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

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

1.Expand: −5(3x + 1)

Answer: −15x − 5

  1. −5 × 3x = −15x
  2. −5 × 1 = −5
2.Expand: −5(6x − 3)

Answer: −30x + 15

  1. −5 × 6x = −30x
  2. −5 × −3 = 15
3.Expand: −1(4x + 1)

Answer: −4x − 1

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

Answer: 16x − 8

  1. 4 × 4x = 16x
  2. 4 × −2 = −8
5.Expand: 7(4x + 7)

Answer: 28x + 49

  1. 7 × 4x = 28x
  2. 7 × 7 = 49
6.Expand: 6(2x − 3)

Answer: 12x − 18

  1. 6 × 2x = 12x
  2. 6 × −3 = −18
7.Expand: 1(2x + 7)

Answer: 2x + 7

  1. 1 × 2x = 2x
  2. 1 × 7 = 7
8.Expand: 1(x − 8)

Answer: x − 8

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

Answer: 20x − 4

  1. 4 × 5x = 20x
  2. 4 × −1 = −4
10.Expand: 7(5x + 6)

Answer: 35x + 42

  1. 7 × 5x = 35x
  2. 7 × 6 = 42
11.Expand: −2(5x − 2)

Answer: −10x + 4

  1. −2 × 5x = −10x
  2. −2 × −2 = 4
12.Expand: 7(3x + 6)

Answer: 21x + 42

  1. 7 × 3x = 21x
  2. 7 × 6 = 42
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