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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: 4(6x + 6)

Answer: 24x + 24

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

Answer: 20x − 15

  1. 5 × 4x = 20x
  2. 5 × −3 = −15
3.Expand: 5(3x − 2)

Answer: 15x − 10

  1. 5 × 3x = 15x
  2. 5 × −2 = −10
4.Expand: 2(6x + 9)

Answer: 12x + 18

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

Answer: −4x − 32

  1. −4 × x = −4x
  2. −4 × 8 = −32
6.Expand: 6(x − 5)

Answer: 6x − 30

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

Answer: −2x − 6

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

Answer: −12x + 16

  1. −4 × 3x = −12x
  2. −4 × −4 = 16
9.Expand: 3(5x + 8)

Answer: 15x + 24

  1. 3 × 5x = 15x
  2. 3 × 8 = 24
10.Expand: −2(6x + 1)

Answer: −12x − 2

  1. −2 × 6x = −12x
  2. −2 × 1 = −2
11.Expand: 1(3x − 7)

Answer: 3x − 7

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

Answer: 9x − 6

  1. 3 × 3x = 9x
  2. 3 × −2 = −6
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