9th Grade Simplifying Expressions (Like Terms) Worksheet — Level 3 — Practice Set 3 — Answers

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

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9th Grade Simplifying Expressions (Like Terms) Worksheet — Level 3 — Practice Set 3 — Answers

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

1.Simplify: 4x + 7y − 6x + 3y

Answer: −2x + 10y

x terms: 4x − 6x = −2x
y terms: 7y + 3y = 10y

2.Simplify: −4x + 4y² + 6x − 2y²

Answer: 2x + 2y²

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

3.Simplify: −6x − y² − x + y²

Answer: −7x

x terms: −6x − x = −7x
y² terms: −y² + y² = 0

4.Simplify: 8x + 2y² − x + 3y²

Answer: 7x + 5y²

x terms: 8x − x = 7x
y² terms: 2y² + 3y² = 5y²

5.Simplify: 4x − 3y − 3x − 6y

Answer: x − 9y

x terms: 4x − 3x = x
y terms: −3y − 6y = −9y

6.Simplify: 4x − 4y − 3x + 8y

Answer: x + 4y

x terms: 4x − 3x = x
y terms: −4y + 8y = 4y

7.Simplify: −3x + y² − 3x + 9y²

Answer: −6x + 10y²

x terms: −3x − 3x = −6x
y² terms: y² + 9y² = 10y²

8.Simplify: −6x + 3y² − x + 4y²

Answer: −7x + 7y²

x terms: −6x − x = −7x
y² terms: 3y² + 4y² = 7y²

9.Simplify: 2x + 8y² − 4x − y²

Answer: −2x + 7y²

x terms: 2x − 4x = −2x
y² terms: 8y² − y² = 7y²

10.Simplify: −2x + 3y − x − 2y

Answer: −3x + y

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

11.Simplify: 3x − 4y − 3x − y

Answer: −5y

x terms: 3x − 3x = 0
y terms: −4y − y = −5y

12.Simplify: −5x + 3y² + 8x − 4y²

Answer: 3x − y²

x terms: −5x + 8x = 3x
y² terms: 3y² − 4y² = −y²

13.Simplify: −5x − 3y + 8x + 8y

Answer: 3x + 5y

x terms: −5x + 8x = 3x
y terms: −3y + 8y = 5y

14.Simplify: −5x + 2y² + 7x − 3y²

Answer: 2x − y²

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

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