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 + 3y² + x + 8y²

Answer: −x + 11y²

x terms: −2x + x = −x
y² terms: 3y² + 8y² = 11y²

2.Simplify: 8x + 4y² + 9x − 6y²

Answer: 17x − 2y²

x terms: 8x + 9x = 17x
y² terms: 4y² − 6y² = −2y²

3.Simplify: 5x + 7y² − 3x + 8y²

Answer: 2x + 15y²

x terms: 5x − 3x = 2x
y² terms: 7y² + 8y² = 15y²

4.Simplify: 7x + 4y + 6x + 3y

Answer: 13x + 7y

x terms: 7x + 6x = 13x
y terms: 4y + 3y = 7y

5.Simplify: 2x − 4y² + 8x + 9y²

Answer: 10x + 5y²

x terms: 2x + 8x = 10x
y² terms: −4y² + 9y² = 5y²

6.Simplify: −x − 6y² − 4x + 6y²

Answer: −5x

x terms: −x − 4x = −5x
y² terms: −6y² + 6y² = 0

7.Simplify: 4x + y − 4x − 2y

Answer: −y

x terms: 4x − 4x = 0
y terms: y − 2y = −y

8.Simplify: 3x + 3y² + 3x − y²

Answer: 6x + 2y²

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

9.Simplify: −4x + 5y + 9x + y

Answer: 5x + 6y

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

10.Simplify: −x + 2y² − x + 3y²

Answer: −2x + 5y²

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

11.Simplify: 8x − 2y + 8x + 4y

Answer: 16x + 2y

x terms: 8x + 8x = 16x
y terms: −2y + 4y = 2y

12.Simplify: 9x + 3y² + 6x + 6y²

Answer: 15x + 9y²

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

13.Simplify: −2x + 8y² + 9x + 8y²

Answer: 7x + 16y²

x terms: −2x + 9x = 7x
y² terms: 8y² + 8y² = 16y²

14.Simplify: 9x − 3y − 3x + 4y

Answer: 6x + y

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

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