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

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

1.Simplify: −2x − 2y² + 8x + 8y²

Answer: 6x + 6y²

x terms: −2x + 8x = 6x
y² terms: −2y² + 8y² = 6y²

2.Simplify: −x − 5y + 2x − 5y

Answer: x − 10y

x terms: −x + 2x = x
y terms: −5y − 5y = −10y

3.Simplify: 5x − 3y − 3x + 7y

Answer: 2x + 4y

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

4.Simplify: 9x + 6y + 9x − 5y

Answer: 18x + y

x terms: 9x + 9x = 18x
y terms: 6y − 5y = y

5.Simplify: 6x − 3y − 2x + 3y

Answer: 4x

x terms: 6x − 2x = 4x
y terms: −3y + 3y = 0

6.Simplify: 5x + 7y² − 3x + 9y²

Answer: 2x + 16y²

x terms: 5x − 3x = 2x
y² terms: 7y² + 9y² = 16y²

7.Simplify: −3x − y − x + 9y

Answer: −4x + 8y

x terms: −3x − x = −4x
y terms: −y + 9y = 8y

8.Simplify: 3x − 3y² − 6x + 4y²

Answer: −3x + y²

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

9.Simplify: 3x + 3y + 7x − 6y

Answer: 10x − 3y

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

10.Simplify: 8x + 7y² + 9x − 5y²

Answer: 17x + 2y²

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

11.Simplify: 7x + 3y² + 9x + 7y²

Answer: 16x + 10y²

x terms: 7x + 9x = 16x
y² terms: 3y² + 7y² = 10y²

12.Simplify: −3x + 3y + 7x + 4y

Answer: 4x + 7y

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

13.Simplify: −3x − 6y + x + 9y

Answer: −2x + 3y

x terms: −3x + x = −2x
y terms: −6y + 9y = 3y

14.Simplify: −6x + 7y² + 4x + 4y²

Answer: −2x + 11y²

x terms: −6x + 4x = −2x
y² terms: 7y² + 4y² = 11y²

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