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: −4x + 8y + 3x − 6y

Answer: −x + 2y

x terms: −4x + 3x = −x
y terms: 8y − 6y = 2y

2.Simplify: 7x + y² + 2x − y²

Answer: 9x

x terms: 7x + 2x = 9x
y² terms: y² − y² = 0

3.Simplify: −2x − y² + 6x − y²

Answer: 4x − 2y²

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

4.Simplify: 2x − 6y + 7x + 9y

Answer: 9x + 3y

x terms: 2x + 7x = 9x
y terms: −6y + 9y = 3y

5.Simplify: 9x + 8y² + 4x + 3y²

Answer: 13x + 11y²

x terms: 9x + 4x = 13x
y² terms: 8y² + 3y² = 11y²

6.Simplify: 5x − 6y² + 6x − 4y²

Answer: 11x − 10y²

x terms: 5x + 6x = 11x
y² terms: −6y² − 4y² = −10y²

7.Simplify: −4x − 2y² + 8x + 9y²

Answer: 4x + 7y²

x terms: −4x + 8x = 4x
y² terms: −2y² + 9y² = 7y²

8.Simplify: −x − 4y² + 6x − 2y²

Answer: 5x − 6y²

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

9.Simplify: −4x + 2y² + x + 9y²

Answer: −3x + 11y²

x terms: −4x + x = −3x
y² terms: 2y² + 9y² = 11y²

10.Simplify: 6x − 4y² + 2x + 8y²

Answer: 8x + 4y²

x terms: 6x + 2x = 8x
y² terms: −4y² + 8y² = 4y²

11.Simplify: −x + 2y² − 6x + 4y²

Answer: −7x + 6y²

x terms: −x − 6x = −7x
y² terms: 2y² + 4y² = 6y²

12.Simplify: 7x − y² − 3x − 6y²

Answer: 4x − 7y²

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

13.Simplify: 6x − 2y² − 6x + y²

Answer: −y²

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

14.Simplify: 3x − 3y² − 5x + 9y²

Answer: −2x + 6y²

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

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