Success TutoringWorksheets

Year 8 Expanding Brackets Worksheet — Level 1 — Answers

Answer sheet with worked solutions for the Year 8 algebraic expressions worksheet.

Download answers PDFPrint answersBack to worksheet

Year 8 · Mathematics · Algebraic Expressions

Year 8 Expanding Brackets Worksheet — Level 1 — Answers

Success Tutoring

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

1.Expand: −2(6x − 1)

Answer: −12x + 2

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

Answer: 4x + 16

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

Answer: 6x − 2

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

Answer: −2x + 7

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

Answer: 20x − 30

  1. 5 × 4x = 20x
  2. 5 × −6 = −30
6.Expand: −2(3x − 3)

Answer: −6x + 6

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

Answer: −24x − 32

  1. −4 × 6x = −24x
  2. −4 × 8 = −32
8.Expand: 4(5x + 2)

Answer: 20x + 8

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

Answer: 30x − 40

  1. 5 × 6x = 30x
  2. 5 × −8 = −40
10.Expand: 4(6x − 3)

Answer: 24x − 12

  1. 4 × 6x = 24x
  2. 4 × −3 = −12
11.Expand: −4(3x + 9)

Answer: −12x − 36

  1. −4 × 3x = −12x
  2. −4 × 9 = −36
12.Expand: 4(x + 4)

Answer: 4x + 16

  1. 4 × x = 4x
  2. 4 × 4 = 16
worksheets.successtutoring.com · Free to print and share for personal and classroom use

Marking tips

  • Give credit for correct method even when the final answer slips — the working shows where the thinking went right.
  • For open-ended tasks, use the success criteria as a checklist rather than looking for one "right" answer.
  • Celebrate what went well first, then pick one thing to work on next.

Great work. Here's what to try next: