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9th Grade Expanding Expressions (Distributive Property) Worksheet — Level 1 — Practice Set 2 — 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 2 — Answers

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

1.Expand: −2(5x + 9)

Answer: −10x − 18

  1. −2 × 5x = −10x
  2. −2 × 9 = −18
2.Expand: −2(4x + 9)

Answer: −8x − 18

  1. −2 × 4x = −8x
  2. −2 × 9 = −18
3.Expand: 6(5x + 8)

Answer: 30x + 48

  1. 6 × 5x = 30x
  2. 6 × 8 = 48
4.Expand: −5(5x − 4)

Answer: −25x + 20

  1. −5 × 5x = −25x
  2. −5 × −4 = 20
5.Expand: 2(3x + 9)

Answer: 6x + 18

  1. 2 × 3x = 6x
  2. 2 × 9 = 18
6.Expand: −4(5x + 5)

Answer: −20x − 20

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

Answer: −30x + 25

  1. −5 × 6x = −30x
  2. −5 × −5 = 25
8.Expand: 1(6x − 2)

Answer: 6x − 2

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

Answer: 18x + 18

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

Answer: −12x − 2

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

Answer: 12x + 6

  1. 2 × 6x = 12x
  2. 2 × 3 = 6
12.Expand: −2(x − 8)

Answer: −2x + 16

  1. −2 × x = −2x
  2. −2 × −8 = 16
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