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Year 8 Expanding Brackets Worksheet — Level 1 (Set 2) — Answers

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

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Year 8 · Mathematics · Algebraic Expressions

Year 8 Expanding Brackets Worksheet — Level 1 (Set 2) — Answers

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

1.Expand: 1(2x − 9)

Answer: 2x − 9

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

Answer: 4x + 1

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

Answer: 30x − 24

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

Answer: 2x − 18

  1. 2 × x = 2x
  2. 2 × −9 = −18
5.Expand: −3(4x + 1)

Answer: −12x − 3

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

Answer: 6x + 2

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

Answer: 12x − 6

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

Answer: 9x − 9

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

Answer: 15x + 18

  1. 3 × 5x = 15x
  2. 3 × 6 = 18
10.Expand: 6(4x − 5)

Answer: 24x − 30

  1. 6 × 4x = 24x
  2. 6 × −5 = −30
11.Expand: 3(4x + 3)

Answer: 12x + 9

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

Answer: −4x − 3

  1. −1 × 4x = −4x
  2. −1 × 3 = −3
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