Year 9 Expanding Brackets Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 9 algebraic expressions worksheet.
Year 9 Expanding Brackets Worksheet — Level 1 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand: −3(3x + 4)
Answer: −9x − 12
- −3 × 3x = −9x
- −3 × 4 = −12
2.Expand: −3(3x + 8)
Answer: −9x − 24
- −3 × 3x = −9x
- −3 × 8 = −24
3.Expand: −2(6x + 5)
Answer: −12x − 10
- −2 × 6x = −12x
- −2 × 5 = −10
4.Expand: 7(6x − 8)
Answer: 42x − 56
- 7 × 6x = 42x
- 7 × −8 = −56
5.Expand: −3(5x + 6)
Answer: −15x − 18
- −3 × 5x = −15x
- −3 × 6 = −18
6.Expand: 7(4x − 9)
Answer: 28x − 63
- 7 × 4x = 28x
- 7 × −9 = −63
7.Expand: −4(6x + 3)
Answer: −24x − 12
- −4 × 6x = −24x
- −4 × 3 = −12
8.Expand: −5(3x + 3)
Answer: −15x − 15
- −5 × 3x = −15x
- −5 × 3 = −15
9.Expand: −2(6x − 2)
Answer: −12x + 4
- −2 × 6x = −12x
- −2 × −2 = 4
10.Expand: −5(3x + 8)
Answer: −15x − 40
- −5 × 3x = −15x
- −5 × 8 = −40
11.Expand: −1(5x + 7)
Answer: −5x − 7
- −1 × 5x = −5x
- −1 × 7 = −7
12.Expand: 2(2x + 9)
Answer: 4x + 18
- 2 × 2x = 4x
- 2 × 9 = 18
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.