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8th Grade Expanding Expressions (Distributive Property) Worksheet — Level 1 — Practice Set 3 — Answers

Answer sheet with worked solutions for the 8th Grade algebraic expressions worksheet.

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8th Grade Expanding Expressions (Distributive Property) Worksheet — Level 1 — Practice Set 3 — Answers

Multiply every term inside the parentheses. Then collect like terms.

1.Expand: −5(3x + 9)

Answer: −15x − 45

  1. −5 × 3x = −15x
  2. −5 × 9 = −45
2.Expand: −3(3x + 2)

Answer: −9x − 6

  1. −3 × 3x = −9x
  2. −3 × 2 = −6
3.Expand: 6(2x − 1)

Answer: 12x − 6

  1. 6 × 2x = 12x
  2. 6 × −1 = −6
4.Expand: 4(3x − 9)

Answer: 12x − 36

  1. 4 × 3x = 12x
  2. 4 × −9 = −36
5.Expand: −3(3x − 9)

Answer: −9x + 27

  1. −3 × 3x = −9x
  2. −3 × −9 = 27
6.Expand: 2(x + 5)

Answer: 2x + 10

  1. 2 × x = 2x
  2. 2 × 5 = 10
7.Expand: −4(2x − 3)

Answer: −8x + 12

  1. −4 × 2x = −8x
  2. −4 × −3 = 12
8.Expand: 1(4x − 5)

Answer: 4x − 5

  1. 1 × 4x = 4x
  2. 1 × −5 = −5
9.Expand: −2(3x − 4)

Answer: −6x + 8

  1. −2 × 3x = −6x
  2. −2 × −4 = 8
10.Expand: 7(4x − 8)

Answer: 28x − 56

  1. 7 × 4x = 28x
  2. 7 × −8 = −56
11.Expand: −5(6x − 4)

Answer: −30x + 20

  1. −5 × 6x = −30x
  2. −5 × −4 = 20
12.Expand: 3(3x + 5)

Answer: 9x + 15

  1. 3 × 3x = 9x
  2. 3 × 5 = 15
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