\nAnswer:
\n
![\"Eureka](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/04\/Eureka-Math-Grade-6-Module-4-Lesson-26-Exercise-Answer-Key-1.png\")
<\/p>\nExercise 1:<\/p>\n
Solve each equation. Use both tape diagrams and algebraic methods for each problem. Use substitution to check your answers.<\/p>\n
a. b + 9 = 15
\nAnswer:
\n<\/p>\n
Algebraically:
\nb + 9 = 15
\nb + 9 – 9 = 15 – 9
\nb = 6
\nCheck:
\n6 + 9 – 9 = 15 – 9; 6 = 6. This is a true number sentence, so 6 is the correct solution.<\/p>\n
b. 12 = 8 + c
\nAnswer:
\n![\"Eureka](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/04\/Eureka-Math-Grade-6-Module-4-Lesson-26-Exercise-Answer-Key-2.png\")
<\/p>\n
Algebraically:
\n12 = 8 + c
\n12 – 8 = 8 + c – 8
\n4 = c
\nCheck:
\n12 – 8 = 8 + 4 – 8; 4 = 4. This is a true number sentence, so 4 is the correct solution.<\/p>\n
Exercise 2:<\/p>\n
Given the equation d – 5 = 7.<\/p>\n
a. Demonstrate how to solve the equation using tape diagrams.
\nAnswer:
\n![\"Eureka](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/04\/Eureka-Math-Grade-6-Module-4-Lesson-26-Exercise-Answer-Key-3.png\")
<\/p>\n
b. Demonstrate how to solve the equation algebraically.
\nAnswer:
\nd – 5 = 7
\nd – 5 + 5 = 7 + 5
\nd = 12<\/p>\n
c. check your answer.
\nAnswer:
\n12 – 5 + 5 = 7 + 5; 12 = 12. This is a true number sentence, so our solution is correct.<\/p>\n
Exercise 3:<\/p>\n
Solve each problem, and show your work. You may choose which method (tape diagrams or algebraically) you prefer. Check your answers after solving each problem.<\/p>\n
a. e + 12 = 20
\nAnswer:
\n![\"Eureka](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/04\/Eureka-Math-Grade-6-Module-4-Lesson-26-Exercise-Answer-Key-4.png\")
<\/p>\n
Algebraically:
\ne + 12 = 20
\ne + 12 – 12 = 20 – 12
\ne = 8
\nCheck:
\n8 + 12 – 12 = 20 – 12; 8 = 8. This is a true number sentence, so our answer is correct.<\/p>\n
b. f – 10 = 15
\nAnswer:
\n![\"Eureka](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/04\/Eureka-Math-Grade-6-Module-4-Lesson-26-Exercise-Answer-Key-5.png\")
<\/p>\n
Algebraically:
\nf – 10 = 15
\nf – 10 + 10 = 15 + 10
\nf = 25
\nCheck:
\n25 – 10 + 10 = 15 + 10; 25 = 25. This is a true number sentence, so our solution is correct.<\/p>\n
c. g – 8 = 9
\nAnswer:
\n![\"Eureka](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/04\/Eureka-Math-Grade-6-Module-4-Lesson-26-Exercise-Answer-Key-6.png\")
<\/p>\n
Algebraically:
\ng – 8 = 9
\ng – 8 + 8 = 9 + 8
\ng = 17
\nCheck:
\n17 – 8 + 8 = 9 + 8; 17 = 17. This number sentence is true, so our solution is correct.<\/p>\n
Question 1.
\nFind the solution to the equation below using tape diagrams. Check your answer. m – 7 = 17
\nAnswer:
\n![\"Eureka](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/04\/Eureka-Math-Grade-6-Module-4-Lesson-26-Problem-Set-Answer-Key-7.png\")
<\/p>\n
m is equal to 24; m = 24.
\nCheck:
\n24 – 7 = 17; 17 = 17. This number sentence is true, so the solution is correct.<\/p>\n
Question 2.
\nFind the solution of the equation below algebraically. Check your answer.
\nAnswer:
\nn + 14 = 25
\nn + 14 – 14 = 25 – 14
\nn = 11
\nCheck:
\n11 + 14 = 25; 25 = 25. This number sentence is true, so the solution is correct.<\/p>\n
Question 3.
