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Year 10 Expanding Brackets Worksheet — Level 1 — Practice Set 4 — Answers

Answer sheet with worked solutions for the Year 10 algebraic expressions worksheet.

Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Algebraic Expressions

Year 10 Expanding Brackets Worksheet — Level 1 — Practice Set 4 — Answers

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

1.Expand: 1(6x + 5)

Answer: 6x + 5

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

Answer: −5x + 8

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

Answer: −2x − 7

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

Answer: −20x + 30

  1. −5 × 4x = −20x
  2. −5 × −6 = 30
5.Expand: −5(3x − 6)

Answer: −15x + 30

  1. −5 × 3x = −15x
  2. −5 × −6 = 30
6.Expand: 6(4x + 9)

Answer: 24x + 54

  1. 6 × 4x = 24x
  2. 6 × 9 = 54
7.Expand: 6(3x − 6)

Answer: 18x − 36

  1. 6 × 3x = 18x
  2. 6 × −6 = −36
8.Expand: 2(5x − 7)

Answer: 10x − 14

  1. 2 × 5x = 10x
  2. 2 × −7 = −14
9.Expand: 1(6x − 4)

Answer: 6x − 4

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

Answer: −8x + 12

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

Answer: 30x − 48

  1. 6 × 5x = 30x
  2. 6 × −8 = −48
12.Expand: −2(3x − 5)

Answer: −6x + 10

  1. −2 × 3x = −6x
  2. −2 × −5 = 10
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