3 &lt; 4.3<br \/>\nabove statement is wrong<br \/>\nSo, the given value is not a solution of the inequality.<\/p>\n<p>Question 27.<br \/>\na \u2264 0; a = -5<br \/>\nAnswer:<br \/>\na \u2264 0<br \/>\nput a = -5<br \/>\n&#8211; 5 \u2264 0<br \/>\nabove statement is True<br \/>\nSo, the given value is not a solution of the inequality.<\/p>\n<p><strong>MATCHING<\/strong> Match the inequality with its graph.<br \/>\nQuestion 28.<br \/>\nx \u2265 &#8211; 2<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36869\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-28.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-28\" width=\"608\" height=\"75\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-28.jpg 608w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-28-300x37.jpg 300w\" sizes=\"(max-width: 608px) 100vw, 608px\" \/><br \/>\nExplanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 29.<br \/>\nx &lt; &#8211; 2<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36871\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-29-1.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-29\" width=\"621\" height=\"89\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-29-1.jpg 621w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-29-1-300x43.jpg 300w\" sizes=\"(max-width: 621px) 100vw, 621px\" \/><br \/>\nExplanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions<\/p>\n<p>Question 30.<br \/>\nx &gt; &#8211; 2<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36872\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-30.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-30\" width=\"644\" height=\"80\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-30.jpg 644w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-30-300x37.jpg 300w\" sizes=\"(max-width: 644px) 100vw, 644px\" \/><br \/>\nExplanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions<\/p>\n<p>Question 31.<br \/>\nx \u2264 &#8211; 2<br \/>\nAnswer:<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-25033\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-12.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.7 12\" width=\"548\" height=\"96\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-12.png 548w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-12-300x53.png 300w\" sizes=\"(max-width: 548px) 100vw, 548px\" \/><br \/>\nOption C is correct.<br \/>\nExplanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p><strong>GRAPHING AN INEQUALITY<\/strong> Graph the inequality on a number line.<br \/>\nQuestion 32.<br \/>\na &gt; 4<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36873\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-32.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-32\" width=\"654\" height=\"127\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-32.jpg 654w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-32-300x58.jpg 300w\" sizes=\"(max-width: 654px) 100vw, 654px\" \/><br \/>\nExplanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions<\/p>\n<p>Question 33.<br \/>\nn \u2265 8<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36874\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-33.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-33\" width=\"636\" height=\"79\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-33.jpg 636w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-33-300x37.jpg 300w\" sizes=\"(max-width: 636px) 100vw, 636px\" \/><br \/>\nExplanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 34.<br \/>\n3 \u2265 x<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36877\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-34.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-34\" width=\"669\" height=\"87\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-34.jpg 669w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-34-300x39.jpg 300w\" sizes=\"(max-width: 669px) 100vw, 669px\" \/><br \/>\nExplanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 35.<br \/>\ny &lt; \\(\\frac{1}{2}\\)<br \/>\nAnswer:<br \/>\ny &lt; \\(\\frac{1}{2}\\) = y &lt; 0.5<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36878\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-35.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-35\" width=\"663\" height=\"108\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-35.jpg 663w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-35-300x49.jpg 300w\" sizes=\"(max-width: 663px) 100vw, 663px\" \/><br \/>\nExplanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions<\/p>\n<p>Question 36.<br \/>\nx &lt; \\(\\frac{2}{9}\\)<br \/>\nAnswer:<br \/>\nx &lt; \\(\\frac{2}{9}\\)<br \/>\nx &lt; 0.2<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36879\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-36.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-36\" width=\"655\" height=\"94\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-36.jpg 655w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-36-300x43.jpg 300w\" sizes=\"(max-width: 655px) 100vw, 655px\" \/><br \/>\nExplanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions<\/p>\n<p>Question 37. -3 \u2265 c<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36880\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-37.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-37\" width=\"686\" height=\"106\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-37.jpg 686w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-37-300x46.jpg 300w\" sizes=\"(max-width: 686px) 100vw, 686px\" \/><br \/>\nExplanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 38. m &gt; &#8211; 5<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone wp-image-36881 size-full\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-38.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-38\" width=\"625\" height=\"80\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-38.jpg 625w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-38-300x38.jpg 300w\" sizes=\"(max-width: 625px) 100vw, 625px\" \/><br \/>\nExplanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions<\/p>\n<p>Question 39.<br \/>\n0 \u2264 b<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36882\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-39.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-39\" width=\"637\" height=\"96\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-39.jpg 637w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-39-300x45.jpg 300w\" sizes=\"(max-width: 637px) 100vw, 637px\" \/><br \/>\nExplanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 40.<br \/>\n1.5 &gt; f<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36883\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-40.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-40\" width=\"664\" height=\"96\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-40.jpg 664w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-40-300x43.jpg 300w\" sizes=\"(max-width: 664px) 100vw, 664px\" \/><br \/>\nExplanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions<\/p>\n<p>Question 41.<br \/>\nt \u2265 &#8211; \\(\\frac{1}{2}\\)<br \/>\nAnswer:<br \/>\nt \u2265 &#8211; \\(\\frac{1}{2}\\) = t \u2265 &#8211; 0.5<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36884\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-41.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-41\" width=\"623\" height=\"67\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-41.jpg 623w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-41-300x32.jpg 300w\" sizes=\"(max-width: 623px) 100vw, 623px\" \/><br \/>\nExplanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 42.<br \/>\nt \u2265 &#8211; 1.6<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36885\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-42.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-42\" width=\"606\" height=\"92\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-42.jpg 606w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-42-300x46.jpg 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><br \/>\nExplanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 43.<br \/>\n\\(\\frac{7}{3}\\) \u2265 z<br \/>\nAnswer:<br \/>\n\\(\\frac{7}{3}\\) \u2265 z<br \/>\n2.3 \u2265 z<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36886\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-43.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-43\" width=\"635\" height=\"92\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-43.jpg 635w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-43-300x43.jpg 300w\" sizes=\"(max-width: 635px) 100vw, 635px\" \/><br \/>\nExplanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>OPEN-ENDED Write an inequality and a word sentence that represent the graph.<br \/>\nQuestion 44.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25034\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-13.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.7 13\" width=\"235\" height=\"46\" \/><br \/>\nAnswer:<br \/>\nn &lt; 1<br \/>\nHere in the number line the 1 is not selected and all the numbers are less than 1 so the inequality equation is<br \/>\nn &lt; 1<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions<\/p>\n<p>Question 45.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25035\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-14.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.7 14\" width=\"246\" height=\"47\" \/><br \/>\nAnswer:<br \/>\nHere in the number line the 1 is selected and all the numbers are less than 1 so the inequality equation is<br \/>\nn \u2264\u00a01<br \/>\nExplanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 46.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25036\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-15.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.7 15\" width=\"236\" height=\"48\" \/><br \/>\nAnswer:<br \/>\nHere in the number line the 1 is selected and all the numbers are greater than -4 so the inequality equation is<br \/>\n-4 \u2264 n<br \/>\nExplanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 47.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25037\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-16.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.7 16\" width=\"242\" height=\"46\" \/><br \/>\nAnswer:<br \/>\nHere in the number line the 5 is not selected and all the numbers are greater than 0 so the inequality equation is<br \/>\n0 &lt; n<br \/>\nExplanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions<\/p>\n<p><strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend graphs the inequality. Is your friend correct? Explain your reasoning.<br \/>\nQuestion 48.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25038\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-17.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.7 17\" width=\"194\" height=\"111\" \/><br \/>\nAnswer:<br \/>\nYes, my friend is true .<br \/>\nHere in the number line the 1 is not selected and all the numbers are greater than 1 so the inequality equation is<br \/>\nx &gt; 1<br \/>\nExplanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions<\/p>\n<p>Question 49.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25039\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-18.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.7 18\" width=\"196\" height=\"112\" \/><br \/>\nAnswer:<br \/>\nHere in the number line the -1 is not selected and all the numbers are less than -1 so the inequality equation is<br \/>\n-1 &gt; x<br \/>\nExplanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions<\/p>\n<p>Question 50.<br \/>\n<strong>MODELING REAL LIFE<\/strong><br \/>\nThe world record for the farthest flight by hoverboard is 2252.4 meters. Write and graph an inequality that represents the distances that would set a new world record.<br \/>\nAnswer:<br \/>\nDistance of the farthest flight by hoverboard = 2252.4<br \/>\nFor new record the distance should be more than this distance.<br \/>\nTherefore the inequality of a new world record is w &gt; 2252.4<\/p>\n<p>Question 51.<br \/>\n<strong>MODELING REAL LIFE<\/strong><br \/>\nYou are fishing and are allowed to keep at most 3 striped bass. Each striped bass must be no less than 18 inches long.<br \/>\na. Write and graph an inequality that represents the numbers of striped bass you are allowed to keep.<br \/>\nb. Write and graph an inequality that represents the lengths of striped bass you are allowed to keep.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25040\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-19.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.7 19\" width=\"306\" height=\"198\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-19.png 306w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-19-300x194.png 300w\" sizes=\"(max-width: 306px) 100vw, 306px\" \/><br \/>\nAnswer:<br \/>\nNumber of striped bass allowed = n \u2264 3<br \/>\nLength of stripped bass = l \u2265 18<br \/>\nAnswer a :<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36889\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-51-b-1.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-51-b\" width=\"637\" height=\"84\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-51-b-1.jpg 637w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-51-b-1-300x40.jpg 300w\" sizes=\"(max-width: 637px) 100vw, 637px\" \/><br \/>\nExplanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Answer b:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36888\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-51-b.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-51-b\" width=\"637\" height=\"84\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-51-b.jpg 637w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-51-b-300x40.jpg 300w\" sizes=\"(max-width: 637px) 100vw, 637px\" \/><\/p>\n<p>Explanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 52.<br \/>\n<strong>REASONING<\/strong><br \/>\nYou have $33. You want to buy a necklace and one other item from the list.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25041\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-20.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.7 20\" width=\"420\" height=\"182\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-20.png 420w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-20-300x130.png 300w\" sizes=\"(max-width: 420px) 100vw, 420px\" \/><br \/>\na. Write an inequality that represents the situation.<br \/>\nb.Can the other item be a T-shirt? Explain.<br \/>\nc. Can the other item be a book? Explain.<br \/>\nAnswer a :<br \/>\nTotal Amount\u00a0 = t \u2264 $33<\/p>\n<p>Answer b:<br \/>\nYes<br \/>\nExplanation:<br \/>\n<span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">Total Amount = $33<\/span><br \/>\n<span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">Amount for necklace = $16<\/span><br \/>\n<span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">Amount for T-Shirt = $15<\/span><br \/>\n<span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">Total Amount for necklace and\u00a0<\/span><span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">T-Shirt = 16 + 15 = 31.<\/span><br \/>\n<span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">Therefore the required amount is 31 which is less than 33.<\/span><br \/>\n<span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">So it is possible to buy both .<\/span><\/p>\n<p>Answer c :<br \/>\nNo<br \/>\n<span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">Total Amount = $33<\/span><br \/>\n<span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">Amount for necklace = $16<\/span><br \/>\n<span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">Amount for Book = $20<\/span><br \/>\n<span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">Total Amount for necklace and Book<\/span><span style=\"font-size: 16px; font-style: normal; font-weight: 400;\"> = 16 + 20 = 36.<\/span><br \/>\n<span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">Therefore the required amount is 36 which is greater than 33.<\/span><br \/>\n<span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">So it is not possible to buy both .<\/span><\/p>\n<p>Question 53.<br \/>\n<strong>LOGIC<\/strong><br \/>\nFor a food to be labeled low sodium, there must be no more than 140 milligrams of sodium per serving.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25042\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-21.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.7 21\" width=\"179\" height=\"250\" \/><br \/>\na. Write and graph an inequality that represents the amount of sodium in a low-sodium serving.<br \/>\nAnswer:<br \/>\nAmount of sodium in a low-sodium serving = S \u2264 140<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36890\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-53-a.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-53-a\" width=\"632\" height=\"80\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-53-a.jpg 632w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-53-a-300x38.jpg 300w\" sizes=\"(max-width: 632px) 100vw, 632px\" \/><br \/>\nExplanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>b.Write and graph an inequality that represents the amount of sodium in a serving that does not qualify as low sodium.<br \/>\nAnswer:<br \/>\nAmount of sodium in a low-sodium serving which doesnot qualify = S &gt; 140<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36892\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-53-b-1.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-53-b\" width=\"642\" height=\"130\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-53-b-1.jpg 642w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-53-b-1-300x61.jpg 300w\" sizes=\"(max-width: 642px) 100vw, 642px\" \/><br \/>\nExplanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions<\/p>\n<p>c. Does the food represented by the nutrition facts label qualify as a low-sodium food? Explain.<br \/>\nAnswer:<br \/>\nAs per the above picture<br \/>\nTotal sodium = 300 grams.<br \/>\nSodium used for nutrition facts label qualify = 13 % of 300 grams = (13 \u00d7 300) \u00f7 100 = 3 \u00d7 13 = 39 grams.<br \/>\nAmount of sodium in a low-sodium serving =140 milligrams = 0.149 grams<br \/>\nSo the food represented by the nutrition facts label doesnot qualify as a low-sodium food.<\/p>\n<p><strong>CRITICAL THINKING<\/strong> Determine whether the statement is always, sometimes, or never true. Explain your reasoning.<br \/>\nQuestion 54.<br \/>\nA number that is a solution of the inequality x &gt; 5 is also a solution of the inequality x \u2265 5.<br \/>\nAnswer:<br \/>\nSometimes<br \/>\nExplanation:<br \/>\nOnly when 5 is not a solution . above 5 all will be the solutions for the equations.<\/p>\n<p>Question 55.<br \/>\nA number that is a solution of the inequality 5 \u2264 x is also a solution of the inequality x &gt; 5.<br \/>\nAnswer:<br \/>\nSometimes.<br \/>\nExplanation:<br \/>\nOnly when 5 is not a solution . above 5 all will be the solutions for the equations.