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8th Grade Expanding Expressions (Distributive Property) Worksheet — Level 1 — Practice Set 2 — 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 2 — Answers

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

1.Expand: −3(2x − 4)

Answer: −6x + 12

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

Answer: 18x − 12

  1. 6 × 3x = 18x
  2. 6 × −2 = −12
3.Expand: −1(4x + 5)

Answer: −4x − 5

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

Answer: 10x − 10

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

Answer: −16x + 12

  1. −4 × 4x = −16x
  2. −4 × −3 = 12
6.Expand: −1(5x − 5)

Answer: −5x + 5

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

Answer: −4x − 4

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

Answer: 24x − 36

  1. 6 × 4x = 24x
  2. 6 × −6 = −36
9.Expand: −3(3x − 8)

Answer: −9x + 24

  1. −3 × 3x = −9x
  2. −3 × −8 = 24
10.Expand: 5(x + 2)

Answer: 5x + 10

  1. 5 × x = 5x
  2. 5 × 2 = 10
11.Expand: −5(3x − 9)

Answer: −15x + 45

  1. −5 × 3x = −15x
  2. −5 × −9 = 45
12.Expand: 2(5x − 6)

Answer: 10x − 12

  1. 2 × 5x = 10x
  2. 2 × −6 = −12
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