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: 4(6x + 6)
Answer: 24x + 24
- 4 × 6x = 24x
- 4 × 6 = 24
2.Expand: 5(4x − 3)
Answer: 20x − 15
- 5 × 4x = 20x
- 5 × −3 = −15
3.Expand: 5(3x − 2)
Answer: 15x − 10
- 5 × 3x = 15x
- 5 × −2 = −10
4.Expand: 2(6x + 9)
Answer: 12x + 18
- 2 × 6x = 12x
- 2 × 9 = 18
5.Expand: −4(x + 8)
Answer: −4x − 32
- −4 × x = −4x
- −4 × 8 = −32
6.Expand: 6(x − 5)
Answer: 6x − 30
- 6 × x = 6x
- 6 × −5 = −30
7.Expand: −2(x + 3)
Answer: −2x − 6
- −2 × x = −2x
- −2 × 3 = −6
8.Expand: −4(3x − 4)
Answer: −12x + 16
- −4 × 3x = −12x
- −4 × −4 = 16
9.Expand: 3(5x + 8)
Answer: 15x + 24
- 3 × 5x = 15x
- 3 × 8 = 24
10.Expand: −2(6x + 1)
Answer: −12x − 2
- −2 × 6x = −12x
- −2 × 1 = −2
11.Expand: 1(3x − 7)
Answer: 3x − 7
- 1 × 3x = 3x
- 1 × −7 = −7
12.Expand: 3(3x − 2)
Answer: 9x − 6
- 3 × 3x = 9x
- 3 × −2 = −6
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.