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