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: 9x − 2x − 5x + 8x
Answer: 4x + 6x
- x terms: 9x − 5x = 4x
- x terms: −2x + 8x = 6x
2.Simplify: −5x + 3x − x + 2x
Answer: −6x + 5x
- x terms: −5x − x = −6x
- x terms: 3x + 2x = 5x
3.Simplify: 4x + x + x − 2x
Answer: 5x − x
- x terms: 4x + x = 5x
- x terms: x − 2x = −x
4.Simplify: 9x + x + x + 4x
Answer: 10x + 5x
- x terms: 9x + x = 10x
- x terms: x + 4x = 5x
5.Simplify: 8x + 3x − 3x + 7x
Answer: 5x + 10x
- x terms: 8x − 3x = 5x
- x terms: 3x + 7x = 10x
6.Simplify: −6x − 4x + 2x + 5x
Answer: −4x + x
- x terms: −6x + 2x = −4x
- x terms: −4x + 5x = x
7.Simplify: −x − x − 4x + x
Answer: −5x
- x terms: −x − 4x = −5x
- x terms: −x + x = 0
8.Simplify: 3x − 3x − 3x + 8x
Answer: 5x
- x terms: 3x − 3x = 0
- x terms: −3x + 8x = 5x
9.Simplify: −4x − 6x − 3x + 3x
Answer: −7x − 3x
- x terms: −4x − 3x = −7x
- x terms: −6x + 3x = −3x
10.Simplify: −5x + 8x − 5x + x
Answer: −10x + 9x
- x terms: −5x − 5x = −10x
- x terms: 8x + x = 9x
11.Simplify: −2x − 4x − 4x + x
Answer: −6x − 3x
- x terms: −2x − 4x = −6x
- x terms: −4x + x = −3x
12.Simplify: −4x − 4x + 2x − 3x
Answer: −2x − 7x
- x terms: −4x + 2x = −2x
- x terms: −4x − 3x = −7x
13.Simplify: −3x + 6x + 4x + 8x
Answer: x + 14x
- x terms: −3x + 4x = x
- x terms: 6x + 8x = 14x
14.Simplify: 3x + 6x + 9x − 6x
Answer: 12x
- x terms: 3x + 9x = 12x
- x terms: 6x − 6x = 0
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