Year 9 Expanding Brackets Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 9 algebraic expressions worksheet.
Year 9 Expanding Brackets Worksheet — Level 1 — Practice Set 2 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand: 3(5x + 7)
Answer: 15x + 21
- 3 × 5x = 15x
- 3 × 7 = 21
2.Expand: −4(5x + 7)
Answer: −20x − 28
- −4 × 5x = −20x
- −4 × 7 = −28
3.Expand: 7(5x + 5)
Answer: 35x + 35
- 7 × 5x = 35x
- 7 × 5 = 35
4.Expand: 4(6x − 5)
Answer: 24x − 20
- 4 × 6x = 24x
- 4 × −5 = −20
5.Expand: −3(3x + 3)
Answer: −9x − 9
- −3 × 3x = −9x
- −3 × 3 = −9
6.Expand: 7(6x − 9)
Answer: 42x − 63
- 7 × 6x = 42x
- 7 × −9 = −63
7.Expand: 5(4x − 1)
Answer: 20x − 5
- 5 × 4x = 20x
- 5 × −1 = −5
8.Expand: 6(2x − 9)
Answer: 12x − 54
- 6 × 2x = 12x
- 6 × −9 = −54
9.Expand: 5(6x − 8)
Answer: 30x − 40
- 5 × 6x = 30x
- 5 × −8 = −40
10.Expand: −4(5x − 6)
Answer: −20x + 24
- −4 × 5x = −20x
- −4 × −6 = 24
11.Expand: −1(x + 5)
Answer: −x − 5
- −1 × x = −x
- −1 × 5 = −5
12.Expand: 6(4x − 3)
Answer: 24x − 18
- 6 × 4x = 24x
- 6 × −3 = −18
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.