<\/p>\n<p>5Question 6.<br \/>\n<strong>PROBLEM SOLVING<\/strong><br \/>\nA subway ride costs $1.50. A 30-day subway pass costs $36. Write an inequality that represents the numbers of subway rides you would need to take for the pass to be a better deal.<br \/>\nAnswer:<br \/>\nCost of one ride of subway = $1.50<br \/>\ncost of 30-day subway = $36.<br \/>\nNumber of rides in 30-day subway = $36 \u00f7 $1.50 = 24 rides.<br \/>\nYes it is a fair deal because you pay only for 24 rides out of 30 rides.<br \/>\nr \u2264 24 .<\/p>\n<p><strong>Question 57.<\/strong><br \/>\n<strong>PROBLEM SOLVING<\/strong><br \/>\nFifty people are seated in a movie theater. The maximum capacity of the theater is 425 people. Write an inequality that represents the numbers of additional people who can be seated.<br \/>\nAnswer:<br \/>\nNumber of people in theater = 50<br \/>\nMaximum Capacity = 425<br \/>\nThe Numbers of additional people who can be seated = 50 + x &lt; 425 .<\/p>\n<p>Question 58.<br \/>\n<strong>CRITICAL THINKING<\/strong><br \/>\nThe map shows the elevations above sea level for an area of land.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25043\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.7-22.png\" alt=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.7 22\" width=\"269\" height=\"141\" \/><br \/>\na Graph the possible elevations of A. Write the set of elevations as two inequalities.<br \/>\nAnswer:<br \/>\nPoint A = 0 &#8211; 100 ft<br \/>\npossible elevations of A \u2264 100.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-36893\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-58-a.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-58-a\" width=\"347\" height=\"112\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-58-a.jpg 347w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Writing-Graphing-Inequalities-Homework-Practice-8.7-Question-58-a-300x97.jpg 300w\" sizes=\"(max-width: 347px) 100vw, 347px\" \/><br \/>\nb. Graph the possible elevations of C. How can you write this set of elevations as a single inequality? Explain.<br \/>\nAnswer:<br \/>\nPoint C = 400 &#8211; 500<br \/>\npossible elevations of\u00a0 400 &lt; C \u2264\u00a0 500.<\/p>\n<p>c. What is the elevation of B? Explain.<br \/>\nAnswer:<br \/>\nPoint C = 200 &#8211; 300<br \/>\npossible elevations of\u00a0 200 &lt; B \u2264\u00a0 300.<\/p>\n<h3>Lesson 8.8 Solving Inequalities<\/h3>\n<p><strong>EXPLORATION 1<\/strong><\/p>\n<p>Using Tape Diagrams<br \/>\nWork with a partner. In Section 6.2 Exploration 1, the tape diagram below was used to model the equation x + 4 = 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25044\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.8-1.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.8 1\" width=\"276\" height=\"68\" \/><br \/>\na. Suppose that x +4 is greater than 12. How can you change the equation to represent the new relationship between x + 4 and 12?<br \/>\nAnswer:<br \/>\nx + 4 \u2265 12<br \/>\nTo Change the equation to represent the new relationship<br \/>\nx + 4 \u2265 12\u00a0 \u00a0subtract 4 from both sides of the equation we get ,<br \/>\nx \u2265 8<br \/>\nb. A student finds the possible values of x using the tape diagrams below. What is the solution? How can you find the solution algebraically?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25045\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.8-2.1.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.8 2.1\" width=\"558\" height=\"262\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.8-2.1.png 558w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.8-2.1-300x141.png 300w\" sizes=\"(max-width: 558px) 100vw, 558px\" \/><br \/>\nAnswer:<br \/>\nNone of the above diagrams help us to know the solutions.<br \/>\nc. Describe the relationship between 4x and 20 as shown by the tape diagram below. What can you conclude about x?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25046\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.8-2.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.8 2\" width=\"344\" height=\"66\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.8-2.png 344w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.8-2-300x58.png 300w\" sizes=\"(max-width: 344px) 100vw, 344px\" \/><br \/>\nAnswer:<br \/>\n4x + y\u00a0 = 20<br \/>\nExplanation:<br \/>\nTotal 4x is not equal to 20 something if we add to 4x then only the sum becomes 20 .<\/p>\n<p><strong>Try It<\/strong><\/p>\n<p><strong>Solve the inequality. Graph the solution.<\/strong><br \/>\nQuestion 1.<br \/>\nx &#8211; 2 &lt; 3<br \/>\nAnswer:<br \/>\nx &#8211; 2 &lt; 3<br \/>\nadd 2 on both sides<br \/>\nx -2 + 2 &lt; 3 + 2<br \/>\nx &lt; 5<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37623\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-1.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-1\" width=\"623\" height=\"100\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-1.jpg 623w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-1-300x48.jpg 300w\" sizes=\"(max-width: 623px) 100vw, 623px\" \/><\/p>\n<p>Explanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 2.<br \/>\n10 \u2265 z &#8211; 1<br \/>\nAnswer:<br \/>\n10 \u2265 z &#8211; 1 ( add by 1)<br \/>\n11 \u2265 z<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37642\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-2.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-2\" width=\"648\" height=\"86\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-2.jpg 648w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-2-300x40.jpg 300w\" sizes=\"(max-width: 648px) 100vw, 648px\" \/><\/p>\n<p>Explanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 3.<br \/>\ny + 2 \u2265 17<br \/>\nAnswer:<br \/>\ny + 2 \u2265 17<br \/>\ny \u2265 17 &#8211; 2 ( subtract by 2)<br \/>\ny \u2265 15<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37639\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-3.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-3\" width=\"634\" height=\"83\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-3.jpg 634w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-3-300x39.jpg 300w\" sizes=\"(max-width: 634px) 100vw, 634px\" \/><\/p>\n<p>Explanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions. Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p><strong>Solve the inequality. Graph the solution.<\/strong><br \/>\nQuestion 4.<br \/>\np \u00f7 3 \u2265 2<br \/>\nAnswer:<br \/>\np \u00f7 3 \u2265 2<br \/>\np \u2265 2 \u00d7 3 ( multiply by 3 )<br \/>\np \u2265 6<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37625\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-4.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-4\" width=\"622\" height=\"110\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-4.jpg 622w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-4-300x53.jpg 300w\" sizes=\"(max-width: 622px) 100vw, 622px\" \/><\/p>\n<p>Explanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 5.<br \/>\n1 &lt; \\(\\frac{s}{7}\\)<br \/>\nAnswer:<br \/>\n1 &lt; \\(\\frac{s}{7}\\)<br \/>\n7 &lt; s (multiply by 7)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37626\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-5.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-5\" width=\"679\" height=\"125\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-5.jpg 679w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-5-300x55.jpg 300w\" sizes=\"(max-width: 679px) 100vw, 679px\" \/><\/p>\n<p>Explanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 6. 11k \u2264 33<br \/>\nAnswer:<br \/>\n11k \u2264 33<br \/>\nk \u2264 3 (divided by 11 )<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37627\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-6.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-6\" width=\"658\" height=\"105\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-6.jpg 658w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-6-300x48.jpg 300w\" sizes=\"(max-width: 658px) 100vw, 658px\" \/><\/p>\n<p>Explanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Solve the inequality. Graph the solution.<br \/>\nQuestion 7. \\(\\frac{3}{2}\\)m &gt; 1<br \/>\nAnswer:<br \/>\n\\(\\frac{3}{2}\\)m &gt; 1<br \/>\n1.5m &gt; 1 divide by 1.5<br \/>\nm &gt; 0.6<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37629\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-7.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-7\" width=\"643\" height=\"121\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-7.jpg 643w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-7-300x56.jpg 300w\" sizes=\"(max-width: 643px) 100vw, 643px\" \/><br \/>\nExplanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 8.<br \/>\n\\(\\frac{3}{5}\\)q \u2264 6<br \/>\nAnswer:<br \/>\n\\(\\frac{3}{5}\\)q \u2264 6<br \/>\n0.6q \u2264 6<br \/>\ndivide by 0.6<br \/>\nq \u2264 (6 \u00f7 0.6 )<br \/>\nq \u2264 10<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37630\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-8.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-8\" width=\"633\" height=\"81\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-8.jpg 633w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-8-300x38.jpg 300w\" sizes=\"(max-width: 633px) 100vw, 633px\" \/><br \/>\nExplanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 9.<br \/>\n5 &gt; \\(\\frac{5t}{6}\\)<br \/>\nAnswer:<br \/>\n5 &gt; \\(\\frac{5t}{6}\\)<br \/>\nmultiply by 6<br \/>\n5 \u00d7 6 &gt; 5t<br \/>\n30 &gt; 5t<br \/>\ndivide by 5<br \/>\n6 &gt; t<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37631\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-9.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-9\" width=\"606\" height=\"116\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-9.jpg 606w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-9-300x57.jpg 300w\" sizes=\"(max-width: 606px) 100vw, 606px\" \/><\/p>\n<p><strong>Self-Assessment for Concepts &amp; Skills<\/strong><\/p>\n<p>Solve each exercise. Then rate your understanding of the success criteria in your journal.<\/p>\n<p><strong>SOLVING INEQUALITIES<\/strong> Solve the inequality. Graph the solution.<br \/>\nQuestion 10.<br \/>\nn + 6 &lt; 10<br \/>\nAnswer:<br \/>\nn + 6 &lt; 10<br \/>\nsubtract 6 on both sides<br \/>\nn &lt; 4<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37632\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-10.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-10\" width=\"656\" height=\"112\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-10.jpg 656w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-10-300x51.jpg 300w\" sizes=\"(max-width: 656px) 100vw, 656px\" \/><\/p>\n<p>Explanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions.Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 11.<br \/>\nh &#8211; 13 \u2265 7<br \/>\nAnswer:<br \/>\nh &#8211; 13 \u2265 7<br \/>\nadd 13 on both sides<br \/>\nh \u2265 20<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37635\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-11.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-11\" width=\"631\" height=\"82\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-11.jpg 631w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-11-300x39.jpg 300w\" sizes=\"(max-width: 631px) 100vw, 631px\" \/><\/p>\n<p>Explanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions. Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 12.<br \/>\n5g &gt; 45<br \/>\nAnswer:<br \/>\n5g &gt; 45<br \/>\ndivide by 9 on both sides<br \/>\ng &gt; 9<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37636\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-12.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-12\" width=\"638\" height=\"112\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-12.jpg 638w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-12-300x53.jpg 300w\" sizes=\"(max-width: 638px) 100vw, 638px\" \/><\/p>\n<p>Explanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions. Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 13.<br \/>\n\\(\\frac{3}{4}\\)k \u2264 6<br \/>\nAnswer:<br \/>\n\\(\\frac{3}{4}\\)k \u2264 6<br \/>\ndivide by \\(\\frac{4}{3}\\)<br \/>\nk \u2264 8<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37637\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-13.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-13\" width=\"654\" height=\"94\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-13.jpg 654w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-13-300x43.jpg 300w\" sizes=\"(max-width: 654px) 100vw, 654px\" \/><\/p>\n<p>Explanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions. Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p><strong>OPEN-ENDED<\/strong><br \/>\nWrite an inequality that the graph represents. Then use the Addition Property of Inequality to write another inequality that the graph represents.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25047\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.8-3.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.8 3\" width=\"376\" height=\"54\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.8-3.png 376w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.8-3-300x43.png 300w\" sizes=\"(max-width: 376px) 100vw, 376px\" \/><br \/>\nAnswer:<br \/>\nx &gt; 2<br \/>\nThen add 2 on both sides<br \/>\nx + 2 &gt; 4.<\/p>\n<p>Question 15.<br \/>\n<strong>REASONING<\/strong><br \/>\nHow is the graph of the solution of 2x \u2265 10 different from the graph of the solution of 2x = 10?<br \/>\nAnswer:<br \/>\n2x \u2265 10<br \/>\ndivide by 2<br \/>\nx \u2265 5<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37643\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-15-a.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-15-a\" width=\"608\" height=\"77\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-15-a.jpg 608w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Lesson-8.8-Solving-Inequalities-Question-15-a-300x38.jpg 300w\" sizes=\"(max-width: 608px) 100vw, 608px\" \/><br \/>\nHere including 5 and above all are the solutions of the given inequality equation .<\/p>\n<p>Question 16<br \/>\n<strong>OPEN-ENDED<\/strong><br \/>\nWrite two inequalities that have the same solution set: one that you can solve using division and one that you can solve using subtraction.<br \/>\nAnswer:<\/p>\n<p>Question 17.<br \/>\nA small pizza costs $4.50, and a salad costs $3.75. You plan to buy two small pizzas and four salads. Write and solve an inequality to find the additional amounts you can spend to get free delivery.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25048\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.8-4.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.8 4\" width=\"152\" height=\"81\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.8-4.png 152w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.8-4-150x81.png 150w\" sizes=\"(max-width: 152px) 100vw, 152px\" \/><br \/>\nAnswer:<br \/>\nCost of pizza = $4.50<br \/>\nCost of Salads = $3.75.<br \/>\nFree delivery on more than or equal to $40<br \/>\nd \u2265 40<br \/>\nCost of\u00a0 2 pizza = $4.50 \u00d7 2 = $9<br \/>\nCost of 4 Salads = $3.75. \u00d7 4 = $15<br \/>\nTotal Amount = $9 +$ 15 = $ 26.<br \/>\nTherefore , It is less than 40$ so free delivery is not possible .<\/p>\n<p>Question 18.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nStudents at a playground are divided into 5 groups with at least 6 students in each group.<br \/>\na. Find the possible numbers of students at the playground.<br \/>\nb. Suppose the students are divided into 5 equal groups. How does this change your answer in part(a)?<br \/>\nAnswer a :<br \/>\nNumber of Groups = 5<br \/>\nNumber of students in each group = 6<br \/>\nTotal students at play ground = 5 \u00d7 6 = 30<br \/>\nAnswer b :<br \/>\nIt doesnot change the answer because earlier there are 5 groups and even now we have 5 groups .<\/p>\n<h3>Solving Inequalities Homework &amp; Practice 8.8<\/h3>\n<p><strong>Review &amp; Refresh<\/strong><\/p>\n<p><strong>Tell whether the given value is a solution of the inequality.<\/strong><br \/>\nQuestion 1.<br \/>\nn + 4 &gt; 15; n = 9<br \/>\nAnswer:<br \/>\nn + 4 &gt; 15;<br \/>\nPut n = 9 in LHS<br \/>\n9 + 4 = 13<br \/>\n13 &gt; 15 The statement is wrong<br \/>\nSo it is not a solution for the given inequality .<\/p>\n<p>Question 2.<br \/>\ns &#8211; 12 \u2264 8; s = 20<br \/>\nAnswer:<br \/>\ns &#8211; 12 \u2264 8<br \/>\nPut s = 20 in LHS<br \/>\n20 &#8211; 12<br \/>\n8 \u2264 8 The statement is wrong as it is equal to 8 but not greater than 8 .<br \/>\nSo it is not a solution for the given inequality .<\/p>\n<p>Question 3.<br \/>\n\\(\\frac{z}{4}\\) \u2265 7; z = 32<br \/>\nAnswer:<br \/>\nlatex]\\frac{z}{4}[\/latex] \u2265 7 (mutlipy by 4)<br \/>\nz \u2265 7 \u00d7 4<br \/>\nz \u2265 28<br \/>\nPut z = 32<br \/>\n32 \u2265 28 is true<br \/>\nas 32 is greater than 28.<br \/>\nso the given number is the solution for the inequality equation.<\/p>\n<p>Question 4.<br \/>\n6g &lt; 48; g = 8<br \/>\nAnswer:<br \/>\n6g &lt; 48<br \/>\nPut g = 8 in LHS<br \/>\n6 \u00d7 8 = 48<br \/>\n48 &lt; 48 is wrong as both are equal .<br \/>\nso the given number is not a solution for the inequality equation .<\/p>\n<p><strong>Find the area of the triangle.<\/strong><br \/>\nQuestion 5.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25049\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.8-5.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.8 5\" width=\"155\" height=\"119\" \/><br \/>\nAnswer:<br \/>\nHeight of the triangle = 8mm<br \/>\nBase of the triangle = 14mm<br \/>\nArea of the Triangle = base \u00d7 height = 14 \u00d7 8 =112 sq.mm<\/p>\n<p>Question 6.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25050\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.8-6.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.8 6\" width=\"115\" height=\"122\" \/><br \/>\nAnswer:<br \/>\nHeight of the triangle = 6 inches<br \/>\nBase of the triangle = 3.5 inches<br \/>\nArea of the Triangle = base \u00d7 height = 6 \u00d7 3.5 = 21 sq.inches<\/p>\n<p>Question 7.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25051\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.8-7.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.8 7\" width=\"139\" height=\"144\" \/><br \/>\nAnswer:<br \/>\nHeight of the triangle = 6 yd<br \/>\nBase of the triangle = 2\\(\\frac{1}{2}\\) = \\(\\frac{5}{2}\\) = 2.5 yd<br \/>\nArea of the Triangle = base \u00d7 height = 6 \u00d7 2.5 = 15 sq.yds<\/p>\n<p><strong>Write the product as a power.<\/strong><br \/>\nQuestion 8.<br \/>\n7 \u00d7 7<br \/>\nAnswer:<br \/>\n7<sup>2<br \/>\n<\/sup>As we have 2 7 &#8216;s\u00a0 so the power is 2<br \/>\nExplanation:<br \/>\nThe exponent is the amount of times the number will be multiplied by itself.<\/p>\n<p>Question 9.<br \/>\n12 \u00d7 12 \u00d7 12 \u00d7 12<br \/>\nAnswer:<br \/>\n12<sup>4<br \/>\n<\/sup>As we have 4,12 &#8216;s\u00a0 so the power is 4<br \/>\nExplanation:<br \/>\nThe exponent is the amount of times the number will be multiplied by itself.