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Year 9 Expanding Brackets Worksheet — Level 1 — Practice Set 4 — Answers

Answer sheet with worked solutions for the Year 9 algebraic expressions worksheet.

Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Algebraic Expressions

Year 9 Expanding Brackets Worksheet — Level 1 — Practice Set 4 — Answers

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

1.Expand: 4(6x − 4)

Answer: 24x − 16

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

Answer: 16x − 4

  1. 4 × 4x = 16x
  2. 4 × −1 = −4
3.Expand: −3(2x − 8)

Answer: −6x + 24

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

Answer: −4x + 32

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

Answer: 5x + 15

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

Answer: −24x − 16

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

Answer: 30x + 5

  1. 5 × 6x = 30x
  2. 5 × 1 = 5
8.Expand: 4(4x + 4)

Answer: 16x + 16

  1. 4 × 4x = 16x
  2. 4 × 4 = 16
9.Expand: 2(4x + 8)

Answer: 8x + 16

  1. 2 × 4x = 8x
  2. 2 × 8 = 16
10.Expand: −4(6x + 2)

Answer: −24x − 8

  1. −4 × 6x = −24x
  2. −4 × 2 = −8
11.Expand: 5(x + 7)

Answer: 5x + 35

  1. 5 × x = 5x
  2. 5 × 7 = 35
12.Expand: 3(2x + 1)

Answer: 6x + 3

  1. 3 × 2x = 6x
  2. 3 × 1 = 3
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