Year 11 Expanding Brackets Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 11 algebraic expressions worksheet.
Year 11 Expanding Brackets Worksheet — Level 1 — Practice Set 4 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand: 5(4x − 2)
Answer: 20x − 10
- 5 × 4x = 20x
- 5 × −2 = −10
2.Expand: 1(4x + 8)
Answer: 4x + 8
- 1 × 4x = 4x
- 1 × 8 = 8
3.Expand: 5(x + 2)
Answer: 5x + 10
- 5 × x = 5x
- 5 × 2 = 10
4.Expand: −2(3x + 2)
Answer: −6x − 4
- −2 × 3x = −6x
- −2 × 2 = −4
5.Expand: 1(x + 1)
Answer: x + 1
- 1 × x = x
- 1 × 1 = 1
6.Expand: −1(3x − 2)
Answer: −3x + 2
- −1 × 3x = −3x
- −1 × −2 = 2
7.Expand: −1(2x − 5)
Answer: −2x + 5
- −1 × 2x = −2x
- −1 × −5 = 5
8.Expand: 3(x + 6)
Answer: 3x + 18
- 3 × x = 3x
- 3 × 6 = 18
9.Expand: 4(2x − 2)
Answer: 8x − 8
- 4 × 2x = 8x
- 4 × −2 = −8
10.Expand: 7(x − 4)
Answer: 7x − 28
- 7 × x = 7x
- 7 × −4 = −28
11.Expand: −4(4x + 8)
Answer: −16x − 32
- −4 × 4x = −16x
- −4 × 8 = −32
12.Expand: 6(5x − 2)
Answer: 30x − 12
- 6 × 5x = 30x
- 6 × −2 = −12
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.