Year 10 Expanding Brackets Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 10 algebraic expressions worksheet.
Year 10 Expanding Brackets Worksheet — Level 1 — Practice Set 3 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand: −5(2x + 4)
Answer: −10x − 20
- −5 × 2x = −10x
- −5 × 4 = −20
2.Expand: 2(x + 1)
Answer: 2x + 2
- 2 × x = 2x
- 2 × 1 = 2
3.Expand: −5(2x − 2)
Answer: −10x + 10
- −5 × 2x = −10x
- −5 × −2 = 10
4.Expand: 5(2x + 7)
Answer: 10x + 35
- 5 × 2x = 10x
- 5 × 7 = 35
5.Expand: −5(4x + 3)
Answer: −20x − 15
- −5 × 4x = −20x
- −5 × 3 = −15
6.Expand: 3(2x + 8)
Answer: 6x + 24
- 3 × 2x = 6x
- 3 × 8 = 24
7.Expand: 2(6x + 2)
Answer: 12x + 4
- 2 × 6x = 12x
- 2 × 2 = 4
8.Expand: −3(2x − 1)
Answer: −6x + 3
- −3 × 2x = −6x
- −3 × −1 = 3
9.Expand: 4(5x + 8)
Answer: 20x + 32
- 4 × 5x = 20x
- 4 × 8 = 32
10.Expand: −4(6x + 9)
Answer: −24x − 36
- −4 × 6x = −24x
- −4 × 9 = −36
11.Expand: −5(3x − 5)
Answer: −15x + 25
- −5 × 3x = −15x
- −5 × −5 = 25
12.Expand: 7(5x + 3)
Answer: 35x + 21
- 7 × 5x = 35x
- 7 × 3 = 21
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.