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: −5x + 4y² + 2x + 8y²

Answer: −3x + 12y²

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

2.Simplify: −x + 7y² − 2x − y²

Answer: −3x + 6y²

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

3.Simplify: 7x − 2y² + 9x + y²

Answer: 16x − y²

x terms: 7x + 9x = 16x
y² terms: −2y² + y² = −y²

4.Simplify: 5x + y² − 2x + 6y²

Answer: 3x + 7y²

x terms: 5x − 2x = 3x
y² terms: y² + 6y² = 7y²

5.Simplify: −2x + 5y + x − 2y

Answer: −x + 3y

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

6.Simplify: 3x + 6y² + 3x + 3y²

Answer: 6x + 9y²

x terms: 3x + 3x = 6x
y² terms: 6y² + 3y² = 9y²

7.Simplify: 6x − 5y + 7x + 8y

Answer: 13x + 3y

x terms: 6x + 7x = 13x
y terms: −5y + 8y = 3y

8.Simplify: 4x + 7y − 5x + 8y

Answer: −x + 15y

x terms: 4x − 5x = −x
y terms: 7y + 8y = 15y

9.Simplify: −x + 8y + 7x + 2y

Answer: 6x + 10y

x terms: −x + 7x = 6x
y terms: 8y + 2y = 10y

10.Simplify: −4x − 5y² − 4x + y²

Answer: −8x − 4y²

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

11.Simplify: 7x + 2y² + 5x + 8y²

Answer: 12x + 10y²

x terms: 7x + 5x = 12x
y² terms: 2y² + 8y² = 10y²

12.Simplify: 4x + 6y² + 2x + 5y²

Answer: 6x + 11y²

x terms: 4x + 2x = 6x
y² terms: 6y² + 5y² = 11y²

13.Simplify: −x − 2y + 8x + 2y

Answer: 7x

x terms: −x + 8x = 7x
y terms: −2y + 2y = 0

14.Simplify: 9x + 3y² − 2x − 6y²

Answer: 7x − 3y²

x terms: 9x − 2x = 7x
y² terms: 3y² − 6y² = −3y²

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