<\/p>\n<p>Question 10.<br \/>\n1.4 \u00d7 1.4 \u00d7 1.4<br \/>\nAnswer:<br \/>\n1.4<sup>3<\/sup><br \/>\nAs we have 3, 1.4 &#8216;s\u00a0 so the power is 3<br \/>\nExplanation:<br \/>\nThe exponent is the amount of times the number will be multiplied by itself.<\/p>\n<p><strong>Concepts, Skills, &amp; Problem Solving<\/strong><\/p>\n<p><strong>USING TOOLS<\/strong> Describe the relationship shown by the tape diagram. What can you conclude about x? (See Exploration 1, p. 391.)<br \/>\nQuestion 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25053\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.8-8.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.8 8\" width=\"244\" height=\"65\" \/><br \/>\nAnswer:<br \/>\n1 + 2x &lt; 9<br \/>\nExplanation:<br \/>\n1 + 2x is some part of 9 but not equal to 9 as 9 is greater than 1 + 2x. so the inequality equation is 1 + 2x &lt; 9<\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25054\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.8-9.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.8 9\" width=\"241\" height=\"76\" \/><br \/>\nAnswer:<br \/>\n6x &gt; 24<br \/>\nExplanation:<br \/>\n24 is some part of 6x . an 6x is greater than 24. So the inequality equation is 6x &gt; 24<\/p>\n<p><strong>SOLVING INEQUALITIES<\/strong> Solve the inequality. Graph the solution.<br \/>\nQuestion 13.<br \/>\nx &#8211; 4 &lt; 5<br \/>\nAnswer:<br \/>\nx &#8211; 4 &lt; 5 (add 4)<br \/>\nx &lt; 9<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37657\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-13.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-13\" width=\"631\" height=\"88\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-13.jpg 631w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-13-300x42.jpg 300w\" sizes=\"(max-width: 631px) 100vw, 631px\" \/><\/p>\n<p>Question 14. 5 + h &gt; 7<br \/>\nAnswer:<br \/>\n14. 5 + h &gt; 7<br \/>\n14.5 move towards RHS we get<br \/>\nh &gt; 7 -14.5<br \/>\nh &gt; &#8211; 7.5<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37658\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-14.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-14\" width=\"613\" height=\"73\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-14.jpg 613w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-14-300x36.jpg 300w\" sizes=\"(max-width: 613px) 100vw, 613px\" \/><\/p>\n<p>Question 15.<br \/>\n3 \u2265 y &#8211; 2<br \/>\nAnswer:<br \/>\n3 \u2265 y &#8211; 2<br \/>\nadd 2 on both sides<br \/>\n5 \u2265 y<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37659\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-15.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-15\" width=\"603\" height=\"88\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-15.jpg 603w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-15-300x44.jpg 300w\" sizes=\"(max-width: 603px) 100vw, 603px\" \/><\/p>\n<p>Question 16.<br \/>\ny &#8211; 21 &lt; 85<br \/>\nAnswer:<br \/>\ny &#8211; 21 &lt; 85<br \/>\nadd 21 on both sides<br \/>\ny &lt; 106<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37660\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-16.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-16\" width=\"621\" height=\"92\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-16.jpg 621w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-16-300x44.jpg 300w\" sizes=\"(max-width: 621px) 100vw, 621px\" \/><\/p>\n<p>Question 17. 18 &gt; 12 + x<br \/>\nAnswer:<br \/>\n18 &gt; 12 + x<br \/>\nsubtract 12 on both sides we get ,<br \/>\n6 &gt; x<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37661\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-17.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-17\" width=\"632\" height=\"100\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-17.jpg 632w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-17-300x47.jpg 300w\" sizes=\"(max-width: 632px) 100vw, 632px\" \/><\/p>\n<p>Question 18.<br \/>\n\\(\\frac{m}{8}\\) &lt; 4<br \/>\nAnswer:<br \/>\n\\(\\frac{m}{8}\\) &lt; 4<br \/>\nMultiply by 8 on both sides we get,<br \/>\nm &lt; 8 \u00d7 4<br \/>\nm &lt; 32<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37665\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-18-1.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-18\" width=\"652\" height=\"97\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-18-1.jpg 652w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-18-1-300x45.jpg 300w\" sizes=\"(max-width: 652px) 100vw, 652px\" \/><\/p>\n<p>Question 19. n \u00f7 6 &gt; 2<br \/>\nAnswer:<br \/>\nn \u00f7 6 &gt; 2<br \/>\nmultiply by 6 on both sides we get,<br \/>\nn &gt; 12<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37666\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-19.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-19\" width=\"638\" height=\"122\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-19.jpg 638w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-19-300x57.jpg 300w\" sizes=\"(max-width: 638px) 100vw, 638px\" \/><\/p>\n<p>Question 20.<br \/>\n12x &lt; 96<br \/>\nAnswer:<br \/>\n12x &lt; 96<br \/>\ndivide by 12 on both sides we get,<br \/>\nx&lt; 8<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37662\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-20.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-20\" width=\"618\" height=\"90\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-20.jpg 618w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-20-300x44.jpg 300w\" sizes=\"(max-width: 618px) 100vw, 618px\" \/><\/p>\n<p>Question 21.<br \/>\n\\(\\frac{1}{11}\\)c \u2265 9<br \/>\nAnswer:<br \/>\n\\(\\frac{1}{11}\\)c \u2265 9<br \/>\nmultiply by 11 on both sides we get,<br \/>\nc \u2265 9 \u00d7 11<br \/>\nc \u2265 99<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37667\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-21.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-21\" width=\"613\" height=\"85\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-21.jpg 613w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-21-300x42.jpg 300w\" sizes=\"(max-width: 613px) 100vw, 613px\" \/><\/p>\n<p>Question 22.<br \/>\n8w \u2264 72<br \/>\nAnswer:<br \/>\n8w \u2264 72<br \/>\ndivide by 8 on both sides we get,<br \/>\nw \u2264 9<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37668\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-22.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-22\" width=\"621\" height=\"84\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-22.jpg 621w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-22-300x41.jpg 300w\" sizes=\"(max-width: 621px) 100vw, 621px\" \/><\/p>\n<p>Question 23.<br \/>\n7.2 &lt; x + 4.2<br \/>\nAnswer:<br \/>\n<span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">7.2 &lt; x + 4.2<br \/>\n<\/span>subtract 4.2 on both sides we get,<br \/>\n3 &lt; x<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37669\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-23.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-23\" width=\"617\" height=\"81\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-23.jpg 617w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-23-300x39.jpg 300w\" sizes=\"(max-width: 617px) 100vw, 617px\" \/><\/p>\n<p>Question 24.<br \/>\n12.7 \u2265 s &#8211; 5.3<br \/>\nAnswer:<br \/>\n12.7 \u2265 s &#8211; 5.3<br \/>\nadd 5.3 on both sides we get,<br \/>\n12.7 + 5.3 \u2265 s<br \/>\n18 \u2265 s<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37670\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-24.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-24\" width=\"641\" height=\"103\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-24.jpg 641w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-24-300x48.jpg 300w\" sizes=\"(max-width: 641px) 100vw, 641px\" \/><\/p>\n<p>Question 25.<br \/>\n\\(\\frac{3}{4}\\) \u2264 \\(\\frac{1}{2}\\) + n<br \/>\nAnswer:<br \/>\n\\(\\frac{3}{4}\\) \u2264 \\(\\frac{1}{2}\\) + n<br \/>\n0.75 \u2264 0.5 + n<br \/>\nsubtract 0.5 on both sides we get,<br \/>\n0.25 \u2264 n<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-37671\" style=\"font-weight: inherit;\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-25.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-25\" width=\"619\" height=\"95\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-25.jpg 619w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-25-300x46.jpg 300w\" sizes=\"(max-width: 619px) 100vw, 619px\" \/><\/p>\n<p>Question 26.<br \/>\n7.5 p \u2264 45<br \/>\nAnswer:<br \/>\n7.5 p \u2264 45<br \/>\ndivide by 7.5 we get,<br \/>\np \u2264 6<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37672\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-26.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-26\" width=\"621\" height=\"98\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-26.jpg 621w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-26-300x47.jpg 300w\" sizes=\"(max-width: 621px) 100vw, 621px\" \/><\/p>\n<p>Question 27.<br \/>\n\\(\\frac{5}{9}\\)v \u2264 45<br \/>\nAnswer:<br \/>\n\\(\\frac{5}{9}\\)v \u2264 45<br \/>\nmultiply by \\(\\frac{9}{5}\\) on both sides we get,<br \/>\nv \u2264 81<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37673\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-27.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-27\" width=\"640\" height=\"81\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-27.jpg 640w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-27-300x38.jpg 300w\" sizes=\"(max-width: 640px) 100vw, 640px\" \/><\/p>\n<p>Question 28.<br \/>\n\\(\\frac{5x}{8}\\) \u2265 30<br \/>\nAnswer:<br \/>\n\\(\\frac{5x}{8}\\) \u2265 30<br \/>\nMultiply by \\(\\frac{8}{5}\\) on both sides we get,<br \/>\nx \u2265 48<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37674\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-28.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-28\" width=\"622\" height=\"72\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-28.jpg 622w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-28-300x35.jpg 300w\" sizes=\"(max-width: 622px) 100vw, 622px\" \/><\/p>\n<p><strong>YOU BE THE TEACHER<\/strong><br \/>\nYour friend solves the inequality. Is your friend correct? Explain your reasoning.<br \/>\nQuestion 29.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25055\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.8-10.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.8 10\" width=\"116\" height=\"100\" \/><br \/>\nAnswer:<br \/>\nNo ,<br \/>\nExplanation:<br \/>\nwe subtracted 19 on both sides we get<br \/>\n28 &#8211; 9 = 19<br \/>\nt &#8211; 9 &#8211; 9 = t &#8211; 18<br \/>\nso the inequality equation after change is<br \/>\n19 \u2265 t &#8211; 18.<\/p>\n<p>Question 30<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25056\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.8-11.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.8 11\" width=\"130\" height=\"124\" \/><br \/>\nAnswer:<br \/>\nYes it is right.<\/p>\n<p><strong>WRITING INEQUALITIES<\/strong> Write the word sentence as an inequality. Then solve the inequality.<br \/>\nQuestion 31.<br \/>\nFive more than a number p is less than 17.<br \/>\nAnswer:<br \/>\n5 + p &lt; 17<\/p>\n<p>Question 32.<br \/>\nThree less than a number b is more than 15.<br \/>\nAnswer:<br \/>\n3 &#8211; b &gt; 15<\/p>\n<p>Question 33.<br \/>\nEight times a number n is less than 72.<br \/>\nAnswer:<br \/>\n8n &lt; 72<\/p>\n<p>Question 34.<br \/>\nA number t divided by 32 is at most 4.25.<br \/>\nAnswer:<br \/>\nt \u00f7 32 \u2264 4.25<\/p>\n<p>Question 35.<br \/>\n225 is no less than \\(\\frac{3}{4}\\) times a number w.<br \/>\nAnswer:<br \/>\n225 \u2265 \\(\\frac{3}{4}\\)w<\/p>\n<p>Question 36.<br \/>\n<strong>MODELING REAL LIFE<\/strong><br \/>\nYour carry-on bag can weigh at most 40 pounds. Write and solve an inequality that represents how much more weight you can add to the bag and still meet the requirement.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25057\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.8-12.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.8 12\" width=\"185\" height=\"224\" \/><br \/>\nAnswer:<br \/>\nWeight of a bag \u2264 40<br \/>\nweight of the bag as per above image = 22<br \/>\nhow much weight can be added = 40 &#8211; 22 = 18<br \/>\n22 + 18 \u2264 40<\/p>\n<p>Question 37.<br \/>\n<strong>MODELING REAL LIFE<\/strong><br \/>\nIt costs $x for a round-trip bus ticket to the mall. You have $24. Write and solve an inequality that represents how much money you can spend for the bus ticket and still have enough to buy a hat that costs $18.99.<br \/>\nAnswer:<br \/>\nCost of bus ticket = $x<br \/>\nTotal Amount with me = $24<br \/>\nCost of Hat = $18.99<br \/>\nAmount can spend for bus ticket = $24 &#8211; $18.99 = $5.01<br \/>\nSo Cost of bus ticket can be $5.01 \u2265 x<\/p>\n<p>Question 38.<br \/>\n<strong>GEOMETRY<\/strong><br \/>\nThe length of a rectangle is 8 feet, and its area is less than 168 square feet. Write and solve an inequality that represents the possible widths of the rectangle.<br \/>\nAnswer:<br \/>\nLength of a rectangle = 8 feet.<br \/>\nArea of Rectangle &lt; 168<br \/>\nWidth of rectangle &lt; Area \u00f7 length = 168 \u00f7 8 = 21<br \/>\nwidth of rectangle can be &lt; 21<\/p>\n<p>Question 39.<br \/>\n<strong>MODELING REAL LIFE<\/strong><br \/>\nA ticket to a dinosaur exhibit costs $7.50. A one-year pass to the exhibit costs $30. When is the one-year pass a better deal? Explain.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25058\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.8-13.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.8 13\" width=\"245\" height=\"176\" \/><br \/>\nAnswer:<br \/>\nCost of ticket = $7.50<br \/>\nCost of 1 year pass =$30<br \/>\nNumber of times can go in one year = 30 \u00f77.50 =4<br \/>\nThe deal is fair because you pay only for 4 times to go and rest of the year it will be free.<br \/>\nSo the one year pass is more beneficial.<\/p>\n<p>Question 40.<br \/>\n<strong>REASONING<\/strong><br \/>\nA thrill ride at an amusement park holds a maximum of 12 people per ride.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25059\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.8-14.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.8 14\" width=\"171\" height=\"277\" \/><br \/>\na. Find the possible numbers of rides needed for 15,000 people.<br \/>\nAnswer:<br \/>\nNumber of people for 1 ride = 12<br \/>\nNumber of rides for 15,000 people = 15000 \u00f7 12 = 1250 rides.<\/p>\n<p>b. Is it reasonable for 15,000 people to ride the thrill ride in one day? Explain.<br \/>\nAnswer:<br \/>\nThe park opens from 10:00 a.m to 10:00 p.m<br \/>\nwe cannot say the 15,000 people can ride in 1 day or not because we dont know for how much time will one ride takes.<\/p>\n<p>Question 41.<br \/>\n<strong>OPEN-ENDED<\/strong><br \/>\nGive an example of a real-life situation in which you can list all the solutions of an inequality. Give an example of a real-life situation in which you cannot list all the solutions of an inequality.<br \/>\nAnswer:<br \/>\nReal-life situation of Inequalities.<\/p>\n<table>\n<tbody>\n<tr>\n<td>Speed limit<\/td>\n<td>Legal speed on the highway \u2264 65 miles per hour<\/td>\n<\/tr>\n<tr>\n<td>Credit\u00a0card<\/td>\n<td>Monthly payment \u2265 10% of your\u00a0balance\u00a0in that billing cycle<\/td>\n<\/tr>\n<tr>\n<td>Text messaging<\/td>\n<td>Allowable number of text messages per month \u2264 250<\/td>\n<\/tr>\n<tr>\n<td>Travel time<\/td>\n<td>Time needed to walk from home to school \u2265 18 minutes<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>real-life situation in which you cannot list all the solutions of an inequality are Money . money should be given exactly not greater or lesser.<\/p>\n<p>Question 42.<br \/>\n<strong>LOGIC<\/strong><br \/>\nDescribe the solution of 7x &lt; 7x. Explain your reasoning.<br \/>\nAnswer:<br \/>\n7x &lt; 7x<br \/>\nNo solution.<br \/>\nExplanation:<br \/>\nthis equation is wrong as both are equal . no solution can be possible if the inequality equation is wrong.<\/p>\n<p>Question 43.<br \/>\n<strong>NUMBER SENSE<\/strong><br \/>\nThe possible values of x are given by x\u2212 3 \u2265 2. What is the least possible value of 5x?<br \/>\nAnswer:<br \/>\nx\u2212 3 \u2265 2<br \/>\nadd 3 on both sides we get,<br \/>\nx \u2265 5<br \/>\nMultiply by 5 on both sides we get,<br \/>\n5x \u2265 5 \u00d7 5<br \/>\n5x \u2265 25<\/p>\n<p><strong>SOLVING INEQUALITIES<\/strong> Solve the inequality. Graph the solution.<br \/>\nQuestion 44.<br \/>\nx + 9 &#8211; 3 \u2264 14<br \/>\nAnswer:<br \/>\nx + 9 &#8211; 3 \u2264 14<br \/>\nx + 6 \u2264 14<br \/>\nsubtract 6 on both sides we get ,<br \/>\nx\u2264 8<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37675\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-44.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-44\" width=\"644\" height=\"80\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-44.jpg 644w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-44-300x37.jpg 300w\" sizes=\"(max-width: 644px) 100vw, 644px\" \/><\/p>\n<p>Question 45.<br \/>\n44 &gt; 7 + s + 26<br \/>\nAnswer:<br \/>\n44 &gt; 7 + s + 26<br \/>\n44 &gt; 33 + s<br \/>\nsubtract 33 on both sides we get,<br \/>\n11 &gt; s<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37676\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-45.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-45\" width=\"602\" height=\"66\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-45.jpg 602w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-45-300x33.jpg 300w\" sizes=\"(max-width: 602px) 100vw, 602px\" \/><\/p>\n<p>Question 46.<br \/>\n6.1 &#8211; 0.3 \u2265 c + 1<br \/>\nAnswer:<br \/>\n6.1 &#8211; 0.3 \u2265 c + 1<br \/>\n5.8 \u2265 c + 1<br \/>\nSubtract 1 on both sides we get,<br \/>\n4.8 \u2265 c<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37677\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-46.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-46\" width=\"609\" height=\"64\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-46.jpg 609w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-46-300x32.jpg 300w\" sizes=\"(max-width: 609px) 100vw, 609px\" \/><\/p>\n<p>Question 47.<br \/>\n2n &lt; 4.6 \u00d7 12<br \/>\nAnswer:<br \/>\n2n &lt; 4.6 \u00d7 12<br \/>\n2n &lt; 55.2<br \/>\nDivide by 2 on both sides we get,<br \/>\nn &lt; 27.6<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37678\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-47.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-47\" width=\"651\" height=\"101\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-47.jpg 651w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-47-300x47.jpg 300w\" sizes=\"(max-width: 651px) 100vw, 651px\" \/><\/p>\n<p>Question 48.<br \/>\n32 \u2265 2h + 6h<br \/>\nAnswer:<br \/>\n32 \u2265 2h + 6h<br \/>\n32 \u2265 8h<br \/>\nDivide by 8 on both sides we get,<br \/>\n4 \u2265 h<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37679\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-48.