{"id":5757,"date":"2022-03-25T13:44:35","date_gmt":"2022-03-25T08:14:35","guid":{"rendered":"https:\/\/ccssmathanswers.com\/?p=5757"},"modified":"2022-04-07T12:57:57","modified_gmt":"2022-04-07T07:27:57","slug":"go-math-grade-7-answer-key-chapter-1-adding-and-subtracting-integers","status":"publish","type":"post","link":"https:\/\/bigideasmathanswers.com\/go-math-grade-7-answer-key-chapter-1-adding-and-subtracting-integers\/","title":{"rendered":"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers"},"content":{"rendered":"<p>Are you searching for Go Math Grade 7 Solutions? then what are you waiting for Download <a href=\"https:\/\/ccssmathanswers.com\/go-math-grade-7-answer-key\/\" target=\"_blank\" rel=\"noopener noreferrer\">Go Math Grade 7 Answer Key<\/a> Chapter 1 Adding and Subtracting Integers pdf for free of cost. Here we are providing the step by step explanation for all the questions in Go Math Grade 7 Answer Key for Chapter 1 Adding and Subtracting Integers.<\/p>\n<h2>Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers<\/h2>\n<p>We suggest the students check out the topics of Grade 7 chapter 1 before you start your preparation for exams. The chapter Adding and Subtracting Integers contains topics such as Adding Integers with the Same Sign, Different sign, Subtracting Integers, Applying Addition and Subtraction of Integers, and so on. Tap the below links and try to solve the questions provided in the Go Math Grade 7 Solution Key Chapter 1 Adding and Subtracting Integers.<\/p>\n<p><strong>Chapter 1 &#8211; Adding Integers with the Same Sign<\/strong><\/p>\n<ul>\n<li><a href=\"#Adding_Integers_with_the_Same_Sign_Guided_Practice_Page_No_10\">Adding Integers with the Same Sign &#8211; Guided Practice &#8211; Page No. 10<\/a><\/li>\n<li><a href=\"#Adding_Integers_with_the_Same_Sign_Independent_Practice_Page_No_11\">Adding Integers with the Same Sign &#8211; Independent Practice &#8211; Page No. 11<\/a><\/li>\n<li><a href=\"#Adding_Integers_with_the_Same_Sign_Page_No_12\">Adding Integers with the Same Sign &#8211; Page No. 12<\/a><\/li>\n<\/ul>\n<p><strong>Chapter 1 &#8211; Adding Integers with Different Signs<\/strong><\/p>\n<ul>\n<li><a href=\"#Adding_Integers_with_the_Different_Sign_Guided_Practice_Page_No_16\">Adding Integers with Different Signs &#8211; Guided Practice &#8211; Page No. 16<\/a><\/li>\n<li><a href=\"#Adding_Integers_with_the_Different_Sign_Independent_Practice_Page_No_17\">Adding Integers with Different Signs &#8211; Independent Practice &#8211; Page No. 17<\/a><\/li>\n<li><a href=\"#Adding_Integers_with_the_Different_Sign_Page_No_18\">Adding Integers with Different Signs &#8211; Page No. 18<\/a><\/li>\n<\/ul>\n<p><strong>Chapter 1 &#8211; Subtracting Integers<\/strong><\/p>\n<ul>\n<li><a href=\"#Subtracting_Integers_Guided_Practice_Page_No_22\">Subtracting Integers &#8211; Guided Practice &#8211; Page No. 22<\/a><\/li>\n<li><a href=\"#Subtracting_Integers_Independent_Practice_Page_No_23\">Subtracting Integers &#8211; Independent Practice &#8211; Page No. 23<\/a><\/li>\n<li><a href=\"#Subtracting_Integers_Page_No_24\">Subtracting Integers &#8211; Page No. 24<\/a><\/li>\n<\/ul>\n<p><strong>Chapter 1 &#8211; Applying Addition and Subtraction of Integers<\/strong><\/p>\n<ul>\n<li><a href=\"#Applying_Addition_and_Subtraction_of_Integers_Guided_Practice_Page_No_28\">Applying Addition and Subtraction of Integers &#8211; Guided Practice &#8211; Page No. 28<\/a><\/li>\n<li><a href=\"#Applying_Addition_and_Subtraction_of_Integers_Independent_Practice_Page_No_29\">Applying Addition and Subtraction of Integers &#8211; Independent Practice &#8211; Page No. 29<\/a><\/li>\n<\/ul>\n<p><strong>Chapter 1 &#8211; MODULE 1<\/strong><\/p>\n<ul>\n<li><a href=\"#Module_Quiz_Ready_to_Go_On_Page_No_31\">Module Quiz &#8211; Ready to Go On &#8211; Page No. 31<\/a><\/li>\n<li><a href=\"#Module_Quiz_MODULE_1_MIXED_REVIEW_Page_No_32\">Module Quiz &#8211; MODULE 1 MIXED REVIEW &#8211; Page No. 32<\/a><\/li>\n<li><a href=\"#MODULE_1_MIXED_REVIEW\">MODULE 1 MIXED REVIEW<\/a><\/li>\n<li><a href=\"#Module_1_Review_Adding_and_Subtracting_Integers_Page_No_103\">Module 1 Review &#8211; Adding and Subtracting Integers &#8211; Page No. 103<\/a><\/li>\n<\/ul>\n<h3><a id=\"Adding_Integers_with_the_Same_Sign_Guided_Practice_Page_No_10\"><\/a>Adding Integers with the Same Sign &#8211; Guided Practice &#8211; Page No. 10<\/h3>\n<p><strong>Find each sum.<\/strong><\/p>\n<p>Question 1.<br \/>\n-5 + (-1)<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-1.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Lesson 1: Adding Integers with the Same Sign img 1\" width=\"156\" height=\"63\" \/><br \/>\na. How many counters are there?<br \/>\n_______ counters<\/p>\n<p>Answer: 6<\/p>\n<p>Explanation:<br \/>\nBy seeing the above pictures we can say that there are 6 counters.<\/p>\n<p>Question 1.<br \/>\nb. Do the counters represent positive or negative numbers?<br \/>\n____________<\/p>\n<p>Answer: negative numbers<\/p>\n<p>Explanation:<br \/>\nThe counters are red so they represent negative numbers.<\/p>\n<p>Question 1.<br \/>\nc. -5 + (-1) =<br \/>\n_______<\/p>\n<p>Answer: -6<\/p>\n<p>Explanation:<br \/>\nThere are 6 counters so -5 + (-1) = &#8211; 6<\/p>\n<p>Question 2.<br \/>\n-2 + (-7)<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-2.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Lesson 1: Adding Integers with the Same Sign img 2\" width=\"218\" height=\"63\" \/><br \/>\na. How many counters are there?<br \/>\n_______ counters<\/p>\n<p>Answer: 9<\/p>\n<p>Explanation:<br \/>\nThe above figure shows that there are 9 counters.<\/p>\n<p>Question 2.<br \/>\nb. Do the counters represent positive or negative numbers?<br \/>\n____________<\/p>\n<p>Answer: negative numbers<\/p>\n<p>Explanation:<br \/>\nThe counters are red so they represent the negative numbers.<\/p>\n<p>Question 2.<br \/>\nc. -2 + (-7) =<br \/>\n_______<\/p>\n<p>Answer: -9<\/p>\n<p>Explanation:<br \/>\nThere are 9 counters so -2 + (-7) = -9<br \/>\nThe answer is -9.<\/p>\n<p><strong>Model each addition problem on the number line to find each sum.<\/strong><\/p>\n<p>Question 3.<br \/>\n-5 + (-2) =<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-3.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Lesson 1: Adding Integers with the Same Sign img 3\" width=\"213\" height=\"38\" \/><br \/>\n_______<\/p>\n<p>Answer: -7<\/p>\n<p>Explanation:<br \/>\nRemember if the number being added is positive more number of units going to the right and if the number being added is negative more number of units to the left.<br \/>\nSince we are adding the negative number starting from -5, we move 2 units to the left. This results in -7.<\/p>\n<p>Question 4.<br \/>\n-1 + (-3) =<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-4.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Lesson 1: Adding Integers with the Same Sign img 4\" width=\"210\" height=\"37\" \/><br \/>\n_______<\/p>\n<p>Answer: -4<\/p>\n<p>Explanation:<br \/>\nRemember if the number being added is positive more number of units going to the right and if the number being added is negative more number of units to the left.<br \/>\nSince we are adding a negative number starting from -1, we move 3 units to left. This results in -4.<\/p>\n<p>Question 5.<br \/>\n-3 + (-7) =<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-5.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Lesson 1: Adding Integers with the Same Sign img 5\" width=\"218\" height=\"38\" \/><br \/>\n_______<\/p>\n<p>Answer: -10<\/p>\n<p>Explanation:<br \/>\nRemember if the number being added is positive more number of units going to the right and if the number being added is negative more number of units to the left.<br \/>\nSince we are adding a negative number starting from -3, we move 7 units to left. This results in -10.<\/p>\n<p>Question 6.<br \/>\n-4 + (-1) =<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-6.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Lesson 1: Adding Integers with the Same Sign img 6\" width=\"212\" height=\"37\" \/><br \/>\n_______<\/p>\n<p>Answer: -5<\/p>\n<p>Explanation:<br \/>\nRemember if the number being added is positive more number of units going to the right and if the number being added is negative more number of units to the left.<br \/>\nSince we are adding a negative number starting from -4, we move 1 unit to left. This results in -5.<\/p>\n<p>Question 7.<br \/>\n-2 + (-2) =<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-7.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Lesson 1: Adding Integers with the Same Sign img 7\" width=\"209\" height=\"39\" \/><br \/>\n_______<\/p>\n<p>Answer: -4<\/p>\n<p>Explanation:<br \/>\nRemember if the number being added is positive more number of units going to the right and if the number being added is negative more number of units to the left.<br \/>\nSince we are adding the negative number starting -2, we move 2 units to the left which gives the result -4.<\/p>\n<p>Question 8.<br \/>\n-6 + (-8) =<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-8.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Lesson 1: Adding Integers with the Same Sign img 8\" width=\"219\" height=\"36\" \/><br \/>\n_______<\/p>\n<p>Answer: -14<\/p>\n<p>Explanation:<br \/>\nRemember if the number being added is positive more number of units going to the right and if the number being added is negative more number of units to the left.<br \/>\nSince we are adding the negative number starting from -6 we have to move 8 units to left which shows the result -14.<\/p>\n<p><strong>Find each sum.<\/strong><\/p>\n<p>Question 9.<br \/>\n-5 + (-4) =<br \/>\n_______<\/p>\n<p>Answer: -9<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same signs you add both the integers and keep the common sign.<br \/>\nSince -5 + (-4) has the same sign we add their absolute value and keep the same sign.<br \/>\n-5 + (-4) = -(5 + 4) = -9<\/p>\n<p>Question 10.<br \/>\n-1 + (-10) =<br \/>\n_______<\/p>\n<p>Answer: -11<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same signs you add both the integers and keep the common sign.<br \/>\nSince -1 + (-10) has the same sign we add their absolute value and keep the same sign.<br \/>\n-1 + (-10) = -(1 + 10)<br \/>\n= -11<br \/>\nSo the answer is -11.