9th Grade Simplifying Expressions (Like Terms) Worksheet — Level 3 — Practice Set 4 — Answers

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9th Grade Simplifying Expressions (Like Terms) Worksheet — Level 3 — Practice Set 4 — Answers

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

1.Simplify: −3x + 6y − 2x + 6y

Answer: −5x + 12y

x terms: −3x − 2x = −5x
y terms: 6y + 6y = 12y

2.Simplify: −2x − 4y² − 5x + 9y²

Answer: −7x + 5y²

x terms: −2x − 5x = −7x
y² terms: −4y² + 9y² = 5y²

3.Simplify: 2x + 9y − 6x − 5y

Answer: −4x + 4y

x terms: 2x − 6x = −4x
y terms: 9y − 5y = 4y

4.Simplify: 9x + 3y − 4x + y

Answer: 5x + 4y

x terms: 9x − 4x = 5x
y terms: 3y + y = 4y

5.Simplify: 7x − 5y + 2x − 2y

Answer: 9x − 7y

x terms: 7x + 2x = 9x
y terms: −5y − 2y = −7y

6.Simplify: −4x + 6y + 4x + 7y

Answer: 13y

x terms: −4x + 4x = 0
y terms: 6y + 7y = 13y

7.Simplify: −4x + 6y² − 5x − 5y²

Answer: −9x + y²

x terms: −4x − 5x = −9x
y² terms: 6y² − 5y² = y²

8.Simplify: 3x − 6y + 6x + y

Answer: 9x − 5y

x terms: 3x + 6x = 9x
y terms: −6y + y = −5y

9.Simplify: 6x + 5y + 6x + 8y

Answer: 12x + 13y

x terms: 6x + 6x = 12x
y terms: 5y + 8y = 13y

10.Simplify: 7x + 4y² + 8x + y²

Answer: 15x + 5y²

x terms: 7x + 8x = 15x
y² terms: 4y² + y² = 5y²

11.Simplify: −x + 9y² − 2x + 6y²

Answer: −3x + 15y²

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

12.Simplify: 3x + y + 8x + 4y

Answer: 11x + 5y

x terms: 3x + 8x = 11x
y terms: y + 4y = 5y

13.Simplify: −5x − y + 7x − 2y

Answer: 2x − 3y

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

14.Simplify: 5x + 6y² + 9x + 9y²

Answer: 14x + 15y²

x terms: 5x + 9x = 14x
y² terms: 6y² + 9y² = 15y²

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