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

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

1.Simplify: 8x + 6y − 2x + 6y

Answer: 6x + 12y

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

2.Simplify: 5x + 8y + 5x + 6y

Answer: 10x + 14y

x terms: 5x + 5x = 10x
y terms: 8y + 6y = 14y

3.Simplify: x + 7y − 6x − 3y

Answer: −5x + 4y

x terms: x − 6x = −5x
y terms: 7y − 3y = 4y

4.Simplify: −6x + 4y² − 3x + 7y²

Answer: −9x + 11y²

x terms: −6x − 3x = −9x
y² terms: 4y² + 7y² = 11y²

5.Simplify: 5x − y² − 2x − 2y²

Answer: 3x − 3y²

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

6.Simplify: x − 6y² − 2x + 2y²

Answer: −x − 4y²

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

7.Simplify: 2x − 2y² + 4x − 3y²

Answer: 6x − 5y²

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

8.Simplify: 7x + y² − 4x − 3y²

Answer: 3x − 2y²

x terms: 7x − 4x = 3x
y² terms: y² − 3y² = −2y²

9.Simplify: 4x − 6y + 2x − y

Answer: 6x − 7y

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

10.Simplify: 7x − 6y² − 6x + 3y²

Answer: x − 3y²

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

11.Simplify: −5x + 8y² + 7x + 5y²

Answer: 2x + 13y²

x terms: −5x + 7x = 2x
y² terms: 8y² + 5y² = 13y²

12.Simplify: −5x + 7y² − 5x − 3y²

Answer: −10x + 4y²

x terms: −5x − 5x = −10x
y² terms: 7y² − 3y² = 4y²

13.Simplify: x − 2y² + 8x − 3y²

Answer: 9x − 5y²

x terms: x + 8x = 9x
y² terms: −2y² − 3y² = −5y²

14.Simplify: 2x + 5y² − 2x + 3y²

Answer: 8y²

x terms: 2x − 2x = 0
y² terms: 5y² + 3y² = 8y²

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