7th Grade Simplifying Expressions (Like Terms) Worksheet — Level 3 — Practice Set 4 — Answers

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7th 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: 9x + 6y − 5x + 3y

Answer: 4x + 9y

x terms: 9x − 5x = 4x
y terms: 6y + 3y = 9y

2.Simplify: −4x + 8y + 2x + 4y

Answer: −2x + 12y

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

3.Simplify: −5x + y² + 7x + 7y²

Answer: 2x + 8y²

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

4.Simplify: 9x − 6y − 5x − 4y

Answer: 4x − 10y

x terms: 9x − 5x = 4x
y terms: −6y − 4y = −10y

5.Simplify: −6x + 7y − 4x + y

Answer: −10x + 8y

x terms: −6x − 4x = −10x
y terms: 7y + y = 8y

6.Simplify: 5x − 2y − x − 2y

Answer: 4x − 4y

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

7.Simplify: 8x − 5y² − 5x + 3y²

Answer: 3x − 2y²

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

8.Simplify: 3x + 7y² − 4x − y²

Answer: −x + 6y²

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

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

Answer: 14x + 11y

x terms: 6x + 8x = 14x
y terms: 6y + 5y = 11y

10.Simplify: −3x − 6y² − 2x − 3y²

Answer: −5x − 9y²

x terms: −3x − 2x = −5x
y² terms: −6y² − 3y² = −9y²

11.Simplify: −3x − y + 3x + y

Answer: 0

x terms: −3x + 3x = 0
y terms: −y + y = 0

12.Simplify: −6x − 6y² + x − 5y²

Answer: −5x − 11y²

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

13.Simplify: −5x − 5y − 5x + 9y

Answer: −10x + 4y

x terms: −5x − 5x = −10x
y terms: −5y + 9y = 4y

14.Simplify: 2x − y² + 4x + 6y²

Answer: 6x + 5y²

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

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