<\/p>\n<p>Question 11.<br \/>\n-9 + (-1) =<br \/>\n_______<\/p>\n<p>Answer: -10<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same signs you add both the integers and keep the common sign.<br \/>\nSince -9 + (-1) has the same sign we add their absolute value and keep the same sign.<br \/>\n-9 + -1 = -(9 + 1)<br \/>\n= -10<br \/>\nThus the answer is -10.<\/p>\n<p>Question 12.<br \/>\n-90 + (-20) =<br \/>\n_______<\/p>\n<p>Answer: -110<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same signs you add both the integers and keep the common sign.<br \/>\nSince -90 + (-20) has the same sign we add their absolute value and keep the same sign.<br \/>\n-90 + (-20) = -(90 + 20)<br \/>\n= -110<br \/>\nThe answer is -110.<\/p>\n<p>Question 13.<br \/>\n-52 + (-48) =<br \/>\n_______<\/p>\n<p>Answer: -100<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same signs you add both the integers and keep the common sign.<br \/>\nSince -52 + (-48) has the same sign we add their absolute value and keep the same sign.<br \/>\n-52 + (-48) = -(52 + 48)<br \/>\n= -100<br \/>\nThe answer is -100.<\/p>\n<p>Question 14.<br \/>\n5 + 198 =<br \/>\n_______<\/p>\n<p>Answer: 203<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same signs you add both the integers and keep the common sign.<br \/>\nSince 5 + 198 has the same sign we add their absolute value and keep the same sign.<br \/>\n5 + 198 = 203<br \/>\nThe answer is 203.<\/p>\n<p>Question 15.<br \/>\n-4 + (-5) + (-6) =<br \/>\n_______<\/p>\n<p>Answer: -15<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same signs you add both the integers and keep the common sign.<br \/>\nSince -4 + (-5) + (-6) has the same sign we add their absolute value and keep the same sign.<br \/>\n-4 + (-5) + (-6) = -(4 + 5 + 6)<br \/>\n= -15<br \/>\nThe answer is -15.<\/p>\n<p>Question 16.<br \/>\n-50 + (-175) + (-345) =<br \/>\n_______<\/p>\n<p>Answer: -570<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same signs you add both the integers and keep the common sign.<br \/>\nSince -50 + (-175) + (-345) has the same sign we add their absolute value and keep the same sign.<br \/>\n-50 + (-175) + (-345)<br \/>\n= -(50 + 175 + 345)<br \/>\n= -570<br \/>\nThe answer for -50 + (-175) + (-345) is -570.<\/p>\n<p>Question 17.<br \/>\nHow do you add integers with the same sign?<br \/>\nType below:<br \/>\n______________<\/p>\n<p>Answer:<\/p>\n<p>First, you should their absolute values and keep the common sign. If both signs are positive, the answer will be positive. If both signs are negative, the answer will be negative.<\/p>\n<h3><a id=\"Adding_Integers_with_the_Same_Sign_Independent_Practice_Page_No_11\"><\/a>Adding Integers with the Same Sign &#8211; Independent Practice &#8211; Page No. 11<\/h3>\n<p>Question 18.<br \/>\nRepresent Real-World Problems Jane and Sarah both dive down from the surface of a pool. Jane first dives down 5 feet and then dives down 3 more feet. Sarah first dives down 3 feet, and then dives down 5 more feet.<br \/>\na. Multiple Representations Use the number line to model the equation -5 + (-3) = -3 + (-5).<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-9.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Lesson 1: Adding Integers with the Same Sign img 9\" width=\"318\" height=\"225\" \/><br \/>\nType below:<br \/>\n______________<\/p>\n<p>Answer: -8<\/p>\n<p>Explanation:<br \/>\nStart at -3 and move 5 units down for one number line. Next, start at -5 and move down 3 units for another number line.<br \/>\nBoth have a final answer of -8.<br \/>\nSo, -5 + (-3) = -3 + (-5) = -8.<\/p>\n<p>Question 18.<br \/>\nb. Does the order in which you add two integers with the same sign affect the sum? Explain.<br \/>\n_______<\/p>\n<p>Answer: no<\/p>\n<p>Explanation:<\/p>\n<p>Based on the results of part a, the order doesn&#8217;t matter. Since the commutative properties of addition hold for the sum of two negative numbers.<\/p>\n<p>Question 19.<br \/>\nA golfer has the following scores for a 4-day tournament.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-10.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Lesson 1: Adding Integers with the Same Sign img 10\" width=\"298\" height=\"59\" \/><br \/>\nWhat was the golfer\u2019s total score for the tournament?<br \/>\n_______<\/p>\n<p>Answer: -11<\/p>\n<p>Explanation:<br \/>\nThe total score is sum of each day&#8217;s score<br \/>\n= -3 + (-1) + (-5) + (-2)<br \/>\n= -(3 + 1 + 5 + 2)<br \/>\n= -11<br \/>\nThus the total score for 4 days tournament is -11.<\/p>\n<p>Question 20.<br \/>\nA football team loses 3 yards on one play and 6 yards on another play. Write a sum of negative integers to represent this situation. Find the sum and explain how<br \/>\nit is related to the problem.<br \/>\nThe sum = _______<\/p>\n<p>Answer: -9<\/p>\n<p>Explanation:<br \/>\nThe negative sum of 3 yards and 6 yards is<br \/>\n-3 + (-6) = -(3 + 6)<br \/>\n= -9<br \/>\nThus the negative sum is -9.<\/p>\n<p>Question 21.<br \/>\nWhen the quarterback is sacked, the team loses yards. In one game, the quarterback was sacked four times. What was the total sack yardage?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-11.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Lesson 1: Adding Integers with the Same Sign img 11\" width=\"301\" height=\"61\" \/><br \/>\n_______<\/p>\n<p>Answer: -54<\/p>\n<p>Explanation:<br \/>\nThe total sack yardage = -14 + (-5) + (-12) + (-23)<br \/>\n= -(14 + 5 + 12 + 23)<br \/>\n= -54<br \/>\nTherefore the total sack yardage is -54.<\/p>\n<p>Question 22.<br \/>\nMultistep The temperature in Jonestown and Cooperville was the same at 1:00. By 2:00, the temperature in Jonestown dropped 10 degrees, and the temperature in Cooperville dropped 6 degrees. By 3:00, the temperature in Jonestown dropped 8 more degrees, and the temperature in Cooperville dropped 2 more degrees.<br \/>\na. Write an equation that models the change to the temperature in Jonestown since 1:00.<br \/>\nType below:<br \/>\n______________<\/p>\n<p>Answer: J = T &#8211; 18<\/p>\n<p>Explanation:<br \/>\nLet J be the final temperature and T be the initial temperature. Then the equation is J = T + (-10) + (-8)<br \/>\nJ = T &#8211; 18<\/p>\n<p>Question 22.<br \/>\nb. Write an equation that models the change to the temperature in Cooperville since 1:00.<br \/>\nType below:<br \/>\n______________<\/p>\n<p>Answer: C = T &#8211; 8<\/p>\n<p>Explanation:<br \/>\nLet C be the final temperature and T be the initial temperature. Then the equation is C = T + (-6) + (-2)<br \/>\nC = T &#8211; 8<\/p>\n<p>Question 22.<br \/>\nc. Where was it colder at 3:00, in Jonestown or Cooperville?<br \/>\n__________<\/p>\n<p>Answer: Jonestown<\/p>\n<p>Explanation:<br \/>\nSince they both started at the same temperature and Jonestown dropped a total of 18 degrees while Cooperville dropped a total of 8 degrees, Jonestown is colder.<\/p>\n<h3><a id=\"Adding_Integers_with_the_Same_Sign_Page_No_12\"><\/a>Adding Integers with the Same Sign &#8211; Page No. 12<\/h3>\n<p>Question 23.<br \/>\nRepresent Real-World Problems Julio is playing a trivia game. On his first turn, he lost 100 points. On his second turn, he lost 75 points. On his third turn, he lost 85 points. Write a sum of three negative integers that models the change to Julio\u2019s score after his first three turns.<br \/>\nType below:<br \/>\n______________<\/p>\n<p>Answer: -260 points<\/p>\n<p>Explanation:<br \/>\nThe change in his total score is the sum of the losses = -100 + (-75) + (-85)<br \/>\n= -(100 + 75 + 85)<br \/>\n= -260 points<br \/>\nThus Julio&#8217;s score after his first three turns is -260 points.<\/p>\n<p><strong>H.O.T. FOCUS ON HIGHER ORDER THINKING<\/strong><\/p>\n<p>Question 24.<br \/>\nMultistep On Monday, Jan made withdrawals of $25, $45, and $75 from her savings account. On the same day, her twin sister Julie made withdrawals of $35, $55, and $65 from her savings account.<br \/>\na. Write a sum of negative integers to show Jan\u2019s withdrawals on Monday. Find the total amount Jan withdrew.<br \/>\nJan withdrew $ _______<\/p>\n<p>Answer: 145<\/p>\n<p>Explanation:<br \/>\nEach withdrawal is represented by a negative integer so find the sum of those negative integers = -25 + (-45) + (-75)<br \/>\n= -(25 + 45 + 75)<br \/>\n= -145<br \/>\nThus Jan withdrew $145.<\/p>\n<p>Question 24.<br \/>\nb. Write a sum of negative integers to show Julie\u2019s withdrawals on Monday. Find the total amount Julie withdrew.<br \/>\nJulie withdrew $ _______<\/p>\n<p>Answer: 155<\/p>\n<p>Explanation:<br \/>\nEach withdrawal is represented by a negative integer so find the sum of those negative integers<br \/>\n= -35 + (-55) + (-65)<br \/>\n= &#8211; (35 + 55 + 65)<br \/>\n= -155<br \/>\nThe total amount Julie withdrew is -$155.<\/p>\n<p>Question 24.<br \/>\nc. Julie and Jan\u2019s brother also withdrew money from his savings account on Monday. He made three withdrawals and withdrew $10 more than Julie did. What are three possible amounts he could have withdrawn?<br \/>\nType below:<br \/>\n______________<\/p>\n<p>Answer:<\/p>\n<p>If he withdrew $10 more than Julie then he withdrew $165 in total. The possible amounts could then be $35, $55, $75.<\/p>\n<p>Question 25.<br \/>\nCommunicate Mathematical Ideas Why might you want to use the Commutative Property to change the order of the integers in the following sum before adding?<br \/>\n-80 + (-173) + (-20)<br \/>\nType below:<br \/>\n______________<\/p>\n<p>Answer: You can add 80 and 20 easily to get 100 which is then easier to add 173. So changing the order makes the problem easier to do mentally.<\/p>\n<p>Question 26.<br \/>\nCritique Reasoning The absolute value of the sum of two different integers with the same sign is 8. Pat says there are three pairs of integers that match this description. Do you agree? Explain.<br \/>\n__________<\/p>\n<p>Answer: Disagree<\/p>\n<p>Explanation:<br \/>\nPat is saying that x + y = 8 is true for only three pairs of numbers with the same sign. This is not true though. The pairs could be 1, 7, 2 and 6, 3, 5, 4 and -4, -1 and -7, -2 and -6, -3 and -5 and -4, -4.<\/p>\n<h3><a id=\"Adding_Integers_with_the_Different_Sign_Guided_Practice_Page_No_16\"><\/a>Adding Integers with Different Signs &#8211; Guided Practice &#8211; Page No. 16<\/h3>\n<p><strong>Use a number line to find each sum.