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-48\" width=\"639\" height=\"96\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-48.jpg 639w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-48-300x45.jpg 300w\" sizes=\"(max-width: 639px) 100vw, 639px\" \/><\/p>\n<p>Question 49.<br \/>\n2\\(\\frac{2}{5}\\)b &#8211; 1\\(\\frac{3}{10}\\)b \u2264 6\\(\\frac{3}{5}\\)<br \/>\nAnswer:<br \/>\n\\(\\frac{12}{5}\\)b &#8211; \\(\\frac{13}{10}\\)b \u2264 \\(\\frac{33}{5}\\)<br \/>\n2.4b &#8211; 1.3b \u2264\u00a0 6.6<br \/>\n1.1b \u2264 6.6<br \/>\nDivide by 1.1 on both sides we get,<br \/>\nb \u2264 6<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37680\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-49.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-49\" width=\"637\" height=\"75\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-49.jpg 637w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-49-300x35.jpg 300w\" sizes=\"(max-width: 637px) 100vw, 637px\" \/><\/p>\n<p>Question 50.<br \/>\n<strong>PROBLEM SOLVING<\/strong><br \/>\nThe high score for a video game is 36,480. Your current score is 34,280. Each dragon\ufb02y you catch is worth 1 point. You also get a 1000-point bonus for reaching 35,000 points. Find the possible numbers of dragon\ufb02ies you can catch to earn a new high score.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25060\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.8-15.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.8 15\" width=\"119\" height=\"96\" \/><br \/>\nAnswer:<br \/>\nHigh score of video game = 36,480<br \/>\nCurrent score =34,280<br \/>\nScore required to get 35,000 points = 35000 &#8211; 34280 = 720<br \/>\nYou need to catch 720 dragon flies to get 35000 score after that 1000 bonus will be added so pesent score will be<br \/>\n34280 + 720 +1000 =36000<br \/>\nFor new record how many dragon flies we should catch = 36480 &#8211; 36000 = 480<br \/>\nMore than 480 then new record will be formed.<br \/>\nso possible number of dragon flies should we\u00a0 catch for new record = 720 + 480 = 1200<br \/>\nmore than 1200 .<\/p>\n<p>Question 51.<br \/>\n<strong>REASONING<\/strong><br \/>\nA winning football team more than doubled the offensive yards gained by its opponent. The opponent gained 272 offensive yards. The winning team had 80 offensive plays. Find the possible numbers of yards per play for the winning team. Justify your answer.<br \/>\nAnswer:<br \/>\nOpponent offensive yards = 272<br \/>\nWinning team offensive yards = double he offensive yards gained by its opponent =20 \u00d7 272 = 5440<br \/>\nWinning Team offensive plays = 80<br \/>\npossible numbers of yards per play for the winning team = 5440 yards.<\/p>\n<p>Question 52.<br \/>\n<strong>DIG DEEPER!<\/strong><br \/>\nYou complete two events of a triathlon. Your goal is to finish with an overall time of less than 100 minutes.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25061\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.8-16.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.8 16\" width=\"207\" height=\"163\" \/><br \/>\na. Find the possible numbers of minutes you can take to finish the running event and still meet your goal.<br \/>\nb. The running event is 3.1 miles long. Estimate how many minutes it would take you to run 3.1 miles. Would this time allow you to reach your goal? Explain your reasoning.<br \/>\nAnswer a :<br \/>\nTotal Time is less than 100 minutes.<br \/>\nTime for swimming = 18.2<br \/>\nTime for Biking = 45..4<br \/>\nTime for Running = 100 &#8211; 18.2 &#8211; 45.4 =36.4<br \/>\nTime for running should be lesser or equal to 36.4 to reach the goal time.<br \/>\nAnswer b:<br \/>\nTime for running should be lesser or equal to 36.4 to reach the goal time.<br \/>\nGoal length =3.1 miles.<br \/>\nTo reach goal he should travel 3.1 miles in less than or equal to 36.4 minutes.<\/p>\n<p><strong>SOLVING INEQUALITIES<\/strong> Graph the numbers that are solutions of both inequalities.<br \/>\nQuestion 53.<br \/>\nx + 7 &gt; 9 and 8x \u2264 64<br \/>\nAnswer:<br \/>\nx + 7 &gt; 9<br \/>\nsubtract 7 on both sides we get,<br \/>\nx &gt;2<\/p>\n<p>8x \u2264 64<br \/>\nDivide by 8 on both sides we get,<br \/>\nx \u2264 8<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37681\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-53.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-53\" width=\"653\" height=\"132\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-53.jpg 653w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-53-300x61.jpg 300w\" sizes=\"(max-width: 653px) 100vw, 653px\" \/><\/p>\n<p>Question 54.<br \/>\nz &#8211; 3 \u2264 8 and 6z &lt; 72<br \/>\nAnswer:<br \/>\nz &#8211; 3 \u2264 8<br \/>\nadd 3 on both sides we get,<br \/>\nz \u2264 11<\/p>\n<p>6z &lt; 72<br \/>\nDivide by 6 on both sides we get,<br \/>\nz &lt; 12<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37682\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-54.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-54\" width=\"628\" height=\"90\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-54.jpg 628w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-54-300x43.jpg 300w\" sizes=\"(max-width: 628px) 100vw, 628px\" \/><\/p>\n<p>Question 55. w + 5 \u2265 8 and 4w &gt; 20<br \/>\nAnswer:<br \/>\nw + 5 \u2265 8<br \/>\nsubtract 5 on both sides we get,<br \/>\nw \u2265 3<\/p>\n<p>4w &gt; 20<br \/>\nDivide 4 on both sides we get,<br \/>\nw &gt; 5<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37683\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-55.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-55\" width=\"645\" height=\"72\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-55.jpg 645w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-55-300x33.jpg 300w\" sizes=\"(max-width: 645px) 100vw, 645px\" \/><\/p>\n<p>Question 56.<br \/>\ng &#8211; 6 \u2264 1 and 3g \u2265 21<br \/>\nAnswer:<br \/>\ng &#8211; 6 \u2264 1<br \/>\nAdd 6 on both sides we get,<br \/>\ng \u2264 7<\/p>\n<p>3g \u2265 21<br \/>\nDivide by 3 on both sides we get,<br \/>\ng \u2265 7<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37684\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-56.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-56\" width=\"623\" height=\"95\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-56.jpg 623w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-56-300x46.jpg 300w\" sizes=\"(max-width: 623px) 100vw, 623px\" \/><\/p>\n<p>Question 57.<br \/>\n2.7 + k \u2265 5.3 and 0.8k \u2264 3.36<br \/>\nAnswer:<br \/>\n2.7 + k \u2265 5.3<br \/>\nSubtract 2.7 on both sides we get,<br \/>\nk \u2265 2.6<\/p>\n<p>0.8k \u2264 3.36<br \/>\nDivide by 0.8 on both sides we get,<br \/>\nk \u2264 4.2<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37685\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-57.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-57\" width=\"625\" height=\"79\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-57.jpg 625w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-57-300x38.jpg 300w\" sizes=\"(max-width: 625px) 100vw, 625px\" \/><\/p>\n<p>Question 58.<br \/>\np + \\(\\frac{3}{4}\\) &lt; 3 and \\(\\frac{1}{4}\\)p &gt; \\(\\frac{3}{8}\\)<br \/>\nAnswer:<br \/>\np + \\(\\frac{3}{4}\\) &lt; 3<br \/>\np + 0.75 &lt; 3<br \/>\nSubtract 0.75 on both sides we get,<br \/>\np &lt; 2.25<\/p>\n<p>\\(\\frac{1}{4}\\)p &gt; \\(\\frac{3}{8}\\)<br \/>\n0.25p &gt; 0.375<br \/>\nDivide by 0.25 on both sides we get,<br \/>\np &gt; 1.5<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37686\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-58.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-58\" width=\"632\" height=\"72\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-58.jpg 632w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Solving-Inequalities-Homework-Practice-8.8-Question-58-300x34.jpg 300w\" sizes=\"(max-width: 632px) 100vw, 632px\" \/><\/p>\n<p>Question 59.<br \/>\n<strong>PROBLEM SOLVING<\/strong><br \/>\nYou are selling items from a catalog for a school fundraiser. Find the range of sales that will earn you at least $40 and at most $50.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25062\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.8-17.png\" alt=\"Big Ideas Math Solutions Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane 8.8 17\" width=\"328\" height=\"138\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.8-17.png 328w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Solutions-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-8.8-17-300x126.png 300w\" sizes=\"(max-width: 328px) 100vw, 328px\" \/><br \/>\nAnswer:<br \/>\nEarn $5 for every $50 in sales + take one catalog.<br \/>\n$50 &gt; 1 + $5<br \/>\nIf you sell at most $50 that is $50 \u2264 if it equal to 50 only \u00a0you get $5 and 1 catalog.<br \/>\nIf you sellat least $40 that is 40 \u2265 if it is greater or equal to 40 only you get $5 and 1 catalog .<\/p>\n<p><strong>CRITICAL THINKING<\/strong> Let a &gt; b&gt; 0 and x &gt; y&gt; 0. Tell whether the statement is always true. Explain your reasoning.<br \/>\nQuestion 60.<br \/>\na + x &gt; b + y<br \/>\nAnswer:<br \/>\nIt is true<br \/>\nExplanation:<br \/>\na &gt; b&gt; 0 and x &gt; y&gt; 0. in this both a and x are greater numbers. and if both numbers are added then the resultant will always be greater.<\/p>\n<p>Question 61.<br \/>\na &#8211; x &gt; b &#8211; y<br \/>\nAnswer:<br \/>\nCant say as it depends on the values.<br \/>\nExplanation:<br \/>\ntake a example take a=2 b=1 x=3 y= 2<br \/>\n2-3 = -2<br \/>\n1-2 = -1<br \/>\n-2 &lt; -1<br \/>\nIt is not true<\/p>\n<p>Question 62.<br \/>\nax &gt; by<br \/>\nAnswer:<br \/>\nIt is true<br \/>\nExplanation:<br \/>\na &gt; b&gt; 0 and x &gt; y&gt; 0. in this both a and x are greater numbers. and if both numbers are multipied then the resultant will always be greater.<\/p>\n<p>Question 63.<br \/>\n\\(\\frac{a}{x}\\) &gt; \\(\\frac{y}{b}\\)<br \/>\nAnswer:<br \/>\nCant say as it depends on the values.<\/p>\n<h3>Integers, Number Lines, and the Coordinate Plane Connecting Concepts<\/h3>\n<p><strong>Using the Problem-Solving Plan<br \/>\n<\/strong>Question 1.<br \/>\nYou use a coordinate plane to design a kite for a competition. The vertices of the design are A(0, 0), B(13.5, 9), C(27, 0), and D(13.5, \u221236). The coordinates are measured in inches. Find the least number of square yards of fabric you need to make the kite.<\/p>\n<p>Understand the problem.<br \/>\nYou know the vertices of your kite design in a coordinate plane, where the coordinates are measured in inches. You are asked to find the least number of square yards of fabric needed to make the kite.<\/p>\n<p>Make a plan.<br \/>\nFirst, draw a diagram of the design in a coordinate plane. Then decompose the figure into two triangles to find the area of the kite in square inches. Finally, convert the area from square inches to square yards.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25066\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cc-1.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane cc 1\" width=\"228\" height=\"228\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cc-1.png 228w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cc-1-150x150.png 150w\" sizes=\"(max-width: 228px) 100vw, 228px\" \/><\/p>\n<p>Solve and check.<br \/>\nUse the plan to solve the problem. Then check your solution.<br \/>\nAnswer:<\/p>\n<p>Question 2.<br \/>\nYou have $240 in a savings account. You deposit $60 per month. The tape diagram represents the ratio of money deposited to money withdrawn each month. Find the monthly change in your account balance. How long will it take for the account to have a balance of $0? Justify your answer.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25067\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cc-2.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane cc 2\" width=\"376\" height=\"70\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cc-2.png 376w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cc-2-300x56.png 300w\" sizes=\"(max-width: 376px) 100vw, 376px\" \/><br \/>\nAnswer:<\/p>\n<p>Question 3.<br \/>\nA cord made of synthetic fiber can support 630 pounds, which is at least 450% of the weight that can be supported by a cord made of steel. Graph the possible weights that can be supported by the steel cord.<br \/>\nAnswer:<br \/>\nSynthentic fibre = 630 pounds<\/p>\n<p><strong>Performance Task<\/strong><\/p>\n<p>Launching a CubeSat<br \/>\nAt the beginning of this chapter, you watched a STEAM Video called \u201cDesigning a CubeSat.\u201d You are now ready to complete the performance task related to this video, available at BigIdeasMath.com. Be sure to use the problem-solving plan as you work through the performance task.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25068\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cc-3.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane cc 3\" width=\"324\" height=\"178\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cc-3.png 324w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cc-3-300x165.png 300w\" sizes=\"(max-width: 324px) 100vw, 324px\" \/><\/p>\n<h3>Integers, Number Lines, and the Coordinate Plane Chapter Review<\/h3>\n<p><strong>Review Vocabulary<\/strong><\/p>\n<p>Write the definition and give an example of each vocabulary term.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25069\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cr-1.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane cr 1\" width=\"583\" height=\"99\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cr-1.png 583w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cr-1-300x51.png 300w\" sizes=\"(max-width: 583px) 100vw, 583px\" \/><\/p>\n<p><strong>Graphic Organizers<\/strong><\/p>\n<p>You can use a Summary Triangle to explain a concept. Here is an example of a Summary Triangle for integers.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25070\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cr-2.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane cr 2\" width=\"389\" height=\"316\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cr-2.png 389w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cr-2-300x244.png 300w\" sizes=\"(max-width: 389px) 100vw, 389px\" \/><\/p>\n<p>Choose and complete a graphic organizer to help you study the concept.<br \/>\n1. opposites<br \/>\n2. rational number<br \/>\n3. absolute value<br \/>\n4. coordinate plane<br \/>\n5. inequalities<br \/>\n6. solving inequalities using addition or subtraction<br \/>\n7. solving inequalities using multiplication or division<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25071\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cr-3.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane cr 3\" width=\"281\" height=\"292\" \/><\/p>\n<p><strong>Chapter Self-Assessment<\/strong><\/p>\n<p>As you complete the exercises, use the scale below to rate your understanding of the success criteria in your journal.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25072\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-crr-1.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane crr 1\" width=\"594\" height=\"81\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-crr-1.png 594w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-crr-1-300x41.png 300w\" sizes=\"(max-width: 594px) 100vw, 594px\" \/><\/p>\n<p><strong>8.1 Integers<\/strong>\u00a0<strong>(pp. 345\u2013350)<\/strong><br \/>\nLearning Target: Understand the concept of negative numbers and that they are used along with positive numbers to describe quantities.<\/p>\n<p><strong>Write a positive or negative integer that represents the situation.<\/strong><br \/>\nQuestion 1.<br \/>\nAn elevator goes down 8 floors.<br \/>\nAnswer:<br \/>\nDown indicates negative number<br \/>\n-8<\/p>\n<p>Question 2.<br \/>\nYou earn $12.<br \/>\nAnswer:<br \/>\nEarn indicates + number<br \/>\nso , +$12<\/p>\n<p><strong>Graph the integer and its opposite<\/strong><br \/>\nQuestion 3.<br \/>\n-16<br \/>\nAnswer:<br \/>\nThe opposite of -16 is 16<\/p>\n<p>Question 4.<br \/>\n13<br \/>\nAnswer:<br \/>\nThe opposite of 13 is -13<\/p>\n<p>Question 5.<br \/>\n4<br \/>\nAnswer:<br \/>\nThe opposite of 4 is -4<\/p>\n<p>Question 6.<br \/>\n&#8211; 100<br \/>\nAnswer:<br \/>\nThe opposite of -100 is 100<\/p>\n<p><strong>Identify the integer represented by the point on the number line.<\/strong><br \/>\nQuestion 7.<br \/>\nA<br \/>\nAnswer:<br \/>\nThe point A represents 1<br \/>\nExplanation:<br \/>\nAs it is exactly marked between 0 and 2<\/p>\n<p>Question 8.<br \/>\nB<br \/>\nAnswer:<br \/>\nThe point B represents 10<br \/>\nExplanation:<br \/>\nIt is marked on point 10<\/p>\n<p>Question 9.<br \/>\nC<br \/>\nAnswer:<br \/>\nThe point C represents 7<br \/>\nExplanation:<br \/>\nAs it is marked exactly in between 6 and 8.<\/p>\n<p>Question 10.<br \/>\nD<br \/>\nAnswer:<br \/>\nThe point D represents -6<br \/>\nExplanation:<br \/>\nIt is marked on point -6<\/p>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-25073\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-crr-2.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane crr 2\" width=\"460\" height=\"54\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-crr-2.png 460w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-crr-2-300x35.png 300w\" sizes=\"(max-width: 460px) 100vw, 460px\" \/><\/p>\n<p><strong>8.2 Comparing and Ordering Integers (pp. 351\u2013356)<\/strong><br \/>\nLearning Target: Compare and order integers.<\/p>\n<p>Copy and complete the statement using &lt; or &gt;.<br \/>\nQuestion 11.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25074\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-crr-11.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane crr 11\" width=\"79\" height=\"43\" \/><br \/>\nAnswer:<br \/>\n4 &gt; -7<br \/>\nExplanation:<br \/>\nAll positive numbers are greater than negative numbers.<\/p>\n<p>Question 12.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25075\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-crr-12.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane crr 12\" width=\"83\" height=\"41\" \/><br \/>\nAnswer:<br \/>\n-1 &lt; 0<br \/>\nExplanation:<br \/>\nAll positive numbers are greater than negative numbers.<\/p>\n<p>Question 13.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25076\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-crr-13.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane crr 13\" width=\"89\" height=\"46\" \/><br \/>\nAnswer:<br \/>\n-5 &gt; -8<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<\/p>\n<p><strong>Order the integers from least to greatest.<\/strong><br \/>\nQuestion 14.<br \/>\n&#8211; 5, 4, 2, &#8211; 3, &#8211; 1<br \/>\nAnswer:<br \/>\n-5, -3, -1, 2, 4<\/p>\n<p>Explanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<br \/>\nSo write the numbers which are bigger with negative symbol are smaller arrange all the negative numbers in this order and then follows 0 and positive numbers from least to greatest .