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Year 8 Expanding Brackets Worksheet — Level 1 — Answers

Answer sheet with worked solutions for the Year 8 algebraic expressions worksheet.

Year 8 · Mathematics · Algebraic Expressions

Year 8 Expanding Brackets Worksheet — Level 1 — Answers

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

1.Expand: −2(3x + 3)

Answer: −6x − 6

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

Answer: −2x − 8

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

Answer: −18x + 24

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

Answer: 36x + 36

  1. 6 × 6x = 36x
  2. 6 × 6 = 36
5.Expand: 6(x − 7)

Answer: 6x − 42

  1. 6 × x = 6x
  2. 6 × −7 = −42
6.Expand: −1(4x + 5)

Answer: −4x − 5

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

Answer: −15x − 15

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

Answer: 6x − 8

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

Answer: 6x − 12

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

Answer: −2x − 5

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

Answer: −15x + 9

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

Answer: 15x + 10

  1. 5 × 3x = 15x
  2. 5 × 2 = 10
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