\nFind the solution of the equation below using tape diagrams. Check your answer. p + 8 = 18
\nAnswer:
\n![\"Eureka](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/04\/Eureka-Math-Grade-6-Module-4-Lesson-26-Problem-Set-Answer-Key-8.png\")
<\/p>\n
Check:
\n10 + 8 = 18; 18 = 18. This number sentence is true, so the solution is correct.<\/p>\n
Question 4.
\nFind the solution to the equation algebraically. Check your answer.
\nAnswer:
\ng – 62 = 14
\ng – 62 + 62 = 14 + 62
\ng = 76
\nCheck:
\n76 – 62 = 14; 14 = 14. This number sentence is true, so the solution is correct.<\/p>\n
Question 5.
\nFind the solution to the equation using the method of your choice. Check your answer. m + 108 = 243
\nAnswer:
\nTape Diagrams:<\/p>\n
![\"Eureka](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/04\/Eureka-Math-Grade-6-Module-4-Lesson-26-Problem-Set-Answer-Key-9.png\")
<\/p>\n
Algebraically:
\nm + 108 = 243
\nm + 108 – 108 = 243 – 108
\nm = 35
\nCheck:
\n135 + 108 = 243; 243 = 243. This number sentence is true, so the solution is correct.<\/p>\n
Question 6.
\nIdentify the mistake in the problem below. Then, correct the mistake.
\nAnswer:
\np – 21 = 34
\np – 21 – 21 = 34 – 21
\np = 13
\nThe mistake is subtracting rather than adding 21. This is incorrect because p – 21 – 21 would not equal p.
\np – 21 = 34
\np – 21 + 21 = 34 + 21
\np = 55<\/p>\n
Question 7.
\nIdentify the mistake in the problem below. Then, correct the mistake.
\nAnswer:
\nq + 18 = 22
\nq + 18 – 18 = 22 + 18
\nq = 40
\nThe mistake is adding 18 on the right side of the equation instead of subtracting it from both sides.
\nq + 18 = 22
\nq + 18 – 18 = 22 – 18
\nq = 4<\/p>\n
Question 8.
\nMatch the equation with the correct solution on the right.
\n![\"Eureka](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/04\/Eureka-Math-Grade-6-Module-4-Lesson-26-Problem-Set-Answer-Key-10.png\")
\nAnswer:
\n![\"Eureka](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/04\/Eureka-Math-Grade-6-Module-4-Lesson-26-Problem-Set-Answer-Key-11.png\")
<\/p>\n
Question 1.
\nIf you know the answer, state it. Then, use a tape diagram to demonstrate why this is the correct answer. If you do not know the answer, find the solution using a tape diagram. j + 12 = 25
\nAnswer:
\n![\"Eureka](\"https:\/\/ccssmathanswers.com\/wp-content\/uploads\/2021\/04\/Eureka-Math-Grade-6-Module-4-Lesson-26-Exit-Ticket-Answer-Key-12.png\")
<\/p>\n
j is equal to 13; j = 13.
\nCheck:
\n13 + 12 = 25; 25 = 25. This is a true number sentence, so the solution is correct.<\/p>\n
Question 2.
\nFind the solution to the equation algebraically. Check your answer.
\nAnswer:
\nk – 16 = 4
\nk – 16 + 16 = 4 + 16
\nk = 20
\nCheck: 20 – 16 = 4; 4 = 4. This is a true number sentence, so the solution is correct.<\/p>\n","protected":false},"excerpt":{"rendered":"
Engage NY Eureka Math Grade 6 Module 4 Lesson 26 Answer Key Eureka Math Grade 6 Module 4 Lesson 26 Exercise Answer Key Exercise 1: Solve each equation. Use both tape diagrams and algebraic methods for each problem. Use substitution to check your answers. a. b + 9 = 15 Answer: Algebraically: b + 9 … Read more<\/a><\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"spay_email":""},"categories":[6],"tags":[],"jetpack_featured_media_url":"","_links":{"self":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/88286"}],"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\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/comments?post=88286"}],"version-history":[{"count":1,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/88286\/revisions"}],"predecessor-version":[{"id":91324,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/posts\/88286\/revisions\/91324"}],"wp:attachment":[{"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/media?parent=88286"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/categories?post=88286"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/bigideasmathanswers.com\/wp-json\/wp\/v2\/tags?post=88286"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}