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

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

1.Expand: 4(2x − 1)

Answer: 8x − 4

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

Answer: −10x + 15

  1. −5 × 2x = −10x
  2. −5 × −3 = 15
3.Expand: 7(x + 2)

Answer: 7x + 14

  1. 7 × x = 7x
  2. 7 × 2 = 14
4.Expand: −5(2x − 5)

Answer: −10x + 25

  1. −5 × 2x = −10x
  2. −5 × −5 = 25
5.Expand: −4(2x + 6)

Answer: −8x − 24

  1. −4 × 2x = −8x
  2. −4 × 6 = −24
6.Expand: 1(4x + 4)

Answer: 4x + 4

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

Answer: −4x − 1

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

Answer: −20x − 12

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

Answer: −16x + 20

  1. −4 × 4x = −16x
  2. −4 × −5 = 20
10.Expand: 3(2x − 9)

Answer: 6x − 27

  1. 3 × 2x = 6x
  2. 3 × −9 = −27
11.Expand: 5(6x − 7)

Answer: 30x − 35

  1. 5 × 6x = 30x
  2. 5 × −7 = −35
12.Expand: −5(4x + 6)

Answer: −20x − 30

  1. −5 × 4x = −20x
  2. −5 × 6 = −30
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