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Year 10 Expanding Brackets Worksheet — Level 1 — Practice Set 4 — 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 4 — Answers

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

1.Expand: 7(3x + 4)

Answer: 21x + 28

  1. 7 × 3x = 21x
  2. 7 × 4 = 28
2.Expand: 2(5x + 6)

Answer: 10x + 12

  1. 2 × 5x = 10x
  2. 2 × 6 = 12
3.Expand: 4(2x + 7)

Answer: 8x + 28

  1. 4 × 2x = 8x
  2. 4 × 7 = 28
4.Expand: 3(2x + 2)

Answer: 6x + 6

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

Answer: −10x + 14

  1. −2 × 5x = −10x
  2. −2 × −7 = 14
6.Expand: 2(5x + 2)

Answer: 10x + 4

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

Answer: 12x − 15

  1. 3 × 4x = 12x
  2. 3 × −5 = −15
8.Expand: −2(x − 1)

Answer: −2x + 2

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

Answer: −10x − 45

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

Answer: −16x + 8

  1. −4 × 4x = −16x
  2. −4 × −2 = 8
11.Expand: −4(5x + 2)

Answer: −20x − 8

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

Answer: 4x − 16

  1. 2 × 2x = 4x
  2. 2 × −8 = −16
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