8th Grade Simplifying Expressions (Like Terms) Worksheet — Level 2 — Answers
Answer sheet with worked solutions for the 8th Grade algebraic expressions worksheet.
Success TutoringWorksheetsAnswer sheet8th Grade · Mathematics · Algebraic Expressions8th Grade Simplifying Expressions (Like Terms) Worksheet — Level 2 — Answers
Collect the like terms. Only terms with exactly the same letter and power can be added.
1.Simplify: 6x + 5x + 5x + 9x
Answer: 11x + 14x
- x terms: 6x + 5x = 11x
- x terms: 5x + 9x = 14x
2.Simplify: 2x + 8x − 2x + 9x
Answer: 17x
- x terms: 2x − 2x = 0
- x terms: 8x + 9x = 17x
3.Simplify: 5x + x − 5x − 3x
Answer: −2x
- x terms: 5x − 5x = 0
- x terms: x − 3x = −2x
4.Simplify: 8x + 6x − x − x
Answer: 7x + 5x
- x terms: 8x − x = 7x
- x terms: 6x − x = 5x
5.Simplify: −4x + 5x + 9x − 5x
Answer: 5x
- x terms: −4x + 9x = 5x
- x terms: 5x − 5x = 0
6.Simplify: 8x − 5x + 6x + 5x
Answer: 14x
- x terms: 8x + 6x = 14x
- x terms: −5x + 5x = 0
7.Simplify: −6x + 2x − 3x − 6x
Answer: −9x − 4x
- x terms: −6x − 3x = −9x
- x terms: 2x − 6x = −4x
8.Simplify: 7x − 5x + 3x − 3x
Answer: 10x − 8x
- x terms: 7x + 3x = 10x
- x terms: −5x − 3x = −8x
9.Simplify: 7x − 3x − 6x + 7x
Answer: x + 4x
- x terms: 7x − 6x = x
- x terms: −3x + 7x = 4x
10.Simplify: −5x + x + 7x − x
Answer: 2x
- x terms: −5x + 7x = 2x
- x terms: x − x = 0
11.Simplify: 2x − 5x + 7x − 4x
Answer: 9x − 9x
- x terms: 2x + 7x = 9x
- x terms: −5x − 4x = −9x
12.Simplify: −5x + 7x + 4x + 8x
Answer: −x + 15x
- x terms: −5x + 4x = −x
- x terms: 7x + 8x = 15x
13.Simplify: 9x + 2x + 7x − 2x
Answer: 16x
- x terms: 9x + 7x = 16x
- x terms: 2x − 2x = 0
14.Simplify: −5x + 4x + x + 5x
Answer: −4x + 9x
- x terms: −5x + x = −4x
- x terms: 4x + 5x = 9x
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