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