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Year 10 Expanding Brackets Worksheet — Level 1 — Practice Set 3 — 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 3 — Answers

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

1.Expand: −5(2x + 4)

Answer: −10x − 20

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

Answer: 2x + 2

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

Answer: −10x + 10

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

Answer: 10x + 35

  1. 5 × 2x = 10x
  2. 5 × 7 = 35
5.Expand: −5(4x + 3)

Answer: −20x − 15

  1. −5 × 4x = −20x
  2. −5 × 3 = −15
6.Expand: 3(2x + 8)

Answer: 6x + 24

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

Answer: 12x + 4

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

Answer: −6x + 3

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

Answer: 20x + 32

  1. 4 × 5x = 20x
  2. 4 × 8 = 32
10.Expand: −4(6x + 9)

Answer: −24x − 36

  1. −4 × 6x = −24x
  2. −4 × 9 = −36
11.Expand: −5(3x − 5)

Answer: −15x + 25

  1. −5 × 3x = −15x
  2. −5 × −5 = 25
12.Expand: 7(5x + 3)

Answer: 35x + 21

  1. 7 × 5x = 35x
  2. 7 × 3 = 21
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