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