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

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

1.Simplify: −x + 6y² − 2x + 2y²

Answer: −3x + 8y²

x terms: −x − 2x = −3x
y² terms: 6y² + 2y² = 8y²

2.Simplify: 5x − 6y − x − 5y

Answer: 4x − 11y

x terms: 5x − x = 4x
y terms: −6y − 5y = −11y

3.Simplify: 5x + 7y + 7x + 3y

Answer: 12x + 10y

x terms: 5x + 7x = 12x
y terms: 7y + 3y = 10y

4.Simplify: 6x + 6y + 8x + 4y

Answer: 14x + 10y

x terms: 6x + 8x = 14x
y terms: 6y + 4y = 10y

5.Simplify: −2x + 3y − 3x + 9y

Answer: −5x + 12y

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

6.Simplify: 8x + 7y² + 2x + 7y²

Answer: 10x + 14y²

x terms: 8x + 2x = 10x
y² terms: 7y² + 7y² = 14y²

7.Simplify: −6x − 6y − 4x + 2y

Answer: −10x − 4y

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

8.Simplify: −x + 2y² − 3x + y²

Answer: −4x + 3y²

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

9.Simplify: −x + 3y² + 8x + 5y²

Answer: 7x + 8y²

x terms: −x + 8x = 7x
y² terms: 3y² + 5y² = 8y²

10.Simplify: 4x + 9y² − x + 9y²

Answer: 3x + 18y²

x terms: 4x − x = 3x
y² terms: 9y² + 9y² = 18y²

11.Simplify: 2x − 4y² + 7x − y²

Answer: 9x − 5y²

x terms: 2x + 7x = 9x
y² terms: −4y² − y² = −5y²

12.Simplify: −6x + y − 4x + 9y

Answer: −10x + 10y

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

13.Simplify: 5x + 9y² − 3x + 6y²

Answer: 2x + 15y²

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

14.Simplify: −5x − 2y² − 6x − 4y²

Answer: −11x − 6y²

x terms: −5x − 6x = −11x
y² terms: −2y² − 4y² = −6y²

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