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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: 7(3x − 3)

Answer: 21x − 21

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

Answer: −3x + 21

  1. −3 × x = −3x
  2. −3 × −7 = 21
3.Expand: −3(6x + 5)

Answer: −18x − 15

  1. −3 × 6x = −18x
  2. −3 × 5 = −15
4.Expand: −4(5x + 9)

Answer: −20x − 36

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

Answer: 10x + 45

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

Answer: 8x + 4

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

Answer: −15x + 30

  1. −5 × 3x = −15x
  2. −5 × −6 = 30
8.Expand: 4(6x − 4)

Answer: 24x − 16

  1. 4 × 6x = 24x
  2. 4 × −4 = −16
9.Expand: 1(5x − 6)

Answer: 5x − 6

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

Answer: −12x + 24

  1. −3 × 4x = −12x
  2. −3 × −8 = 24
11.Expand: 6(4x − 5)

Answer: 24x − 30

  1. 6 × 4x = 24x
  2. 6 × −5 = −30
12.Expand: −5(6x + 6)

Answer: −30x − 30

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