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