Year 7 Simplifying Expressions (Like Terms) Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 7 algebraic expressions worksheet.
Success TutoringWorksheetsAnswer sheetYear 7 · Mathematics · Algebraic ExpressionsYear 7 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: 9x + x + 8x + 9x
Answer: 17x + 10x
- x terms: 9x + 8x = 17x
- x terms: x + 9x = 10x
2.Simplify: −5x + x + 5x + 4x
Answer: 5x
- x terms: −5x + 5x = 0
- x terms: x + 4x = 5x
3.Simplify: 8x − x + 9x − 3x
Answer: 17x − 4x
- x terms: 8x + 9x = 17x
- x terms: −x − 3x = −4x
4.Simplify: −2x − 2x + 5x − x
Answer: 3x − 3x
- x terms: −2x + 5x = 3x
- x terms: −2x − x = −3x
5.Simplify: 5x + 8x + x + 7x
Answer: 6x + 15x
- x terms: 5x + x = 6x
- x terms: 8x + 7x = 15x
6.Simplify: 7x + 3x + 6x − 6x
Answer: 13x − 3x
- x terms: 7x + 6x = 13x
- x terms: 3x − 6x = −3x
7.Simplify: 3x + 3x − 4x + 9x
Answer: −x + 12x
- x terms: 3x − 4x = −x
- x terms: 3x + 9x = 12x
8.Simplify: 3x + 4x + x − 5x
Answer: 4x − x
- x terms: 3x + x = 4x
- x terms: 4x − 5x = −x
9.Simplify: 5x + 5x + 6x + x
Answer: 11x + 6x
- x terms: 5x + 6x = 11x
- x terms: 5x + x = 6x
10.Simplify: −2x + 7x − x − 5x
Answer: −3x + 2x
- x terms: −2x − x = −3x
- x terms: 7x − 5x = 2x
11.Simplify: −4x + 2x − 5x + 6x
Answer: −9x + 8x
- x terms: −4x − 5x = −9x
- x terms: 2x + 6x = 8x
12.Simplify: x − 3x + 2x + x
Answer: 3x − 2x
- x terms: x + 2x = 3x
- x terms: −3x + x = −2x
13.Simplify: 7x − 4x − 4x + 2x
Answer: 3x − 2x
- x terms: 7x − 4x = 3x
- x terms: −4x + 2x = −2x
14.Simplify: −4x + 9x − 4x − 3x
Answer: −8x + 6x
- x terms: −4x − 4x = −8x
- x terms: 9x − 3x = 6x
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