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 + 8y² − x − 4y²

Answer: 7x + 4y²

x terms: 8x − x = 7x
y² terms: 8y² − 4y² = 4y²

2.Simplify: x − 3y² + x + 4y²

Answer: 2x + y²

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

3.Simplify: −x + 9y² + 3x + y²

Answer: 2x + 10y²

x terms: −x + 3x = 2x
y² terms: 9y² + y² = 10y²

4.Simplify: −2x − 6y² + 9x + y²

Answer: 7x − 5y²

x terms: −2x + 9x = 7x
y² terms: −6y² + y² = −5y²

5.Simplify: −2x − 3y + 9x + 4y

Answer: 7x + y

x terms: −2x + 9x = 7x
y terms: −3y + 4y = y

6.Simplify: 6x − 3y − 4x + 6y

Answer: 2x + 3y

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

7.Simplify: 6x − y² − x − 3y²

Answer: 5x − 4y²

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

8.Simplify: 5x + 5y − 4x + 5y

Answer: x + 10y

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

9.Simplify: −6x + y + 4x − y

Answer: −2x

x terms: −6x + 4x = −2x
y terms: y − y = 0

10.Simplify: 8x − 3y + 2x − 4y

Answer: 10x − 7y

x terms: 8x + 2x = 10x
y terms: −3y − 4y = −7y

11.Simplify: 3x − 4y² + 2x + 7y²

Answer: 5x + 3y²

x terms: 3x + 2x = 5x
y² terms: −4y² + 7y² = 3y²

12.Simplify: x − 6y² + 5x + 6y²

Answer: 6x

x terms: x + 5x = 6x
y² terms: −6y² + 6y² = 0

13.Simplify: x − 5y² − x − 2y²

Answer: −7y²

x terms: x − x = 0
y² terms: −5y² − 2y² = −7y²

14.Simplify: −5x + 4y² − x + 3y²

Answer: −6x + 7y²

x terms: −5x − x = −6x
y² terms: 4y² + 3y² = 7y²

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