7th Grade Simplifying Expressions (Like Terms) Worksheet — Level 3 — Practice Set 2 — Answers

Answer sheet with worked solutions for the 7th Grade algebraic expressions worksheet.

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7th Grade Simplifying Expressions (Like Terms) Worksheet — Level 3 — Practice Set 2 — Answers

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

1.Simplify: 6x − 6y² − 6x − 5y²

Answer: −11y²

x terms: 6x − 6x = 0
y² terms: −6y² − 5y² = −11y²

2.Simplify: −2x + 6y² + 2x + 3y²

Answer: 9y²

x terms: −2x + 2x = 0
y² terms: 6y² + 3y² = 9y²

3.Simplify: x + 4y² + 7x − 6y²

Answer: 8x − 2y²

x terms: x + 7x = 8x
y² terms: 4y² − 6y² = −2y²

4.Simplify: 3x − 6y + 4x + y

Answer: 7x − 5y

x terms: 3x + 4x = 7x
y terms: −6y + y = −5y

5.Simplify: 7x + 3y + 9x + 4y

Answer: 16x + 7y

x terms: 7x + 9x = 16x
y terms: 3y + 4y = 7y

6.Simplify: 5x − 4y − 6x + 5y

Answer: −x + y

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

7.Simplify: −6x + 3y² + 5x + 8y²

Answer: −x + 11y²

x terms: −6x + 5x = −x
y² terms: 3y² + 8y² = 11y²

8.Simplify: −5x + 2y² + 7x − 6y²

Answer: 2x − 4y²

x terms: −5x + 7x = 2x
y² terms: 2y² − 6y² = −4y²

9.Simplify: 2x − 4y² − 2x + 7y²

Answer: 3y²

x terms: 2x − 2x = 0
y² terms: −4y² + 7y² = 3y²

10.Simplify: −2x + 8y + x + 4y

Answer: −x + 12y

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

11.Simplify: 6x + y² − 4x − y²

Answer: 2x

x terms: 6x − 4x = 2x
y² terms: y² − y² = 0

12.Simplify: −4x − 6y − 6x + 3y

Answer: −10x − 3y

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

13.Simplify: 3x + 3y + x − 4y

Answer: 4x − y

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

14.Simplify: 5x − 6y² − 2x − 2y²

Answer: 3x − 8y²

x terms: 5x − 2x = 3x
y² terms: −6y² − 2y² = −8y²

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