Year 7 Simplifying Expressions (Like Terms) Worksheet — Level 3 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 7 algebraic expressions worksheet.

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Year 7 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: 3x + 8y + 8x + 6y

Answer: 11x + 14y

x terms: 3x + 8x = 11x
y terms: 8y + 6y = 14y

2.Simplify: −5x − 2y² − 5x + 5y²

Answer: −10x + 3y²

x terms: −5x − 5x = −10x
y² terms: −2y² + 5y² = 3y²

3.Simplify: −x + 7y + 7x + 6y

Answer: 6x + 13y

x terms: −x + 7x = 6x
y terms: 7y + 6y = 13y

4.Simplify: 8x − 6y − 2x − 3y

Answer: 6x − 9y

x terms: 8x − 2x = 6x
y terms: −6y − 3y = −9y

5.Simplify: −2x − y + 2x + 9y

Answer: 8y

x terms: −2x + 2x = 0
y terms: −y + 9y = 8y

6.Simplify: −3x + 8y² − 2x + 5y²

Answer: −5x + 13y²

x terms: −3x − 2x = −5x
y² terms: 8y² + 5y² = 13y²

7.Simplify: 5x + 8y² − 5x − 5y²

Answer: 3y²

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

8.Simplify: −3x + 2y² − 5x + 5y²

Answer: −8x + 7y²

x terms: −3x − 5x = −8x
y² terms: 2y² + 5y² = 7y²

9.Simplify: 8x − 3y² − 4x − 6y²

Answer: 4x − 9y²

x terms: 8x − 4x = 4x
y² terms: −3y² − 6y² = −9y²

10.Simplify: 5x − 3y² + 5x + 2y²

Answer: 10x − y²

x terms: 5x + 5x = 10x
y² terms: −3y² + 2y² = −y²

11.Simplify: −x − 4y² + x − 4y²

Answer: −8y²

x terms: −x + x = 0
y² terms: −4y² − 4y² = −8y²

12.Simplify: 5x − 3y² + 3x + 4y²

Answer: 8x + y²

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

13.Simplify: 7x + 7y² + 6x − 2y²

Answer: 13x + 5y²

x terms: 7x + 6x = 13x
y² terms: 7y² − 2y² = 5y²

14.Simplify: 3x + y² − 5x + 3y²

Answer: −2x + 4y²

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

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