Extra Set

Grade 6 · Unit 5 · L19 · Version A · 7551

Equivalent expressions

Name ________________

Date ________________

Period ________________

1.
Which expression is equivalent to 6(x + 2) + 7?
Answer. 6x + 19
Distribute: 6x + 12. Then add 7: 6x + 19.
2.
Which expression is equivalent to 2(x + 5) + 6?
Answer. 2x + 16
Distribute: 2x + 10. Then add 6: 2x + 16.
3.
Which expression is equivalent to 8(x + 4) + 4?
Answer. 8x + 36
Distribute: 8x + 32. Then add 4: 8x + 36.
4.
Which expression is equivalent to 3(x + 7) + 5?
Answer. 3x + 26
Distribute: 3x + 21. Then add 5: 3x + 26.
5.
Which expression is equivalent to 8(x + 3) + 3? Then Theo needs 2 of that amount. What is the total they need?
Answer. 16x + 27
Distribute: 8x + 24. Then add 3: 8x + 27. Then multiply by 2: 16x + 27.
6.
Which expression is equivalent to 5(x + 2) + 7? Then Ava needs 4 of that amount. What is the total they need?
Answer. 20x + 17
Distribute: 5x + 10. Then add 7: 5x + 17. Then multiply by 4: 20x + 17.
7.
Which expression is equivalent to 2(x + 6) + 7? Then Grace needs 2 of that amount. What is the total they need?
Answer. 4x + 19
Distribute: 2x + 12. Then add 7: 2x + 19. Then multiply by 2: 4x + 19.
8.
Which expression is equivalent to 2(x + 7) + 4? Then Elena needs 2 of that amount. What is the total they need?
Answer. 4x + 18
Distribute: 2x + 14. Then add 4: 2x + 18. Then multiply by 2: 4x + 18.
9.
Which expression is equivalent to 4(x + 6) + 8? Then Sam needs 4 of that amount. What is the total they need?
Answer. 16x + 32
Distribute: 4x + 24. Then add 8: 4x + 32. Then multiply by 4: 16x + 32.
10.
Which expression is equivalent to 8(x + 7) + 5? Then Mei needs 3 of that amount. What is the total they need?
Answer. 24x + 61
Distribute: 8x + 56. Then add 5: 8x + 61. Then multiply by 3: 24x + 61.
11.
Think
Priya tried this problem:
Which expression is equivalent to 8(x + 3) + 4?
Priya wrote 16x + 28. That is not correct. What is the right answer?
Answer. 8x + 28
Priya’s answer 16x + 28 is off. Distribute: 8x + 24. Then add 4: 8x + 28.
12.
Think
Mei tried this problem:
Which expression is equivalent to 6(x + 7) + 1?
Mei wrote 7x + 43. That is not correct. What is the right answer?
Answer. 6x + 43
Mei’s answer 7x + 43 is off. Distribute: 6x + 42. Then add 1: 6x + 43.

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

L19 · Equivalent expressions