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Year 9 Expanding Brackets Worksheet — Level 1 — Practice Set 3 — Answers

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

Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Algebraic Expressions

Year 9 Expanding Brackets Worksheet — Level 1 — Practice Set 3 — Answers

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

1.Expand: 3(5x − 8)

Answer: 15x − 24

  1. 3 × 5x = 15x
  2. 3 × −8 = −24
2.Expand: 1(5x + 1)

Answer: 5x + 1

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

Answer: 18x + 18

  1. 6 × 3x = 18x
  2. 6 × 3 = 18
4.Expand: 1(2x − 7)

Answer: 2x − 7

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

Answer: 8x − 12

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

Answer: 24x + 6

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

Answer: −10x + 6

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

Answer: −15x − 9

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

Answer: 3x − 5

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

Answer: 12x − 8

  1. 4 × 3x = 12x
  2. 4 × −2 = −8
11.Expand: 5(5x − 8)

Answer: 25x − 40

  1. 5 × 5x = 25x
  2. 5 × −8 = −40
12.Expand: 2(2x + 4)

Answer: 4x + 8

  1. 2 × 2x = 4x
  2. 2 × 4 = 8
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