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

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

1.Simplify: x + 7y² − x − 6y²

Answer: y²

x terms: x − x = 0
y² terms: 7y² − 6y² = y²

2.Simplify: −3x − y + 7x + 7y

Answer: 4x + 6y

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

3.Simplify: 4x − 6y² + 5x − 2y²

Answer: 9x − 8y²

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

4.Simplify: x + y² + 6x + 2y²

Answer: 7x + 3y²

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

5.Simplify: −3x + 2y + 3x − 5y

Answer: −3y

x terms: −3x + 3x = 0
y terms: 2y − 5y = −3y

6.Simplify: 3x − 4y + x + y

Answer: 4x − 3y

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

7.Simplify: 5x − 2y² − 2x + 4y²

Answer: 3x + 2y²

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

8.Simplify: 4x + y² − 6x − 3y²

Answer: −2x − 2y²

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

9.Simplify: −x − 4y² − x − 5y²

Answer: −2x − 9y²

x terms: −x − x = −2x
y² terms: −4y² − 5y² = −9y²

10.Simplify: 9x − 3y − x − 3y

Answer: 8x − 6y

x terms: 9x − x = 8x
y terms: −3y − 3y = −6y

11.Simplify: 5x − 2y² − 2x + 3y²

Answer: 3x + y²

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

12.Simplify: 3x + y + 7x − 5y

Answer: 10x − 4y

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

13.Simplify: −x − 6y − 4x + 8y

Answer: −5x + 2y

x terms: −x − 4x = −5x
y terms: −6y + 8y = 2y

14.Simplify: −2x + y + 5x − y

Answer: 3x

x terms: −2x + 5x = 3x
y terms: y − y = 0

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