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

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

1.Simplify: 2x + y² − 3x + 6y²

Answer: −x + 7y²

x terms: 2x − 3x = −x
y² terms: y² + 6y² = 7y²

2.Simplify: −x + 3y² + 4x − 6y²

Answer: 3x − 3y²

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

3.Simplify: 2x + 8y − 5x + 4y

Answer: −3x + 12y

x terms: 2x − 5x = −3x
y terms: 8y + 4y = 12y

4.Simplify: 6x − 6y − 4x + y

Answer: 2x − 5y

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

5.Simplify: 2x + 2y + 2x + 2y

Answer: 4x + 4y

x terms: 2x + 2x = 4x
y terms: 2y + 2y = 4y

6.Simplify: x + 8y + 2x − 3y

Answer: 3x + 5y

x terms: x + 2x = 3x
y terms: 8y − 3y = 5y

7.Simplify: 5x + 9y² + 5x + y²

Answer: 10x + 10y²

x terms: 5x + 5x = 10x
y² terms: 9y² + y² = 10y²

8.Simplify: −6x + 7y² − 4x + 7y²

Answer: −10x + 14y²

x terms: −6x − 4x = −10x
y² terms: 7y² + 7y² = 14y²

9.Simplify: 8x − 5y² + 3x + 5y²

Answer: 11x

x terms: 8x + 3x = 11x
y² terms: −5y² + 5y² = 0

10.Simplify: 4x + 9y − 6x − 3y

Answer: −2x + 6y

x terms: 4x − 6x = −2x
y terms: 9y − 3y = 6y

11.Simplify: −2x + 5y² − 4x + 5y²

Answer: −6x + 10y²

x terms: −2x − 4x = −6x
y² terms: 5y² + 5y² = 10y²

12.Simplify: 9x + 4y² − 3x − 6y²

Answer: 6x − 2y²

x terms: 9x − 3x = 6x
y² terms: 4y² − 6y² = −2y²

13.Simplify: −4x + 8y² + 9x + 9y²

Answer: 5x + 17y²

x terms: −4x + 9x = 5x
y² terms: 8y² + 9y² = 17y²

14.Simplify: 8x + 4y² − 3x + 6y²

Answer: 5x + 10y²

x terms: 8x − 3x = 5x
y² terms: 4y² + 6y² = 10y²

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