Year 9 Simplifying Expressions (Like Terms) Worksheet — Level 3 — Practice Set 3 — Answers

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

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Year 9 Simplifying Expressions (Like Terms) Worksheet — Level 3 — Practice Set 3 — Answers

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

1.Simplify: −2x + 6y + 6x − 5y

Answer: 4x + y

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

2.Simplify: 8x + 5y − 4x + 9y

Answer: 4x + 14y

x terms: 8x − 4x = 4x
y terms: 5y + 9y = 14y

3.Simplify: −6x − 3y² + 5x − 5y²

Answer: −x − 8y²

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

4.Simplify: x + 4y + 2x − 2y

Answer: 3x + 2y

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

5.Simplify: −4x − 3y² + 4x − 5y²

Answer: −8y²

x terms: −4x + 4x = 0
y² terms: −3y² − 5y² = −8y²

6.Simplify: 2x + 2y − 4x − 6y

Answer: −2x − 4y

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

7.Simplify: 8x + y² + 8x + 3y²

Answer: 16x + 4y²

x terms: 8x + 8x = 16x
y² terms: y² + 3y² = 4y²

8.Simplify: 2x + 7y² − 4x + 4y²

Answer: −2x + 11y²

x terms: 2x − 4x = −2x
y² terms: 7y² + 4y² = 11y²

9.Simplify: 3x + 5y² − x − 3y²

Answer: 2x + 2y²

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

10.Simplify: x + 9y + 8x − 5y

Answer: 9x + 4y

x terms: x + 8x = 9x
y terms: 9y − 5y = 4y

11.Simplify: −2x − 3y² + 6x + 2y²

Answer: 4x − y²

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

12.Simplify: −2x + 9y + 5x + 8y

Answer: 3x + 17y

x terms: −2x + 5x = 3x
y terms: 9y + 8y = 17y

13.Simplify: −6x + 9y + 2x + 9y

Answer: −4x + 18y

x terms: −6x + 2x = −4x
y terms: 9y + 9y = 18y

14.Simplify: 2x + 5y − 5x + 2y

Answer: −3x + 7y

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

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