Year 8 Simplifying Expressions (Like Terms) Worksheet — Level 1 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 8 algebraic expressions worksheet.
Year 8 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: −2x − 3x + 1
Answer: −5x + 1
- −2x − 3x = −5x
2.Simplify: 5x + 7x + 5
Answer: 12x + 5
- 5x + 7x = 12x
3.Simplify: −6x − 6x + 3
Answer: −12x + 3
- −6x − 6x = −12x
4.Simplify: 7x − 3x + 4
Answer: 4x + 4
- 7x − 3x = 4x
5.Simplify: −6x + 4x + 9
Answer: −2x + 9
- −6x + 4x = −2x
6.Simplify: 9x + 6x + 6
Answer: 15x + 6
- 9x + 6x = 15x
7.Simplify: 3x − 3x + 3
Answer: 3
- 3x − 3x = 0
8.Simplify: 3x − 6x + 4
Answer: −3x + 4
- 3x − 6x = −3x
9.Simplify: 5x + 5x + 2
Answer: 10x + 2
- 5x + 5x = 10x
10.Simplify: 3x + x + 4
Answer: 4x + 4
- 3x + x = 4x
11.Simplify: −3x + 7x + 9
Answer: 4x + 9
- −3x + 7x = 4x
12.Simplify: 4x − 2x + 7
Answer: 2x + 7
- 4x − 2x = 2x
13.Simplify: −x + 9x + 6
Answer: 8x + 6
- −x + 9x = 8x
14.Simplify: 8x + 4x + 5
Answer: 12x + 5
- 8x + 4x = 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.