Year 10 Expanding Brackets Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 10 algebraic expressions worksheet.
Year 10 Expanding Brackets Worksheet — Level 1 — Practice Set 2 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand: 7(3x − 3)
Answer: 21x − 21
- 7 × 3x = 21x
- 7 × −3 = −21
2.Expand: −3(x − 7)
Answer: −3x + 21
- −3 × x = −3x
- −3 × −7 = 21
3.Expand: −3(6x + 5)
Answer: −18x − 15
- −3 × 6x = −18x
- −3 × 5 = −15
4.Expand: −4(5x + 9)
Answer: −20x − 36
- −4 × 5x = −20x
- −4 × 9 = −36
5.Expand: 5(2x + 9)
Answer: 10x + 45
- 5 × 2x = 10x
- 5 × 9 = 45
6.Expand: 4(2x + 1)
Answer: 8x + 4
- 4 × 2x = 8x
- 4 × 1 = 4
7.Expand: −5(3x − 6)
Answer: −15x + 30
- −5 × 3x = −15x
- −5 × −6 = 30
8.Expand: 4(6x − 4)
Answer: 24x − 16
- 4 × 6x = 24x
- 4 × −4 = −16
9.Expand: 1(5x − 6)
Answer: 5x − 6
- 1 × 5x = 5x
- 1 × −6 = −6
10.Expand: −3(4x − 8)
Answer: −12x + 24
- −3 × 4x = −12x
- −3 × −8 = 24
11.Expand: 6(4x − 5)
Answer: 24x − 30
- 6 × 4x = 24x
- 6 × −5 = −30
12.Expand: −5(6x + 6)
Answer: −30x − 30
- −5 × 6x = −30x
- −5 × 6 = −30
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.