Year 10 Simplifying Expressions (Like Terms) Worksheet — Level 1 — Answers
Answer sheet with worked solutions for the Year 10 algebraic expressions worksheet.
Year 10 Simplifying Expressions (Like Terms) Worksheet — Level 1 — Answers
Collect the like terms. Only terms with exactly the same letter and power can be added.
1.Simplify: 2x + 3x + 1
Answer: 5x + 1
- 2x + 3x = 5x
2.Simplify: x − 6x + 4
Answer: −5x + 4
- x − 6x = −5x
3.Simplify: 2x − x + 1
Answer: x + 1
- 2x − x = x
4.Simplify: 9x + 4x + 5
Answer: 13x + 5
- 9x + 4x = 13x
5.Simplify: −5x + 9x + 2
Answer: 4x + 2
- −5x + 9x = 4x
6.Simplify: 6x + 3x + 9
Answer: 9x + 9
- 6x + 3x = 9x
7.Simplify: −6x + x + 6
Answer: −5x + 6
- −6x + x = −5x
8.Simplify: 8x − 6x + 5
Answer: 2x + 5
- 8x − 6x = 2x
9.Simplify: −6x − 3x + 5
Answer: −9x + 5
- −6x − 3x = −9x
10.Simplify: 3x + 8x + 7
Answer: 11x + 7
- 3x + 8x = 11x
11.Simplify: 4x − x + 2
Answer: 3x + 2
- 4x − x = 3x
12.Simplify: −x − 4x + 9
Answer: −5x + 9
- −x − 4x = −5x
13.Simplify: −2x − 6x + 7
Answer: −8x + 7
- −2x − 6x = −8x
14.Simplify: −x + 2x + 7
Answer: x + 7
- −x + 2x = x
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.