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