Year 7 Simplifying Expressions (Like Terms) Worksheet — Level 3 — Practice Set 4 — Answers

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Year 7 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 + 4y² + 9x + y²

Answer: 6x + 5y²

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

2.Simplify: −x − y² − 6x − 5y²

Answer: −7x − 6y²

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

3.Simplify: 8x + y + 2x + 2y

Answer: 10x + 3y

x terms: 8x + 2x = 10x
y terms: y + 2y = 3y

4.Simplify: 7x − y² + 6x − 4y²

Answer: 13x − 5y²

x terms: 7x + 6x = 13x
y² terms: −y² − 4y² = −5y²

5.Simplify: 5x + 4y − 6x − 4y

Answer: −x

x terms: 5x − 6x = −x
y terms: 4y − 4y = 0

6.Simplify: −2x + 2y² + 5x + 7y²

Answer: 3x + 9y²

x terms: −2x + 5x = 3x
y² terms: 2y² + 7y² = 9y²

7.Simplify: 8x − 2y² + 3x + 4y²

Answer: 11x + 2y²

x terms: 8x + 3x = 11x
y² terms: −2y² + 4y² = 2y²

8.Simplify: −x − 6y + 4x + y

Answer: 3x − 5y

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

9.Simplify: 3x − 4y + 9x − 3y

Answer: 12x − 7y

x terms: 3x + 9x = 12x
y terms: −4y − 3y = −7y

10.Simplify: 3x − 5y² + 3x + 9y²

Answer: 6x + 4y²

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

11.Simplify: 2x + 2y + 3x − y

Answer: 5x + y

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

12.Simplify: 6x + 3y − 4x − y

Answer: 2x + 2y

x terms: 6x − 4x = 2x
y terms: 3y − y = 2y

13.Simplify: 8x − y + 7x − 4y

Answer: 15x − 5y

x terms: 8x + 7x = 15x
y terms: −y − 4y = −5y

14.Simplify: −6x − 3y² − 5x − y²

Answer: −11x − 4y²

x terms: −6x − 5x = −11x
y² terms: −3y² − y² = −4y²

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