Year 8 Simplifying Expressions (Like Terms) Worksheet — Level 3 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 8 algebraic expressions worksheet.

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Year 8 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: 7x + 3y + 6x − 3y

Answer: 13x

x terms: 7x + 6x = 13x
y terms: 3y − 3y = 0

2.Simplify: 7x + 2y² − x + 9y²

Answer: 6x + 11y²

x terms: 7x − x = 6x
y² terms: 2y² + 9y² = 11y²

3.Simplify: 6x + 3y² + 9x + 2y²

Answer: 15x + 5y²

x terms: 6x + 9x = 15x
y² terms: 3y² + 2y² = 5y²

4.Simplify: 3x + 2y² + 7x + y²

Answer: 10x + 3y²

x terms: 3x + 7x = 10x
y² terms: 2y² + y² = 3y²

5.Simplify: −6x − 3y² − x − 4y²

Answer: −7x − 7y²

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

6.Simplify: −3x + 2y² − 5x − 4y²

Answer: −8x − 2y²

x terms: −3x − 5x = −8x
y² terms: 2y² − 4y² = −2y²

7.Simplify: −3x + 5y² + 4x − y²

Answer: x + 4y²

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

8.Simplify: −6x − 3y² − 3x + 2y²

Answer: −9x − y²

x terms: −6x − 3x = −9x
y² terms: −3y² + 2y² = −y²

9.Simplify: −5x + 5y − 5x + 3y

Answer: −10x + 8y

x terms: −5x − 5x = −10x
y terms: 5y + 3y = 8y

10.Simplify: −4x − 5y + x + 4y

Answer: −3x − y

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

11.Simplify: −3x + y² + 9x + 2y²

Answer: 6x + 3y²

x terms: −3x + 9x = 6x
y² terms: y² + 2y² = 3y²

12.Simplify: 4x + 3y − x − 3y

Answer: 3x

x terms: 4x − x = 3x
y terms: 3y − 3y = 0

13.Simplify: −3x + 9y² + 5x + y²

Answer: 2x + 10y²

x terms: −3x + 5x = 2x
y² terms: 9y² + y² = 10y²

14.Simplify: x + 3y − 3x + 3y

Answer: −2x + 6y

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

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