Success TutoringWorksheets

Year 9 Expanding Brackets Worksheet — Level 1 — Practice Set 2 — 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 2 — Answers

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

1.Expand: 3(5x + 7)

Answer: 15x + 21

  1. 3 × 5x = 15x
  2. 3 × 7 = 21
2.Expand: −4(5x + 7)

Answer: −20x − 28

  1. −4 × 5x = −20x
  2. −4 × 7 = −28
3.Expand: 7(5x + 5)

Answer: 35x + 35

  1. 7 × 5x = 35x
  2. 7 × 5 = 35
4.Expand: 4(6x − 5)

Answer: 24x − 20

  1. 4 × 6x = 24x
  2. 4 × −5 = −20
5.Expand: −3(3x + 3)

Answer: −9x − 9

  1. −3 × 3x = −9x
  2. −3 × 3 = −9
6.Expand: 7(6x − 9)

Answer: 42x − 63

  1. 7 × 6x = 42x
  2. 7 × −9 = −63
7.Expand: 5(4x − 1)

Answer: 20x − 5

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

Answer: 12x − 54

  1. 6 × 2x = 12x
  2. 6 × −9 = −54
9.Expand: 5(6x − 8)

Answer: 30x − 40

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

Answer: −20x + 24

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

Answer: −x − 5

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

Answer: 24x − 18

  1. 6 × 4x = 24x
  2. 6 × −3 = −18
Free worksheets at worksheets.successtutoring.com · © Success Tutoring · Free 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.