<\/p>\n<p>Question 15.<br \/>\n5, &#8211; 20, &#8211; 10, 10, 15<br \/>\nAnswer:<br \/>\n-20, -10, 5, 10, 15<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<br \/>\nSo write the numbers which are bigger with negative symbol are smaller arrange all the negative numbers in this order and then follows 0 and positive numbers from least to greatest .<\/p>\n<p>Question 16.<br \/>\n&#8211; 7, &#8211; 12, 9, 2, &#8211; 8<br \/>\nAnswer:<br \/>\n-12, -8, -7, 2, 9<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<br \/>\nSo write the numbers which are bigger with negative symbol are smaller arrange all the negative numbers in this order and then follows 0 and positive numbers from least to greatest .<\/p>\n<p>Question 17.<br \/>\nOrder the temperatures\u00a0<span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">\u2212 3\u00b0C<\/span><span style=\"font-size: 16px;\">, 8\u00b0C, \u2212 12\u00b0C, \u2212 7\u00b0C, and 0\u00b0C from coldest to warmest.<\/span><\/p>\n<p>Answer:<span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">\u00a0<\/span><br \/>\n\u2212 12\u00b0C,\u00a0<span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">\u2212 7\u00b0C, \u2212 3\u00b0C, <span style=\"font-size: 16px;\"> 0\u00b0C, 8\u00b0C<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<br \/>\nSo write the numbers which are bigger with negative symbol are smaller arrange all the negative numbers in this order and then follows 0 and positive numbers from least to greatest . <\/span><\/span><\/p>\n<p>Question 18.<br \/>\nYour teacher writes five different integers on a note card that are between \u221210 and 14. When the integers are ordered from least to greatest, the middle number is 1. How many of the integers are positive? negative? Explain.<br \/>\nAnswer:<\/p>\n<p><strong>8.3 Rational Numbers (pp. 357\u2013362)<\/strong><br \/>\nLearning Target: Compare and order rational numbers.<\/p>\n<p><strong>Graph the number and its opposite.<\/strong><br \/>\nQuestion 19.<br \/>\n&#8211;\\(\\frac{2}{5}\\)<br \/>\nAnswer:<br \/>\n&#8211;\\(\\frac{2}{5}\\) = -0.4<br \/>\nThe opposite of -0.4 is 0.4<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37688\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Chapter-Review-Question-19.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines,-and-the-Coordinate-Plane-Chapter-Review-Question-19\" width=\"585\" height=\"165\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Chapter-Review-Question-19.jpg 585w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Chapter-Review-Question-19-300x85.jpg 300w\" sizes=\"(max-width: 585px) 100vw, 585px\" \/><br \/>\nExplanation :<br \/>\nFor any given\u00a0integer\u00a0&#8216;a&#8217;, the\u00a0opposite integer\u00a0is found at the same distance from 0 on the number line, but on the other side.<br \/>\nSo, the\u00a0opposite integer\u00a0of\u00a0integer &#8216;a&#8217;, is &#8216;-a&#8217; on the number line, but on the other side of 0.<\/p>\n<p>Question 20.<br \/>\n1\\(\\frac{3}{4}\\)<br \/>\nAnswer:<br \/>\n1\\(\\frac{3}{4}\\)=\\(\\frac{7}{4}\\) = 1.75<br \/>\nThe opposite of 1.75 is -1.75<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37690\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Chapter-Review-Question-20-1.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines,-and-the-Coordinate-Plane-Chapter-Review-Question-20\" width=\"616\" height=\"233\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Chapter-Review-Question-20-1.jpg 616w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Chapter-Review-Question-20-1-300x113.jpg 300w\" sizes=\"(max-width: 616px) 100vw, 616px\" \/><br \/>\nExplanation :<br \/>\nFor any given\u00a0integer\u00a0&#8216;a&#8217;, the\u00a0opposite integer\u00a0is found at the same distance from 0 on the number line, but on the other side.<br \/>\nSo, the\u00a0opposite integer\u00a0of\u00a0integer &#8216;a&#8217;, is &#8216;-a&#8217; on the number line, but on the other side of 0.<\/p>\n<p>Question 21.<br \/>\n&#8211; 1.2<br \/>\nAnswer:<br \/>\nThe opposite of -1.2 is 1.2<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37691\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Chapter-Review-Question-21.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines,-and-the-Coordinate-Plane-Chapter-Review-Question-21\" width=\"642\" height=\"201\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Chapter-Review-Question-21.jpg 642w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Chapter-Review-Question-21-300x94.jpg 300w\" sizes=\"(max-width: 642px) 100vw, 642px\" \/><br \/>\nExplanation :<br \/>\nFor any given\u00a0integer\u00a0&#8216;a&#8217;, the\u00a0opposite integer\u00a0is found at the same distance from 0 on the number line, but on the other side.<br \/>\nSo, the\u00a0opposite integer\u00a0of\u00a0integer &#8216;a&#8217;, is &#8216;-a&#8217; on the number line, but on the other side of 0.<\/p>\n<p>Question 22.<br \/>\n2.75<br \/>\nAnswer:<br \/>\nThe opposite of 2.75 is -2.75<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37692\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Chapter-Review-Question-22.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines,-and-the-Coordinate-Plane-Chapter-Review-Question-22\" width=\"635\" height=\"213\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Chapter-Review-Question-22.jpg 635w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Chapter-Review-Question-22-300x101.jpg 300w\" sizes=\"(max-width: 635px) 100vw, 635px\" \/><br \/>\nExplanation :<br \/>\nFor any given\u00a0integer\u00a0&#8216;a&#8217;, the\u00a0opposite integer\u00a0is found at the same distance from 0 on the number line, but on the other side.<br \/>\nSo, the\u00a0opposite integer\u00a0of\u00a0integer &#8216;a&#8217;, is &#8216;-a&#8217; on the number line, but on the other side of 0.<\/p>\n<p><strong>Copy and complete the statement using &lt; or &gt;.<\/strong><br \/>\nQuestion 23.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25077\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-crr-23.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane crr 23\" width=\"104\" height=\"44\" \/><br \/>\nAnswer:<br \/>\n-2\\(\\frac{1}{6}\\) = &#8211; = -2.1<br \/>\n-2\\(\\frac{5}{6}\\) = &#8211;\\(\\frac{17}{6}[\/late<span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">[latex]\\frac{13}{6}\\)<\/span><span style=\"font-size: 16px;\">x] =-2.8<\/span><\/p>\n<p>-2.1 &gt; -2.8<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<\/p>\n<p>Question 24.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25078\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-crr-24.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane crr 24\" width=\"83\" height=\"44\" \/><br \/>\nAnswer:<br \/>\n&#8211;\\(\\frac{1}{3}\\)= -0.3<br \/>\n&#8211;\\(\\frac{1}{8}\\) = &#8211; 0.125<br \/>\n-0.3\u00a0 &lt;\u00a0 -0.125<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<\/p>\n<p>Question 25.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25079\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-crr-25.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane crr 25\" width=\"119\" height=\"42\" \/><br \/>\nAnswer:<br \/>\n-3.27 &lt; -2.68<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<\/p>\n<p><strong>Order the numbers from least to greatest.<\/strong><br \/>\nQuestion 26.<br \/>\n&#8211; 2.04, &#8211; 3, &#8211; 2.4, &#8211; 2.19, &#8211; 5.8<br \/>\nAnswer:<br \/>\n-5.8 &lt; -3 &lt; 2.4 &lt; -2.19 &lt; -2.04<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<br \/>\nSo write the numbers which are bigger with negative symbol are smaller arrange all the negative numbers in this order and then follows 0 and positive numbers from least to greatest .<\/p>\n<p>Question 27.<br \/>\n&#8211; 3\\(\\frac{7}{8}\\), 4, &#8211; 3\\(\\frac{3}{4}\\), \\(\\frac{1}{2}\\), \\(\\frac{1}{6}\\)<br \/>\nAnswer:<br \/>\n&#8211; 3\\(\\frac{7}{8}\\) = &#8211; \\(\\frac{31}{8}\\) = -3.8<br \/>\n&#8211; 3\\(\\frac{3}{4}\\) = &#8211;\\(\\frac{15}{4}\\) = &#8211; 3.75<br \/>\n\\(\\frac{1}{2}\\) = 0.5<br \/>\n\\(\\frac{1}{6}\\) = 0.16<br \/>\n-3.8, 4, -3.75, 0.5, 0.16<br \/>\n-3.8&lt;-3.75&lt;0.16&lt;0.5&lt;4<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<br \/>\nSo write the numbers which are bigger with negative symbol are smaller arrange all the negative numbers in this order and then follows 0 and positive numbers from least to greatest .<\/p>\n<p>Question 28.<br \/>\nWrite a number that is greater than \u22127.81 and less than \u22127.<br \/>\nAnswer:<br \/>\n-7&gt;x&gt;-7.81<br \/>\nit can be -7.1, -7.2 , &#8230;&#8230;<\/p>\n<p>Question 29.<br \/>\nA dog buries a small bone \u22121\\(\\frac{5}{6}\\) inches into the dirt. The dog buries a larger bone \u22121\\(\\frac{3}{4}\\) inches into the dirt. Which bone is buried deeper?<br \/>\nAnswer:<br \/>\nSmall bone buried at \u22121\\(\\frac{5}{6}\\) = \u2212\\(\\frac{11}{6}\\) = -1.83<br \/>\nLarger bone buried at \u22121\\(\\frac{3}{4}\\) = \u22121\\(\\frac{7}{4}\\) = &#8211; 1.75<br \/>\nDistance cant be in negative just compare the values and say which bone is buried deepest.<br \/>\nSmall bone is buried deeper .<\/p>\n<p><strong>8.4 Absolute Value (pp. 363\u2013368)<\/strong><br \/>\nLearning Target: Understand the concept of absolute value.<\/p>\n<p><strong>Find the absolute value.<\/strong><br \/>\nQuestion 30.<br \/>\n|- 8|<br \/>\nAnswer:<br \/>\nThe Absolute value of |- 8| = 8<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x .<\/p>\n<p>Question 31.<br \/>\n|13|<br \/>\nAnswer:<br \/>\nThe Absolute value of |13| = 13<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x .<\/p>\n<p>Question 32.<br \/>\n|3 \\(\\frac{6}{7}\\)|<br \/>\nAnswer:<br \/>\n|3 \\(\\frac{6}{7}\\)|=|\\(\\frac{27}{7}\\)|=|3.8|<br \/>\nThe Absolute value of |3.8| = 8<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x .<\/p>\n<p>Question 33.<br \/>\n|- 1.34|<br \/>\nAnswer:<br \/>\nThe Absolute value of|- 1.34|= 1.34<br \/>\nExplanation:<br \/>\nThe absolute value\u00a0or modulus of a real number x, denoted |x|, is the non-negative\u00a0value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x .<\/p>\n<p><strong>Copy and complete the statement using &lt;, &gt; , or =.<\/strong><br \/>\nQuestion 34.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25080\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-crr-34.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane crr 34\" width=\"91\" height=\"40\" \/><br \/>\nAnswer:<br \/>\nThe Absolute value of|-2|= 2<br \/>\n2 = 2<\/p>\n<p>Question 35.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25081\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-crr-35.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane crr 35\" width=\"125\" height=\"40\" \/><br \/>\nAnswer:<br \/>\nThe Absolute value of |4.4|= 4.4<br \/>\nThe Absolute value of |- 2.8 |= 2.8<\/p>\n<p>Question 36.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25082\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-crr-36.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane crr 36\" width=\"111\" height=\"50\" \/><br \/>\nAnswer:<br \/>\nThe Absolute value of |\\(\\frac{1}{6}\\)|= \\(\\frac{1}{6}\\) = 0.16<br \/>\nThe Absolute value of |-\\(\\frac{2}{9}\\)| = \\(\\frac{2}{9}\\) = 0.22<br \/>\n0.16 &lt; 0.22<\/p>\n<p><strong>Order the values from least to greatest.<\/strong><br \/>\nQuestion 37.<br \/>\n&#8211; 15, |- 21|, |19|, &#8211; 20, 25<br \/>\nAnswer:<br \/>\nThe Absolute value of |-21|= 21<br \/>\nThe Absolute value of |19|= 19<br \/>\n&#8211; 15, 21, 19, &#8211; 20, 25<br \/>\n-20&lt;-15&lt;19&lt;21&lt;25<\/p>\n<p>Question 38.<br \/>\n0, |- 1|, &#8211; 2, |2|, &#8211; 3<br \/>\nAnswer:<br \/>\nThe Absolute value of |-1|= 1<br \/>\nThe Absolute value of |2|= 2<br \/>\n0, 1, &#8211; 2, 2, &#8211; 3<br \/>\n-3&lt; -2 &lt; 0 &lt; 1 &lt; 2<\/p>\n<p>Question 39.<br \/>\nSimplify \u2212|\u2212 35 |.<br \/>\nAnswer:<br \/>\nThe Absolute value of |-35|= 35<br \/>\n\u2212|\u2212 35 |= -35<\/p>\n<p>Question 40.<br \/>\nThe latitude of Erie, Pennsylvania, is 42.129. The latitude of Sydney, Australia, is \u221233.865. Positive values of latitude are north of the equator, negative values of latitude are south of the equator, and the latitude of the equator is 0. Which city is closest to the equator?<br \/>\nAnswer:<br \/>\nlatitude of Erie, Pennsylvania = 42.129.<br \/>\nlatitude of Sydney, Australia = \u221233.865.<br \/>\n42.129&gt;0&gt;-33.865<br \/>\nlatitude of Sydney, Australia is closest to the Equator<\/p>\n<p><strong>8.5 The Coordinate Plane (pp. 369\u2013376)<\/strong><br \/>\nLearning Target: Plot and reflect ordered pairs in all four quadrants of a coordinate plane.<\/p>\n<p><strong>Write an ordered pair corresponding to the point.<\/strong><br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25083\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-crr-41.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane crr 41\" width=\"184\" height=\"171\" \/><br \/>\nQuestion 41.<br \/>\nPoint J<br \/>\nAnswer:<br \/>\nThe Point J is located at (-2,0)<br \/>\nExplanation:<br \/>\nThe x- coordinate is-2<br \/>\nThe y- coordinate is 0<\/p>\n<p>Question 42.<br \/>\nPoint K<br \/>\nAnswer:<br \/>\nThe Point K is located at (-2,-4)<br \/>\nExplanation:<br \/>\nThe x- coordinate is -2<br \/>\nThe y- coordinate is -4<\/p>\n<p>Question 43.<br \/>\nPoint L<br \/>\nAnswer:<br \/>\nThe Point L is located at (5,2)<br \/>\nExplanation:<br \/>\nThe x- coordinate is 5<br \/>\nThe y- coordinate is 2<\/p>\n<p>Question 44.<br \/>\nPoint M<br \/>\nAnswer:<br \/>\nThe Point M is located at (-1,3)<br \/>\nExplanation:<br \/>\nThe x- coordinate is -1<br \/>\nThe y- coordinate is 3<\/p>\n<p>Question 45.<br \/>\nPoint N<br \/>\nAnswer:<br \/>\nThe Point N is located at (3,-4)<br \/>\nExplanation:<br \/>\nThe x- coordinate is 3<br \/>\nThe y- coordinate is -4<\/p>\n<p>Question 46.<br \/>\nPoint P<br \/>\nAnswer:<br \/>\nThe Point J is located at (1,0)<br \/>\nExplanation:<br \/>\nThe x- coordinate is 1<br \/>\nThe y- coordinate is 0<\/p>\n<p><strong>Plot the ordered pair in a coordinate plane. Describe the location of the point.<\/strong><br \/>\nQuestion 47.<br \/>\nA (1, 3)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37806\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-47.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-47\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-47.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-47-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-47-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>X coordinate is 1<br \/>\nY coordinate is 3<br \/>\n(1,3)<br \/>\nExplanation:<br \/>\nIt is marked in the Quadrant I as X coordinate is Positive and Y coordinate is Positive as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p>Question 48.<br \/>\nB (0, 3)<br \/>\nAnswer:<br \/>\nX coordinate is 0<br \/>\nY coordinate is 3<br \/>\n(0,3)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37807\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-48.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-48\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-48.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-48-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-48-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><br \/>\nExplanation:<br \/>\nIt is marked in the Quadrant I as X coordinate is Positive and Y coordinate is Positive as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p>Question 49.<br \/>\nC (4, 2)<br \/>\nAnswer:<br \/>\nX coordinate is 4<br \/>\nY coordinate is 2<br \/>\nC (4, 2)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37808\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-49.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-49\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-49.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-49-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-49-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><br \/>\nExplanation:<br \/>\nIt is marked in the Quadrant I as X coordinate is Positive and Y coordinate is Positive as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p>Question 50.<br \/>\nD (- 3, 1)<br \/>\nAnswer:<br \/>\nX coordinate is -3<br \/>\nY coordinate is 1<br \/>\n(-3,1)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37809\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-50.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-50\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-50.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-50-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-50-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><br \/>\nExplanation:<br \/>\nIt is marked in the Quadrant II as X coordinate is Negative and Y coordinate is Positive as shown in the graph.<br \/>\nEach point can be identified by an ordered pair of numbers; that is, a number on the x-axis called an x-coordinate, and a number on the y-axis called a y-coordinate. Ordered pairs are written in parentheses (x-coordinate, y-coordinate).<\/p>\n<p><strong>Reflect the point in (a) the x-axis and (b) the y-axis.<br \/>\n<\/strong>Question 51.<br \/>\n(4, 1)<br \/>\nAnswer:<br \/>\nPlot (4,1) , (4,-1) and (-4,1)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37811\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-51.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-51\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-51.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-51-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-51-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><br \/>\nExplanation:<br \/>\nTo reflect (4,1) in the x axis, use the same x-coordinate, 4,the opposite of the y coordinate.The opposite of y coordinate 1 is -1<br \/>\nTo reflect (4,1) in the y axis, use the same y-coordinate, 1,the opposite of the x coordinate.The opposite of x coordinate 4 is -4<br \/>\nSo the reflection of (4,1)in the x-axis is (4,-1)<br \/>\nSo the reflection of (4,1)in the y-axis is(-4,1)<\/p>\n<p>Question 52.<br \/>\n(- 2, 3)<br \/>\nAnswer:<br \/>\nPlot (- 2, 3) , (-2,-3)<span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">\u00a0<\/span><span style=\"font-size: 16px;\">and (2,3)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37812\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-52.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-52\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-52.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-52-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-52-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><br \/>\n<\/span><\/p>\n<p>Explanation:<br \/>\nTo reflect (- 2, 3) in the x axis, use the same x-coordinate, -2,the opposite of the y coordinate.The opposite of y coordinate 3 is -3<br \/>\nTo reflect (- 2, 3) in the y axis, use the same y-coordinate, 3,the opposite of the x coordinate.The opposite of x coordinate -2 is 2<br \/>\nSo the reflection of (- 2, 3) in the x-axis is <span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">(-2,-3)\u00a0<\/span><br \/>\nSo the reflection of(- 2, 3) in the y-axis is <span style=\"font-size: 16px;\">(2,3)<\/span><\/p>\n<p>Question 53.