Year 11 Expanding Brackets Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 11 algebraic expressions worksheet.
Year 11 Expanding Brackets Worksheet — Level 1 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand: 5(x − 2)
Answer: 5x − 10
- 5 × x = 5x
- 5 × −2 = −10
2.Expand: 5(x + 5)
Answer: 5x + 25
- 5 × x = 5x
- 5 × 5 = 25
3.Expand: 6(6x − 6)
Answer: 36x − 36
- 6 × 6x = 36x
- 6 × −6 = −36
4.Expand: 3(6x − 9)
Answer: 18x − 27
- 3 × 6x = 18x
- 3 × −9 = −27
5.Expand: 5(3x + 9)
Answer: 15x + 45
- 5 × 3x = 15x
- 5 × 9 = 45
6.Expand: −5(x − 6)
Answer: −5x + 30
- −5 × x = −5x
- −5 × −6 = 30
7.Expand: −4(6x − 5)
Answer: −24x + 20
- −4 × 6x = −24x
- −4 × −5 = 20
8.Expand: −4(5x + 8)
Answer: −20x − 32
- −4 × 5x = −20x
- −4 × 8 = −32
9.Expand: −2(3x + 4)
Answer: −6x − 8
- −2 × 3x = −6x
- −2 × 4 = −8
10.Expand: −2(5x − 5)
Answer: −10x + 10
- −2 × 5x = −10x
- −2 × −5 = 10
11.Expand: −2(4x + 1)
Answer: −8x − 2
- −2 × 4x = −8x
- −2 × 1 = −2
12.Expand: −1(4x + 3)
Answer: −4x − 3
- −1 × 4x = −4x
- −1 × 3 = −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.
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