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9th Grade Expanding Expressions (Distributive Property) Worksheet — Level 1 — Practice Set 3 — Answers

Answer sheet with worked solutions for the 9th Grade algebraic expressions worksheet.

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9th Grade Expanding Expressions (Distributive Property) Worksheet — Level 1 — Practice Set 3 — Answers

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

1.Expand: 6(3x + 7)

Answer: 18x + 42

  1. 6 × 3x = 18x
  2. 6 × 7 = 42
2.Expand: 3(3x − 5)

Answer: 9x − 15

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

Answer: −30x + 30

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

Answer: −15x − 15

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

Answer: 18x + 18

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

Answer: 30x + 15

  1. 5 × 6x = 30x
  2. 5 × 3 = 15
7.Expand: 7(x + 1)

Answer: 7x + 7

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

Answer: −15x − 3

  1. −3 × 5x = −15x
  2. −3 × 1 = −3
9.Expand: 6(2x − 7)

Answer: 12x − 42

  1. 6 × 2x = 12x
  2. 6 × −7 = −42
10.Expand: 2(2x + 9)

Answer: 4x + 18

  1. 2 × 2x = 4x
  2. 2 × 9 = 18
11.Expand: −3(3x + 2)

Answer: −9x − 6

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

Answer: −5x + 2

  1. −1 × 5x = −5x
  2. −1 × −2 = 2
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