8th Grade Simplifying Expressions (Like Terms) Worksheet — Level 3 — Practice Set 2 — Answers

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8th 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: −2x − 6y + x + 6y

Answer: −x

x terms: −2x + x = −x
y terms: −6y + 6y = 0

2.Simplify: x − 3y² − 4x − y²

Answer: −3x − 4y²

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

3.Simplify: −4x + 3y − x + 7y

Answer: −5x + 10y

x terms: −4x − x = −5x
y terms: 3y + 7y = 10y

4.Simplify: −4x + 9y + 9x − 2y

Answer: 5x + 7y

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

5.Simplify: −5x + 6y + 4x − 4y

Answer: −x + 2y

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

6.Simplify: 2x + 5y² − 3x − 4y²

Answer: −x + y²

x terms: 2x − 3x = −x
y² terms: 5y² − 4y² = y²

7.Simplify: 3x + 2y² − 5x + 8y²

Answer: −2x + 10y²

x terms: 3x − 5x = −2x
y² terms: 2y² + 8y² = 10y²

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

Answer: 7x + 16y

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

9.Simplify: −6x + 6y − 4x − 5y

Answer: −10x + y

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

10.Simplify: 4x + 9y² + 2x + 3y²

Answer: 6x + 12y²

x terms: 4x + 2x = 6x
y² terms: 9y² + 3y² = 12y²

11.Simplify: 3x + 7y + 7x − 2y

Answer: 10x + 5y

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

12.Simplify: −6x + 5y + 6x − 5y

Answer: 0

x terms: −6x + 6x = 0
y terms: 5y − 5y = 0

13.Simplify: −3x + 8y + 7x + y

Answer: 4x + 9y

x terms: −3x + 7x = 4x
y terms: 8y + y = 9y

14.Simplify: 6x + 2y² + 7x + 3y²

Answer: 13x + 5y²

x terms: 6x + 7x = 13x
y² terms: 2y² + 3y² = 5y²

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