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Year 9 Expanding Brackets Worksheet — Level 1 (Set 2) — Answers

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

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Algebraic Expressions

Year 9 Expanding Brackets Worksheet — Level 1 (Set 2) — Answers

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

1.Expand: 2(x − 9)

Answer: 2x − 18

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

Answer: −3x + 9

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

Answer: 10x + 10

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

Answer: 6x − 12

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

Answer: 4x + 9

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

Answer: 4x − 36

  1. 4 × x = 4x
  2. 4 × −9 = −36
7.Expand: −3(6x + 4)

Answer: −18x − 12

  1. −3 × 6x = −18x
  2. −3 × 4 = −12
8.Expand: −4(2x + 9)

Answer: −8x − 36

  1. −4 × 2x = −8x
  2. −4 × 9 = −36
9.Expand: −1(x + 1)

Answer: −x − 1

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

Answer: −10x + 8

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

Answer: 4x − 8

  1. 2 × 2x = 4x
  2. 2 × −4 = −8
12.Expand: 6(4x − 5)

Answer: 24x − 30

  1. 6 × 4x = 24x
  2. 6 × −5 = −30
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