Year 8 Simplifying Expressions (Like Terms) Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 8 algebraic expressions worksheet.
Success TutoringWorksheetsAnswer sheetYear 8 · Mathematics · Algebraic ExpressionsYear 8 Simplifying Expressions (Like Terms) Worksheet — Level 2 — Practice Set 3 — Answers
Collect the like terms. Only terms with exactly the same letter and power can be added.
1.Simplify: −5x + 5x + 3x + 6x
Answer: −2x + 11x
- x terms: −5x + 3x = −2x
- x terms: 5x + 6x = 11x
2.Simplify: −6x − 4x + 7x + 4x
Answer: x
- x terms: −6x + 7x = x
- x terms: −4x + 4x = 0
3.Simplify: 6x + 2x + 5x − 4x
Answer: 11x − 2x
- x terms: 6x + 5x = 11x
- x terms: 2x − 4x = −2x
4.Simplify: 8x − 6x + 4x + 9x
Answer: 12x + 3x
- x terms: 8x + 4x = 12x
- x terms: −6x + 9x = 3x
5.Simplify: −6x − 5x − x + 7x
Answer: −7x + 2x
- x terms: −6x − x = −7x
- x terms: −5x + 7x = 2x
6.Simplify: −x + x + 2x − 2x
Answer: x − x
- x terms: −x + 2x = x
- x terms: x − 2x = −x
7.Simplify: 6x − x + 6x − x
Answer: 12x − 2x
- x terms: 6x + 6x = 12x
- x terms: −x − x = −2x
8.Simplify: −6x + 3x − 2x − 5x
Answer: −8x − 2x
- x terms: −6x − 2x = −8x
- x terms: 3x − 5x = −2x
9.Simplify: 8x − x − 3x + 4x
Answer: 5x + 3x
- x terms: 8x − 3x = 5x
- x terms: −x + 4x = 3x
10.Simplify: −6x + 3x + 6x + 8x
Answer: 11x
- x terms: −6x + 6x = 0
- x terms: 3x + 8x = 11x
11.Simplify: 5x + 8x − x + 4x
Answer: 4x + 12x
- x terms: 5x − x = 4x
- x terms: 8x + 4x = 12x
12.Simplify: 5x + 3x + 2x + 6x
Answer: 7x + 9x
- x terms: 5x + 2x = 7x
- x terms: 3x + 6x = 9x
13.Simplify: 4x − 3x + 2x + 7x
Answer: 6x + 4x
- x terms: 4x + 2x = 6x
- x terms: −3x + 7x = 4x
14.Simplify: 6x + x − 3x − 5x
Answer: 3x − 4x
- x terms: 6x − 3x = 3x
- x terms: x − 5x = −4x
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