Extra Set

Grade 7 · Unit 4 · L15 · Version A · 9362

Equivalent expressions with rational numbers

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Date ________________

Period ________________

1.
Expand 5(x + (−4)).
Answer. 5x + −20
Distribute: 5x + 5(−4) = 5x + −20.
2.
Expand 3(x + (−3)).
Answer. 3x + −9
Distribute: 3x + 3(−3) = 3x + −9.
3.
Expand 2(x + (−2)).
Answer. 2x + −4
Distribute: 2x + 2(−2) = 2x + −4.
4.
Expand 4(x + (−3)).
Answer. 4x + −12
Distribute: 4x + 4(−3) = 4x + −12.
5.
Expand 5(x + (−4)). Then Grace needs 5 of that amount. What is the total they need?
Answer. 25x + −20
Distribute: 5x + 5(−4) = 5x + −20. Then multiply by 5: 25x + −20.
6.
Expand 3(x + (−3)). Then Malik needs 2 of that amount. What is the total they need?
Answer. 6x + −9
Distribute: 3x + 3(−3) = 3x + −9. Then multiply by 2: 6x + −9.
7.
Expand 2(x + (−5)). Then Mei needs 5 of that amount. What is the total they need?
Answer. 10x + −10
Distribute: 2x + 2(−5) = 2x + −10. Then multiply by 5: 10x + −10.
8.
Expand 5(x + (−4)). Then Nora needs 4 of that amount. What is the total they need?
Answer. 20x + −20
Distribute: 5x + 5(−4) = 5x + −20. Then multiply by 4: 20x + −20.
9.
Expand 4(x + (−2)). Then Theo needs 3 of that amount. What is the total they need?
Answer. 12x + −8
Distribute: 4x + 4(−2) = 4x + −8. Then multiply by 3: 12x + −8.
10.
Expand 2(x + (−4)). Then Nora needs 3 of that amount. What is the total they need?
Answer. 6x + −8
Distribute: 2x + 2(−4) = 2x + −8. Then multiply by 3: 6x + −8.
11.
Think
Ava tried this problem:
Expand 5(x + (−5)).
Ava wrote 10x + −25. That is not correct. What is the right answer?
Answer. 5x + −25
Ava’s answer 10x + −25 is off. Distribute: 5x + 5(−5) = 5x + −25.
12.
Think
Mei tried this problem:
Expand 5(x + (−1)).
Mei wrote 4x + −5. That is not correct. What is the right answer?
Answer. 5x + −5
Mei’s answer 4x + −5 is off. Distribute: 5x + 5(−1) = 5x + −5.

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

L15 · Equivalent expressions with rational numbers