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Year 9 Expanding Brackets Worksheet — Level 1 — Answers

Answer sheet with worked solutions for the Year 9 algebraic expressions worksheet.

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Year 9 · Mathematics · Algebraic Expressions

Year 9 Expanding Brackets Worksheet — Level 1 — Answers

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

1.Expand: −3(3x + 3)

Answer: −9x − 9

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

Answer: −6x − 10

  1. −2 × 3x = −6x
  2. −2 × 5 = −10
3.Expand: 1(5x + 9)

Answer: 5x + 9

  1. 1 × 5x = 5x
  2. 1 × 9 = 9
4.Expand: 4(x + 8)

Answer: 4x + 32

  1. 4 × x = 4x
  2. 4 × 8 = 32
5.Expand: 2(x + 1)

Answer: 2x + 2

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

Answer: 2x − 8

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

Answer: −3x − 24

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

Answer: x + 1

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

Answer: 8x − 10

  1. 2 × 4x = 8x
  2. 2 × −5 = −10
10.Expand: −2(x − 4)

Answer: −2x + 8

  1. −2 × x = −2x
  2. −2 × −4 = 8
11.Expand: −2(2x + 5)

Answer: −4x − 10

  1. −2 × 2x = −4x
  2. −2 × 5 = −10
12.Expand: −2(2x − 3)

Answer: −4x + 6

  1. −2 × 2x = −4x
  2. −2 × −3 = 6
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