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

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

1.Simplify: −2x − 2y² + 5x − 4y²

Answer: 3x − 6y²

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

2.Simplify: 3x − 4y + 7x − 2y

Answer: 10x − 6y

x terms: 3x + 7x = 10x
y terms: −4y − 2y = −6y

3.Simplify: x + 2y² + 9x + 2y²

Answer: 10x + 4y²

x terms: x + 9x = 10x
y² terms: 2y² + 2y² = 4y²

4.Simplify: −x + 7y² + 9x − 6y²

Answer: 8x + y²

x terms: −x + 9x = 8x
y² terms: 7y² − 6y² = y²

5.Simplify: x + 6y − x + 5y

Answer: 11y

x terms: x − x = 0
y terms: 6y + 5y = 11y

6.Simplify: 3x + 3y − 5x + 9y

Answer: −2x + 12y

x terms: 3x − 5x = −2x
y terms: 3y + 9y = 12y

7.Simplify: −3x − y² + 5x + 6y²

Answer: 2x + 5y²

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

8.Simplify: −4x − 6y − 2x − 2y

Answer: −6x − 8y

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

9.Simplify: 2x + 2y + 6x + y

Answer: 8x + 3y

x terms: 2x + 6x = 8x
y terms: 2y + y = 3y

10.Simplify: 5x + 5y + 3x + 6y

Answer: 8x + 11y

x terms: 5x + 3x = 8x
y terms: 5y + 6y = 11y

11.Simplify: −x + 8y² − x + 5y²

Answer: −2x + 13y²

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

12.Simplify: 5x + 2y² + 4x + 9y²

Answer: 9x + 11y²

x terms: 5x + 4x = 9x
y² terms: 2y² + 9y² = 11y²

13.Simplify: −4x + y − 2x + 9y

Answer: −6x + 10y

x terms: −4x − 2x = −6x
y terms: y + 9y = 10y

14.Simplify: 4x + y² + 2x + 2y²

Answer: 6x + 3y²

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

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