Year 10 Expanding Brackets Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 10 algebraic expressions worksheet.
Year 10 Expanding Brackets Worksheet — Level 1 — Practice Set 4 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand: 1(6x + 5)
Answer: 6x + 5
- 1 × 6x = 6x
- 1 × 5 = 5
2.Expand: −1(5x − 8)
Answer: −5x + 8
- −1 × 5x = −5x
- −1 × −8 = 8
3.Expand: −1(2x + 7)
Answer: −2x − 7
- −1 × 2x = −2x
- −1 × 7 = −7
4.Expand: −5(4x − 6)
Answer: −20x + 30
- −5 × 4x = −20x
- −5 × −6 = 30
5.Expand: −5(3x − 6)
Answer: −15x + 30
- −5 × 3x = −15x
- −5 × −6 = 30
6.Expand: 6(4x + 9)
Answer: 24x + 54
- 6 × 4x = 24x
- 6 × 9 = 54
7.Expand: 6(3x − 6)
Answer: 18x − 36
- 6 × 3x = 18x
- 6 × −6 = −36
8.Expand: 2(5x − 7)
Answer: 10x − 14
- 2 × 5x = 10x
- 2 × −7 = −14
9.Expand: 1(6x − 4)
Answer: 6x − 4
- 1 × 6x = 6x
- 1 × −4 = −4
10.Expand: −4(2x − 3)
Answer: −8x + 12
- −4 × 2x = −8x
- −4 × −3 = 12
11.Expand: 6(5x − 8)
Answer: 30x − 48
- 6 × 5x = 30x
- 6 × −8 = −48
12.Expand: −2(3x − 5)
Answer: −6x + 10
- −2 × 3x = −6x
- −2 × −5 = 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.