Year 10 Simplifying Expressions (Like Terms) Worksheet — Level 2 — Practice Set 3 — Answers
Answer sheet with worked solutions for the Year 10 algebraic expressions worksheet.
Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Algebraic ExpressionsYear 10 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: 4x − 5x + 7x + 9x
Answer: 11x + 4x
- x terms: 4x + 7x = 11x
- x terms: −5x + 9x = 4x
2.Simplify: −x − 6x + 7x − 4x
Answer: 6x − 10x
- x terms: −x + 7x = 6x
- x terms: −6x − 4x = −10x
3.Simplify: 5x − 6x + 7x − x
Answer: 12x − 7x
- x terms: 5x + 7x = 12x
- x terms: −6x − x = −7x
4.Simplify: 6x + 6x + 6x + 5x
Answer: 12x + 11x
- x terms: 6x + 6x = 12x
- x terms: 6x + 5x = 11x
5.Simplify: 2x + 8x − 2x + 8x
Answer: 16x
- x terms: 2x − 2x = 0
- x terms: 8x + 8x = 16x
6.Simplify: 7x + 8x − 6x + 7x
Answer: x + 15x
- x terms: 7x − 6x = x
- x terms: 8x + 7x = 15x
7.Simplify: 4x − 4x − 2x − 3x
Answer: 2x − 7x
- x terms: 4x − 2x = 2x
- x terms: −4x − 3x = −7x
8.Simplify: 7x − 6x − 5x − x
Answer: 2x − 7x
- x terms: 7x − 5x = 2x
- x terms: −6x − x = −7x
9.Simplify: −2x + 8x + 3x + 9x
Answer: x + 17x
- x terms: −2x + 3x = x
- x terms: 8x + 9x = 17x
10.Simplify: 9x − 5x + 4x + 9x
Answer: 13x + 4x
- x terms: 9x + 4x = 13x
- x terms: −5x + 9x = 4x
11.Simplify: −3x + 5x + 3x − 6x
Answer: −x
- x terms: −3x + 3x = 0
- x terms: 5x − 6x = −x
12.Simplify: 8x + 6x − 3x − 6x
Answer: 5x
- x terms: 8x − 3x = 5x
- x terms: 6x − 6x = 0
13.Simplify: 6x − 2x + 2x + 7x
Answer: 8x + 5x
- x terms: 6x + 2x = 8x
- x terms: −2x + 7x = 5x
14.Simplify: −3x − 3x − 5x − 4x
Answer: −8x − 7x
- x terms: −3x − 5x = −8x
- x terms: −3x − 4x = −7x
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