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Year 11 Expanding Brackets Worksheet — Level 1 — Practice Set 4 — 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 — Practice Set 4 — Answers

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

1.Expand: 5(4x − 2)

Answer: 20x − 10

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

Answer: 4x + 8

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

Answer: 5x + 10

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

Answer: −6x − 4

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

Answer: x + 1

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

Answer: −3x + 2

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

Answer: −2x + 5

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

Answer: 3x + 18

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

Answer: 8x − 8

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

Answer: 7x − 28

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

Answer: −16x − 32

  1. −4 × 4x = −16x
  2. −4 × 8 = −32
12.Expand: 6(5x − 2)

Answer: 30x − 12

  1. 6 × 5x = 30x
  2. 6 × −2 = −12
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