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

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7th 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: 3x + 6y − 3x − 6y

Answer: 0

x terms: 3x − 3x = 0
y terms: 6y − 6y = 0

2.Simplify: 8x − 4y² + 8x + 8y²

Answer: 16x + 4y²

x terms: 8x + 8x = 16x
y² terms: −4y² + 8y² = 4y²

3.Simplify: −2x + 5y − 3x + y

Answer: −5x + 6y

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

4.Simplify: 6x − 2y² − 6x + 7y²

Answer: 5y²

x terms: 6x − 6x = 0
y² terms: −2y² + 7y² = 5y²

5.Simplify: −6x + 8y² + 9x − 5y²

Answer: 3x + 3y²

x terms: −6x + 9x = 3x
y² terms: 8y² − 5y² = 3y²

6.Simplify: 9x + 9y² − 3x + 3y²

Answer: 6x + 12y²

x terms: 9x − 3x = 6x
y² terms: 9y² + 3y² = 12y²

7.Simplify: −x − 4y² + 9x − 2y²

Answer: 8x − 6y²

x terms: −x + 9x = 8x
y² terms: −4y² − 2y² = −6y²

8.Simplify: 6x + 5y − 4x + 3y

Answer: 2x + 8y

x terms: 6x − 4x = 2x
y terms: 5y + 3y = 8y

9.Simplify: 4x + 5y + 3x + 2y

Answer: 7x + 7y

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

10.Simplify: 4x − 4y² + x + 9y²

Answer: 5x + 5y²

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

11.Simplify: 7x + 4y + 5x + 9y

Answer: 12x + 13y

x terms: 7x + 5x = 12x
y terms: 4y + 9y = 13y

12.Simplify: 5x + 7y² + 9x − 2y²

Answer: 14x + 5y²

x terms: 5x + 9x = 14x
y² terms: 7y² − 2y² = 5y²

13.Simplify: 4x − 2y² − 4x + 7y²

Answer: 5y²

x terms: 4x − 4x = 0
y² terms: −2y² + 7y² = 5y²

14.Simplify: 5x − 4y − x + 9y

Answer: 4x + 5y

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

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