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Year 9 Expanding Brackets Worksheet — Level 1 — Practice Set 3 — 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 3 — Answers

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

1.Expand: 2(x + 4)

Answer: 2x + 8

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

Answer: −4x − 4

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

Answer: 6x − 24

  1. 3 × 2x = 6x
  2. 3 × −8 = −24
4.Expand: −2(3x − 7)

Answer: −6x + 14

  1. −2 × 3x = −6x
  2. −2 × −7 = 14
5.Expand: −1(6x − 6)

Answer: −6x + 6

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

Answer: 12x + 3

  1. 3 × 4x = 12x
  2. 3 × 1 = 3
7.Expand: 4(5x + 5)

Answer: 20x + 20

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

Answer: −x − 4

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

Answer: −18x − 15

  1. −3 × 6x = −18x
  2. −3 × 5 = −15
10.Expand: 5(4x + 8)

Answer: 20x + 40

  1. 5 × 4x = 20x
  2. 5 × 8 = 40
11.Expand: 1(3x − 8)

Answer: 3x − 8

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

Answer: 8x − 8

  1. 4 × 2x = 8x
  2. 4 × −2 = −8
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