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Year 9 Expanding Brackets Worksheet — Level 1 — Practice Set 4 — 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 — Practice Set 4 — Answers

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

1.Expand: −1(2x + 3)

Answer: −2x − 3

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

Answer: 35x + 7

  1. 7 × 5x = 35x
  2. 7 × 1 = 7
3.Expand: 3(2x − 2)

Answer: 6x − 6

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

Answer: −5x + 35

  1. −5 × x = −5x
  2. −5 × −7 = 35
5.Expand: 4(x + 5)

Answer: 4x + 20

  1. 4 × x = 4x
  2. 4 × 5 = 20
6.Expand: 2(6x + 2)

Answer: 12x + 4

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

Answer: 10x + 8

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

Answer: 6x + 24

  1. 3 × 2x = 6x
  2. 3 × 8 = 24
9.Expand: 5(4x − 9)

Answer: 20x − 45

  1. 5 × 4x = 20x
  2. 5 × −9 = −45
10.Expand: 1(3x + 3)

Answer: 3x + 3

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

Answer: −24x − 4

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

Answer: −20x − 30

  1. −5 × 4x = −20x
  2. −5 × 6 = −30
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