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

Answer sheet with worked solutions for the 8th Grade algebraic expressions worksheet.

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8th 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: 7x + 2y² − 3x − 4y²

Answer: 4x − 2y²

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

2.Simplify: 7x − 5y + 2x + 9y

Answer: 9x + 4y

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

3.Simplify: 6x + 9y² + 7x + y²

Answer: 13x + 10y²

x terms: 6x + 7x = 13x
y² terms: 9y² + y² = 10y²

4.Simplify: 5x + 5y + x + 8y

Answer: 6x + 13y

x terms: 5x + x = 6x
y terms: 5y + 8y = 13y

5.Simplify: −4x − 4y − 3x + y

Answer: −7x − 3y

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

6.Simplify: −6x + 2y − 6x + 6y

Answer: −12x + 8y

x terms: −6x − 6x = −12x
y terms: 2y + 6y = 8y

7.Simplify: 7x + 8y² − x + 3y²

Answer: 6x + 11y²

x terms: 7x − x = 6x
y² terms: 8y² + 3y² = 11y²

8.Simplify: 2x + 7y² + 7x − 5y²

Answer: 9x + 2y²

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

9.Simplify: −x − 5y + 7x − 4y

Answer: 6x − 9y

x terms: −x + 7x = 6x
y terms: −5y − 4y = −9y

10.Simplify: −2x + 4y² + 4x + y²

Answer: 2x + 5y²

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

11.Simplify: −5x + y + 7x + 2y

Answer: 2x + 3y

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

12.Simplify: −6x + 5y + 9x − 6y

Answer: 3x − y

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

13.Simplify: 8x − 6y² + x + 6y²

Answer: 9x

x terms: 8x + x = 9x
y² terms: −6y² + 6y² = 0

14.Simplify: 7x + 4y² + 9x + 4y²

Answer: 16x + 8y²

x terms: 7x + 9x = 16x
y² terms: 4y² + 4y² = 8y²

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