<\/strong><\/p>\n<p>Question 1.<br \/>\n9 + (-3) =<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-12.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Lesson 2: Adding Integers with Different Signs img 12\" width=\"217\" height=\"42\" \/><br \/>\n_______<\/p>\n<p>Answer: 6<\/p>\n<p>Explanation:<br \/>\nRemember if the number being added is positive more number of units going to the right and if the number being added is negative more number of units to the left.<br \/>\nSince we are adding a negative number starting from 9, move 3 units to the left. This results in 6.<\/p>\n<p>Question 2.<br \/>\n-2 + 7 =<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-13.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Lesson 2: Adding Integers with Different Signs img 13\" width=\"225\" height=\"42\" \/><br \/>\n_______<\/p>\n<p>Answer: 5<\/p>\n<p>Explanation:<br \/>\nRemember if the number being added is positive more number of units going to the right and if the number being added is negative more number of units to the left.<br \/>\nSince we are adding a positive number starting from -2 we move 7 units to the right. This results in 5.<\/p>\n<p>Question 3.<br \/>\n-15 + 4 =<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-14.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Lesson 2: Adding Integers with Different Signs img 14\" width=\"230\" height=\"44\" \/><br \/>\n_______<\/p>\n<p>Answer: -11<\/p>\n<p>Explanation:<br \/>\nRemember if the number being added is positive more number of units going to the right and if the number being added is negative more number of units to the left.<br \/>\nSince we are adding a positive number starting from -15, we move 4 units to the right. This results in -11<\/p>\n<p>Question 4.<br \/>\n1 + (-4) =<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-15.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Lesson 2: Adding Integers with Different Signs img 15\" width=\"220\" height=\"42\" \/><br \/>\n_______<\/p>\n<p>Answer: -3<\/p>\n<p>Explanation:<br \/>\nRemember if the number being added is positive more number of units going to the right and if the number being added is negative more number of units to the left.<br \/>\nSince we are adding the negative number starting from 1, we move 4 units to the left. This results in -3.<\/p>\n<p><strong>Circle the zero pairs in each model. Find the sum.<\/strong><\/p>\n<p>Question 5.<br \/>\n-4 + 5 =<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-16.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Lesson 2: Adding Integers with Different Signs img 16\" width=\"194\" height=\"62\" \/><br \/>\n_______<\/p>\n<p>Answer: 1<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same sign, add their absolute value, and keep the common sign.<br \/>\nWhen adding two integers with opposite signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.<br \/>\nAbove is an illustration of which are the zero pairs and what remains. In this item 1 yellow counter remains which means the sum is 1.<\/p>\n<p>Question 6.<br \/>\n-6 + 6 =<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-17.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Lesson 2: Adding Integers with Different Signs img 17\" width=\"253\" height=\"64\" \/><br \/>\n_______<\/p>\n<p>Answer: 0<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same sign, add their absolute value, and keep the common sign.<br \/>\nWhen adding two integers with opposite signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.<br \/>\nAbove is an illustration of which are the zero pairs and what remains. In this item, there are no counters so the sum is 0.<\/p>\n<p>Question 7.<br \/>\n2 + (-5) =<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-18.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Lesson 2: Adding Integers with Different Signs img 18\" width=\"177\" height=\"62\" \/><br \/>\n_______<\/p>\n<p>Answer: -3<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same sign, add their absolute value, and keep the common sign.<br \/>\nWhen adding two integers with opposite signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.<br \/>\nAbove is an illustration of which are the zero pairs and what remains. In this item, 3 red counters are remaining so the sum is -3.<\/p>\n<p>Question 8.<br \/>\n-3 + 7 =<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-19.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Lesson 2: Adding Integers with Different Signs img 19\" width=\"254\" height=\"65\" \/><br \/>\n_______<\/p>\n<p>Answer: 4<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same sign, add their absolute value, and keep the common sign.<br \/>\nWhen adding two integers with opposite signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.<br \/>\nAbove is an illustration of which are the zero pairs and what remains. In this item, 4 yellow counters remain so the sum is 4.<\/p>\n<p><strong>Find each sum.<\/strong><\/p>\n<p>Question 9.<br \/>\n-8 + 14 =<br \/>\n_______<\/p>\n<p>Answer: 6<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same sign, add their absolute value, and keep the common sign.<br \/>\nWhen adding two integers with opposite signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.<br \/>\nHere we are the opposite number with the negative number.<br \/>\n-8 + 14 = 6<br \/>\nThe larger number is having a positive sign so the sum is 6.<\/p>\n<p>Question 10.<br \/>\n7 + (-5) =<br \/>\n_______<\/p>\n<p>Answer: 2<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same sign, add their absolute value, and keep the common sign.<br \/>\nWhen adding two integers with opposite signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.<br \/>\n7 + (-5) = 7 &#8211; 5 = 2<br \/>\nThe larger number is having a positive sign so the sum is 2.<\/p>\n<p>Question 11.<br \/>\n5 + (-21) =<br \/>\n_______<\/p>\n<p>Answer: -16<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same sign, add their absolute value, and keep the common sign.<br \/>\nWhen adding two integers with opposite signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.<br \/>\n5 + (-21) = 5 &#8211; 21 = -17<br \/>\nThe larger number is having a negative number so the sum is -17.<\/p>\n<p>Question 12.<br \/>\n14 + (-14) =<br \/>\n_______<\/p>\n<p>Answer: 0<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same sign, add their absolute value, and keep the common sign.<br \/>\nWhen adding two integers with opposite signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.<br \/>\n14 + (-14) =14 &#8211; 14 = 0<\/p>\n<p>Question 13.<br \/>\n0 + (-5) =<\/p>\n<p>Answer: -5<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same sign, add their absolute value, and keep the common sign.<br \/>\nWhen adding two integers with opposite signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.<br \/>\n0 + (-5) = 0 &#8211; 5 = -5<br \/>\nThe larger is having the negative sign so the sum is -5.<\/p>\n<p>Question 14.<br \/>\n32 + (-8) =<br \/>\n_______<\/p>\n<p>Answer: 24<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same sign, add their absolute value, and keep the common sign.<br \/>\nWhen adding two integers with opposite signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.<br \/>\n32 + (-8) = 32 &#8211; 8 = 24<br \/>\nThe larger number is having a positive sign so the sum is 24.<\/p>\n<p>Question 15.<br \/>\nDescribe how to find the sums -4 + 2 and -4 + ( -2 ) on a number line.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer: -2<\/p>\n<p>Explanation:<br \/>\nStart at -4 and move 2 units up for one number line. Next, start at -4 and move down 2 units for another number line.<br \/>\n-4 + 2 = -2<br \/>\n-4 &#8211; 2 = -6<\/p>\n<h3><a id=\"Adding_Integers_with_the_Different_Sign_Independent_Practice_Page_No_17\"><\/a>Adding Integers with Different Signs &#8211; Independent Practice &#8211; Page No. 17<\/h3>\n<p><strong>Find each sum.<\/strong><\/p>\n<p>Question 16.<br \/>\n-15 + 71 =<br \/>\n_______<\/p>\n<p>Answer: 56<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same sign, add their absolute value, and keep the common sign.<br \/>\nWhen adding two integers with opposite signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.<br \/>\n-15 + 71 = |71| &#8211; |-15|<br \/>\n= 71 &#8211; 15<br \/>\n= 56<\/p>\n<p>Question 17.<br \/>\n-53 + 45 =<br \/>\n_______<\/p>\n<p>Answer: -8<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same sign, add their absolute value, and keep the common sign.<br \/>\nWhen adding two integers with opposite signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.<br \/>\n-53 + 45 = |-53| &#8211; |45|<br \/>\n53 &#8211; 45 = 8<br \/>\nThe larger number is having the negative symbol so the answer is -8.<\/p>\n<p>Question 18.<br \/>\n-79 + 79 =<br \/>\n_______<\/p>\n<p>Answer: 0<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same sign, add their absolute value, and keep the common sign.<br \/>\nWhen adding two integers with opposite signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.<br \/>\n79 + (-79) = |79| &#8211; |-79|<br \/>\n79 &#8211; 79 = 0<\/p>\n<p>Question 19.<br \/>\n-25 + 50 =<br \/>\n_______<\/p>\n<p>Answer: 25<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same sign, add their absolute value, and keep the common sign.<br \/>\nWhen adding two integers with opposite signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.<br \/>\n-25 + 50 = |50| &#8211; |-25|<br \/>\n50 &#8211; 25 = 25<\/p>\n<p>Question 20.<br \/>\n18 + (-32) =<br \/>\n_______<\/p>\n<p>Answer: -14<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same sign, add their absolute value, and keep the common sign.<br \/>\nWhen adding two integers with opposite signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.<br \/>\n18 + (-32) = |-32| &#8211; |18|<br \/>\n32 &#8211; 18 = 14<br \/>\nThe larger number is having a negative sign so the answer is -14.<\/p>\n<p>Question 21.<br \/>\n5 + (-100) =<br \/>\n_______<\/p>\n<p>Answer: -95<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same sign, add their absolute value, and keep the common sign.<br \/>\nWhen adding two integers with opposite signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.