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: 4x + y − 6x + 7y

Answer: −2x + 8y

x terms: 4x − 6x = −2x
y terms: y + 7y = 8y

2.Simplify: −4x + y² + 3x − 2y²

Answer: −x − y²

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

3.Simplify: −3x + 3y + 9x + 3y

Answer: 6x + 6y

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

4.Simplify: −4x − y² + 3x + 8y²

Answer: −x + 7y²

x terms: −4x + 3x = −x
y² terms: −y² + 8y² = 7y²

5.Simplify: 7x − 5y + 5x + 6y

Answer: 12x + y

x terms: 7x + 5x = 12x
y terms: −5y + 6y = y

6.Simplify: 7x + 8y² − 2x + 6y²

Answer: 5x + 14y²

x terms: 7x − 2x = 5x
y² terms: 8y² + 6y² = 14y²

7.Simplify: 5x − 2y² + 7x + 2y²

Answer: 12x

x terms: 5x + 7x = 12x
y² terms: −2y² + 2y² = 0

8.Simplify: 6x + 2y² + 9x − 5y²

Answer: 15x − 3y²

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

9.Simplify: 8x + 9y + 5x + 7y

Answer: 13x + 16y

x terms: 8x + 5x = 13x
y terms: 9y + 7y = 16y

10.Simplify: 6x + 7y + 2x + 9y

Answer: 8x + 16y

x terms: 6x + 2x = 8x
y terms: 7y + 9y = 16y

11.Simplify: 6x + 9y² + 2x + 7y²

Answer: 8x + 16y²

x terms: 6x + 2x = 8x
y² terms: 9y² + 7y² = 16y²

12.Simplify: x − 6y − 3x − y

Answer: −2x − 7y

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

13.Simplify: 7x + 7y + 4x + 2y

Answer: 11x + 9y

x terms: 7x + 4x = 11x
y terms: 7y + 2y = 9y

14.Simplify: −x + 9y² − 3x + y²

Answer: −4x + 10y²

x terms: −x − 3x = −4x
y² terms: 9y² + y² = 10y²

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