Year 8 Simplifying Expressions (Like Terms) Worksheet — Level 3 — Practice Set 4 — 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 4 — Answers

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

1.Simplify: −3x − 3y + x − 5y

Answer: −2x − 8y

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

2.Simplify: −6x − 4y − 2x + 9y

Answer: −8x + 5y

x terms: −6x − 2x = −8x
y terms: −4y + 9y = 5y

3.Simplify: −6x − 5y² − x + 5y²

Answer: −7x

x terms: −6x − x = −7x
y² terms: −5y² + 5y² = 0

4.Simplify: −6x + 5y + 4x + 6y

Answer: −2x + 11y

x terms: −6x + 4x = −2x
y terms: 5y + 6y = 11y

5.Simplify: 6x − 2y² − 3x + 6y²

Answer: 3x + 4y²

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

6.Simplify: x + 3y² − 2x − 6y²

Answer: −x − 3y²

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

7.Simplify: −2x + 9y + 8x − 4y

Answer: 6x + 5y

x terms: −2x + 8x = 6x
y terms: 9y − 4y = 5y

8.Simplify: 4x + 6y² + 2x + y²

Answer: 6x + 7y²

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

9.Simplify: 8x + 6y − 4x − y

Answer: 4x + 5y

x terms: 8x − 4x = 4x
y terms: 6y − y = 5y

10.Simplify: 9x − 2y − 5x + 8y

Answer: 4x + 6y

x terms: 9x − 5x = 4x
y terms: −2y + 8y = 6y

11.Simplify: −2x − 2y + 6x − 4y

Answer: 4x − 6y

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

12.Simplify: −5x − 6y − 3x + 6y

Answer: −8x

x terms: −5x − 3x = −8x
y terms: −6y + 6y = 0

13.Simplify: 6x − 4y² − 4x − 3y²

Answer: 2x − 7y²

x terms: 6x − 4x = 2x
y² terms: −4y² − 3y² = −7y²

14.Simplify: −6x + y² + 3x + 9y²

Answer: −3x + 10y²

x terms: −6x + 3x = −3x
y² terms: y² + 9y² = 10y²

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