Year 9 Expanding Brackets Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 9 algebraic expressions worksheet.
Year 9 Expanding Brackets Worksheet — Level 1 — Practice Set 2 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand: 1(2x + 2)
Answer: 2x + 2
- 1 × 2x = 2x
- 1 × 2 = 2
2.Expand: −3(2x + 6)
Answer: −6x − 18
- −3 × 2x = −6x
- −3 × 6 = −18
3.Expand: 4(x + 4)
Answer: 4x + 16
- 4 × x = 4x
- 4 × 4 = 16
4.Expand: −5(2x − 2)
Answer: −10x + 10
- −5 × 2x = −10x
- −5 × −2 = 10
5.Expand: 5(5x − 4)
Answer: 25x − 20
- 5 × 5x = 25x
- 5 × −4 = −20
6.Expand: −4(x + 4)
Answer: −4x − 16
- −4 × x = −4x
- −4 × 4 = −16
7.Expand: 7(x + 9)
Answer: 7x + 63
- 7 × x = 7x
- 7 × 9 = 63
8.Expand: 1(4x − 6)
Answer: 4x − 6
- 1 × 4x = 4x
- 1 × −6 = −6
9.Expand: −2(6x − 8)
Answer: −12x + 16
- −2 × 6x = −12x
- −2 × −8 = 16
10.Expand: −2(6x − 5)
Answer: −12x + 10
- −2 × 6x = −12x
- −2 × −5 = 10
11.Expand: −2(5x + 5)
Answer: −10x − 10
- −2 × 5x = −10x
- −2 × 5 = −10
12.Expand: 5(5x − 7)
Answer: 25x − 35
- 5 × 5x = 25x
- 5 × −7 = −35
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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