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Year 9 Expanding Brackets Worksheet — Level 1 — 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 — Answers

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

1.Expand: −3(3x + 4)

Answer: −9x − 12

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

Answer: −9x − 24

  1. −3 × 3x = −9x
  2. −3 × 8 = −24
3.Expand: −2(6x + 5)

Answer: −12x − 10

  1. −2 × 6x = −12x
  2. −2 × 5 = −10
4.Expand: 7(6x − 8)

Answer: 42x − 56

  1. 7 × 6x = 42x
  2. 7 × −8 = −56
5.Expand: −3(5x + 6)

Answer: −15x − 18

  1. −3 × 5x = −15x
  2. −3 × 6 = −18
6.Expand: 7(4x − 9)

Answer: 28x − 63

  1. 7 × 4x = 28x
  2. 7 × −9 = −63
7.Expand: −4(6x + 3)

Answer: −24x − 12

  1. −4 × 6x = −24x
  2. −4 × 3 = −12
8.Expand: −5(3x + 3)

Answer: −15x − 15

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

Answer: −12x + 4

  1. −2 × 6x = −12x
  2. −2 × −2 = 4
10.Expand: −5(3x + 8)

Answer: −15x − 40

  1. −5 × 3x = −15x
  2. −5 × 8 = −40
11.Expand: −1(5x + 7)

Answer: −5x − 7

  1. −1 × 5x = −5x
  2. −1 × 7 = −7
12.Expand: 2(2x + 9)

Answer: 4x + 18

  1. 2 × 2x = 4x
  2. 2 × 9 = 18
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