<br \/>\n5 + (-100) = |-100| &#8211; |5|<br \/>\n100 &#8211; 5 = 95<br \/>\nThe larger number is having a negative sign so the answer is -95.<\/p>\n<p>Question 22.<br \/>\n-12 + 8 + 7 =<br \/>\n_______<\/p>\n<p>Answer: 3<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same sign, add their absolute value, and keep the common sign.<br \/>\nWhen adding two integers with opposite signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.<br \/>\n-12 + 8 + 7 = -12 + (8 + 7)<br \/>\nFor the terms have different signs, we subtract the lesser absolute value from the greater absolute value and use the sign of the integer with the greater absolute value for the sum: 3<br \/>\n-12 + 15 = 3<\/p>\n<p>Question 23.<br \/>\n-8 + (-2) + 3 =<br \/>\n_______<\/p>\n<p>Answer: -7<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same sign, add their absolute value, and keep the common sign.<br \/>\nWhen adding two integers with opposite signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.<br \/>\n-(8 + 2) + 3<br \/>\nFor the terms have different signs, we subtract the lesser absolute value from the greater absolute value and use the sign of the integer with the greater absolute value for the sum: -7<br \/>\n-10 + 3 = -7<\/p>\n<p>Question 24.<br \/>\n15 + (-15) + 200 =<br \/>\n_______<\/p>\n<p>Answer: 200<\/p>\n<p>Explanation:<br \/>\nWe are given the expression:<br \/>\n15 + (-15) + 200 = 0 + 200<br \/>\nThe sum of the opposite number is 0.<br \/>\n0 + 200 = 200<\/p>\n<p>Question 25.<br \/>\n-500 + (-600) + 1200 =<br \/>\n_______<\/p>\n<p>Answer: 100<\/p>\n<p>Explanation:<br \/>\nWe are given the expression:<br \/>\n-500 + (-600) + 1200 = -(500 + 600) + 1200<br \/>\n-1100 + 1200 = +100<\/p>\n<p>Question 26.<br \/>\nA football team gained 9 yards on one play and then lost 22 yards on the next. Write a sum of integers to find the overall change in field position. Explain your answer.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer: -13<\/p>\n<p>Explanation:<br \/>\n9 + (-22)<br \/>\nSince 9 yards are gained, the field position is changed by +9 and since 22 yards are lost the field position will be changed by -22, so we have:<br \/>\n(+9) + (-22) = -(22 &#8211; 9) = -13<br \/>\nWe computer the overall change in field position: -13<\/p>\n<p>Question 27.<br \/>\nA soccer team is having a car wash. The team spent $55 on supplies. They earned $275, including tips. The team\u2019s profit is the amount the team made after paying for supplies. Write a sum of integers that represents the team\u2019s profit.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer: 220<\/p>\n<p>Explanation:<br \/>\n(-55) + (+275)<br \/>\nThe money spent on supplies diminish the profit, so they contribute to the profit with -55, while the earned money increase the profit, so they contribute to the profit with +275.<br \/>\nThe sum of integers that represents the team&#8217;s profit is:<br \/>\n(-55) + (+275) = (275 -55) = 220<\/p>\n<p>Question 28.<br \/>\nAs shown in the illustration, Alexa had a negative balance in her checking account before depositing a $47.00 check. What is the new balance of Alexa\u2019s checking account?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-20.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Lesson 2: Adding Integers with Different Signs img 20\" width=\"226\" height=\"148\" \/><br \/>\n$ _______<\/p>\n<p>Answer: 0<\/p>\n<p>Explanation:<br \/>\n(-47) + 47 = 0<br \/>\nThe new balance consists of the sum between the old balance and the amount she deposits: 0<\/p>\n<p>Question 29.<br \/>\nThe sum of two integers with different signs is 8. Give two possible integers that fit this description.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer: 10 and -2<\/p>\n<p>Explanation:<br \/>\n10 and 2<br \/>\n10 &#8211; 2 = 8<br \/>\nBecause the sum of the two numbers is positive and the two numbers have different signs, it means the absolute value of the positive number is 8 units greater than the absolute value of the negative number. First, we find two positive numbers which are different by 8, which will be the positive values of our numbers.<br \/>\n10 and -2<br \/>\nOur positive number will be greater one while our negative number will be the smaller one (-2). So the desired numbers are:<br \/>\n10 + (-2) = 8<br \/>\n12 + (-4) = 8<br \/>\n15 + (-7) = 8<\/p>\n<p>Question 30.<br \/>\nMultistep Bart and Sam played a game in which each player earns or loses points in each turn. A player\u2019s total score after two turns is the sum of his points earned or lost. The player with the greater score after two turns wins. Bart earned 123 points and lost 180 points. Sam earned 185 points and lost 255 points. Which person won the game? Explain.<br \/>\n____________<\/p>\n<p>Answer: Bart<\/p>\n<p>Explanation:<br \/>\n123 + (-180) = -(180 &#8211; 123) = -57<br \/>\nThe person who has the greatest number of points after 2 turns win.<br \/>\nWe find the number of points Bart has, by adding the number of points from the two turns:<br \/>\n185 + (-255) = -(255 &#8211; 185) &#8211; 70<br \/>\nWe find the number of points Sam has, by adding the number of points from the two turns:<br \/>\nThe winner is Bart because -57 is greater than -70.<\/p>\n<h3><a id=\"Adding_Integers_with_the_Different_Sign_Page_No_18\"><\/a>Adding Integers with Different Signs &#8211; Page No. 18<\/h3>\n<p><strong>H.O.T. FOCUS ON HIGHER ORDER THINKING<\/strong><\/p>\n<p>Question 31.<br \/>\nCritical Thinking Explain how you could use a number line to show that -4 + 3 and 3 + (-4) have the same value. Which property of addition states that these sums are equivalent?<br \/>\n____________ Property of Addition<\/p>\n<p>Answer: Commutative property of addition<\/p>\n<p>Explanation:<br \/>\nIn order to prove that -4 + 3 and 3 + (-4) have the same value we use the number line twice: -1 we start from -4 and we move 3 units in the positive direction to the right we get the sum -1.<br \/>\nWe start from 3 and we move 4 units in the negative direction to the left where we find again -1.<br \/>\nThe property of addition which states that the sum is the same no matter the order in which we add the terms is called commutative property.<\/p>\n<p>Question 32.<br \/>\nRepresent Real-World Problems Jim is standing beside a pool. He drops a weight from 4 feet above the surface of the water in the pool. The weight travels a total distance of 12 feet down before landing on the bottom of the pool. Explain how you can write a sum of integers to find the depth of the water.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer: 12 + (-4) = 8<\/p>\n<p>Explanation:<br \/>\nGiven that,<br \/>\nJim is standing beside a pool.<br \/>\nHe drops weight from 4 feet above the surface of the water in the pool.<br \/>\nThe weight travels a total distance of 12 feet down before landing on the bottom of the pool.<br \/>\n12 + (-4) = 12 &#8211; 4 = 8<br \/>\nThe depth of the water can be calculated by adding to the total distance of 12 feet the negative distance of -4 feet.<\/p>\n<p>Question 33.<br \/>\nCommunicate Mathematical Ideas Use counters to model two integers with different signs whose sum is positive. Explain how you know the sum is positive.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer: The result is positive because there are more positive counters than negative counters.<\/p>\n<p>Explanation:<br \/>\n\u25cb\u25cb\u25cb\u25cb\u25cb\u25cb\u25cb<br \/>\n\u25cf\u25cf\u25cf<br \/>\nLet&#8217;s model the sum 7 + (-3) using counters we use 7 white counters for the positive numbers and 3 black counters for the negative numbers.<br \/>\nWe pair each white counter with a black counter their sum is being 0.<br \/>\nThe result is +4 as we are left with 4 white counters.<br \/>\nThe result is positive because there are more positive counters than negative counters.<\/p>\n<p>Question 34.<br \/>\nAnalyze Relationships You know that the sum of -5 and another integer is a positive integer. What can you conclude about the sign of the other integer? What can you conclude about the value of the other integer? Explain.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nWe know that the sum is -5 and another integer is a positive integer. This means that the absolute value of the positive number is greater than the absolute value of -5.<br \/>\nThe absolute value of -5 is 5, so the absolute value of the positive integer must be greater than 5. But because the number is positive, its absolute value is the number itself, so the positive number must be greater than 5.<br \/>\n-5 + 7 = 7 &#8211; 5 = 2<\/p>\n<h3><a id=\"Subtracting_Integers_Guided_Practice_Page_No_22\"><\/a>Subtracting Integers &#8211; Guided Practice &#8211; Page No. 22<\/h3>\n<p><strong>Explain how to find each difference using counters.<\/strong><\/p>\n<p>Question 1.<br \/>\n5 &#8211; 8 =<br \/>\n_______<\/p>\n<p>Answer: -3<\/p>\n<p>Explanation:<br \/>\n5 &#8211; 8<br \/>\nWe start with 5 black counters.<br \/>\nSince we have to subtract more black counters than we have (5 instead of 8), we add 3 zero pairs:<br \/>\nWe subtract the 8 black counters: -3<br \/>\nWe are left with 3 white counters, which means the result is -3.<\/p>\n<p>Question 2.<br \/>\n-5 &#8211; (-3) =<br \/>\n_______<\/p>\n<p>Answer: -2<\/p>\n<p>Explanation:<br \/>\n-5 &#8211; (-3)<br \/>\nWe have to find the difference:<br \/>\nWe start with 5 black counters.<br \/>\nwe subtract 3 black counters from the 5 black counters: -2<br \/>\nWe are left with 2 black counters, which means the result is: -2<\/p>\n<p><strong>Use a number line to find each difference.<\/strong><\/p>\n<p>Question 3.<br \/>\n\u2212 4 \u2212 5 = \u2212 4 + ( _______ ) = _______<\/p>\n<p>Answer: -9<\/p>\n<p>Explanation:<br \/>\n-4 &#8211; 5<br \/>\nWe have to compute the difference:<br \/>\n-4 &#8211; 5 = -(4 + 5)<br \/>\nOn a number line, we start from -4 and we go to the left by 5 units:<br \/>\n-4 -5 = -9<\/p>\n<p>Question 4.<br \/>\n1 \u2212 4 = 1 + ( _______ ) = _______<\/p>\n<p>Answer: -3<\/p>\n<p>Explanation:<br \/>\n1 &#8211; 4<br \/>\nWe have to compute the difference:<br \/>\n1 &#8211; 4 = 1 + (-4)<br \/>\nWe replace the subtraction by addition with the opposite:<br \/>\nOn a number line, we start from 1 and we go to the left by 4 units:<br \/>\n1 &#8211; 4 = &#8211; 3<br \/>\nThe result is -3.