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Year 10 Expanding Brackets Worksheet — Level 1 — Practice Set 2 — 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 2 — Answers

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

1.Expand: −1(5x + 7)

Answer: −5x − 7

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

Answer: 18x − 3

  1. 3 × 6x = 18x
  2. 3 × −1 = −3
3.Expand: 5(4x − 8)

Answer: 20x − 40

  1. 5 × 4x = 20x
  2. 5 × −8 = −40
4.Expand: 4(4x − 7)

Answer: 16x − 28

  1. 4 × 4x = 16x
  2. 4 × −7 = −28
5.Expand: −3(3x − 7)

Answer: −9x + 21

  1. −3 × 3x = −9x
  2. −3 × −7 = 21
6.Expand: −2(6x − 1)

Answer: −12x + 2

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

Answer: 12x − 8

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

Answer: −20x − 32

  1. −4 × 5x = −20x
  2. −4 × 8 = −32
9.Expand: −5(x + 5)

Answer: −5x − 25

  1. −5 × x = −5x
  2. −5 × 5 = −25
10.Expand: 7(4x + 9)

Answer: 28x + 63

  1. 7 × 4x = 28x
  2. 7 × 9 = 63
11.Expand: 1(5x + 2)

Answer: 5x + 2

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

Answer: −5x − 35

  1. −5 × x = −5x
  2. −5 × 7 = −35
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