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: 5x − 2y² + 4x + 8y²

Answer: 9x + 6y²

x terms: 5x + 4x = 9x
y² terms: −2y² + 8y² = 6y²

2.Simplify: 7x + 4y² − 2x + 2y²

Answer: 5x + 6y²

x terms: 7x − 2x = 5x
y² terms: 4y² + 2y² = 6y²

3.Simplify: −6x + y + 9x + 3y

Answer: 3x + 4y

x terms: −6x + 9x = 3x
y terms: y + 3y = 4y

4.Simplify: 3x − 5y − 3x + 8y

Answer: 3y

x terms: 3x − 3x = 0
y terms: −5y + 8y = 3y

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

Answer: 10x + 7y

x terms: 8x + 2x = 10x
y terms: 2y + 5y = 7y

6.Simplify: −x − 6y − 4x + 7y

Answer: −5x + y

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

7.Simplify: −5x + 2y² + 3x − 6y²

Answer: −2x − 4y²

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

8.Simplify: x + 6y² + 3x + 4y²

Answer: 4x + 10y²

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

9.Simplify: 5x + 8y − 3x + 9y

Answer: 2x + 17y

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

10.Simplify: 9x + 8y² + 4x − 2y²

Answer: 13x + 6y²

x terms: 9x + 4x = 13x
y² terms: 8y² − 2y² = 6y²

11.Simplify: −4x + 7y² + 3x − y²

Answer: −x + 6y²

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

12.Simplify: 8x + 7y² − 5x − y²

Answer: 3x + 6y²

x terms: 8x − 5x = 3x
y² terms: 7y² − y² = 6y²

13.Simplify: 7x + 4y − 2x + 2y

Answer: 5x + 6y

x terms: 7x − 2x = 5x
y terms: 4y + 2y = 6y

14.Simplify: 5x + 3y² − 6x − 6y²

Answer: −x − 3y²

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

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