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Year 11 Expanding Brackets Worksheet — Level 1 — Answers

Answer sheet with worked solutions for the Year 11 algebraic expressions worksheet.

Success TutoringWorksheetsAnswer sheetYear 11 · Mathematics · Algebraic Expressions

Year 11 Expanding Brackets Worksheet — Level 1 — Answers

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

1.Expand: 5(x − 2)

Answer: 5x − 10

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

Answer: 5x + 25

  1. 5 × x = 5x
  2. 5 × 5 = 25
3.Expand: 6(6x − 6)

Answer: 36x − 36

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

Answer: 18x − 27

  1. 3 × 6x = 18x
  2. 3 × −9 = −27
5.Expand: 5(3x + 9)

Answer: 15x + 45

  1. 5 × 3x = 15x
  2. 5 × 9 = 45
6.Expand: −5(x − 6)

Answer: −5x + 30

  1. −5 × x = −5x
  2. −5 × −6 = 30
7.Expand: −4(6x − 5)

Answer: −24x + 20

  1. −4 × 6x = −24x
  2. −4 × −5 = 20
8.Expand: −4(5x + 8)

Answer: −20x − 32

  1. −4 × 5x = −20x
  2. −4 × 8 = −32
9.Expand: −2(3x + 4)

Answer: −6x − 8

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

Answer: −10x + 10

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

Answer: −8x − 2

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

Answer: −4x − 3

  1. −1 × 4x = −4x
  2. −1 × 3 = −3
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