Year 8 Simplifying Expressions (Like Terms) Worksheet — Level 1 — Practice Set 4 — Answers
Answer sheet with worked solutions for the Year 8 algebraic expressions worksheet.
Year 8 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 + 8x + 4
Answer: 6x + 4
- −2x + 8x = 6x
2.Simplify: 4x + 7x + 4
Answer: 11x + 4
- 4x + 7x = 11x
3.Simplify: 6x − 5x + 6
Answer: x + 6
- 6x − 5x = x
4.Simplify: −5x + 9x + 2
Answer: 4x + 2
- −5x + 9x = 4x
5.Simplify: −2x − 4x + 9
Answer: −6x + 9
- −2x − 4x = −6x
6.Simplify: 3x − 5x + 3
Answer: −2x + 3
- 3x − 5x = −2x
7.Simplify: 3x − 5x + 9
Answer: −2x + 9
- 3x − 5x = −2x
8.Simplify: −2x + 2x + 6
Answer: 6
- −2x + 2x = 0
9.Simplify: −5x + 8x + 9
Answer: 3x + 9
- −5x + 8x = 3x
10.Simplify: 9x + 8x + 7
Answer: 17x + 7
- 9x + 8x = 17x
11.Simplify: 9x − 5x + 9
Answer: 4x + 9
- 9x − 5x = 4x
12.Simplify: −x − 2x + 5
Answer: −3x + 5
- −x − 2x = −3x
13.Simplify: 7x + 5x + 6
Answer: 12x + 6
- 7x + 5x = 12x
14.Simplify: −6x + 7x + 8
Answer: x + 8
- −6x + 7x = 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.
- Celebrate what went well first, then pick one thing to work on next.