Year 8 Simplifying Expressions (Like Terms) Worksheet — Level 1 — Practice Set 2 — Answers
Answer sheet with worked solutions for the Year 8 algebraic expressions worksheet.
Year 8 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: −3x + 3x + 9
Answer: 9
- −3x + 3x = 0
2.Simplify: −5x + 9x + 3
Answer: 4x + 3
- −5x + 9x = 4x
3.Simplify: −x − 6x + 2
Answer: −7x + 2
- −x − 6x = −7x
4.Simplify: x − 3x + 7
Answer: −2x + 7
- x − 3x = −2x
5.Simplify: −6x + x + 3
Answer: −5x + 3
- −6x + x = −5x
6.Simplify: 3x − 6x + 9
Answer: −3x + 9
- 3x − 6x = −3x
7.Simplify: −4x + x + 5
Answer: −3x + 5
- −4x + x = −3x
8.Simplify: −2x + 7x + 8
Answer: 5x + 8
- −2x + 7x = 5x
9.Simplify: −4x − x + 7
Answer: −5x + 7
- −4x − x = −5x
10.Simplify: 5x − 6x + 7
Answer: −x + 7
- 5x − 6x = −x
11.Simplify: 2x − x + 1
Answer: x + 1
- 2x − x = x
12.Simplify: 3x + 5x + 4
Answer: 8x + 4
- 3x + 5x = 8x
13.Simplify: 3x + 8x + 6
Answer: 11x + 6
- 3x + 8x = 11x
14.Simplify: x + 2x + 3
Answer: 3x + 3
- x + 2x = 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.
- Celebrate what went well first, then pick one thing to work on next.