Year 10 Simplifying Expressions (Like Terms) Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 10 algebraic expressions worksheet.

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Success TutoringWorksheetsAnswer sheetYear 10 · Mathematics · Algebraic Expressions

Year 10 Simplifying Expressions (Like Terms) Worksheet — Level 3 — Answers

Collect the like terms. Only terms with exactly the same letter and power can be added.

1.Simplify: −5x + 8y² + 9x + 9y²

Answer: 4x + 17y²

x terms: −5x + 9x = 4x
y² terms: 8y² + 9y² = 17y²

2.Simplify: 6x + 2y − x + 5y

Answer: 5x + 7y

x terms: 6x − x = 5x
y terms: 2y + 5y = 7y

3.Simplify: −2x + 4y + 4x + 9y

Answer: 2x + 13y

x terms: −2x + 4x = 2x
y terms: 4y + 9y = 13y

4.Simplify: 4x − 5y + 8x − 2y

Answer: 12x − 7y

x terms: 4x + 8x = 12x
y terms: −5y − 2y = −7y

5.Simplify: 9x − 3y² + 7x − y²

Answer: 16x − 4y²

x terms: 9x + 7x = 16x
y² terms: −3y² − y² = −4y²

6.Simplify: 3x − 5y² + 6x − 3y²

Answer: 9x − 8y²

x terms: 3x + 6x = 9x
y² terms: −5y² − 3y² = −8y²

7.Simplify: x + 9y² − 3x + 6y²

Answer: −2x + 15y²

x terms: x − 3x = −2x
y² terms: 9y² + 6y² = 15y²

8.Simplify: 8x + 2y² + 3x − 2y²

Answer: 11x

x terms: 8x + 3x = 11x
y² terms: 2y² − 2y² = 0

9.Simplify: x + 7y² + 3x + 3y²

Answer: 4x + 10y²

x terms: x + 3x = 4x
y² terms: 7y² + 3y² = 10y²

10.Simplify: −4x + 4y² + 9x + 8y²

Answer: 5x + 12y²

x terms: −4x + 9x = 5x
y² terms: 4y² + 8y² = 12y²

11.Simplify: −2x − y² + 7x + 4y²

Answer: 5x + 3y²

x terms: −2x + 7x = 5x
y² terms: −y² + 4y² = 3y²

12.Simplify: −6x + 6y² − 5x + 6y²

Answer: −11x + 12y²

x terms: −6x − 5x = −11x
y² terms: 6y² + 6y² = 12y²

13.Simplify: 5x − 4y² − x + 5y²

Answer: 4x + y²

x terms: 5x − x = 4x
y² terms: −4y² + 5y² = y²

14.Simplify: 3x + 4y + 7x − 2y

Answer: 10x + 2y

x terms: 3x + 7x = 10x
y terms: 4y − 2y = 2y

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