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: 9x − 6x + 3
Answer: 3x + 3
- 9x − 6x = 3x
2.Simplify: 4x + 4x + 6
Answer: 8x + 6
- 4x + 4x = 8x
3.Simplify: 2x − 4x + 4
Answer: −2x + 4
- 2x − 4x = −2x
4.Simplify: 4x − x + 1
Answer: 3x + 1
- 4x − x = 3x
5.Simplify: −6x + 7x + 9
Answer: x + 9
- −6x + 7x = x
6.Simplify: −4x − 4x + 1
Answer: −8x + 1
- −4x − 4x = −8x
7.Simplify: x + 7x + 4
Answer: 8x + 4
- x + 7x = 8x
8.Simplify: −5x − 5x + 6
Answer: −10x + 6
- −5x − 5x = −10x
9.Simplify: −5x − 6x + 3
Answer: −11x + 3
- −5x − 6x = −11x
10.Simplify: −2x − 6x + 3
Answer: −8x + 3
- −2x − 6x = −8x
11.Simplify: 3x + 3x + 3
Answer: 6x + 3
- 3x + 3x = 6x
12.Simplify: 4x − 6x + 1
Answer: −2x + 1
- 4x − 6x = −2x
13.Simplify: 8x + x + 3
Answer: 9x + 3
- 8x + x = 9x
14.Simplify: 3x + 9x + 7
Answer: 12x + 7
- 3x + 9x = 12x
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.