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Grade 7 math, Common Core 7.EE.A.1
Use the distributive property to expand or factor.
Grade 7 math. Each answer has a few worked steps, to help check the method as well as the answer.
1. −2n + 20
4(n + 5) = 4n + 20Combine 4n and −6n
2. 4(3x − 5)
3. 5(2x + 1)
4. 3(5n − 6)
5. 8(6x − 7)
6. 6x − 16
4(3x − 4) = 12x − 16Combine 12x and −6x
7. 22n − 42
6(4n − 7) = 24n − 42Combine 24n and −2n
8. 35x + 14
7 × 5x = 35x7 × 2 = 14
9. 2(5n + 1)
10. 5(4y + 3)
The answer key prints on its own page. You’re welcome to print and copy these worksheets for your own kids or class.
The distributive property says a(b + c) = ab + ac: the number outside the brackets multiplies every term inside. It works with negatives too: −3(x − 4) = −3x + 12. Factoring runs it backwards, pulling a common factor out of each term.
Answer: 7x + 49
Answer: 40y − 40
Answer: −2x + 1
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