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

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

1.Simplify: 6x − 3y² + 7x − 4y²

Answer: 13x − 7y²

x terms: 6x + 7x = 13x
y² terms: −3y² − 4y² = −7y²

2.Simplify: 7x + 5y − 5x + 8y

Answer: 2x + 13y

x terms: 7x − 5x = 2x
y terms: 5y + 8y = 13y

3.Simplify: 4x + 3y² − 5x + 5y²

Answer: −x + 8y²

x terms: 4x − 5x = −x
y² terms: 3y² + 5y² = 8y²

4.Simplify: −x − y² + 4x − y²

Answer: 3x − 2y²

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

5.Simplify: 9x − 6y² + 4x + 3y²

Answer: 13x − 3y²

x terms: 9x + 4x = 13x
y² terms: −6y² + 3y² = −3y²

6.Simplify: 4x + 2y + 7x + 8y

Answer: 11x + 10y

x terms: 4x + 7x = 11x
y terms: 2y + 8y = 10y

7.Simplify: −3x + 8y² − 5x − y²

Answer: −8x + 7y²

x terms: −3x − 5x = −8x
y² terms: 8y² − y² = 7y²

8.Simplify: 5x + 9y + 8x + 2y

Answer: 13x + 11y

x terms: 5x + 8x = 13x
y terms: 9y + 2y = 11y

9.Simplify: 7x + 3y² − 6x + 3y²

Answer: x + 6y²

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

10.Simplify: 6x + 8y² + 7x − 4y²

Answer: 13x + 4y²

x terms: 6x + 7x = 13x
y² terms: 8y² − 4y² = 4y²

11.Simplify: −x + 2y² − 4x + 9y²

Answer: −5x + 11y²

x terms: −x − 4x = −5x
y² terms: 2y² + 9y² = 11y²

12.Simplify: 4x − y + 2x + 2y

Answer: 6x + y

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

13.Simplify: 8x + 9y − 5x + 9y

Answer: 3x + 18y

x terms: 8x − 5x = 3x
y terms: 9y + 9y = 18y

14.Simplify: 5x + 3y − 2x + 7y

Answer: 3x + 10y

x terms: 5x − 2x = 3x
y terms: 3y + 7y = 10y

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