<\/p>\n<p><strong>Solve.<\/strong><\/p>\n<p>Question 5.<br \/>\n8 &#8211; 11 =<br \/>\n_______<\/p>\n<p>Answer: -3<\/p>\n<p>Explanation:<br \/>\n8 &#8211; 11<br \/>\nWe have to perform the subtraction:<br \/>\n8 &#8211; 11 = 8 + (-11)<br \/>\nWe replace subtraction by addition with the opposite number:<br \/>\n8 + (-11) = -3<br \/>\nWe use the rule for adding integers: -3<\/p>\n<p>Question 6.<br \/>\n-3 &#8211; (-5) =<br \/>\n_______<\/p>\n<p>Answer: 2<\/p>\n<p>Explanation:<br \/>\n-3 &#8211; (-5)<br \/>\nWe have to perform the subtraction:<br \/>\n-3 &#8211; (-5) = -3 + 5<br \/>\nWe replace subtraction by addition with the opposite number:<br \/>\n-3 + 5 = 2<br \/>\nWe use the rule for adding integers: 2<\/p>\n<p>Question 7.<br \/>\n15 &#8211; 21 =<br \/>\n_______<\/p>\n<p>Answer: -6<\/p>\n<p>Explanation:<br \/>\n15 &#8211; 21<br \/>\nWe have to perform the subtraction:<br \/>\n15 &#8211; 21 = 15 + (21)<br \/>\nWe replace subtraction by addition with the opposite number:<br \/>\n15 + (-21) = -6<br \/>\nWe use the rule for adding intergers: -6<\/p>\n<p>Question 8.<br \/>\n-17 &#8211; 1 =<br \/>\n_______<\/p>\n<p>Answer: -18<\/p>\n<p>Explanation:<br \/>\nWe have to perform the subtraction:<br \/>\n-17 &#8211; 1 = -17 + (-1)<br \/>\nWe replace subtraction by addition with the opposite number:<br \/>\n-17 + (-1) = -18<br \/>\nWe use the rule for adding integers: -18<\/p>\n<p>Question 9.<br \/>\n0 &#8211; (-5) =<br \/>\n_______<\/p>\n<p>Answer: 5<\/p>\n<p>Explanation:<br \/>\nWe have to perform the subtraction:<br \/>\n0 &#8211; (-5) = 0 + 5<br \/>\nWe replace subtraction b addition with the opposite number:<br \/>\n0 + 5 = 5<br \/>\nWe use the rule for adding integers: 5<\/p>\n<p>Question 10.<br \/>\n1 &#8211; (-18) =<br \/>\n_______<\/p>\n<p>Answer: 19<\/p>\n<p>Explanation:<br \/>\nWe have to perform the subtraction:<br \/>\n1 &#8211; (-18) = 1 + 18<br \/>\nWe replace subtraction by addition with the opposite number:<br \/>\n1 + 18 = 19<br \/>\nWe use the rule for adding integers: 19<\/p>\n<p>Question 11.<br \/>\n15 &#8211; 1 =<br \/>\n_______<\/p>\n<p>Answer: 14<\/p>\n<p>Explanation:<br \/>\nWe have to perform the subtraction:<br \/>\n15 &#8211; 1 = 14<br \/>\nWe subtract the numbers directly as in this case it is simpler than to replace subtraction by addition with the opposite: 14<\/p>\n<p>Question 12.<br \/>\n-3 &#8211; (-45) =<br \/>\n_______<\/p>\n<p>Answer: 42<\/p>\n<p>Explanation:<br \/>\nWe have to perform the subtraction:<br \/>\n-3 &#8211; (-45) = -3 + 45<br \/>\nWe replace subtraction by addition with the opposite number:<br \/>\n-3 + 45 = 42<br \/>\nWe use the rule for adding integers: 42<\/p>\n<p>Question 13.<br \/>\n19 &#8211; (-19) =<br \/>\n_______<\/p>\n<p>Answer: 38<\/p>\n<p>Explanation:<br \/>\nWe have to perform the subtraction:<br \/>\n19 &#8211; (-19) = 19 + 19<br \/>\nWe replace subtraction by addition with the opposite number:<br \/>\n19 + 19 = 38<br \/>\nWe use the rule for adding integers: 38<\/p>\n<p>Question 14.<br \/>\n-87 &#8211; (-87) =<br \/>\n_______<\/p>\n<p>Answer: 0<\/p>\n<p>Explanation:<br \/>\nWe have to perform the subtraction:<br \/>\n-87 &#8211; (-87) = -87 + 87<br \/>\nWe replace subtraction by addition with the opposite number:<br \/>\n-87 + 87 = 0<br \/>\nThs um of opposite numbers is 0<\/p>\n<p>Question 15.<br \/>\nHow do you subtract an integer from another integer without using a number line or counters? Give an example.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nIntegers with the same sign: Change to additions values then keep the common sign.<br \/>\nintegers with the different signs: Change to addition absolute value from larger value, the keep sign of larger absolute value.<\/p>\n<h3><a id=\"Subtracting_Integers_Independent_Practice_Page_No_23\"><\/a>Subtracting Integers &#8211; Independent Practice &#8211; Page No. 23<\/h3>\n<p>Question 16.<br \/>\nTheo had a balance of -$4 in his savings account. After making a deposit, he has $25 in his account. What is the overall change to his account?<br \/>\n$ _______<\/p>\n<p>Answer: $29<\/p>\n<p>Explanation:<br \/>\nTheo had a balance of -$4 in his savings account.<br \/>\nAfter making a deposit, he has $25 in his account.<br \/>\n25 &#8211; (-4)<br \/>\nThe overall change to the account is the difference between the amount in the account after making the deposit and the amount before it, so we have to perform the subtraction.<br \/>\n25 &#8211; (-4) = 25 + 4<br \/>\nWe change subtraction to addition with the opposite number:<br \/>\n25 + 4 = 29<br \/>\nWe apply the rules for adding integers: $29<\/p>\n<p>Question 17.<br \/>\nAs shown, Suzi starts her hike at an elevation below sea level. When she reaches the end of the hike, she is still below sea level at -127 feet. What was the change in elevation from the beginning of Suzi\u2019s hike to the end of the hike?<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-21.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Lesson 3: Subtracting Integers img 21\" width=\"243\" height=\"156\" \/><br \/>\n_______ feet<\/p>\n<p>Answer: 98 feet<\/p>\n<p>Explanation:<br \/>\n127 &#8211; (-225)<br \/>\nThe change in the elevation from the beginning of Suzi\u2019s hike to the end of the hike is the difference between the elevation at the end of the hike and the elevation at the beginning of it, so we have to perform the subtraction:<br \/>\n-127 &#8211; (-225) = -127 + 225<br \/>\nWe change subtraction to addition with the opposite number:<br \/>\n-127 + 225 = 98<br \/>\nWe apply the rules for adding integers: 98 feet<\/p>\n<p>Question 18.<br \/>\nThe record high January temperature in Austin, Texas, is 90 \u00b0F. The record low January temperature is -2 \u00b0F. Find the difference between the high and low temperatures.<br \/>\n_______ \u00b0F<\/p>\n<p>Answer: 92\u00b0F<\/p>\n<p>Explanation:<br \/>\n90 &#8211; (-2)<br \/>\nWe have to find the difference between the high and low temperature, so we have to perform the subtraction:<br \/>\n90 &#8211; (-2) = 90 + 2<br \/>\nWe change subtraction to addition with the opposite number:<br \/>\n90 + 2 = 92 feet<\/p>\n<p>Question 19.<br \/>\nCheyenne is playing a board game. Her score was -275 at the start of her turn, and at the end of her turn her score was -425. What was the change in Cheyenne\u2019s score from the start of her turn to the end of her turn?<br \/>\n_______ \u00b0C<\/p>\n<p>Answer: -150<\/p>\n<p>Explanation:<br \/>\n-425 &#8211; (-275)<br \/>\nThe change in Cheyenne\u2019s score from the start of her turn to the end of her turn in the result of the subtraction:<br \/>\n-425 &#8211; (-275) = -425 + 275 = -150 points<\/p>\n<p>Question 20.<br \/>\nA scientist conducts three experiments in which she records the temperature of some gases that are being heated. The table shows the initial temperature and the<br \/>\nfinal temperature for each gas.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-22.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Lesson 3: Subtracting Integers img 22\" width=\"260\" height=\"124\" \/><br \/>\na. Write a difference of integers to find the overall temperature change for each gas.<br \/>\nGas A: __________ \u00b0C increase<br \/>\nGas B: __________ \u00b0C increase<br \/>\nGas C: __________ \u00b0C increase<\/p>\n<p>Answer:<br \/>\nWe determine the overall change of temperature for each gas by subtracting the initial temperature from the final temperature.<br \/>\nGas A:<br \/>\n-8 &#8211; (-21) = -8 + 21 = 13<br \/>\nGas B:<br \/>\n12 &#8211; (-12) = 12 + 12 = 24<br \/>\nGas C:<br \/>\n-15 &#8211; (-19) = -15 + 19 = 4<\/p>\n<p>Question 20.<br \/>\nWhat If? Suppose the scientist performs an experiment in which she cools the three gases. Will the changes in temperature be positive or negative for this experiment? Why?<br \/>\n__________<\/p>\n<p>Answer: Negative<\/p>\n<p>Explanation:<br \/>\nCooling the gases means diminishing their temperature, thus their final temperature will be lower than the initial temperature, so the change in temperature will be negative.<\/p>\n<h3><a id=\"Subtracting_Integers_Page_No_24\"><\/a>Subtracting Integers &#8211; Page No. 24<\/h3>\n<p>Question 21.<br \/>\nAnalyze Relationships For two months, Nell feeds her cat Diet Chow brand cat food. Then for the next two months, she feeds her cat Kitty Diet brand cat food. The table shows the cat\u2019s change in weight over 4 months.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-23.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Lesson 3: Subtracting Integers img 23\" width=\"279\" height=\"151\" \/><br \/>\nWhich brand of cat food resulted in the greatest weight loss for Nell\u2019s cat? Explain.<br \/>\n__________<\/p>\n<p>Answer: Diet Chow<\/p>\n<p>Explanation:<br \/>\n(-8) + (-18) = -26<br \/>\nWe count the total change of weight resulted after using the diet chow for two months.<br \/>\nWe count the total change of weight resulted after using the Kitty Diet for two months:<br \/>\n3 + (-19) = -16<br \/>\nThis means that by using the Diet Chow the cat lost 26 oz, while using the Kitty Diet she lost 16 oz, thus the greatest loss of weight resulted in using the Diet Chow food.<\/p>\n<p><strong>FOCUS ON HIGHER ORDER THINKING<\/strong><\/p>\n<p>Question 22.<br \/>\nRepresent Real-World Problems Write and solve a word problem that can be modeled by the difference -4 &#8211; 10.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nWe have to write and solve a problem using the difference:<br \/>\n-4 &#8211; 10<br \/>\nFor example:<br \/>\nYesterday the temperature was -4 degrees. Today the temperature decreased by 10 degrees. What is the temperature today?<br \/>\n&#8211; 4 &#8211; 10 =- + (-10) = -14<\/p>\n<p>Question 23.<br \/>\nExplain the Error When Tom found the difference -11 &#8211; (-4), he got -15. What might Tom have done wrong?<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nWe have to find the error in computing the difference:<br \/>\n-11 &#8211; (-4) = -15<br \/>\nIn order to perform subtraction, Tom replaced it by addition, but he was wrong in adding -4 instead of adding its opposite 4.<br \/>\nThe correct form is -11 &#8211; (-4) = -11 + 4 = -7<\/p>\n<p>Question 24.