7th Grade Expanding Expressions (Distributive Property) Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the 7th Grade algebraic expressions worksheet.
7th Grade Expanding Expressions (Distributive Property) Worksheet — Level 1 — Answers
Multiply every term inside the parentheses. Then collect like terms.
1.Expand: −2(6x − 7)
Answer: −12x + 14
- −2 × 6x = −12x
- −2 × −7 = 14
2.Expand: −2(2x − 4)
Answer: −4x + 8
- −2 × 2x = −4x
- −2 × −4 = 8
3.Expand: −2(2x + 5)
Answer: −4x − 10
- −2 × 2x = −4x
- −2 × 5 = −10
4.Expand: 5(5x + 9)
Answer: 25x + 45
- 5 × 5x = 25x
- 5 × 9 = 45
5.Expand: 3(4x + 9)
Answer: 12x + 27
- 3 × 4x = 12x
- 3 × 9 = 27
6.Expand: 6(3x − 2)
Answer: 18x − 12
- 6 × 3x = 18x
- 6 × −2 = −12
7.Expand: 4(x + 3)
Answer: 4x + 12
- 4 × x = 4x
- 4 × 3 = 12
8.Expand: −4(3x + 7)
Answer: −12x − 28
- −4 × 3x = −12x
- −4 × 7 = −28
9.Expand: −2(6x + 8)
Answer: −12x − 16
- −2 × 6x = −12x
- −2 × 8 = −16
10.Expand: 7(4x − 2)
Answer: 28x − 14
- 7 × 4x = 28x
- 7 × −2 = −14
11.Expand: −4(5x − 2)
Answer: −20x + 8
- −4 × 5x = −20x
- −4 × −2 = 8
12.Expand: 7(3x + 7)
Answer: 21x + 49
- 7 × 3x = 21x
- 7 × 7 = 49
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