## 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

Algebraically:
b + 9 = 15
b + 9 – 9 = 15 – 9
b = 6
Check:
6 + 9 – 9 = 15 – 9; 6 = 6. This is a true number sentence, so 6 is the correct solution.

b. 12 = 8 + c

Algebraically:
12 = 8 + c
12 – 8 = 8 + c – 8
4 = c
Check:
12 – 8 = 8 + 4 – 8; 4 = 4. This is a true number sentence, so 4 is the correct solution.

Exercise 2:

Given the equation d – 5 = 7.

a. Demonstrate how to solve the equation using tape diagrams.

b. Demonstrate how to solve the equation algebraically.
d – 5 = 7
d – 5 + 5 = 7 + 5
d = 12

12 – 5 + 5 = 7 + 5; 12 = 12. This is a true number sentence, so our solution is correct.

Exercise 3:

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.

a. e + 12 = 20

Algebraically:
e + 12 = 20
e + 12 – 12 = 20 – 12
e = 8
Check:
8 + 12 – 12 = 20 – 12; 8 = 8. This is a true number sentence, so our answer is correct.

b. f – 10 = 15

Algebraically:
f – 10 = 15
f – 10 + 10 = 15 + 10
f = 25
Check:
25 – 10 + 10 = 15 + 10; 25 = 25. This is a true number sentence, so our solution is correct.

c. g – 8 = 9

Algebraically:
g – 8 = 9
g – 8 + 8 = 9 + 8
g = 17
Check:
17 – 8 + 8 = 9 + 8; 17 = 17. This number sentence is true, so our solution is correct.

### Eureka Math Grade 6 Module 4 Lesson 26 Problem Set Answer Key

Question 1.
Find the solution to the equation below using tape diagrams. Check your answer. m – 7 = 17

m is equal to 24; m = 24.
Check:
24 – 7 = 17; 17 = 17. This number sentence is true, so the solution is correct.

Question 2.
n + 14 = 25
n + 14 – 14 = 25 – 14
n = 11
Check:
11 + 14 = 25; 25 = 25. This number sentence is true, so the solution is correct.

Question 3.
Find the solution of the equation below using tape diagrams. Check your answer. p + 8 = 18

Check:
10 + 8 = 18; 18 = 18. This number sentence is true, so the solution is correct.

Question 4.
g – 62 = 14
g – 62 + 62 = 14 + 62
g = 76
Check:
76 – 62 = 14; 14 = 14. This number sentence is true, so the solution is correct.

Question 5.
Find the solution to the equation using the method of your choice. Check your answer. m + 108 = 243
Tape Diagrams:

Algebraically:
m + 108 = 243
m + 108 – 108 = 243 – 108
m = 35
Check:
135 + 108 = 243; 243 = 243. This number sentence is true, so the solution is correct.

Question 6.
Identify the mistake in the problem below. Then, correct the mistake.
p – 21 = 34
p – 21 – 21 = 34 – 21
p = 13
The mistake is subtracting rather than adding 21. This is incorrect because p – 21 – 21 would not equal p.
p – 21 = 34
p – 21 + 21 = 34 + 21
p = 55

Question 7.
Identify the mistake in the problem below. Then, correct the mistake.
q + 18 = 22
q + 18 – 18 = 22 + 18
q = 40
The mistake is adding 18 on the right side of the equation instead of subtracting it from both sides.
q + 18 = 22
q + 18 – 18 = 22 – 18
q = 4

Question 8.
Match the equation with the correct solution on the right.

### Eureka Math Grade 6 Module 4 Lesson 26 Exit Ticket Answer Key

Question 1.
If 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