Year 10 Expanding Brackets Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 10 algebraic expressions worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Algebraic ExpressionsYear 10 Expanding Brackets Worksheet — Level 1 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand: −3(4x + 8)
Answer: −12x − 24
- −3 × 4x = −12x
- −3 × 8 = −24
2.Expand: 1(x + 6)
Answer: x + 6
- 1 × x = x
- 1 × 6 = 6
3.Expand: −2(x + 9)
Answer: −2x − 18
- −2 × x = −2x
- −2 × 9 = −18
4.Expand: 7(5x − 2)
Answer: 35x − 14
- 7 × 5x = 35x
- 7 × −2 = −14
5.Expand: 7(6x − 4)
Answer: 42x − 28
- 7 × 6x = 42x
- 7 × −4 = −28
6.Expand: 2(2x − 7)
Answer: 4x − 14
- 2 × 2x = 4x
- 2 × −7 = −14
7.Expand: −1(5x + 5)
Answer: −5x − 5
- −1 × 5x = −5x
- −1 × 5 = −5
8.Expand: 2(4x − 3)
Answer: 8x − 6
- 2 × 4x = 8x
- 2 × −3 = −6
9.Expand: −3(3x + 8)
Answer: −9x − 24
- −3 × 3x = −9x
- −3 × 8 = −24
10.Expand: 1(x − 3)
Answer: x − 3
- 1 × x = x
- 1 × −3 = −3
11.Expand: 3(2x − 8)
Answer: 6x − 24
- 3 × 2x = 6x
- 3 × −8 = −24
12.Expand: 7(5x + 8)
Answer: 35x + 56
- 7 × 5x = 35x
- 7 × 8 = 56
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.