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10th Grade Expanding Expressions (Distributive Property) Worksheet — Level 1 — Answers

Answer sheet with worked solutions for the 10th Grade algebraic expressions worksheet.

Success TutoringWorksheetsAnswer sheet10th Grade · Mathematics · Algebraic Expressions

10th Grade Expanding Expressions (Distributive Property) Worksheet — Level 1 — Answers

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

1.Expand: −5(3x + 8)

Answer: −15x − 40

  1. −5 × 3x = −15x
  2. −5 × 8 = −40
2.Expand: 3(5x + 4)

Answer: 15x + 12

  1. 3 × 5x = 15x
  2. 3 × 4 = 12
3.Expand: 1(4x − 5)

Answer: 4x − 5

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

Answer: 4x + 5

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

Answer: 8x − 18

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

Answer: 8x + 36

  1. 4 × 2x = 8x
  2. 4 × 9 = 36
7.Expand: 6(6x + 2)

Answer: 36x + 12

  1. 6 × 6x = 36x
  2. 6 × 2 = 12
8.Expand: −1(4x + 3)

Answer: −4x − 3

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

Answer: −3x − 12

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

Answer: −12x + 9

  1. −3 × 4x = −12x
  2. −3 × −3 = 9
11.Expand: 7(6x + 8)

Answer: 42x + 56

  1. 7 × 6x = 42x
  2. 7 × 8 = 56
12.Expand: 1(2x − 1)

Answer: 2x − 1

  1. 1 × 2x = 2x
  2. 1 × −1 = −1
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