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Year 10 Expanding Brackets Worksheet — Level 1 — 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 — Answers

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

1.Expand: 5(3x + 8)

Answer: 15x + 40

  1. 5 × 3x = 15x
  2. 5 × 8 = 40
2.Expand: −5(6x + 4)

Answer: −30x − 20

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

Answer: x − 1

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

Answer: −x + 8

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

Answer: −3x + 27

  1. −3 × x = −3x
  2. −3 × −9 = 27
6.Expand: 3(4x + 6)

Answer: 12x + 18

  1. 3 × 4x = 12x
  2. 3 × 6 = 18
7.Expand: 5(2x − 5)

Answer: 10x − 25

  1. 5 × 2x = 10x
  2. 5 × −5 = −25
8.Expand: 5(2x + 9)

Answer: 10x + 45

  1. 5 × 2x = 10x
  2. 5 × 9 = 45
9.Expand: 6(3x + 4)

Answer: 18x + 24

  1. 6 × 3x = 18x
  2. 6 × 4 = 24
10.Expand: −2(x − 7)

Answer: −2x + 14

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

Answer: −20x + 36

  1. −4 × 5x = −20x
  2. −4 × −9 = 36
12.Expand: 5(3x − 2)

Answer: 15x − 10

  1. 5 × 3x = 15x
  2. 5 × −2 = −10
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