<br \/>\n(2, &#8211; 5)<br \/>\nAnswer:<br \/>\nPlot (2, &#8211; 5) , (2, 5) and (-2,-5)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37813\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-53.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-53\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-53.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-53-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-53-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><br \/>\nExplanation:<br \/>\nTo reflect (2, &#8211; 5) in the x axis, use the same x-coordinate, 2,the opposite of the y coordinate.The opposite of y coordinate -5 is 5<br \/>\nTo reflect(2, &#8211; 5)in the y axis, use the same y-coordinate, -5,the opposite of the x coordinate.The opposite of x coordinate 2 is -2<br \/>\nSo the reflection of(2, &#8211; 5) in the x-axis is (2, 5)<br \/>\nSo the reflection of (2, &#8211; 5) in the y-axis is(-2,-5)<\/p>\n<p>Question 54.<br \/>\n(- 3.5, &#8211; 2.5)<br \/>\nAnswer:<br \/>\nPlot (- 3.5, &#8211; 2.5), (- 3.5,\u00a0 2.5) and (3.5, &#8211; 2.5)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37814\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-54.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-54\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-54.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-54-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-54-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><br \/>\nExplanation:<br \/>\nTo reflect (- 3.5, &#8211; 2.5) in the x axis, use the same x-coordinate, -3.5,the opposite of the y coordinate.The opposite of y coordinate -2.5 is 2.5<br \/>\nTo reflect (- 3.5, &#8211; 2.5) in the y axis, use the same y-coordinate, -2.5,the opposite of the x coordinate.The opposite of x coordinate -3.5 is 3.5<br \/>\nSo the reflection of (- 3.5, &#8211; 2.5) in the x-axis is (- 3.5,\u00a0 2.5)<br \/>\nSo the reflection of (- 3.5, &#8211; 2.5) in the y-axis is (3.5,\u00a0 -2.5)<\/p>\n<p><strong>Reflect the point in the x-axis followed by the y-axis.<\/strong><br \/>\nQuestion 55.<br \/>\n(1, 2)<br \/>\nAnswer:<br \/>\nPlot (1,2) , (1,-2) and (-1,-2)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37816\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-55.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-55\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-55.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-55-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-55-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><br \/>\nExplanation:<br \/>\nTo reflect (1,2) in the x axis, use the same x-coordinate, 1,the opposite of the y coordinate.The opposite of y coordinate 2 is -2<br \/>\nTo reflect (1,-2) in the y axis, use the same y-coordinate, -2,the opposite of the x coordinate.The opposite of x coordinate 1 is -1<br \/>\nSo the reflection of (1,2)\u00a0 in the x-axis is (1,-2)<br \/>\nSo the reflection of (1,-2) in the y-axis is(-1,-2)<\/p>\n<p>Question 56.<br \/>\n(- 4, 6)<br \/>\nAnswer:<br \/>\nPlot (- 4, 6) , (-4,-6) and (4, -6)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37817\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-56.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-56\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-56.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-56-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-56-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><br \/>\nExplanation:<br \/>\nTo reflect (- 4, 6) in the x axis, use the same x-coordinate, -4,the opposite of the y coordinate.The opposite of y coordinate 6 is -6<br \/>\nTo reflect (- 4, -6) in the y axis, use the same y-coordinate, -6,the opposite of the x coordinate.The opposite of x coordinate -4 is 4<br \/>\nSo the reflection of (- 4, 6) in the x-axis is (-4,-6)<br \/>\nSo the reflection of (-4,-6) in the y-axis is (4, -6)<\/p>\n<p>Question 57.<br \/>\n(3, &#8211; 4)<br \/>\nAnswer:<br \/>\nPlot (3, &#8211; 4) , (3,\u00a0 4) and (-3,\u00a0 4)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37818\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-57.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-57\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-57.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-57-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-57-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><br \/>\nExplanation:<span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">\u00a0<\/span><br \/>\nTo reflect (3, &#8211; 4)in the x axis, use the same x-coordinate, 3,the opposite of the y coordinate.The opposite of y coordinate -4 is 4<br \/>\nTo reflect (3,\u00a0 4) in the y axis, use the same y-coordinate, 4,the opposite of the x coordinate.The opposite of x coordinate 3 is -3<br \/>\nSo the reflection of (3, &#8211; 4) in the x-axis is (3,\u00a0 4)<br \/>\nSo the reflection of (3,\u00a0 4) in the y-axis is (-3,\u00a0 4)<\/p>\n<p>Question 58.<br \/>\n(- 3, &#8211; 3)<br \/>\nAnswer:<br \/>\nPlot (- 3, &#8211; 3) , (-3, 3) and (3, 3)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37821\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-58.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-58\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-58.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-58-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-58-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><br \/>\nExplanation:<br \/>\nTo reflect (- 3, &#8211; 3)in the x axis, use the same x-coordinate, -3,the opposite of the y coordinate.The opposite of y coordinate -3 is 3<br \/>\nTo reflect (-3, 3) in the y axis, use the same y-coordinate, 3,the opposite of the x coordinate.The opposite of x coordinate -3 is 3<br \/>\nSo the reflection of (- 3, &#8211; 3) in the x-axis is (-3, 3)<br \/>\nSo the reflection of(-3, 3) in the y-axis is (3, 3)<\/p>\n<p>Question 59.<br \/>\nUse the map of the town.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25084\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-crr-59.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane crr 59\" width=\"235\" height=\"200\" \/><br \/>\na. Which building is located at(\u22121, 1)?<br \/>\nb. Name a building on the positive x-axis.<br \/>\nc. In which quadrant is the bank located?<br \/>\nd. Write two different ordered pairs that represent the location of the train station.<br \/>\ne. You can find the original location of the movie theater by reflecting its location in the y-axis. What building is now in that location?<br \/>\nAnswer a :<br \/>\nThe Building which is located at (\u22121, 1) is Drug store<\/p>\n<p>Answer b :<br \/>\nThe building on the positive x-axis. is Hospital.<\/p>\n<p>Answer c :<br \/>\nThe bank located is located in Quadrant II.<\/p>\n<p>Answer d :<br \/>\nThe two different ordered pairs that represent the location of the train station are (-1,-3), (-2,-3)<\/p>\n<p>Question 60.<br \/>\nName the ordered pair that is 5 units right and 2 units down from (\u22123, 4).<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37845\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-60.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-60\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-60.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-60-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-60-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><br \/>\nExplanation:<br \/>\nThe ordered pair is located at (-3,4) it is then moved to 5 units right and the 2 units down then the new point is located at ( 2, 2)<\/p>\n<p>Question 61.<br \/>\nA point is reflected in the x-axis. The reflected point is (3, \u22129). What is the original point?<br \/>\nAnswer:<br \/>\nThe reflected point is (3, \u22129)<br \/>\nThe point is (3 , 9)<br \/>\nExplanation:<span style=\"font-size: 16px; font-style: normal; font-weight: 400;\">\u00a0<\/span><br \/>\nThe reflected point in the x axis is (3, -9) It means x-axis reflection means it has same x coordinate and the y coordinate will be the opposite of the y-coordinate. when opposite is -9 then the y coordinate will be 9 .<\/p>\n<p><strong>8.6 Polygons in the Coordinate Plane (pp. 377\u2013382)<\/strong><br \/>\nLearning Target: Draw polygons in the coordinate plane and find distances between points in the coordinate plane.<\/p>\n<p><strong>Draw the polygon with the given vertices in a coordinate plane.<\/strong><br \/>\nQuestion 62.<br \/>\nA (3, 2), B (4, 7), C (6, 0)<br \/>\nAnswer:<br \/>\nPlot the given points .<br \/>\nThe polygon formed after plotting given points is triangle.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37919\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-62.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-62\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-62.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-62-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-62-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 63.<br \/>\nA (1, 2), B (1, &#8211; 7), C (5, &#8211; 7), D (8, 2)<br \/>\nAnswer:<br \/>\nPlot the given points A (1, 2), B (1, &#8211; 7), C (5, &#8211; 7), D (8, 2)<br \/>\nThe polygon formed is Trapezoid<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37921\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-63.jpg\" alt=\"Big-Ideas-Math-Book-1st-Grade-Answer-Key-Chapter-3-More-Addition-and-Subtraction-Situations-More-Addition-and-Subtraction-Situations-Cumulative-Practice-1-3-question-7\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-63.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-63-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-63-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Question 64.<br \/>\nE (\u22121, 3\\(\\frac{1}{2}\\)), F(1, 0), G(-2, 0), H(-4, -3\\(\\frac{1}{2}\\))<br \/>\nAnswer:<br \/>\nE (\u22121, 3\\(\\frac{1}{2}\\)) = E (\u22121, \\(\\frac{7}{2}\\)) = E ( -1, 3.5)<br \/>\nH(-4, -3\\(\\frac{1}{2}\\)) = H(-4, &#8211;\\(\\frac{7}{2}\\)) = H ( -4, &#8211; 3.5)<br \/>\nPlot the points E ( -1, 3.5), F(1, 0), G(-2, 0), H ( -4, &#8211; 3.5).<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37923\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-64.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-64\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-64.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-64-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-64-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p><strong>Find the distance between the points.<\/strong><br \/>\nQuestion 65.<br \/>\n(4, &#8211; 2), (4, &#8211; 5)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37925\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-65.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-65\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-65.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-65-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-65-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Answer:<br \/>\nPlot the points.<br \/>\nThe points are in same Quadrants and have same x-coordinates. The distance between the points is the difference between the points is the difference of the absolute values of the y coordinate.<br \/>\n|-5| &#8211; |-2| = 3<br \/>\nSo the distance between the points (4, &#8211; 2), (4, &#8211; 5) is 3<\/p>\n<p>Question 66.<br \/>\n(7, 2), (- 4, 2)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37928\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-66-1.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-66\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-66-1.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-66-1-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-66-1-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p>Explanation:<br \/>\nPlot the points.<br \/>\nThe points are in different Quadrants and have same y-coordinates. The distance between the points is the sum\u00a0 of the absolute values of the x coordinate.<br \/>\n|-4| + |7| = 4 + 7 = 11<br \/>\nSo the distance between the points (7, 2), (- 4, 2) is 11<\/p>\n<p>Question 67.<br \/>\n(- 1, 6), (- 1, &#8211; 3)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37929\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-67.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-67\" width=\"812\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-67.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-67-300x210.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-67-768x538.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><br \/>\nExplanation:<br \/>\nPlot the points.<br \/>\nThe points are in different Quadrants and have same X-coordinates. The distance between the points is the sum\u00a0 of the absolute values of the x coordinate.<br \/>\n|6| + |-3| = 6 + 3 = 9<br \/>\nSo the distance between the points (- 1, 6), (- 1, &#8211; 3) is 9<\/p>\n<p>Question 68.<br \/>\n(- 5, &#8211; 8) , (- 9, &#8211; 8)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37934\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-68.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-68\" width=\"812\" height=\"596\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-68.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-68-300x220.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-68-768x564.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><br \/>\nExplanation:<br \/>\nPlot the points.<br \/>\nThe points are in same Quadrants and have same y-coordinates. The distance between the points is the difference between the points is the difference of the absolute values of the x coordinate.<br \/>\n|-9| &#8211; |-5| = 9 &#8211; 5 = 4<br \/>\nSo the distance between the points (- 5, &#8211; 8) , (- 9, &#8211; 8) is 4<\/p>\n<p><strong>Find the perimeter and the area of the polygon with the given vertices.<\/strong><br \/>\nQuestion 69.<br \/>\nT (2, 7), U (2, 9), V (5, 9), W(5, 7)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37966\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-69.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-69\" width=\"812\" height=\"596\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-69.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-69-300x220.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-69-768x564.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><br \/>\nExplanation:<br \/>\nPlot the given points<br \/>\nThe polygon formed is rectangle.<br \/>\nThe length of the rectangle = 3 units<br \/>\nThe breadth of the rectangle = 2 units<br \/>\nArea of the Rectangle = length \u00d7 Breadth = 3 \u00d7 2 = 6 sq.units<\/p>\n<p>Question 70.<br \/>\nP (4, &#8211; 3), Q (4, 2), R (9, 2), S (9, -3)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37970\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-70.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-70\" width=\"812\" height=\"596\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-70.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-70-300x220.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-70-768x564.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><br \/>\nExplanation:<br \/>\nPlot the given points<br \/>\nThe polygon formed is Square.<br \/>\nSide of the square = 5<br \/>\nArea of the Square = side \u00d7 side = 5 \u00d7 5 = 25 sq.units<\/p>\n<p>Question 71.<br \/>\nW (- 12, &#8211; 2), X (- 12, 13), Y (5, 13), Z (5, &#8211; 2)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37972\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-71.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-71\" width=\"812\" height=\"596\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-71.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-71-300x220.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-71-768x564.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><br \/>\nExplanation:<br \/>\nPlot the given points<br \/>\nThe polygon formed is rectangle.<br \/>\nThe length of the rectangle = 17 units<br \/>\nThe breadth of the rectangle = 15 units<br \/>\nArea of the Rectangle = length \u00d7 Breadth = 17 \u00d7 15 = 255 sq.units<\/p>\n<p>Question 72.<br \/>\nYou design the quilt shown using a coordinate plane in which the coordinates are measured in inches. The vertices of the quilt are (\u22123, 5), (\u22123, \u22127), (9, 5), and (9, \u22127).<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25085\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-crr-72.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane crr 72\" width=\"186\" height=\"186\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-crr-72.png 186w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-crr-72-150x150.png 150w\" sizes=\"(max-width: 186px) 100vw, 186px\" \/><br \/>\na. Find the perimeter and the area of the quilt.<br \/>\nb. The quilt is made of identical-sized square pieces. What is the area of one of the square pieces?<br \/>\nAnswer a :<br \/>\nThe polygon formed is Square<br \/>\nSide of the square = 12<br \/>\nPerimeter of the square = 4 \u00d7 side = 4 \u00d7 12 = 48 units<br \/>\nArea of the square = side \u00d7 side = 12 \u00d7 12 = 144 sq units<\/p>\n<p>Answer b :<br \/>\nHere the polygon is square<br \/>\nAs per given figure we can see that 12 small squares are formed inside the square.<br \/>\nTotal Side of the square = 12<br \/>\nThe side is having 4 squares. to find the side of small square we should divide side of big square by 4<br \/>\nSide of small square\u00a0 = 12 \u00f7 4 = 3<br \/>\nSide of small square = 3<br \/>\nArea of small square = side \u00d7 side = 3 \u00d7 3 = 9 sq units<\/p>\n<p>Question 73.<br \/>\nDraw a rectangle with a perimeter of 14 units in a coordinate plane where the vertices are in two quadrants.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37977\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-73.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-73\" width=\"812\" height=\"596\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-73.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-73-300x220.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-73-768x564.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><br \/>\nThe length of the rectangle = 4 units<br \/>\nThe breadth of the rectangle = 3 units<\/p>\n<p>Question 74.<br \/>\nDraw a triangle with an area of 21 square units in a coordinate plane where the vertices are not all in the same quadrant.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37978\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-74.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers,-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-74\" width=\"812\" height=\"596\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-74.jpg 812w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-74-300x220.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-74-768x564.jpg 768w\" sizes=\"(max-width: 812px) 100vw, 812px\" \/><\/p>\n<p><strong>8.7 Writing and Graphing Inequalities (pp. 383 &#8211; 390)<\/strong><br \/>\nLearning Target: Write inequalities and represent solutions of inequalities on a number line.