Year 9 Expanding Brackets Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 9 algebraic expressions worksheet.
Year 9 Expanding Brackets Worksheet — Level 1 — Practice Set 3 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand: 2(x + 4)
Answer: 2x + 8
- 2 × x = 2x
- 2 × 4 = 8
2.Expand: −4(x + 1)
Answer: −4x − 4
- −4 × x = −4x
- −4 × 1 = −4
3.Expand: 3(2x − 8)
Answer: 6x − 24
- 3 × 2x = 6x
- 3 × −8 = −24
4.Expand: −2(3x − 7)
Answer: −6x + 14
- −2 × 3x = −6x
- −2 × −7 = 14
5.Expand: −1(6x − 6)
Answer: −6x + 6
- −1 × 6x = −6x
- −1 × −6 = 6
6.Expand: 3(4x + 1)
Answer: 12x + 3
- 3 × 4x = 12x
- 3 × 1 = 3
7.Expand: 4(5x + 5)
Answer: 20x + 20
- 4 × 5x = 20x
- 4 × 5 = 20
8.Expand: −1(x + 4)
Answer: −x − 4
- −1 × x = −x
- −1 × 4 = −4
9.Expand: −3(6x + 5)
Answer: −18x − 15
- −3 × 6x = −18x
- −3 × 5 = −15
10.Expand: 5(4x + 8)
Answer: 20x + 40
- 5 × 4x = 20x
- 5 × 8 = 40
11.Expand: 1(3x − 8)
Answer: 3x − 8
- 1 × 3x = 3x
- 1 × −8 = −8
12.Expand: 4(2x − 2)
Answer: 8x − 8
- 4 × 2x = 8x
- 4 × −2 = −8
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.