Year 10 Expanding Brackets Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 10 algebraic expressions worksheet.
Year 10 Expanding Brackets Worksheet — Level 1 — Practice Set 4 — Answers
Multiply every term inside the bracket. Then collect like terms.
1.Expand: 7(3x + 4)
Answer: 21x + 28
- 7 × 3x = 21x
- 7 × 4 = 28
2.Expand: 2(5x + 6)
Answer: 10x + 12
- 2 × 5x = 10x
- 2 × 6 = 12
3.Expand: 4(2x + 7)
Answer: 8x + 28
- 4 × 2x = 8x
- 4 × 7 = 28
4.Expand: 3(2x + 2)
Answer: 6x + 6
- 3 × 2x = 6x
- 3 × 2 = 6
5.Expand: −2(5x − 7)
Answer: −10x + 14
- −2 × 5x = −10x
- −2 × −7 = 14
6.Expand: 2(5x + 2)
Answer: 10x + 4
- 2 × 5x = 10x
- 2 × 2 = 4
7.Expand: 3(4x − 5)
Answer: 12x − 15
- 3 × 4x = 12x
- 3 × −5 = −15
8.Expand: −2(x − 1)
Answer: −2x + 2
- −2 × x = −2x
- −2 × −1 = 2
9.Expand: −5(2x + 9)
Answer: −10x − 45
- −5 × 2x = −10x
- −5 × 9 = −45
10.Expand: −4(4x − 2)
Answer: −16x + 8
- −4 × 4x = −16x
- −4 × −2 = 8
11.Expand: −4(5x + 2)
Answer: −20x − 8
- −4 × 5x = −20x
- −4 × 2 = −8
12.Expand: 2(2x − 8)
Answer: 4x − 16
- 2 × 2x = 4x
- 2 × −8 = −16
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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