9th Grade Simplifying Expressions (Like Terms) Worksheet — Level 3 — Practice Set 2 — Answers

Answer sheet with worked solutions for the 9th Grade algebraic expressions worksheet.

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9th 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: −3x − y² − 6x − 2y²

Answer: −9x − 3y²

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

2.Simplify: 2x + 2y² + 4x − 3y²

Answer: 6x − y²

x terms: 2x + 4x = 6x
y² terms: 2y² − 3y² = −y²

3.Simplify: −3x − 2y² − x + y²

Answer: −4x − y²

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

4.Simplify: −6x + 4y² + 9x − 5y²

Answer: 3x − y²

x terms: −6x + 9x = 3x
y² terms: 4y² − 5y² = −y²

5.Simplify: 2x + 5y² + 3x + 9y²

Answer: 5x + 14y²

x terms: 2x + 3x = 5x
y² terms: 5y² + 9y² = 14y²

6.Simplify: 8x + y² − x + 4y²

Answer: 7x + 5y²

x terms: 8x − x = 7x
y² terms: y² + 4y² = 5y²

7.Simplify: 9x − 6y + 8x − 6y

Answer: 17x − 12y

x terms: 9x + 8x = 17x
y terms: −6y − 6y = −12y

8.Simplify: −x − 5y + 4x + 7y

Answer: 3x + 2y

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

9.Simplify: 3x + 4y² + 2x + 6y²

Answer: 5x + 10y²

x terms: 3x + 2x = 5x
y² terms: 4y² + 6y² = 10y²

10.Simplify: 8x − 3y² + 4x − 2y²

Answer: 12x − 5y²

x terms: 8x + 4x = 12x
y² terms: −3y² − 2y² = −5y²

11.Simplify: 2x − 4y − 2x − 6y

Answer: −10y

x terms: 2x − 2x = 0
y terms: −4y − 6y = −10y

12.Simplify: 7x + 9y² + 9x + 6y²

Answer: 16x + 15y²

x terms: 7x + 9x = 16x
y² terms: 9y² + 6y² = 15y²

13.Simplify: 4x + 2y² + 9x + 3y²

Answer: 13x + 5y²

x terms: 4x + 9x = 13x
y² terms: 2y² + 3y² = 5y²

14.Simplify: 8x + 5y − 2x + 7y

Answer: 6x + 12y

x terms: 8x − 2x = 6x
y terms: 5y + 7y = 12y

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