## 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 = 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

Answer:

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.

Answer:

b. Demonstrate how to solve the equation algebraically.

Answer:

d – 5 = 7

d – 5 + 5 = 7 + 5

d = 12

c. check your answer.

Answer:

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

Answer:

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

Answer:

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

Answer:

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

Answer:

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.

Find the solution of the equation below algebraically. Check your answer.

Answer:

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

Answer:

Check:

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

Question 4.

Find the solution to the equation algebraically. Check your answer.

Answer:

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

Answer:

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.

Answer:

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.

Answer:

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.

Answer:

### 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

Answer:

j is equal to 13; j = 13.

Check:

13 + 12 = 25; 25 = 25. This is a true number sentence, so the solution is correct.

Question 2.

Find the solution to the equation algebraically. Check your answer.

Answer:

k – 16 = 4

k – 16 + 16 = 4 + 16

k = 20

Check: 20 – 16 = 4; 4 = 4. This is a true number sentence, so the solution is correct.