<\/p>\n<p><strong>Write the word sentence as an inequality.<\/strong><br \/>\nQuestion 75.<br \/>\nA number m is less than 5.<br \/>\nAnswer:<br \/>\nm &lt; 5<\/p>\n<p>Question 76.<br \/>\nThree times a number h is at least \u2212 12.<br \/>\nAnswer:<br \/>\n3h \u2265 &#8211; 12<\/p>\n<p><strong>Tell whether x = 8 is a solution of the inequality.<\/strong><br \/>\nQuestion 77.<br \/>\n\\(\\frac{x}{2}\\) \u2265 3<br \/>\nAnswer:<br \/>\n\\(\\frac{x}{2}\\) \u2265 3<br \/>\nMultiply by 2 on both sides we get,<br \/>\nx \u2265 6<br \/>\nPut x = 8 then<br \/>\n8 \u2265 6 is true.<br \/>\nSo the given number is a solution for the inequality equation.<\/p>\n<p>Question 78.<br \/>\n13 &#8211; x &gt; 5<br \/>\nAnswer:<br \/>\n13 &#8211; x &gt; 5<br \/>\nsubtract 13 on both sides we get<br \/>\n&#8211; x &gt; -8<br \/>\nMutlipy by &#8211; on both sides we get,<br \/>\nx &gt; 8<br \/>\nPut x= 8 we get,<br \/>\n8 &gt; 8 is wrong.<br \/>\n8 cant be the solution for the inequality equation .<\/p>\n<p>Question 79.<br \/>\n19 &gt; 2x<br \/>\nAnswer:<br \/>\n19 &gt; 2x<br \/>\nDivide by 2 on both sides we get,<br \/>\n9.5 &gt; x<br \/>\nput x = 8 we get,<br \/>\n9.5 &gt; 8 is true.<br \/>\nSo the 8 is the solution for the inequality equation .<\/p>\n<p><strong>Graph the inequality on a number line.<\/strong><br \/>\nQuestion 80.<br \/>\nx &lt; 0<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37982\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-80.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-80\" width=\"626\" height=\"82\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-80.jpg 626w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-80-300x39.jpg 300w\" sizes=\"(max-width: 626px) 100vw, 626px\" \/><\/p>\n<p>Explanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions. Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 81.<br \/>\na \u2265 3<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37983\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-81.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-81\" width=\"620\" height=\"102\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-81.jpg 620w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-81-300x49.jpg 300w\" sizes=\"(max-width: 620px) 100vw, 620px\" \/><\/p>\n<p>Explanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions. Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 82.<br \/>\nn \u2264 &#8211; 1<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37984\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-82.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-82\" width=\"623\" height=\"76\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-82.jpg 623w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-82-300x37.jpg 300w\" sizes=\"(max-width: 623px) 100vw, 623px\" \/><br \/>\nExplanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions. Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 83.<br \/>\nThe speed limit on a road is 35 miles per hour. Write and graph an inequality that represents the legal speeds on the road.<br \/>\nAnswer:<br \/>\nSpeed limit = S = 35 miles per hour<br \/>\nS \u2264 35<br \/>\nSpeed should be 35 or less but not greater than 35 .<br \/>\nBelow graph shows the speed limit<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37985\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-83.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-83\" width=\"615\" height=\"82\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-83.jpg 615w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-83-300x40.jpg 300w\" sizes=\"(max-width: 615px) 100vw, 615px\" \/><br \/>\nExplanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions. Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 84.<br \/>\nWrite an inequality and a word sentence that represent the graph.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25086\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-crr-84.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane crr 84\" width=\"374\" height=\"53\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-crr-84.png 374w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-crr-84-300x43.png 300w\" sizes=\"(max-width: 374px) 100vw, 374px\" \/><br \/>\nAnswer:<br \/>\nx &lt; 3<br \/>\nYou lose 3$ in a match .<\/p>\n<p>Explanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions. Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p><strong>8.8 Solving Inequalities (pp. 391\u2013398)<\/strong><br \/>\nLearning Target: Write and solve inequalities.<\/p>\n<p><strong>Solve the inequality. Graph the solution.<\/strong><br \/>\nQuestion 85.<br \/>\nx + 1 &gt; 3<br \/>\nAnswer:<br \/>\nx + 1 &gt; 3<br \/>\nsubtract 1 on both sides we get,<br \/>\nx &gt; 2<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37986\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-85.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-85\" width=\"638\" height=\"88\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-85.jpg 638w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-85-300x41.jpg 300w\" sizes=\"(max-width: 638px) 100vw, 638px\" \/><br \/>\nExplanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions. Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 86.<br \/>\ny + 8 \u2265 9<br \/>\nAnswer:<br \/>\ny + 8 \u2265 9<br \/>\nsubtract 8 on both sides we get,<br \/>\ny \u2265 1<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37990\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-86.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-86\" width=\"630\" height=\"84\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-86.jpg 630w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-86-300x40.jpg 300w\" sizes=\"(max-width: 630px) 100vw, 630px\" \/><br \/>\nExplanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions. Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 87.<br \/>\nk &#8211; 7 \u2264 0<br \/>\nAnswer:<br \/>\nk &#8211; 7 \u2264 0<br \/>\nAdd 7 on both side we get,<br \/>\nk \u2264 7<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37991\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-87.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-87\" width=\"617\" height=\"80\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-87.jpg 617w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-87-300x39.jpg 300w\" sizes=\"(max-width: 617px) 100vw, 617px\" \/><br \/>\nExplanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions. Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 88.<br \/>\n9n \u2265 63<br \/>\nAnswer:<br \/>\n9n \u2265 63<br \/>\nDivide 9 on both sides we get,<br \/>\nn \u2265 7<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37992\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-88.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-88\" width=\"633\" height=\"85\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-88.jpg 633w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-88-300x40.jpg 300w\" sizes=\"(max-width: 633px) 100vw, 633px\" \/><br \/>\nExplanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions. Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 89.<br \/>\n24 &lt; 11 + x<br \/>\nAnswer:<br \/>\n24 &lt; 11 + x<br \/>\nsubtract 11 on both sides we get,<br \/>\n13 &lt; x<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37994\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-89.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-89\" width=\"621\" height=\"77\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-89.jpg 621w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-89-300x37.jpg 300w\" sizes=\"(max-width: 621px) 100vw, 621px\" \/><br \/>\nExplanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions. Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 90.<br \/>\nx \u00f7 2 &lt; 4<br \/>\nAnswer:<br \/>\nx \u00f7 2 &lt; 4<br \/>\nMultiply by 2 on both sides we get,<br \/>\nx &lt; 8<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37995\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-90.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-90\" width=\"653\" height=\"92\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-90.jpg 653w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-90-300x42.jpg 300w\" sizes=\"(max-width: 653px) 100vw, 653px\" \/><br \/>\nExplanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions. Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 91. 4 \u2264 n &#8211; 4<br \/>\nAnswer:<br \/>\n4 \u2264 n &#8211; 4<br \/>\nAdd 4 on both sides we get,<br \/>\n8 \u2264 n<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37997\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-91.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-91\" width=\"669\" height=\"123\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-91.jpg 669w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-91-300x55.jpg 300w\" sizes=\"(max-width: 669px) 100vw, 669px\" \/><br \/>\nExplanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions. Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 92.<br \/>\n10p &gt; 40<br \/>\nAnswer:<br \/>\n10p &gt; 40<br \/>\nDivide 10 on both sides we get,<br \/>\np &gt; 4<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37998\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-92.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-92\" width=\"656\" height=\"76\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-92.jpg 656w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-92-300x35.jpg 300w\" sizes=\"(max-width: 656px) 100vw, 656px\" \/><br \/>\nExplanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions. Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 93<br \/>\ns &#8211; 1.5 &lt; 2.5<br \/>\nAnswer:<br \/>\ns &#8211; 1.5 &lt; 2.5<br \/>\nAdd 1.5 on both sides we get,<br \/>\ns &lt; 4<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-37999\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-93.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-93\" width=\"647\" height=\"95\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-93.jpg 647w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-93-300x44.jpg 300w\" sizes=\"(max-width: 647px) 100vw, 647px\" \/><br \/>\nExplanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions. Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 94.<br \/>\n\\(\\frac{5}{3}\\)x \u2264 10<br \/>\nAnswer:<br \/>\n\\(\\frac{5}{3}\\)x \u2264 10<br \/>\nMultiply by \\(\\frac{3}{5}\\) on both sides we get,<br \/>\nx \u2264 6<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-38000\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-94.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-94\" width=\"650\" height=\"108\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-94.jpg 650w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-94-300x50.jpg 300w\" sizes=\"(max-width: 650px) 100vw, 650px\" \/><br \/>\nExplanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions. Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 95.<br \/>\n\\(\\frac{1}{4}\\) + m \u2264 \\(\\frac{1}{2}\\)<br \/>\nAnswer:<br \/>\n\\(\\frac{1}{4}\\) + m \u2264 \\(\\frac{1}{2}\\)<br \/>\n0.25 + m \u2264 0.5<br \/>\nSubtract 0.25 on both sides we get,<br \/>\nm \u2264 0.25<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-38001\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-95.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-95\" width=\"613\" height=\"94\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-95.jpg 613w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-95-300x46.jpg 300w\" sizes=\"(max-width: 613px) 100vw, 613px\" \/><br \/>\nExplanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions. Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 96.<br \/>\n\\(\\frac{3}{11}\\)k &lt; 15<br \/>\nAnswer:<br \/>\n\\(\\frac{3}{11}\\)k &lt; 15<br \/>\nmultiply by \\(\\frac{11}{3}\\) on both sides we get,<br \/>\nk &lt; 55<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-38002\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-96.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-96\" width=\"623\" height=\"110\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-96.jpg 623w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Connecting-Concepts-Question-96-300x53.jpg 300w\" sizes=\"(max-width: 623px) 100vw, 623px\" \/><br \/>\nExplanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions. Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 97.<br \/>\nWrite two inequalities that have the same solution set and can be solved using different operations.<br \/>\nAnswer:<br \/>\ns &#8211; 15 &lt; 25<br \/>\n4s\u00a0 &lt; 160<br \/>\nThese are two equations which have same set of solutions that is s &lt; 40.<\/p>\n<p>Question 98.<br \/>\nYou have $15 to spend on a ticket to a movie and snacks. Find the possible amounts you can spend on snacks.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25087\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-crr-98.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane crr 98\" width=\"203\" height=\"127\" \/><br \/>\nAnswer:<br \/>\nTotal Amount with me = $15<br \/>\nCost of movie theater = $ 6<br \/>\nCost of snacks = $15 &#8211; $6 =$ 9<br \/>\nPossible amount can spend on snacks can be lesser than or equal to $9.<\/p>\n<p>Question 99.<br \/>\nYou want to use a square section of your yard for a chicken pen. You have at most 52 feet of fencing to form the pen. Find the possible lengths of each side of the chicken pen.<br \/>\nAnswer:<br \/>\nfencing area of the pen = 52 feet.<br \/>\nFencing is around the square borders which means it is the perimeter of the square<br \/>\nPerimeter of the square = 4 \u00d7 side = 52<br \/>\nside = 52 \u00f7 4 =13<br \/>\nPossible lengths of each side of the chicken pen = 13 feet.<\/p>\n<h3>Integers, Number Lines, and the Coordinate Plane Practice Test<\/h3>\n<p><strong>Order the values from least to greatest.<\/strong><br \/>\nQuestion 1.<br \/>\n0, &#8211; 2, 3, 1, &#8211; 4<br \/>\nAnswer:<br \/>\n0, &#8211; 2, 3, 1, &#8211; 4<br \/>\n-4&lt;-2&lt;0&lt;1&lt;3<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<br \/>\nSo write the numbers which are bigger with negative symbol are smaller arrange all the negative numbers in this order and then follows 0 and positive numbers from least to greatest .<\/p>\n<p>Question 2.<br \/>\n&#8211; 8, |- 3|, |5|, 4, &#8211; 5<br \/>\nAnswer:<br \/>\nAbsolute values of |- 3| = 3 and\u00a0 |5|= 5<br \/>\n&#8211; 8, 3, 5, 4, &#8211; 5<br \/>\n-8&lt;-5&lt;3&lt;4&lt;5<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<br \/>\nSo write the numbers which are bigger with negative symbol are smaller arrange all the negative numbers in this order and then follows 0 and positive numbers from least to greatest .<\/p>\n<p>Question 3.<br \/>\n&#8211; 2.46, &#8211; 2.5, &#8211; 2, 1, &#8211; 2.293<br \/>\nAnswer:<br \/>\n&#8211; 2.46, &#8211; 2.5, &#8211; 2, 1, &#8211; 2.293<br \/>\n-2.5&lt;-2.46&lt;-2.293&lt;-2.1<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<br \/>\nSo write the numbers which are bigger with negative symbol are smaller arrange all the negative numbers in this order and then follows 0 and positive numbers from least to greatest .<\/p>\n<p><strong>Graph the number and its opposite.<\/strong><br \/>\nQuestion 14.<br \/>\n23<br \/>\nAnswer:<br \/>\nThe opposite of 23 is &#8211; 23.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-38006\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-14.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-14\" width=\"618\" height=\"192\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-14.jpg 618w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-14-300x93.jpg 300w\" sizes=\"(max-width: 618px) 100vw, 618px\" \/><\/p>\n<p>Question 15.<br \/>\n&#8211; 1 \\(\\frac{1}{3}\\)<br \/>\nAnswer:<br \/>\n&#8211; 1 \\(\\frac{1}{3}\\) = &#8211; \\(\\frac{4}{3}\\) = &#8211; 1.3<br \/>\nThe opposite of -1.3 is 1.3.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-38007\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-15.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-15\" width=\"618\" height=\"112\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-15.jpg 618w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-15-300x54.jpg 300w\" sizes=\"(max-width: 618px) 100vw, 618px\" \/><\/p>\n<p><strong>Find the absolute value.<\/strong><br \/>\nQuestion 16.<br \/>\n|7|<br \/>\nAnswer:<br \/>\nThe absolute value of |7| = 7<br \/>\nExplanation:<br \/>\nThe absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x . All absolute values are positive.<\/p>\n<p>Question 17.<br \/>\n|- 11|<br \/>\nAnswer:<br \/>\nThe Absolute value of |- 11| = 11<br \/>\nExplanation:<br \/>\nThe absolute value or modulus of a real number x, denoted |x|, is the non-negative value of x without regard to its sign. Namely, |x| = x\u00a0 and |-x| = x . All absolute values are positive.<\/p>\n<p><strong>Copy and complete the statement using &lt;, &gt;, or =.<\/strong><br \/>\nQuestion 18.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25088\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-pt-8.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane pt 8\" width=\"97\" height=\"50\" \/><br \/>\nAnswer:<br \/>\n&#8211;\\(\\frac{2}{3}\\) = -0.66<br \/>\n&#8211;\\(\\frac{3}{5}\\) = &#8211; 0.6<br \/>\n&#8211; 0.66 &lt; &#8211; 0.6<br \/>\nExplanation:<br \/>\nThe Negative Numbers which are near to the 0 are greater.With negative numbers, we have to remember that as the digit gets bigger, the number gets smaller.<\/p>\n<p>Question 19.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25089\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-pt-9.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane pt 9\" width=\"88\" height=\"40\" \/><br \/>\nAnswer:<br \/>\nAbsolute value of |2.5| is 2.5<br \/>\n2.5 = 2.5<\/p>\n<p><strong>Plot the ordered pair in a coordinate plane. Describe the location of the point.<\/strong><br \/>\nQuestion 20.<br \/>\nJ (4, 0)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-38008\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-20.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-20\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-20.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-20-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-20-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>Question 21.<br \/>\nL (1.5, &#8211; 3.5)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-38009\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-21.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-21\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-21.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-21-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-21-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>Question 22.<br \/>\nM (- 2, &#8211; 3)<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-38010\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-22.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-22\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-22.