<br \/>\nDraw Conclusions When you subtract one negative integer from another, will your answer be greater than or less than the integer you started with? Explain your reasoning and give an example.<br \/>\n____________ the integer<\/p>\n<p>Answer: Greater<\/p>\n<p>Explanation:<br \/>\nWhen we subtract one negative integer from another we will get an integer which is greater than the integer we started with because subtracting a negative integer from the initial number can be replaced by adding the opposite of that negative integer, which is a positive integer, thus the result will definitely be greater than the initial number.<br \/>\n-10 &#8211; (-3) = -10 + 3 = -7<br \/>\n-2 &#8211; (-7) = -2 + 7 = -5<\/p>\n<p>Question 25.<br \/>\nLook for a Pattern Find the next three terms in the pattern 9, 4, \u22121, \u22126, \u221211, \u2026 . Then describe the pattern.<br \/>\n9, 4, -1, -6, -11, _______ , _______ , _______<\/p>\n<p>Answer: -16, -21, -26<\/p>\n<p>Explanation:<br \/>\nWe are given the sequence of numbers:<br \/>\n9, 4 , -1, -6, -11,&#8230;<br \/>\nWe find the next 3 terms:<br \/>\n-11 &#8211; 5 = -11 + (-5) = -16<br \/>\n-16 &#8211; 5 = 16 + (-5) = -21<br \/>\n-21 &#8211; 5 = -21 + (-5) = -26<br \/>\nThus the next three terms are -16, -21, -26<\/p>\n<h3><a id=\"Applying_Addition_and_Subtraction_of_Integers_Guided_Practice_Page_No_28\"><\/a>Applying Addition and Subtraction of Integers &#8211; Guided Practice &#8211; Page No. 28<\/h3>\n<p><strong>Write an expression. Then find the value of the expression.<\/strong><\/p>\n<p>Question 1.<br \/>\nTomas works as an underwater photographer. He starts at a position that is 15 feet below sea level. He rises 9 feet, then descends 12 feet to take a photo of a coral reef. Write and evaluate an expression to find his position relative to sea level when he took the photo.<br \/>\n_______ feet below sea level<\/p>\n<p>Answer: 18 feet<\/p>\n<p>Explanation:<br \/>\nWhen he rises, we add the distance. When he descends, we subtract the distance.<br \/>\nThe initial position is -15. We write an expression to find his position relative to sea level when he took the photo:<br \/>\n-15 + 9 &#8211; 12 = (-15) + 9 + (-12)<br \/>\n(-15) + (-12) + 9<br \/>\n-(15 + 12) + 9<br \/>\n-27 + 9 = -18<br \/>\nThus he was 18 feet below sea level when he took the photo.<\/p>\n<p>Question 2.<br \/>\nThe temperature on a winter night was -23 \u00b0F. The temperature rose by 5 \u00b0F when the sun came up. When the sun set again, the temperature dropped by 7 \u00b0F. Write and evaluate an expression to find the temperature after the sun set.<br \/>\n_______ \u00b0F<\/p>\n<p>Answer: -25<\/p>\n<p>Explanation:<br \/>\nWhen the temperature rises, we add the temperature. When the temperature drops, we subtract the temperature. The initial temperature is -23.<br \/>\nWe write an expression to find the temperature after the sunset:<br \/>\n-23 + 5 &#8211; 7 = -(23 + 7) + 5<br \/>\n-30 + 5 = -25<br \/>\nThus the temperature is -25\u00b0F after the sunset.<\/p>\n<p>Question 3.<br \/>\nJose earned 50 points in a video game. He lost 40 points, earned 87 points, then lost 30 more points. Write and evaluate an expression to find his final score in the video game.<br \/>\n_______ points<\/p>\n<p>Answer: 67 points<\/p>\n<p>Explanation:<br \/>\nWhen he wins, we add points. When he loses, we subtract points.<br \/>\nThe score is 50 points. We write the expression to find the final score:<br \/>\n50 &#8211; 40 + 87 &#8211; 30<br \/>\n50 + (-40) + 87 + (-30)<br \/>\n50 + 87 &#8211; (40 + 30)<br \/>\n137 &#8211; 70 = 67<br \/>\nThus his final is 67 points.<\/p>\n<p><strong>Find the value of each expression.<\/strong><\/p>\n<p>Question 4.<br \/>\n-6 + 15 + 15 =<br \/>\n_______<\/p>\n<p>Answer: 24<\/p>\n<p>Explanation:<br \/>\nWe have to find the value of the expression:<br \/>\n-6 + 15 + 15 = &#8211; 6 + 30 = 24<br \/>\n-6 + 15 + 15 = 24<\/p>\n<p>Question 5.<br \/>\n9 &#8211; 4 &#8211; 17 =<br \/>\n_______<\/p>\n<p>Answer: -12<\/p>\n<p>Explanation:<br \/>\nWe have to find the value of the expression:<br \/>\n9 &#8211; 4 &#8211; 17 = 9 &#8211; (4 + 17)<br \/>\n= 9 &#8211; 21 = -12<\/p>\n<p>Question 6.<br \/>\n50 &#8211; 42 + 10 =<br \/>\n_______<\/p>\n<p>Answer: 18<\/p>\n<p>Explanation:<br \/>\nWe have to find the value of the expression:<br \/>\n50 + (-42) + 10 = 60 &#8211; 42<br \/>\nWe use the commutative property:<br \/>\n60 &#8211; 42 = 18<\/p>\n<p>Question 7.<br \/>\n6 + 13 + 7 &#8211; 5 =<br \/>\n_______<\/p>\n<p>Answer: 21<\/p>\n<p>Explanation:<br \/>\nWe have to find the value of the expression:<br \/>\n6 + 13 + 7 &#8211; 5 = 6 + 13 + 7 + (-5)<br \/>\nWe use the associative property:<br \/>\n6 + 13 + 7 + (-5)<br \/>\n= (6 + 13 + 7) + (-5)<br \/>\n26 + (-5)<br \/>\n26 &#8211; 5 = 21<\/p>\n<p>Question 8.<br \/>\n65 + 43 &#8211; 11 =<br \/>\n_______<\/p>\n<p>Answer: 97<\/p>\n<p>Explanation:<br \/>\nWe have to find the value of the expression:<br \/>\n65 + 43 &#8211; 11 = 65 + 43 + (-11)<br \/>\nWe use the associative property:<br \/>\n(65 + 43) &#8211; 11 = 97<\/p>\n<p>Question 9.<br \/>\n-35 &#8211; 14 + 45 + 31 =<br \/>\n_______<\/p>\n<p>Answer: 27<\/p>\n<p>Explanation:<br \/>\nWe have to find the value of the expression:<br \/>\n-35 &#8211; 14 + 45 + 31 = -(35 + 14) + 45 + 31<br \/>\nWe use the associative property:<br \/>\n-(35 + 14) + 45 + 31<br \/>\n-49 + 76<br \/>\n= 27<\/p>\n<p><strong>Determine which expression has a greater value.<\/strong><\/p>\n<p>Question 10.<br \/>\n-12 + 6 &#8211; 4 or -34 &#8211; 3 + 39<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nWe have to compare the expressions:<br \/>\n-12 + 6 &#8211; 4 or -34 &#8211; 3 + 39<br \/>\nWe compute the first expression:<br \/>\n-12 + 6 &#8211; 4<br \/>\n-(12 + 4) + 6<br \/>\n-16 + 6 = -10<br \/>\nWe compute the second expression:<br \/>\n-34 &#8211; 3 + 39<br \/>\n-(34 + 3) + 39<br \/>\n-37 + 39 = 2<br \/>\n2 &gt; -10<br \/>\nSince 2 is greater than -10, the second expression is greater than the first expression.<\/p>\n<p>Question 11.<br \/>\n21 &#8211; 3 + 8 or -14 + 31 &#8211; 6<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nWe have to compare the expressions:<br \/>\n21 &#8211; 3 + 8 or -14 + 31 &#8211; 6<br \/>\nWe compute the first expression:<br \/>\n21 &#8211; 3 + 8<br \/>\n21 + 8 &#8211; 3<br \/>\n21 + 5 = 26<br \/>\nWe compute the second expression:<br \/>\n-14 + 31 &#8211; 6<br \/>\n31 &#8211; (14 + 6)<br \/>\n31 &#8211; 20 = 11<br \/>\n26 &gt; 11<br \/>\nSince 26 is greater than 11, the first expression is greater than the second expression.<\/p>\n<p>Question 12.<br \/>\nExplain how you can find the value of the expression -5 + 12 + 10 &#8211; 7.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer: 10<\/p>\n<p>Explanation:<br \/>\nWe have to find the value of the expression:<br \/>\n-5 + 12 + 10 &#8211; 7 = 12 + 10 &#8211; (5 + 7)<br \/>\n22 &#8211; 12 = 10<\/p>\n<h3><a id=\"Applying_Addition_and_Subtraction_of_Integers_Independent_Practice_Page_No_29\"><\/a>Applying Addition and Subtraction of Integers &#8211; Independent Practice &#8211; Page No. 29<\/h3>\n<p>Question 13.<br \/>\nSports Cameron is playing 9 holes of golf. He needs to score a total of at most 15 over par on the last four holes to beat his best golf score. On the last four holes, he scores 5 over par, 1 under par, 6 over par, and 1 under par.<br \/>\na. Write and find the value of an expression that gives Cameron\u2019s score for 4 holes of golf.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nWe write the expression that gives Cameron&#8217;s score for 4 holes:<br \/>\n5 &#8211; 1 + 6 &#8211; 1<br \/>\n5 + 6 &#8211; (1 + 1)<br \/>\n11 &#8211; 2 = 9<\/p>\n<p>Question 13.<br \/>\nb. Is Cameron\u2019s score on the last four holes over or under par?<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer: The result shows that Cameron&#8217;s score is over par.<\/p>\n<p>Question 13.<br \/>\nc. Did Cameron beat his best golf score?<br \/>\n_______<\/p>\n<p>Answer:<br \/>\nSince his score of 9 is beaten his best score as 9 &gt; 15.<\/p>\n<p>Question 14.<br \/>\nHerman is standing on a ladder that is partly in a hole. He starts out on a rung that is 6 feet underground, climbs up 14 feet, then climbs down 11 feet. What is Herman\u2019s final position, relative to ground level?<br \/>\n_______ feet underground<\/p>\n<p>Answer: 3 feet underground<\/p>\n<p>Explanation:<br \/>\nHerman is standing on a ladder that is partly in a hole.<br \/>\nHe starts out on a rung that is 6 feet underground, climbs up 14 feet, then climbs down 11 feet.<br \/>\n-6 + 14 -11<br \/>\n14 &#8211; (11 + 6)<br \/>\n14 &#8211; 17 = -3<br \/>\nTherefore the final position is 3 feet underground.<\/p>\n<p>Question 15.<br \/>\nExplain the Error Jerome tries to find the value of the expression 3 &#8211; 6 + 5 by first applying the Commutative Property. He rewrites the expression as 3 &#8211; 5 + 6. Explain what is wrong with Jerome\u2019s approach.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer: Jerome is wrong in using the Commutative Property at Subtraction which is not true: this property works for addition.<br \/>\n3 &#8211; 6 + 5 = 3 + (-6) + 5<br \/>\n3 + 5 &#8211; 6<br \/>\n= 8 &#8211; 6 = 2<\/p>\n<p>Question 16.<br \/>\nLee and Barry play a trivia game in which questions are worth different numbers of points. If a question is answered correctly, a player earns points. If a question is answered incorrectly, the player loses points. Lee currently has -350 points.<\/p>\n<p>a. Before the game ends, Lee answers a 275-point question correctly, a 70-point question correctly, and a 50-point question incorrectly. Write and find the value of an expression to find Lee\u2019s final score.<br \/>\n_______ points<\/p>\n<p>Answer: -55 points<\/p>\n<p>Explanation:<br \/>\nThe initial score is -350 points. We write and find the value of an expression to find Lee&#8217;s final score:<br \/>\n-350 + 275 + 70 &#8211; 50<br \/>\n-(350 + 50) + 275 + 70<br \/>\n-400 + 345 = -55<\/p>\n<p>Question 17.<br \/>\nb. Barry\u2019s final score is 45. Which player had the greater final score?<br \/>\n___________<\/p>\n<p>Answer: Since -55 &lt; 45, it means Barry has a greater final score.<\/p>\n<p>Question 17.