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

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

1.Expand: 4(5x − 3)

Answer: 20x − 12

  1. 4 × 5x = 20x
  2. 4 × −3 = −12
2.Expand: 5(5x − 6)

Answer: 25x − 30

  1. 5 × 5x = 25x
  2. 5 × −6 = −30
3.Expand: 3(5x − 3)

Answer: 15x − 9

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

Answer: −15x + 45

  1. −5 × 3x = −15x
  2. −5 × −9 = 45
5.Expand: 3(6x + 8)

Answer: 18x + 24

  1. 3 × 6x = 18x
  2. 3 × 8 = 24
6.Expand: −1(5x + 3)

Answer: −5x − 3

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

Answer: −9x − 9

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

Answer: 30x − 24

  1. 6 × 5x = 30x
  2. 6 × −4 = −24
9.Expand: −1(4x − 8)

Answer: −4x + 8

  1. −1 × 4x = −4x
  2. −1 × −8 = 8
10.Expand: 7(6x + 7)

Answer: 42x + 49

  1. 7 × 6x = 42x
  2. 7 × 7 = 49
11.Expand: −5(3x − 5)

Answer: −15x + 25

  1. −5 × 3x = −15x
  2. −5 × −5 = 25
12.Expand: −3(6x − 5)

Answer: −18x + 15

  1. −3 × 6x = −18x
  2. −3 × −5 = 15
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