Extra Set

Grade 7 · Unit 4 · Prep · Version A · 5CFD

Equivalent expressions

Name ________________

Date ________________

Period ________________

1.
Which expression is equivalent to 7(x + 7) + 5?
Answer. 7x + 54
Distribute: 7x + 49. Then add 5: 7x + 54.
2.
Which expression is equivalent to 6(x + 5) + 9?
Answer. 6x + 39
Distribute: 6x + 30. Then add 9: 6x + 39.
3.
Which expression is equivalent to 8(x + 5) + 4?
Answer. 8x + 44
Distribute: 8x + 40. Then add 4: 8x + 44.
4.
Which expression is equivalent to 5(x + 6) + 3?
Answer. 5x + 33
Distribute: 5x + 30. Then add 3: 5x + 33.
5.
Which expression is equivalent to 6(x + 3) + 4? Then Owen needs 3 of that amount. What is the total they need?
Answer. 18x + 22
Distribute: 6x + 18. Then add 4: 6x + 22. Then multiply by 3: 18x + 22.
6.
Which expression is equivalent to 7(x + 2) + 5? Then Sam needs 4 of that amount. What is the total they need?
Answer. 28x + 19
Distribute: 7x + 14. Then add 5: 7x + 19. Then multiply by 4: 28x + 19.
7.
Which expression is equivalent to 8(x + 7) + 4? Then Elena needs 2 of that amount. What is the total they need?
Answer. 16x + 60
Distribute: 8x + 56. Then add 4: 8x + 60. Then multiply by 2: 16x + 60.
8.
Which expression is equivalent to 6(x + 3) + 2? Then Luis needs 3 of that amount. What is the total they need?
Answer. 18x + 20
Distribute: 6x + 18. Then add 2: 6x + 20. Then multiply by 3: 18x + 20.
9.
Which expression is equivalent to 7(x + 7) + 6? Then Elena needs 2 of that amount. What is the total they need?
Answer. 14x + 55
Distribute: 7x + 49. Then add 6: 7x + 55. Then multiply by 2: 14x + 55.
10.
Which expression is equivalent to 6(x + 5) + 7? Then Sam needs 5 of that amount. What is the total they need?
Answer. 30x + 37
Distribute: 6x + 30. Then add 7: 6x + 37. Then multiply by 5: 30x + 37.
11.
Think
Theo tried this problem:
Which expression is equivalent to 7(x + 2) + 9?
Theo wrote 14x + 23. That is not correct. What is the right answer?
Answer. 7x + 23
Theo’s answer 14x + 23 is off. Distribute: 7x + 14. Then add 9: 7x + 23.
12.
Think
Jonah tried this problem:
Which expression is equivalent to 3(x + 2) + 5?
Jonah wrote 6x + 11. That is not correct. What is the right answer?
Answer. 3x + 11
Jonah’s answer 6x + 11 is off. Distribute: 3x + 6. Then add 5: 3x + 11.

Original extra practice. Keys are computed from the items, not guessed.

Prep · Equivalent expressions