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