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 + 7y² + 3x − 4y²

Answer: 6x + 3y²

x terms: 3x + 3x = 6x
y² terms: 7y² − 4y² = 3y²

2.Simplify: 7x − 2y² + 7x − 2y²

Answer: 14x − 4y²

x terms: 7x + 7x = 14x
y² terms: −2y² − 2y² = −4y²

3.Simplify: 2x + 7y + 3x − 5y

Answer: 5x + 2y

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

4.Simplify: 4x − 3y² + 2x + 5y²

Answer: 6x + 2y²

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

5.Simplify: 8x + y − x − 5y

Answer: 7x − 4y

x terms: 8x − x = 7x
y terms: y − 5y = −4y

6.Simplify: 3x + 2y + 2x + 9y

Answer: 5x + 11y

x terms: 3x + 2x = 5x
y terms: 2y + 9y = 11y

7.Simplify: −3x + 9y + x − 2y

Answer: −2x + 7y

x terms: −3x + x = −2x
y terms: 9y − 2y = 7y

8.Simplify: 9x + 7y² + 2x + 8y²

Answer: 11x + 15y²

x terms: 9x + 2x = 11x
y² terms: 7y² + 8y² = 15y²

9.Simplify: 2x + 5y − 5x − 2y

Answer: −3x + 3y

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

10.Simplify: −6x − 4y² + 5x + 9y²

Answer: −x + 5y²

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

11.Simplify: 2x − 3y² + 7x + y²

Answer: 9x − 2y²

x terms: 2x + 7x = 9x
y² terms: −3y² + y² = −2y²

12.Simplify: 7x + 3y + 8x + 9y

Answer: 15x + 12y

x terms: 7x + 8x = 15x
y terms: 3y + 9y = 12y

13.Simplify: 8x + 7y − x − 2y

Answer: 7x + 5y

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

14.Simplify: 8x − 5y + 7x + 4y

Answer: 15x − y

x terms: 8x + 7x = 15x
y terms: −5y + 4y = −y

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