<br \/>\nMultistep Rob collects data about how many customers enter and leave a store every hour. He records a positive number for customers entering the store each hour and a negative number for customers leaving the store each hour.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-24.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Lesson 4: Applying Addition and Subtraction of Integers img 24\" width=\"302\" height=\"110\" \/><br \/>\na. During which hour did more customers leave than arrive?<br \/>\n___________<\/p>\n<p>Answer: 3:00 &#8211; 4:00<\/p>\n<p>Explanation:<br \/>\nsince in the last column the only positive value is in the last position, the hour in which more customers leave than arrive is 3:00 &#8211; 4:00<\/p>\n<p>Question 17.<br \/>\nb. There were 75 customers in the store at 1:00. The store must be emptied of customers when it closes at 5:00. How many customers must leave the store between 4:00 and 5:00?<br \/>\n_______ customers<\/p>\n<p>Answer: 87<\/p>\n<p>Explanation:<br \/>\n75 + 30 &#8211; 12 + 14 &#8211; 8 + 18 &#8211; 30<br \/>\n75 + 30 + 14 + 18 &#8211; (12 + 8 + 30)<br \/>\n137 &#8211; 50 = 87<br \/>\nSince there are 87 customers in the store at 4:00 and the store must be emptied at 5:00, the number of clients who must leave is 87.<\/p>\n<h3>Applying Addition and Subtraction of Integers &#8211; Page No. 30<\/h3>\n<p><strong>The table shows the changes in the values of two friends\u2019 savings accounts since the previous month.<\/strong><br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-25.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Lesson 4: Applying Addition and Subtraction of Integers img 25\" width=\"306\" height=\"105\" \/><\/p>\n<p>Question 18.<br \/>\nCarla had $100 in her account in May. How much money does she have in her account in August?<br \/>\n$ _______<\/p>\n<p>Answer: $51<\/p>\n<p>Explanation:<br \/>\nWe are given the data:<br \/>\n100 &#8211; 18 + 22 &#8211; 53<br \/>\n100 + 22 -(18 + 53)<br \/>\n122 &#8211; 71 = 51<br \/>\nThus Carla saved $51 in her account in August.<\/p>\n<p>Question 19.<br \/>\nLeta had $45 in her account in May. How much money does she have in her account in August?<br \/>\n$ _______<\/p>\n<p>Answer: $24<\/p>\n<p>Explanation:<br \/>\nWe are given the data:<br \/>\n45 &#8211; 17 &#8211; 22 + 18<br \/>\n45 + 18 -(17 + 22)<br \/>\n63 &#8211; 39 = 24<br \/>\nThus Leta saved $24 in her account in August.<\/p>\n<p>Question 20.<br \/>\nAnalyze Relationships Whose account had the greatest decrease in value from May to August?<br \/>\n___________<\/p>\n<p>Answer: Carla&#8217;s account<\/p>\n<p>Explanation:<br \/>\nCarla had $100 in May and $51 in august, thus her account&#8217;s change is:<br \/>\n51 &#8211; 100 = -49<br \/>\nLeta had $45 in May and $24 in august, thus her accounts change is:<br \/>\n24 &#8211; 45 = -21<br \/>\nCarla&#8217;s account had a decrease of $49, while Leta&#8217;s account decreased by $21, so the account with the greatest decrease is Carla&#8217;s.<\/p>\n<p><strong>FOCUS ON HIGHER ORDER THINKING<\/strong><\/p>\n<p>Question 21.<br \/>\nRepresent Real-World Problems Write and solve a word problem that matches the diagram shown.<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-26.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Lesson 4: Applying Addition and Subtraction of Integers img 26\" width=\"248\" height=\"69\" \/><br \/>\nType below:<br \/>\n___________<\/p>\n<p>A diver leaves from a point situated 1 meter below the sea level. First, he dives 6 meters, then he rises 3 meters and stops. At which level under the sea level does he stop?<br \/>\nWe start from the initial point -1, we add distance if he rises and we subtract distance when he dives. We determine the final level under the sea level where he stops:<br \/>\n-1 &#8211; 6 + 3<br \/>\n-(1 + 6) + 3<br \/>\n-7 + 3 = -4<br \/>\n-4 or 4 meters below the sea level.<\/p>\n<p>Question 22.<br \/>\nCritical Thinking Mary has $10 in savings. She owes her parents $50. She does some chores and her parents pay her $12. She also gets $25 for her birthday from her grandmother. Does Mary have enough money to pay her parents what she owes them? If not, how much more money does she need? Explain.<br \/>\n_______<\/p>\n<p>Answer:<br \/>\nThe initial point is 10. We add money when she is paid for chores, gets presents. We determine,ine the amount of money she has after she gets money from chores and presents:<br \/>\n10 + 12 + 25 = 47<br \/>\n47 &lt; 50<br \/>\n50 &#8211; 47 = 3<br \/>\nThus she needs $3.<\/p>\n<p>Question 23.<br \/>\nDraw Conclusions An expression involves subtracting two numbers from a positive number. Under what circumstances will the value of the expression be negative? Give an example.<br \/>\nType below:<br \/>\n___________<\/p>\n<p>Answer:<br \/>\nThe sum of the two numbers to be subtracted from the positive number is a number, we will study this first. Since we subtract this number from the positive number and we get a negative number, it means that the number is greater than the positive number, therefore mandatory positive. This means the two numbers cannot be both negative.<br \/>\nExample:<br \/>\n10 &#8211; (7 + 5) = 10 &#8211; 12 = -2<br \/>\n-2 &lt; 0<\/p>\n<h3><a id=\"Module_Quiz_Ready_to_Go_On_Page_No_31\"><\/a>Module Quiz &#8211; Ready to Go On &#8211; Page No. 31<\/h3>\n<p><strong>Adding Integers with the Same Sign<\/strong><\/p>\n<p><strong>Add<\/strong><\/p>\n<p>Question 1.<br \/>\n\u22128 + (\u22126) = _______<\/p>\n<p>Answer: -14<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same signs you add both the integers and keep the common sign.<br \/>\n\u22128 + (\u22126) = -(8 + 6) = -14<\/p>\n<p>Question 2.<br \/>\n\u22124 + (\u22127) = _______<\/p>\n<p>Answer: -11<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same signs you add both the integers and keep the common sign.<br \/>\n\u22124 + (\u22127) = &#8211; 4 &#8211; 7<br \/>\n-(4 + 7) = -11<br \/>\n\u22124 + (\u22127) = -11<\/p>\n<p>Question 3.<br \/>\n\u22129 + (\u221212) = _______<\/p>\n<p>Answer: -21<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same signs you add both the integers and keep the common sign.<br \/>\n\u22129 + (\u221212) = -9 &#8211; 12<br \/>\n-(9 + 12) = &#8211; 21<br \/>\nThus \u22129 + (\u221212) = -21<\/p>\n<p><strong>Adding Integers with Different Signs<\/strong><\/p>\n<p><strong>Add<\/strong><\/p>\n<p>Question 4.<br \/>\n5 + (\u22122) = _______<\/p>\n<p>Answer: 3<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same sign, add their absolute value, and keep the common sign.<br \/>\nWhen adding two integers with opposite signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.<br \/>\n5 + (\u22122) = 5 &#8211; 2 = 3<br \/>\nThe larger number is having the positive sign thus the sum is 3<\/p>\n<p>Question 5.<br \/>\n\u22128 + 4 = _______<\/p>\n<p>Answer: -4<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same sign, add their absolute value, and keep the common sign.<br \/>\nWhen adding two integers with opposite signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.<br \/>\n\u22128 + 4 = (-8) + 4 = -4<br \/>\nThe larger number is having a negative sign thus the sum is -4.<\/p>\n<p>Question 6.<br \/>\n15 + (\u22128) = _______<\/p>\n<p>Answer: 7<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same sign, add their absolute value, and keep the common sign.<br \/>\nWhen adding two integers with opposite signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.<br \/>\n15 + (\u22128) = 15 &#8211; 8 = 7<br \/>\nThe larger number is having the positive sign thus the sum is 7.<\/p>\n<p><strong>Subtracting Integers<\/strong><\/p>\n<p><strong>Subtract.<\/strong><\/p>\n<p>Question 7.<br \/>\n2 \u2212 9 = _______<\/p>\n<p>Answer: -7<\/p>\n<p>Explanation:<br \/>\n2 &#8211; 9 = 2 + (-9)<br \/>\n|2| = 2<br \/>\n|-9| = 9<br \/>\n9 &#8211; 2 = 7<br \/>\n2 + (-9) = -7<\/p>\n<p>Question 8.<br \/>\n\u22123 \u2212 (\u22124) = _______<\/p>\n<p>Answer: 1<\/p>\n<p>Explanation:<br \/>\n-3 &#8211; (-4) = &#8211; 3 + 4<br \/>\n4 &#8211; 3 = 1<\/p>\n<p>Question 9.<br \/>\n11 \u2212 (\u221212) = _______<\/p>\n<p>Answer: 23<\/p>\n<p>Explanation:<br \/>\n11 \u2212 (\u221212) = 11 + 12 = 23<\/p>\n<p><strong>Applying Addition and Subtraction of Integers<\/strong><\/p>\n<p>Question 10.<br \/>\nA bus makes a stop at 2:30, letting off 15 people and letting on 9. The bus makes another stop ten minutes later to let off 4 more people. How many more or fewer people are on the bus after the second stop compared to the number of people on the bus before the 2:30 stop?<br \/>\n_______ people<\/p>\n<p>Answer: 10<\/p>\n<p>Explanation:<br \/>\nAssume that the total passengers on the bus before 2:30 was x<br \/>\n15 passengers got off and 9 got on.<br \/>\nnumber of passengers = x &#8211; 15 + 9<br \/>\nnumber of passengers = x -6<br \/>\n4 passengers got off the bus<br \/>\nnumber of passengers = (x-6) &#8211; 4<br \/>\nnumber of passengers = x &#8211; 10<br \/>\nThe original number of passengers on the bus decreased by 10 after the second stop.<\/p>\n<p>Question 11.<br \/>\nCate and Elena were playing a card game. The stack of cards in the middle had 24 cards in it to begin with. Cate added 8 cards to the stack. Elena then took 12 cards from the stack. Finally, Cate took 9 cards from the stack. How many cards were left in the stack?<br \/>\n_______ cards<\/p>\n<p>Answer: 11 cards<\/p>\n<p>Explanation:<br \/>\nWhen cards are put to the stack, we perform addition.<br \/>\nWhen cards are taken from the stack we perform subtraction.<br \/>\n24 + 8 &#8211; 12 &#8211; 9<br \/>\n32 &#8211; (12 + 9)<br \/>\n32 &#8211; 21 = 11<br \/>\nThus in the end the stack has 11 cards.<\/p>\n<p><strong>ESSENTIAL QUESTION<\/strong><\/p>\n<p>Question 12.<br \/>\nWrite and solve a word problem that can be modeled by addition of two negative integers.<br \/>\nType below:<br \/>\n_____________<\/p>\n<p>Answer: -25<\/p>\n<p>Explanation:<br \/>\nA football team played two games. During the first game, the team lost 15 points and during the second game, it lost another 10 points. What is the change in the team&#8217;s score after these two games?<br \/>\n(-15) + (-10) = -25<\/p>\n<h3><a id=\"Module_Quiz_MODULE_1_MIXED_REVIEW_Page_No_32\"><\/a>Module Quiz &#8211; MODULE 1 MIXED REVIEW &#8211; Page No. 32<\/h3>\n<p><strong>Assessment Readiness<\/strong><\/p>\n<p><strong>Selected Response<\/strong><\/p>\n<p>Question 1.