Year 10 Simplifying Expressions (Like Terms) Worksheet — Level 3 — Practice Set 2 — 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 2 — Answers

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

1.Simplify: 9x − 4y + 4x + 2y

Answer: 13x − 2y

x terms: 9x + 4x = 13x
y terms: −4y + 2y = −2y

2.Simplify: 8x + y² + x + 8y²

Answer: 9x + 9y²

x terms: 8x + x = 9x
y² terms: y² + 8y² = 9y²

3.Simplify: 7x + y² + x − 6y²

Answer: 8x − 5y²

x terms: 7x + x = 8x
y² terms: y² − 6y² = −5y²

4.Simplify: −6x + 2y − 5x − 6y

Answer: −11x − 4y

x terms: −6x − 5x = −11x
y terms: 2y − 6y = −4y

5.Simplify: 6x + 4y² − 3x − 5y²

Answer: 3x − y²

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

6.Simplify: −2x − 4y − 5x + 5y

Answer: −7x + y

x terms: −2x − 5x = −7x
y terms: −4y + 5y = y

7.Simplify: 8x − 2y − 5x − y

Answer: 3x − 3y

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

8.Simplify: −2x + 2y + x + 6y

Answer: −x + 8y

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

9.Simplify: −5x + 8y − 2x + 9y

Answer: −7x + 17y

x terms: −5x − 2x = −7x
y terms: 8y + 9y = 17y

10.Simplify: 8x − 3y² + 6x − 2y²

Answer: 14x − 5y²

x terms: 8x + 6x = 14x
y² terms: −3y² − 2y² = −5y²

11.Simplify: 3x + y² − 4x + 2y²

Answer: −x + 3y²

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

12.Simplify: −6x + 8y + 2x − 3y

Answer: −4x + 5y

x terms: −6x + 2x = −4x
y terms: 8y − 3y = 5y

13.Simplify: −x − 3y² − 6x − 2y²

Answer: −7x − 5y²

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

14.Simplify: 7x − 5y − 6x + 6y

Answer: x + y

x terms: 7x − 6x = x
y terms: −5y + 6y = y

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