Year 10 Expanding Brackets Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 10 algebraic expressions worksheet.
Year 10 Expanding Brackets Worksheet — Level 1 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand: 5(3x + 8)
Answer: 15x + 40
- 5 × 3x = 15x
- 5 × 8 = 40
2.Expand: −5(6x + 4)
Answer: −30x − 20
- −5 × 6x = −30x
- −5 × 4 = −20
3.Expand: 1(x − 1)
Answer: x − 1
- 1 × x = x
- 1 × −1 = −1
4.Expand: −1(x − 8)
Answer: −x + 8
- −1 × x = −x
- −1 × −8 = 8
5.Expand: −3(x − 9)
Answer: −3x + 27
- −3 × x = −3x
- −3 × −9 = 27
6.Expand: 3(4x + 6)
Answer: 12x + 18
- 3 × 4x = 12x
- 3 × 6 = 18
7.Expand: 5(2x − 5)
Answer: 10x − 25
- 5 × 2x = 10x
- 5 × −5 = −25
8.Expand: 5(2x + 9)
Answer: 10x + 45
- 5 × 2x = 10x
- 5 × 9 = 45
9.Expand: 6(3x + 4)
Answer: 18x + 24
- 6 × 3x = 18x
- 6 × 4 = 24
10.Expand: −2(x − 7)
Answer: −2x + 14
- −2 × x = −2x
- −2 × −7 = 14
11.Expand: −4(5x − 9)
Answer: −20x + 36
- −4 × 5x = −20x
- −4 × −9 = 36
12.Expand: 5(3x − 2)
Answer: 15x − 10
- 5 × 3x = 15x
- 5 × −2 = −10
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.