Year 10 Simplifying Expressions (Like Terms) Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 10 algebraic expressions worksheet.
Year 10 Simplifying Expressions (Like Terms) Worksheet — Level 1 — Practice Set 3 — Answers
Collect the like terms. Only terms with exactly the same letter and power can be added.
1.Simplify: −5x + 4x + 6
Answer: −x + 6
- −5x + 4x = −x
2.Simplify: 4x − x + 6
Answer: 3x + 6
- 4x − x = 3x
3.Simplify: −2x + 7x + 2
Answer: 5x + 2
- −2x + 7x = 5x
4.Simplify: −x − 5x + 2
Answer: −6x + 2
- −x − 5x = −6x
5.Simplify: 3x + 5x + 7
Answer: 8x + 7
- 3x + 5x = 8x
6.Simplify: 4x − 6x + 4
Answer: −2x + 4
- 4x − 6x = −2x
7.Simplify: 5x − 6x + 1
Answer: −x + 1
- 5x − 6x = −x
8.Simplify: 2x + 3x + 2
Answer: 5x + 2
- 2x + 3x = 5x
9.Simplify: 6x + 6x + 2
Answer: 12x + 2
- 6x + 6x = 12x
10.Simplify: −4x − 6x + 7
Answer: −10x + 7
- −4x − 6x = −10x
11.Simplify: 9x + 6x + 1
Answer: 15x + 1
- 9x + 6x = 15x
12.Simplify: 2x + x + 7
Answer: 3x + 7
- 2x + x = 3x
13.Simplify: −x + x + 1
Answer: 1
- −x + x = 0
14.Simplify: −6x + 5x + 6
Answer: −x + 6
- −6x + 5x = −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.