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