Year 10 Simplifying Expressions (Like Terms) Worksheet — Level 3 — Practice Set 4 — Answers

Answer sheet with worked solutions for the Year 10 algebraic expressions worksheet.

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Year 10 Simplifying Expressions (Like Terms) Worksheet — Level 3 — Practice Set 4 — Answers

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

1.Simplify: 7x − 4y² + 8x + 6y²

Answer: 15x + 2y²

x terms: 7x + 8x = 15x
y² terms: −4y² + 6y² = 2y²

2.Simplify: 5x + 8y² − 5x + 7y²

Answer: 15y²

x terms: 5x − 5x = 0
y² terms: 8y² + 7y² = 15y²

3.Simplify: 7x − 6y − 2x − 5y

Answer: 5x − 11y

x terms: 7x − 2x = 5x
y terms: −6y − 5y = −11y

4.Simplify: 3x + 2y² − 4x + 6y²

Answer: −x + 8y²

x terms: 3x − 4x = −x
y² terms: 2y² + 6y² = 8y²

5.Simplify: −3x − 3y + 7x + y

Answer: 4x − 2y

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

6.Simplify: 6x − 3y² − 4x + 5y²

Answer: 2x + 2y²

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

7.Simplify: x − 5y² − 2x + 8y²

Answer: −x + 3y²

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

8.Simplify: 9x + 8y² − 2x − 4y²

Answer: 7x + 4y²

x terms: 9x − 2x = 7x
y² terms: 8y² − 4y² = 4y²

9.Simplify: 6x + 5y² − 3x + 4y²

Answer: 3x + 9y²

x terms: 6x − 3x = 3x
y² terms: 5y² + 4y² = 9y²

10.Simplify: −2x + 7y + 8x − y

Answer: 6x + 6y

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

11.Simplify: −4x − 4y + 8x + 4y

Answer: 4x

x terms: −4x + 8x = 4x
y terms: −4y + 4y = 0

12.Simplify: 3x − y − 5x + 9y

Answer: −2x + 8y

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

13.Simplify: 4x − 2y + 8x − 4y

Answer: 12x − 6y

x terms: 4x + 8x = 12x
y terms: −2y − 4y = −6y

14.Simplify: 3x + 4y + x − 3y

Answer: 4x + y

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

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