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Year 8 Expanding Brackets Worksheet — Level 1 — Answers

Answer sheet with worked solutions for the Year 8 algebraic expressions worksheet.

Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Algebraic Expressions

Year 8 Expanding Brackets Worksheet — Level 1 — Answers

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

1.Expand: −3(2x + 7)

Answer: −6x − 21

  1. −3 × 2x = −6x
  2. −3 × 7 = −21
2.Expand: 1(6x + 4)

Answer: 6x + 4

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

Answer: 5x − 10

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

Answer: −15x − 45

  1. −5 × 3x = −15x
  2. −5 × 9 = −45
5.Expand: −2(3x − 7)

Answer: −6x + 14

  1. −2 × 3x = −6x
  2. −2 × −7 = 14
6.Expand: 2(4x − 6)

Answer: 8x − 12

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

Answer: −8x − 8

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

Answer: 21x + 7

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

Answer: 3x − 21

  1. 3 × x = 3x
  2. 3 × −7 = −21
10.Expand: −2(x + 2)

Answer: −2x − 4

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

Answer: −3x − 4

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

Answer: −15x + 12

  1. −3 × 5x = −15x
  2. −3 × −4 = 12
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