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: 4(6x − 4)
Answer: 24x − 16
- 4 × 6x = 24x
- 4 × −4 = −16
2.Expand: 4(4x − 1)
Answer: 16x − 4
- 4 × 4x = 16x
- 4 × −1 = −4
3.Expand: −3(2x − 8)
Answer: −6x + 24
- −3 × 2x = −6x
- −3 × −8 = 24
4.Expand: −4(x − 8)
Answer: −4x + 32
- −4 × x = −4x
- −4 × −8 = 32
5.Expand: 5(x + 3)
Answer: 5x + 15
- 5 × x = 5x
- 5 × 3 = 15
6.Expand: −4(6x + 4)
Answer: −24x − 16
- −4 × 6x = −24x
- −4 × 4 = −16
7.Expand: 5(6x + 1)
Answer: 30x + 5
- 5 × 6x = 30x
- 5 × 1 = 5
8.Expand: 4(4x + 4)
Answer: 16x + 16
- 4 × 4x = 16x
- 4 × 4 = 16
9.Expand: 2(4x + 8)
Answer: 8x + 16
- 2 × 4x = 8x
- 2 × 8 = 16
10.Expand: −4(6x + 2)
Answer: −24x − 8
- −4 × 6x = −24x
- −4 × 2 = −8
11.Expand: 5(x + 7)
Answer: 5x + 35
- 5 × x = 5x
- 5 × 7 = 35
12.Expand: 3(2x + 1)
Answer: 6x + 3
- 3 × 2x = 6x
- 3 × 1 = 3
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.