Year 9 Simplifying Expressions (Like Terms) Worksheet — Level 3 — Answers

Answer sheet with worked solutions for the Year 9 algebraic expressions worksheet.

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Success TutoringWorksheetsAnswer sheetYear 9 · Mathematics · Algebraic Expressions

Year 9 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: −x − 3y − x + 2y

Answer: −2x − y

x terms: −x − x = −2x
y terms: −3y + 2y = −y

2.Simplify: 3x + 3y² − 2x + y²

Answer: x + 4y²

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

3.Simplify: 7x + 9y² − 5x + 8y²

Answer: 2x + 17y²

x terms: 7x − 5x = 2x
y² terms: 9y² + 8y² = 17y²

4.Simplify: −6x + 5y² + 2x − 4y²

Answer: −4x + y²

x terms: −6x + 2x = −4x
y² terms: 5y² − 4y² = y²

5.Simplify: 3x + 8y² + 7x + y²

Answer: 10x + 9y²

x terms: 3x + 7x = 10x
y² terms: 8y² + y² = 9y²

6.Simplify: −2x + 4y² − 3x − 6y²

Answer: −5x − 2y²

x terms: −2x − 3x = −5x
y² terms: 4y² − 6y² = −2y²

7.Simplify: −6x + 5y − 2x + 9y

Answer: −8x + 14y

x terms: −6x − 2x = −8x
y terms: 5y + 9y = 14y

8.Simplify: −2x − 6y² + x + 2y²

Answer: −x − 4y²

x terms: −2x + x = −x
y² terms: −6y² + 2y² = −4y²

9.Simplify: −3x + 7y² + 3x + 9y²

Answer: 16y²

x terms: −3x + 3x = 0
y² terms: 7y² + 9y² = 16y²

10.Simplify: 3x − 6y² + 3x + y²

Answer: 6x − 5y²

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

11.Simplify: 9x + 9y + 8x − 6y

Answer: 17x + 3y

x terms: 9x + 8x = 17x
y terms: 9y − 6y = 3y

12.Simplify: 9x + 5y² + x − 5y²

Answer: 10x

x terms: 9x + x = 10x
y² terms: 5y² − 5y² = 0

13.Simplify: x + 2y² − x − 5y²

Answer: −3y²

x terms: x − x = 0
y² terms: 2y² − 5y² = −3y²

14.Simplify: 8x + 7y + 8x + 4y

Answer: 16x + 11y

x terms: 8x + 8x = 16x
y terms: 7y + 4y = 11y

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