Year 9 Simplifying Expressions (Like Terms) Worksheet — Level 2 — Practice Set 2 — 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 2 — Answers
Collect the like terms. Only terms with exactly the same letter and power can be added.
1.Simplify: 7x + 6x − 3x − 6x
Answer: 4x
- x terms: 7x − 3x = 4x
- x terms: 6x − 6x = 0
2.Simplify: 3x + x − 6x + 3x
Answer: −3x + 4x
- x terms: 3x − 6x = −3x
- x terms: x + 3x = 4x
3.Simplify: 5x − 2x + 8x + 6x
Answer: 13x + 4x
- x terms: 5x + 8x = 13x
- x terms: −2x + 6x = 4x
4.Simplify: 9x − 4x + 4x − 2x
Answer: 13x − 6x
- x terms: 9x + 4x = 13x
- x terms: −4x − 2x = −6x
5.Simplify: −x − 5x + 5x + 5x
Answer: 4x
- x terms: −x + 5x = 4x
- x terms: −5x + 5x = 0
6.Simplify: −x − 5x − x + 9x
Answer: −2x + 4x
- x terms: −x − x = −2x
- x terms: −5x + 9x = 4x
7.Simplify: −4x + 3x − 6x − 5x
Answer: −10x − 2x
- x terms: −4x − 6x = −10x
- x terms: 3x − 5x = −2x
8.Simplify: 8x + 7x + 9x + 5x
Answer: 17x + 12x
- x terms: 8x + 9x = 17x
- x terms: 7x + 5x = 12x
9.Simplify: −4x − 5x + 6x + 7x
Answer: 2x + 2x
- x terms: −4x + 6x = 2x
- x terms: −5x + 7x = 2x
10.Simplify: x + 9x + 5x + x
Answer: 6x + 10x
- x terms: x + 5x = 6x
- x terms: 9x + x = 10x
11.Simplify: 2x − 4x − x + 7x
Answer: x + 3x
- x terms: 2x − x = x
- x terms: −4x + 7x = 3x
12.Simplify: 4x + 8x + 4x − 3x
Answer: 8x + 5x
- x terms: 4x + 4x = 8x
- x terms: 8x − 3x = 5x
13.Simplify: 9x + 4x − 3x + 9x
Answer: 6x + 13x
- x terms: 9x − 3x = 6x
- x terms: 4x + 9x = 13x
14.Simplify: 9x + 7x + 7x − 6x
Answer: 16x + x
- x terms: 9x + 7x = 16x
- x terms: 7x − 6x = x
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