Year 7 Expanding Brackets Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 7 algebraic expressions worksheet.
Year 7 · Mathematics · Algebraic Expressions
Year 7 Expanding Brackets Worksheet — Level 1 — Answers
Success Tutoring
Multiply every term inside the bracket. Then collect like terms.
1.Expand: 7(6x − 2)
Answer: 42x − 14
- 7 × 6x = 42x
- 7 × −2 = −14
2.Expand: −4(6x − 9)
Answer: −24x + 36
- −4 × 6x = −24x
- −4 × −9 = 36
3.Expand: 1(4x − 8)
Answer: 4x − 8
- 1 × 4x = 4x
- 1 × −8 = −8
4.Expand: 5(5x − 6)
Answer: 25x − 30
- 5 × 5x = 25x
- 5 × −6 = −30
5.Expand: 7(x − 4)
Answer: 7x − 28
- 7 × x = 7x
- 7 × −4 = −28
6.Expand: −3(5x + 8)
Answer: −15x − 24
- −3 × 5x = −15x
- −3 × 8 = −24
7.Expand: 7(3x + 3)
Answer: 21x + 21
- 7 × 3x = 21x
- 7 × 3 = 21
8.Expand: −5(6x + 2)
Answer: −30x − 10
- −5 × 6x = −30x
- −5 × 2 = −10
9.Expand: 5(3x − 2)
Answer: 15x − 10
- 5 × 3x = 15x
- 5 × −2 = −10
10.Expand: −2(3x − 5)
Answer: −6x + 10
- −2 × 3x = −6x
- −2 × −5 = 10
11.Expand: 4(6x − 2)
Answer: 24x − 8
- 4 × 6x = 24x
- 4 × −2 = −8
12.Expand: 2(4x − 3)
Answer: 8x − 6
- 2 × 4x = 8x
- 2 × −3 = −6
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.