Year 11 Expanding Brackets Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 11 algebraic expressions worksheet.
Year 11 Expanding Brackets Worksheet — Level 1 — Practice Set 2 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand: 1(5x − 6)
Answer: 5x − 6
- 1 × 5x = 5x
- 1 × −6 = −6
2.Expand: −4(4x + 5)
Answer: −16x − 20
- −4 × 4x = −16x
- −4 × 5 = −20
3.Expand: 5(5x − 7)
Answer: 25x − 35
- 5 × 5x = 25x
- 5 × −7 = −35
4.Expand: −3(2x − 3)
Answer: −6x + 9
- −3 × 2x = −6x
- −3 × −3 = 9
5.Expand: 7(6x + 8)
Answer: 42x + 56
- 7 × 6x = 42x
- 7 × 8 = 56
6.Expand: −1(3x + 7)
Answer: −3x − 7
- −1 × 3x = −3x
- −1 × 7 = −7
7.Expand: −3(6x − 8)
Answer: −18x + 24
- −3 × 6x = −18x
- −3 × −8 = 24
8.Expand: −1(4x + 8)
Answer: −4x − 8
- −1 × 4x = −4x
- −1 × 8 = −8
9.Expand: 7(x − 7)
Answer: 7x − 49
- 7 × x = 7x
- 7 × −7 = −49
10.Expand: 6(6x + 9)
Answer: 36x + 54
- 6 × 6x = 36x
- 6 × 9 = 54
11.Expand: 2(3x + 7)
Answer: 6x + 14
- 2 × 3x = 6x
- 2 × 7 = 14
12.Expand: 7(5x − 1)
Answer: 35x − 7
- 7 × 5x = 35x
- 7 × −1 = −7
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.