Year 9 Simplifying Expressions (Like Terms) Worksheet — Level 3 — Practice Set 4 — Answers

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Year 9 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: −2x − 5y + 5x − 6y

Answer: 3x − 11y

x terms: −2x + 5x = 3x
y terms: −5y − 6y = −11y

2.Simplify: 3x + 4y² + 8x + 8y²

Answer: 11x + 12y²

x terms: 3x + 8x = 11x
y² terms: 4y² + 8y² = 12y²

3.Simplify: x + 5y + 4x + 8y

Answer: 5x + 13y

x terms: x + 4x = 5x
y terms: 5y + 8y = 13y

4.Simplify: −6x + 2y² + 7x + 4y²

Answer: x + 6y²

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

5.Simplify: −6x − y − 4x + y

Answer: −10x

x terms: −6x − 4x = −10x
y terms: −y + y = 0

6.Simplify: 9x + 5y² − 5x + 5y²

Answer: 4x + 10y²

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

7.Simplify: 9x − 5y² − 5x + 8y²

Answer: 4x + 3y²

x terms: 9x − 5x = 4x
y² terms: −5y² + 8y² = 3y²

8.Simplify: 5x − 2y − 6x + 7y

Answer: −x + 5y

x terms: 5x − 6x = −x
y terms: −2y + 7y = 5y

9.Simplify: −3x − 5y + 7x − 6y

Answer: 4x − 11y

x terms: −3x + 7x = 4x
y terms: −5y − 6y = −11y

10.Simplify: 9x − 4y + 4x + 3y

Answer: 13x − y

x terms: 9x + 4x = 13x
y terms: −4y + 3y = −y

11.Simplify: 6x + 4y² + 3x + 9y²

Answer: 9x + 13y²

x terms: 6x + 3x = 9x
y² terms: 4y² + 9y² = 13y²

12.Simplify: 4x + 5y² − 6x + 9y²

Answer: −2x + 14y²

x terms: 4x − 6x = −2x
y² terms: 5y² + 9y² = 14y²

13.Simplify: 7x − 6y + 6x − 4y

Answer: 13x − 10y

x terms: 7x + 6x = 13x
y terms: −6y − 4y = −10y

14.Simplify: 5x + 5y + 4x − y

Answer: 9x + 4y

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

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