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-22-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-22-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p>Question 23.<br \/>\nReflect (- 5, 1) in (a) the x-axis, (b) the y -axis, and (c) the y -axis followed by the -axis.<br \/>\nPlot the points (- 5, 1) , (-5, -1), (5, 1) and (5, -1)<br \/>\nAnswer a :<br \/>\n(- 5, 1)<br \/>\nExplanation:<br \/>\nTo reflect(- 5, 1) in the x axis, use the same x-coordinate, -5,the opposite of the y coordinate.The opposite of y coordinate 1 is -1<br \/>\nSo the reflection of (- 5, 1) in the x-axis is (-5, -1)<br \/>\nAnswer b :<br \/>\nExplanation:<br \/>\nTo reflect (- 5, 1) in the y axis, use the same y-coordinate, 1,the opposite of the x coordinate.The opposite of x coordinate -5 is 5<br \/>\nSo the reflection of (- 5, 1) in the x-axis is (5, 1)<br \/>\nAnswer c :<br \/>\nTo reflect(- 5, 1) in the x axis, use the same x-coordinate, -5,the opposite of the y coordinate.The opposite of y coordinate 1 is -1<br \/>\nTo reflect (- 5, -1) in the y axis, use the same y-coordinate, -1,the opposite of the x coordinate.The opposite of x coordinate -5 is 5<br \/>\nSo the reflection of (- 5, 1) in the x-axis is (-5, -1)<br \/>\nSo the reflection of (- 5, -1) in the y-axis is (5, -1)<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-38011\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-23.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-23\" width=\"800\" height=\"459\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-23.jpg 800w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-23-300x172.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-23-768x441.jpg 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/p>\n<p><strong>Graph the inequality on a number line.<\/strong><br \/>\nQuestion 24.<br \/>\nx \u2265 5<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-38012\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-24.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-24\" width=\"633\" height=\"82\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-24.jpg 633w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-24-300x39.jpg 300w\" sizes=\"(max-width: 633px) 100vw, 633px\" \/><\/p>\n<p>Explanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions. Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 25.<br \/>\nm \u2264 &#8211; 2<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-38013\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-25.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-25\" width=\"642\" height=\"92\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-25.jpg 642w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-25-300x43.jpg 300w\" sizes=\"(max-width: 642px) 100vw, 642px\" \/><\/p>\n<p>Explanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions. Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p><strong>Solve the inequality. Graph the solution.<\/strong><br \/>\nQuestion 26.<br \/>\nx &#8211; 3 &lt; 7<br \/>\nAnswer:<br \/>\nx &#8211; 3 &lt; 7<br \/>\nAdd 3 on both sides we get,<br \/>\nx &lt; 10<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-38015\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-26-1.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-26\" width=\"645\" height=\"86\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-26-1.jpg 645w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-26-1-300x40.jpg 300w\" sizes=\"(max-width: 645px) 100vw, 645px\" \/><br \/>\nExplanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions. Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 27.<br \/>\n12 \u2265 n + 6<br \/>\nAnswer:<br \/>\n12 \u2265 n + 6<br \/>\nSubtract 6 on both sides we get,<br \/>\n6\u00a0\u2265 n<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-38016\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-27.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-27\" width=\"655\" height=\"76\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-27.jpg 655w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-27-300x35.jpg 300w\" sizes=\"(max-width: 655px) 100vw, 655px\" \/><\/p>\n<p>Explanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions. Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 28.<br \/>\n\\(\\frac{4}{3}\\)b \u2264 12<br \/>\nAnswer:<br \/>\n\\(\\frac{4}{3}\\)b \u2264 12<br \/>\nMultiply \\(\\frac{3}{4}\\) on both sides we get,<br \/>\nb \u2264 9<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-38017\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-28.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-28\" width=\"687\" height=\"116\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-28.jpg 687w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-28-300x51.jpg 300w\" sizes=\"(max-width: 687px) 100vw, 687px\" \/><\/p>\n<p>Explanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions. Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 29.<br \/>\n72 &lt; 12p<br \/>\nAnswer:<br \/>\n72 &lt; 12p<br \/>\nDivide by 12 on both sides we get,<br \/>\n6 &lt; p<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-38018\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-29.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-29\" width=\"649\" height=\"104\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-29.jpg 649w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-29-300x48.jpg 300w\" sizes=\"(max-width: 649px) 100vw, 649px\" \/><\/p>\n<p>Explanation:<br \/>\nUse a open circle that is not a solution . shade the number line where you found the solutions. Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 30.<br \/>\nA hurricane has wind speeds that are greater than or equal to 74 miles per hour. Write an inequality that represents the possible wind speeds during a hurricane.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25090\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-pt-20.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane pt 20\" width=\"231\" height=\"182\" \/><br \/>\nAnswer:<br \/>\nWind speed is greater than or equal to 74 miles per hour .<br \/>\nw \u2265 74<\/p>\n<p>Question 31.<br \/>\nTwo vertices of a triangle are F (1, &#8211; 4) and G(6, &#8211; 4). Find two possible points that represent the third vertex so that the triangle has an area of 20 square units.<br \/>\nAnswer:<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-38019\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-31.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-31\" width=\"959\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-31.jpg 959w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-31-300x178.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Practice-Test-Question-31-768x456.jpg 768w\" sizes=\"(max-width: 959px) 100vw, 959px\" \/><br \/>\nExplanation:<br \/>\nThe possible two vertices are H(6,0) and D(6,-8).<br \/>\nArea of triangle = 20 ( Base \u00d7 Height)<br \/>\nWhen base is 5 units from graph after plotting the given points it will be known<br \/>\nwe have to mark H and D so that the height of triangle should have 4 units ( 20 \u00f7 5) .<\/p>\n<p>Question 32.<br \/>\nThe table shows the melting points (in degrees Celsius) of several elements. Compare the melting point of mercury to the melting point of each of the other elements.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25091\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-pt-22.png\" alt=\"Big Ideas Math Answer Key Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane pt 22\" width=\"492\" height=\"64\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-pt-22.png 492w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answer-Key-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-pt-22-300x39.png 300w\" sizes=\"(max-width: 492px) 100vw, 492px\" \/><br \/>\nAnswer:<br \/>\nMercury &gt; Randon<br \/>\n-38.83 &gt; -71<br \/>\nMercury &lt; Bromine<br \/>\n-38.38 &lt; -7.2<br \/>\nMercury &lt; Cesium<br \/>\n-38.38 &lt; 28.5<br \/>\nMercury &lt;Francium<br \/>\n-38.38 &lt; 27<\/p>\n<h3>Integers, Number Lines, and the Coordinate Plane Cumulative Practice<\/h3>\n<p><img loading=\"lazy\" class=\"alignnone size-full wp-image-25092\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cp-1.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane cp 1\" width=\"290\" height=\"346\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cp-1.png 290w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cp-1-251x300.png 251w\" sizes=\"(max-width: 290px) 100vw, 290px\" \/><br \/>\nQuestion 1.<br \/>\nWhat is the value of the expression when a = 6, b = 5, and c = 4?<br \/>\n8a &#8211; 3c + 5b<br \/>\nA. 11<br \/>\nB. 53<br \/>\nC. 61<br \/>\nD. 107<br \/>\nAnswer:<br \/>\n8a &#8211; 3c + 5b<br \/>\nTake a = 6, b = 5, and c = 4<br \/>\n8\u00d76 -3\u00d74 + 5\u00d75<br \/>\n= 48 &#8211; 12 + 25<br \/>\n=48 +13<br \/>\n=61<br \/>\nOption C is correct<\/p>\n<p>Question 2.<br \/>\nPoint p is plotted in the coordinate plane.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25093\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cp-2.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane cp 2\" width=\"205\" height=\"157\" \/><br \/>\nWhat are the coordinates of point?<br \/>\nF. (- 5, &#8211; 3)<br \/>\nG. (- 5, 3)<br \/>\nH. (- 3, &#8211; 5)<br \/>\nI. (3, &#8211; 5)<br \/>\nAnswer:<br \/>\nP(-5,3)<br \/>\nThe x- coordinate is -5<br \/>\nThe y coordinate is 3<\/p>\n<p>Question 3.<br \/>\nWhat is the value of that makes the equation true?<br \/>\na + 6 = 18<br \/>\nAnswer:<br \/>\na + 6 = 18<br \/>\na = 18 &#8211; 6<br \/>\na = 12<br \/>\nWhen a = 12 then the equation becomes true.<\/p>\n<p>Question 4.<br \/>\nWhich list of values is in order from least to greatest?<br \/>\nA. 2, |- 3|, |4|, &#8211; 6<br \/>\nB. &#8211; 6, |4| , 2, |- 3|<br \/>\nC. &#8211; 6, |- 3| , 2, |4|<br \/>\nD. &#8211; 6, 2, |- 3|, |4|<br \/>\nAnswer:<br \/>\nOption D<br \/>\n-6, 2, |- 3|, |4|<br \/>\nAbsolute values of |- 3|is 3 and\u00a0 |4| is 4<br \/>\nso we get the order as.<br \/>\n-6, 2, 3, 4<\/p>\n<p>Question 5.<br \/>\nWhat is the height of the parallelogram?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25094\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cp-5.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane cp 5\" width=\"223\" height=\"127\" \/><br \/>\nF. 6 meters<br \/>\nG. 12 meters<br \/>\nH. 75 meters<br \/>\nI. 1350 meters<br \/>\nAnswer:<br \/>\nArea of the parallelogram = 90sq mtrs.<br \/>\nBase of the parallelogram = 15m<br \/>\nArea of the parallelogram = Base \u00d7 Height<br \/>\nHeight of the parallelogram = 90 \u00f7 15 = 6 metres.<\/p>\n<p>Question 6.<br \/>\nWhich property is illustrated by the statement?<br \/>\n4 + (6 + n) = (4 + 6) + n<br \/>\nA. Associative Property of Addition<br \/>\nB. Commutative Property of Addition<br \/>\nC. Associative Property of Multiplication<br \/>\nD. Distributive Property<br \/>\nAnswer:<br \/>\nAssociative property of addition: Changing the grouping of addends does not change the sum.<\/p>\n<p>Question 7.<br \/>\nWhich number line shows the graph of x \u2265 5?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25095\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cp-7.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane cp 7\" width=\"393\" height=\"195\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cp-7.png 393w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cp-7-300x149.png 300w\" sizes=\"(max-width: 393px) 100vw, 393px\" \/><br \/>\nAnswer:<br \/>\nNumber line F shows x \u2265 5.<\/p>\n<p>Explanation:<br \/>\nUse a closed circle that is a solution . shade the number line where you found the solutions. Every number on the shaded arrow is solutions of the inequality. so there are infinitely many solutions.<\/p>\n<p>Question 8.<br \/>\nWhich number is the greatest?<br \/>\nA. \\(\\frac{7}{8}\\)<br \/>\nB. 0.86<br \/>\nC. \\(\\frac{22}{25}\\)<br \/>\nD. 85%<br \/>\nAnswer:<br \/>\nA. \\(\\frac{7}{8}\\) = 0.875<br \/>\nB. 0.86<br \/>\nC. \\(\\frac{22}{25}\\) =0.88<br \/>\nD. 85% = 0.85<br \/>\nOption is the greatest number 0.88<\/p>\n<p>Question 9.<br \/>\nWhat is the area of the shaded region?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25096\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cp-9.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane cp 9\" width=\"151\" height=\"129\" \/><br \/>\nF. 23 units<sup>2<\/sup><br \/>\nG. 40 units<sup>2<\/sup><br \/>\nH. 48 units<sup>2<\/sup><br \/>\nI. 60 units<sup>2<\/sup><br \/>\nAnswer:<br \/>\nArea of the Rectangle = Length \u00d7 Breadth = 7 \u00d7 8 =56 units<sup>2<\/sup><br \/>\nArea of the triangle = base \u00d7 Height = 4 \u00d7 4 =16 units<sup>2<\/sup><br \/>\nArea of the shaded region = Area of the rectangle &#8211; Area of the Triangle = 56 &#8211; 16 = 40 units<sup>2<\/sup><\/p>\n<p>Question 10.<br \/>\nWrite 23.5% as a decimal.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25097\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cp-10.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane cp 10\" width=\"96\" height=\"61\" \/><br \/>\nAnswer:<br \/>\n23.5% when % is removed we should divide the number by 100<br \/>\n23.5 \u00f7 100 = 0.235 .<br \/>\nThe decimal point is moved two points to the left .<\/p>\n<p>Question 11.<br \/>\nUse grid paper to complete the following.<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25098\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cp-11.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane cp 11\" width=\"423\" height=\"213\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cp-11.png 423w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cp-11-300x151.png 300w\" sizes=\"(max-width: 423px) 100vw, 423px\" \/><br \/>\nPart A Draw an x-axis and a y-axis of a coordinate plane. Then plot and label the point (2, 3).<br \/>\nPart B Plot and label four points that are 3 units away from (2, &#8211; 3).<br \/>\nAnswer:<img loading=\"lazy\" class=\"alignnone size-full wp-image-38020\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Cumulative-Practice-Question-11.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane- Integers-Number-Lines-and-the-Coordinate-Plane-Cumulative-Practice-Question-11\" width=\"959\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Cumulative-Practice-Question-11.jpg 959w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Cumulative-Practice-Question-11-300x178.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Cumulative-Practice-Question-11-768x456.jpg 768w\" sizes=\"(max-width: 959px) 100vw, 959px\" \/><\/p>\n<p>Question 12.<br \/>\nWhat is the perimeter of the rectangle with the vertices shown below?<br \/>\nA (- 4, &#8211; 1), B (- 4, 7), C (1, 7), D (1, &#8211; 1)<br \/>\nA. 8 units<br \/>\nB. 13 units<br \/>\nC. 26 units<br \/>\nD. 40 units<br \/>\nAnswer:<br \/>\nOption C = 26 units<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-38021\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Cumulative-Practice-Question-12.jpg\" alt=\"Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane- Integers-Number-Lines-and-the-Coordinate-Plane-Cumulative-Practice-Question-12\" width=\"959\" height=\"569\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Cumulative-Practice-Question-12.jpg 959w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Cumulative-Practice-Question-12-300x178.jpg 300w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Book-6th-Grade-Answer-Key-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-Integers-Number-Lines-and-the-Coordinate-Plane-Cumulative-Practice-Question-12-768x456.jpg 768w\" sizes=\"(max-width: 959px) 100vw, 959px\" \/><br \/>\nExplanation:<br \/>\nFrom the graph we know<br \/>\nlength of the rectangle = 8<br \/>\nBreadth of the rectangle =5<br \/>\nPerimeter of the rectangle = 2 ( length + breadth) = 2 ( 8 + 5) = 2 ( 13) = 26 units<\/p>\n<p>Question 13.<br \/>\nWhich net does not form a cube?<br \/>\n<img loading=\"lazy\" class=\"alignnone size-full wp-image-25099\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cp-13.png\" alt=\"Big Ideas Math Answers 6th Grade Chapter 8 Integers, Number Lines, and the Coordinate Plane cp 13\" width=\"407\" height=\"197\" srcset=\"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cp-13.png 407w, https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/01\/Big-Ideas-Math-Answers-6th-Grade-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane-cp-13-300x145.png 300w\" sizes=\"(max-width: 407px) 100vw, 407px\" \/><br \/>\nAnswer:<br \/>\n2, 3, 5, 10, 11 and 16 cannot\u00a0make a cube\u00a0and they\u00a0are\u00a0non-nets.<br \/>\nOption G does not form a cube.<\/p>\n<p>Question 14.<br \/>\nWhich value of makes the equation true?<br \/>\n\\(\\frac{3}{4}\\)y = 12<br \/>\nA. 9<br \/>\nB. 11\\(\\frac{1}{4}\\)<br \/>\nC. 12\\(\\frac{3}{4}\\)<br \/>\nD. 16<br \/>\nAnswer:<br \/>\nOption A is correct<br \/>\nExplanation:<br \/>\n\\(\\frac{3}{4}\\)y = 12<br \/>\nDivide by \\(\\frac{4}{3}\\) on both sides we get,<br \/>\ny = 9<\/p>\n<p>Hope you are happy with the information given above. Get the Big Ideas Math Answer Grade 6 Integers, Number Lines, and the Coordinate Plane pdf&#8217;s for free of cost. You can get the various information of all math concepts at our site. Therefore, save our site to your favourites and also share it with your friends and peers to make your preparation success. Click on the subscribe button to get the instant updates of all the math concepts and preparation materials.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Searching for the best material for Integers, Number Lines, and Coordinate Plane? If yes, then there is a one-stop solution for your search. We are providing the Big Ideas Math Book 6th Grade Answers Ch 8 Integers, Number Lines, and the Coordinate Plane pdf in the next sections. Follow our material and make your preparation &#8230; <a title=\"Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane\" class=\"read-more\" href=\"https:\/\/bigideasmathanswers.com\/big-ideas-math-answers-grade-6-chapter-8\/\" aria-label=\"More on Big Ideas Math Answers Grade 6 Chapter 8 Integers, Number Lines, and the Coordinate Plane\">Read more<\/a><\/p>\n","protected":false},"author":9,"featured_media":89719,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[4],"tags":[],"jetpack_featured_media_url":"https:\/\/bigideasmathanswers.com\/wp-content\/uploads\/2021\/04\/Big-Ideas-Math-Answers-Grade-6-Chapter-8-Integers-Number-Lines-and-the-Coordinate-Plane.png","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/24893"}],"collection":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/users\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=24893"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/24893\/revisions"}],"predecessor-version":[{"id":90304,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/24893\/revisions\/90304"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media\/89719"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=24893"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=24893"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=24893"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}