Year 9 Expanding Brackets Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 9 algebraic expressions worksheet.
Year 9 Expanding Brackets Worksheet — Level 1 — Practice Set 3 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand: 3(5x − 8)
Answer: 15x − 24
- 3 × 5x = 15x
- 3 × −8 = −24
2.Expand: 1(5x + 1)
Answer: 5x + 1
- 1 × 5x = 5x
- 1 × 1 = 1
3.Expand: 6(3x + 3)
Answer: 18x + 18
- 6 × 3x = 18x
- 6 × 3 = 18
4.Expand: 1(2x − 7)
Answer: 2x − 7
- 1 × 2x = 2x
- 1 × −7 = −7
5.Expand: 2(4x − 6)
Answer: 8x − 12
- 2 × 4x = 8x
- 2 × −6 = −12
6.Expand: 6(4x + 1)
Answer: 24x + 6
- 6 × 4x = 24x
- 6 × 1 = 6
7.Expand: −2(5x − 3)
Answer: −10x + 6
- −2 × 5x = −10x
- −2 × −3 = 6
8.Expand: −3(5x + 3)
Answer: −15x − 9
- −3 × 5x = −15x
- −3 × 3 = −9
9.Expand: 1(3x − 5)
Answer: 3x − 5
- 1 × 3x = 3x
- 1 × −5 = −5
10.Expand: 4(3x − 2)
Answer: 12x − 8
- 4 × 3x = 12x
- 4 × −2 = −8
11.Expand: 5(5x − 8)
Answer: 25x − 40
- 5 × 5x = 25x
- 5 × −8 = −40
12.Expand: 2(2x + 4)
Answer: 4x + 8
- 2 × 2x = 4x
- 2 × 4 = 8
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.