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

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

1.Simplify: −3x − 5y − 5x + 7y

Answer: −8x + 2y

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

2.Simplify: 4x + y² − 3x − 2y²

Answer: x − y²

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

3.Simplify: 3x + y² + 7x + 9y²

Answer: 10x + 10y²

x terms: 3x + 7x = 10x
y² terms: y² + 9y² = 10y²

4.Simplify: 3x − 4y − x − 5y

Answer: 2x − 9y

x terms: 3x − x = 2x
y terms: −4y − 5y = −9y

5.Simplify: 3x − 3y − 4x + 4y

Answer: −x + y

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

6.Simplify: −5x + y + 5x − 6y

Answer: −5y

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

7.Simplify: 7x + 5y − 3x + y

Answer: 4x + 6y

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

8.Simplify: −6x + 5y + 6x + 2y

Answer: 7y

x terms: −6x + 6x = 0
y terms: 5y + 2y = 7y

9.Simplify: 7x − 5y + 6x + 4y

Answer: 13x − y

x terms: 7x + 6x = 13x
y terms: −5y + 4y = −y

10.Simplify: −6x + 4y² + 6x − 2y²

Answer: 2y²

x terms: −6x + 6x = 0
y² terms: 4y² − 2y² = 2y²

11.Simplify: −x − 2y − 6x − 5y

Answer: −7x − 7y

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

12.Simplify: −3x + 2y² − x + 4y²

Answer: −4x + 6y²

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

13.Simplify: −6x + 7y + 9x + 3y

Answer: 3x + 10y

x terms: −6x + 9x = 3x
y terms: 7y + 3y = 10y

14.Simplify: −2x − 4y² + 9x + 2y²

Answer: 7x − 2y²

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

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