Year 10 Expanding Brackets Worksheet — Level 1 — Practice Set 3 — 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 — Practice Set 3 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand: 5(3x + 2)
Answer: 15x + 10
- 5 × 3x = 15x
- 5 × 2 = 10
2.Expand: 7(6x − 6)
Answer: 42x − 42
- 7 × 6x = 42x
- 7 × −6 = −42
3.Expand: −2(3x − 9)
Answer: −6x + 18
- −2 × 3x = −6x
- −2 × −9 = 18
4.Expand: 2(2x − 5)
Answer: 4x − 10
- 2 × 2x = 4x
- 2 × −5 = −10
5.Expand: 5(2x + 1)
Answer: 10x + 5
- 5 × 2x = 10x
- 5 × 1 = 5
6.Expand: −4(3x − 5)
Answer: −12x + 20
- −4 × 3x = −12x
- −4 × −5 = 20
7.Expand: −5(4x − 6)
Answer: −20x + 30
- −5 × 4x = −20x
- −5 × −6 = 30
8.Expand: 4(x − 6)
Answer: 4x − 24
- 4 × x = 4x
- 4 × −6 = −24
9.Expand: 7(x + 1)
Answer: 7x + 7
- 7 × x = 7x
- 7 × 1 = 7
10.Expand: 5(3x − 1)
Answer: 15x − 5
- 5 × 3x = 15x
- 5 × −1 = −5
11.Expand: −1(4x − 6)
Answer: −4x + 6
- −1 × 4x = −4x
- −1 × −6 = 6
12.Expand: 1(6x − 9)
Answer: 6x − 9
- 1 × 6x = 6x
- 1 × −9 = −9
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.