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: x + 2x + 7
Answer: 3x + 7
- x + 2x = 3x
2.Simplify: 7x + 9x + 1
Answer: 16x + 1
- 7x + 9x = 16x
3.Simplify: 2x + 8x + 7
Answer: 10x + 7
- 2x + 8x = 10x
4.Simplify: 6x + 9x + 7
Answer: 15x + 7
- 6x + 9x = 15x
5.Simplify: 9x + x + 5
Answer: 10x + 5
- 9x + x = 10x
6.Simplify: −6x + 7x + 5
Answer: x + 5
- −6x + 7x = x
7.Simplify: 5x + 6x + 7
Answer: 11x + 7
- 5x + 6x = 11x
8.Simplify: 9x − 3x + 2
Answer: 6x + 2
- 9x − 3x = 6x
9.Simplify: 8x + 4x + 4
Answer: 12x + 4
- 8x + 4x = 12x
10.Simplify: −x − x + 4
Answer: −2x + 4
- −x − x = −2x
11.Simplify: −6x − 5x + 4
Answer: −11x + 4
- −6x − 5x = −11x
12.Simplify: −2x − 5x + 4
Answer: −7x + 4
- −2x − 5x = −7x
13.Simplify: 8x + x + 6
Answer: 9x + 6
- 8x + x = 9x
14.Simplify: −5x − 2x + 7
Answer: −7x + 7
- −5x − 2x = −7x
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.