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: 9x − 5y + x − 2y

Answer: 10x − 7y

x terms: 9x + x = 10x
y terms: −5y − 2y = −7y

2.Simplify: −x + 7y² − 5x + y²

Answer: −6x + 8y²

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

3.Simplify: −2x + 7y − 4x − 6y

Answer: −6x + y

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

4.Simplify: 2x + y − x − 3y

Answer: x − 2y

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

5.Simplify: 6x − 2y² − 4x − 3y²

Answer: 2x − 5y²

x terms: 6x − 4x = 2x
y² terms: −2y² − 3y² = −5y²

6.Simplify: 7x + 4y² + 7x − 6y²

Answer: 14x − 2y²

x terms: 7x + 7x = 14x
y² terms: 4y² − 6y² = −2y²

7.Simplify: 4x − 5y − x + 4y

Answer: 3x − y

x terms: 4x − x = 3x
y terms: −5y + 4y = −y

8.Simplify: 8x + 7y² − 6x + 4y²

Answer: 2x + 11y²

x terms: 8x − 6x = 2x
y² terms: 7y² + 4y² = 11y²

9.Simplify: −4x − 2y − 6x + 9y

Answer: −10x + 7y

x terms: −4x − 6x = −10x
y terms: −2y + 9y = 7y

10.Simplify: 4x − y² + x + 7y²

Answer: 5x + 6y²

x terms: 4x + x = 5x
y² terms: −y² + 7y² = 6y²

11.Simplify: −x − 3y² − 4x + 9y²

Answer: −5x + 6y²

x terms: −x − 4x = −5x
y² terms: −3y² + 9y² = 6y²

12.Simplify: 4x − 2y − 3x + y

Answer: x − y

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

13.Simplify: 6x + 9y + 6x + y

Answer: 12x + 10y

x terms: 6x + 6x = 12x
y terms: 9y + y = 10y

14.Simplify: −5x − y − x − 2y

Answer: −6x − 3y

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

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