<br \/>\nWhich expression has the same value as -3 + (-5):<br \/>\nOptions:<br \/>\na. -3 &#8211; (-5)<br \/>\nb. -3 + 5<br \/>\nc. -5 + (-3)<br \/>\nd. -5 &#8211; (-3)<\/p>\n<p>Answer: -5 + (-3)<\/p>\n<p>Explanation:<br \/>\na. -3 &#8211; (-5)<br \/>\n-3 + 5 = 2<br \/>\nb. -3 + 5<br \/>\n5 &#8211; 3 = 2<br \/>\nc. -5 + (-3)<br \/>\n&#8211; 5 &#8211; 3 = -8<br \/>\nd. -5 &#8211; (-3)<br \/>\n-5 + 3 = -2<br \/>\nThus the correct answer is option C.<\/p>\n<p>Question 2.<br \/>\nA diver\u2019s elevation is -30 feet relative to sea level. She dives down 12 feet. What is her elevation after the dive?<br \/>\nOptions:<br \/>\na. 12 feet<br \/>\nb. 18 feet<br \/>\nc. -30 feet<br \/>\nd. -42 feet<\/p>\n<p>Answer: -42 feet<\/p>\n<p>Explanation:<br \/>\nA diver\u2019s elevation is -30 feet relative to sea level. She dives down 12 feet.<br \/>\n-30 -12 = (-30) + (-12) = -42 feet<br \/>\nThus the correct answer is option D.<\/p>\n<p>Question 3.<br \/>\nWhich number line models the expression -3 + 5?<br \/>\nOptions:<br \/>\na. <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-27.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Module Quiz img 27\" width=\"227\" height=\"56\" \/><br \/>\nb. <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-28.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Module Quiz img 28\" width=\"231\" height=\"57\" \/><br \/>\nc. <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-29.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Module Quiz img 29\" width=\"233\" height=\"59\" \/><br \/>\nd. <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-30.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Module Quiz img 30\" width=\"236\" height=\"60\" \/><\/p>\n<p>Answer: <img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-28.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Module Quiz img 28\" width=\"231\" height=\"57\" \/><\/p>\n<p>Explanation:<br \/>\n-3 + 5<br \/>\nOn the numeric line, his is modeled by starting at -3 and going right by 5 units. The number which models this is is:<br \/>\n<img loading=\"lazy\" src=\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2020\/08\/Go-Math-Grade-7-Answer-Key-Chapter-1-Adding-and-Subtracting-Integers-img-28.jpg\" alt=\"Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers Module Quiz img 28\" width=\"231\" height=\"57\" \/><br \/>\nThus the correct answer is option B.<\/p>\n<p>Question 4.<br \/>\nWhich number can you add to 5 to get a sum of 0?<br \/>\nOptions:<br \/>\na. -10<br \/>\nb. -5<br \/>\nc. 0<br \/>\nd. 5<\/p>\n<p>Answer: -5<\/p>\n<p>Explanation:<br \/>\nThe number we can add to 5 to get a sum of 0 is its opposite:<br \/>\n5 + (-5) = 0<br \/>\nThe correct answer is option B.<\/p>\n<p>Question 5.<br \/>\nThe temperature in the morning was -3 \u00b0F. The temperature dropped 11 degrees by night. What was the temperature at night?<br \/>\nOptions:<br \/>\na. -14 \u00b0F<br \/>\nb. -8 \u00b0F<br \/>\nc. 8 \u00b0F<br \/>\nd. 14 \u00b0F<\/p>\n<p>Answer: -14 \u00b0F<\/p>\n<p>Explanation:<br \/>\nThe temperature in the morning was -3 \u00b0F. The temperature dropped 11 degrees by night.<br \/>\n-3 + (-11) = -3 &#8211; 11 = -14\u00b0F<br \/>\nTherefore the correct answer is option A.<\/p>\n<p>Question 6.<br \/>\nWhich of the following expressions has the greatest value?<br \/>\nOptions:<br \/>\na. 3 &#8211; 7 + (-10)<br \/>\nb. 3 + 7 &#8211; (-10)<br \/>\nc. 3 &#8211; 7 &#8211; (-10)<br \/>\nd. 3 + 7 + (-10)<\/p>\n<p>Answer: 3 + 7 &#8211; (-10)<\/p>\n<p>Explanation:<br \/>\na. 3 &#8211; 7 + (-10)<br \/>\n3 &#8211; 7 &#8211; 10 = 3 -(7 + 10) = 3 &#8211; 17 = -14<br \/>\nb. 3 + 7 &#8211; (-10)<br \/>\n3 + 7 + 10 = 20<br \/>\nc. 3 &#8211; 7 &#8211; (-10)<br \/>\n3 &#8211; 7 + 10 = 13 &#8211; 7 = 6<br \/>\nd. 3 + 7 + (-10)<br \/>\n10 &#8211; 10 = 0<br \/>\nThus the correct answer is option B.<\/p>\n<p><strong>Mini-Task<\/strong><\/p>\n<p>Question 7.<br \/>\nAt the end of one day, the value of a share of a certain stock was $12. Over the next three days, the change in the value of the share was -$1, then, -$1, and then $3.<br \/>\na. Write an expression that describes the situation.<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer:<br \/>\nWe write an expression that describes the changes in the value of the share:<br \/>\n12 &#8211; 1 &#8211; 1 + 3<\/p>\n<p>Question 7.<br \/>\nb. Evaluate the expression.<br \/>\n______<\/p>\n<p>Answer: 13<\/p>\n<p>Explanation:<br \/>\n12 &#8211; 1 &#8211; 1 + 3<br \/>\n12 + 3 &#8211; (1 + 1)<br \/>\n15 &#8211; 2 = 13<\/p>\n<p>Question 7.<br \/>\nc. What does your answer to part b mean in the context of the problem?<br \/>\nType below:<br \/>\n____________<\/p>\n<p>Answer: After 3 days, the value of the share changed from $12 to $13.<\/p>\n<p><strong><a id=\"MODULE_1_MIXED_REVIEW\"><\/a>MODULE 1<\/strong><\/p>\n<p><strong>MIXED REVIEW<\/strong><\/p>\n<p><strong>Assessment Readiness<\/strong><\/p>\n<p><strong>Look at each expression. Does it have the same value as -6 &#8211; 4?<\/strong><\/p>\n<p><strong>Select Yes or No for expressions A\u2013C.<\/strong><\/p>\n<p>Question 8.<br \/>\nA. -6 + (-4)<br \/>\n______<\/p>\n<p>Answer: Yes<\/p>\n<p>Explanation:<br \/>\n-6 + (-4) = &#8211; 6 &#8211; 4<br \/>\n-6 + (-4) has the same value as &#8211; 6 &#8211; 4<\/p>\n<p>Question 8.<br \/>\nB. -4 + (-6)<br \/>\n______<\/p>\n<p>Answer: Yes<\/p>\n<p>Explanation:<br \/>\n-4 + (-6) = -4 &#8211; 6<br \/>\n-4 + (-6) has the same value as &#8211; 6 &#8211; 4<\/p>\n<p>Question 8.<br \/>\nC. 6 + (-4)<br \/>\n______<\/p>\n<p>Answer: No<\/p>\n<p>Explanation:<br \/>\n6 + (-4) = 6 &#8211; 4<br \/>\n6 &#8211; 4 \u2260 &#8211; 6 &#8211; 4<br \/>\nSo, 6 &#8211; 4 does not have the same value as &#8211; 6 &#8211; 4<\/p>\n<p><strong>Choose True or False for A\u2013C.<\/strong><\/p>\n<p>Question 9.<br \/>\nA. x = 4 is the solution for x + 4 = 0.<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer: False<\/p>\n<p>Explanation:<br \/>\nx + 4 = 0<br \/>\nx = 4<br \/>\n4 + 4 = 0<br \/>\n8 \u2260 0<br \/>\nSo, the statement is false.<\/p>\n<p>Question 9.<br \/>\nB. x = 24 is the solution for \\(\\frac{x}{3}\\) = 8.<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer: True<\/p>\n<p>Explanation:<br \/>\n\\(\\frac{x}{3}\\) = 8<br \/>\nx = 24<br \/>\n24\/3 = 8<br \/>\n8 = 8<br \/>\nThus the statement is true.<\/p>\n<p>Question 9.<br \/>\nC. x = 6 is the solution for 6x = 1<br \/>\ni. True<br \/>\nii. False<\/p>\n<p>Answer: False<\/p>\n<p>Explanation:<br \/>\n6x = 1<br \/>\nx = 6<br \/>\n6(6) = 1<br \/>\n36 \u2260 1<br \/>\nThus the statement is false.<\/p>\n<h3><a id=\"Module_1_Review_Adding_and_Subtracting_Integers_Page_No_103\"><\/a>Module 1 Review &#8211; Adding and Subtracting Integers &#8211; Page No. 103<\/h3>\n<p><strong>EXERCISES<\/strong><\/p>\n<p>Question 1.<br \/>\n\u221210 + (\u22125) =<br \/>\n________<\/p>\n<p>Answer: -15<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same sign, add their absolute value, and keep the common sign.<br \/>\nWhen adding two integers with opposite signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.<br \/>\n-10 &#8211; 5 = -(10 + 5) = -15<\/p>\n<p>Question 2.<br \/>\n9 + (\u221220) =<br \/>\n________<\/p>\n<p>Answer: -11<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same sign, add their absolute value, and keep the common sign.<br \/>\nWhen adding two integers with opposite signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.<br \/>\n9 + (-20) = 9 &#8211; 20 = -11<\/p>\n<p>Question 3.<br \/>\n\u221213 + 32 =<br \/>\n________<\/p>\n<p>Answer: 19<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same sign, add their absolute value, and keep the common sign.<br \/>\nWhen adding two integers with opposite signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.<br \/>\n-13 + 32 = 32 + (-13)<br \/>\n32 &#8211; 13 = 19<\/p>\n<p>Question 4.<br \/>\n\u221212 \u2212 5 =<br \/>\n________<\/p>\n<p>Answer: -17<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same sign, add their absolute value, and keep the common sign.<br \/>\nWhen adding two integers with opposite signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.<br \/>\n-12 &#8211; 5 = -(12 + 5) = -17<\/p>\n<p>Question 5.<br \/>\n25 \u2212 (\u22124) =<br \/>\n________<\/p>\n<p>Answer: 29<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same sign, add their absolute value, and keep the common sign.<br \/>\nWhen adding two integers with opposite signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.<br \/>\n25 \u2212 (\u22124) = 25 + 4 = 29<\/p>\n<p>Question 6.<br \/>\n\u22123 \u2212 (\u221240) =<br \/>\n________<\/p>\n<p>Answer: 37<\/p>\n<p>Explanation:<br \/>\nIn adding two integers with the same sign, add their absolute value, and keep the common sign.<br \/>\nWhen adding two integers with opposite signs, subtract the smaller absolute value from the larger and keep the sign of the number with the larger absolute value.<br \/>\n-3 &#8211; (-40) = -3 + 40 = 37<\/p>\n<p>Question 7.<br \/>\nAntoine has $13 in his checking account. He buys some school supplies and ends up with $5 in his account. What was the overall change in Antoine\u2019s account?<br \/>\n$ ________<\/p>\n<p>Answer: $8<\/p>\n<p>Explanation:<br \/>\nThe overall change in his account is given by the difference between the final amount of money and the initial amount of money<br \/>\n5 &#8211; 13 = 5 + (-13) = -8<br \/>\nThe amount in his account is decreased by $8.<\/p>\n<p><em>Conclusion:<\/em><br \/>\nWe believe that the solutions provided in Go Math Answer Key Grade 7 Chapter 1 Adding and Subtracting Integers are helpful for you. Also, share the Go Math Grade 7 Key Chapter 1 Adding and Subtracting Integers with your dear ones to help to overcome the issues in solving the integer problems. It helps to learn the simple techniques to solve the adding and subtracting integer problems. If you have any doubts you can clarify them by posting the comments in the below section.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Are you searching for Go Math Grade 7 Solutions? then what are you waiting for Download Go Math Grade 7 Answer Key Chapter 1 Adding and Subtracting Integers pdf for free of cost. 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