Year 9 Simplifying Expressions (Like Terms) Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the Year 9 algebraic expressions worksheet.
Year 9 · Mathematics · Algebraic Expressions
Year 9 Simplifying Expressions (Like Terms) Worksheet — Level 2 — Answers
Success Tutoring
Collect the like terms. Only terms with exactly the same letter and power can be added.
1.Simplify: 7x + 3x + 6x − 6x
Answer: 13x − 3x
- x terms: 7x + 6x = 13x
- x terms: 3x − 6x = −3x
2.Simplify: −x + 5x + 6x + 6x
Answer: 5x + 11x
- x terms: −x + 6x = 5x
- x terms: 5x + 6x = 11x
3.Simplify: 7x + 6x + x + 9x
Answer: 8x + 15x
- x terms: 7x + x = 8x
- x terms: 6x + 9x = 15x
4.Simplify: 2x + 9x − 6x + 8x
Answer: −4x + 17x
- x terms: 2x − 6x = −4x
- x terms: 9x + 8x = 17x
5.Simplify: −3x − 6x + 6x + x
Answer: 3x − 5x
- x terms: −3x + 6x = 3x
- x terms: −6x + x = −5x
6.Simplify: −5x + 7x + x + 6x
Answer: −4x + 13x
- x terms: −5x + x = −4x
- x terms: 7x + 6x = 13x
7.Simplify: −5x + 5x + 6x + 4x
Answer: x + 9x
- x terms: −5x + 6x = x
- x terms: 5x + 4x = 9x
8.Simplify: 7x − 6x − 4x + 3x
Answer: 3x − 3x
- x terms: 7x − 4x = 3x
- x terms: −6x + 3x = −3x
9.Simplify: 6x − x − x + 4x
Answer: 5x + 3x
- x terms: 6x − x = 5x
- x terms: −x + 4x = 3x
10.Simplify: 4x + 6x + 3x + 8x
Answer: 7x + 14x
- x terms: 4x + 3x = 7x
- x terms: 6x + 8x = 14x
11.Simplify: −4x + x + 2x − 4x
Answer: −2x − 3x
- x terms: −4x + 2x = −2x
- x terms: x − 4x = −3x
12.Simplify: 6x − 6x + 9x + 5x
Answer: 15x − x
- x terms: 6x + 9x = 15x
- x terms: −6x + 5x = −x
13.Simplify: −x − 6x − 3x − 5x
Answer: −4x − 11x
- x terms: −x − 3x = −4x
- x terms: −6x − 5x = −11x
14.Simplify: 7x − 6x − 5x − x
Answer: 2x − 7x
- x terms: 7x − 5x = 2x
- x terms: −6x − x = −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.
Great work. Here's what to try next: