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10th Grade Expanding Expressions (Distributive Property) Worksheet — Level 1 — Practice Set 3 — 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 — Practice Set 3 — Answers

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

1.Expand: −3(5x − 4)

Answer: −15x + 12

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

Answer: −x + 2

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

Answer: 6x + 8

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

Answer: 10x + 10

  1. 2 × 5x = 10x
  2. 2 × 5 = 10
5.Expand: −2(3x − 6)

Answer: −6x + 12

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

Answer: −6x + 5

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

Answer: −12x + 14

  1. −2 × 6x = −12x
  2. −2 × −7 = 14
8.Expand: −2(2x + 1)

Answer: −4x − 2

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

Answer: 12x + 27

  1. 3 × 4x = 12x
  2. 3 × 9 = 27
10.Expand: −1(6x + 9)

Answer: −6x − 9

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

Answer: −6x + 21

  1. −3 × 2x = −6x
  2. −3 × −7 = 21
12.Expand: 1(6x − 8)

Answer: 6x − 8

  1. 1 × 6x = 6x
  2. 1 × −8 = −8
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