Year 9 Expanding Brackets Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 9 algebraic expressions worksheet.
Year 9 Expanding Brackets Worksheet — Level 1 — Practice Set 4 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand: −1(2x + 3)
Answer: −2x − 3
- −1 × 2x = −2x
- −1 × 3 = −3
2.Expand: 7(5x + 1)
Answer: 35x + 7
- 7 × 5x = 35x
- 7 × 1 = 7
3.Expand: 3(2x − 2)
Answer: 6x − 6
- 3 × 2x = 6x
- 3 × −2 = −6
4.Expand: −5(x − 7)
Answer: −5x + 35
- −5 × x = −5x
- −5 × −7 = 35
5.Expand: 4(x + 5)
Answer: 4x + 20
- 4 × x = 4x
- 4 × 5 = 20
6.Expand: 2(6x + 2)
Answer: 12x + 4
- 2 × 6x = 12x
- 2 × 2 = 4
7.Expand: 2(5x + 4)
Answer: 10x + 8
- 2 × 5x = 10x
- 2 × 4 = 8
8.Expand: 3(2x + 8)
Answer: 6x + 24
- 3 × 2x = 6x
- 3 × 8 = 24
9.Expand: 5(4x − 9)
Answer: 20x − 45
- 5 × 4x = 20x
- 5 × −9 = −45
10.Expand: 1(3x + 3)
Answer: 3x + 3
- 1 × 3x = 3x
- 1 × 3 = 3
11.Expand: −4(6x + 1)
Answer: −24x − 4
- −4 × 6x = −24x
- −4 × 1 = −4
12.Expand: −5(4x + 6)
Answer: −20x − 30
- −5 × 4x = −20x
- −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.