Year 7 Simplifying Expressions (Like Terms) Worksheet — Level 3 — Practice Set 2 — Answers

Answer sheet with worked solutions for the Year 7 algebraic expressions worksheet.

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Year 7 Simplifying Expressions (Like Terms) Worksheet — Level 3 — Practice Set 2 — Answers

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

1.Simplify: −3x + 5y − 3x − 4y

Answer: −6x + y

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

2.Simplify: −x + 9y² + 5x − 6y²

Answer: 4x + 3y²

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

3.Simplify: −4x − y + x − 6y

Answer: −3x − 7y

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

4.Simplify: −x + 8y² − 2x − y²

Answer: −3x + 7y²

x terms: −x − 2x = −3x
y² terms: 8y² − y² = 7y²

5.Simplify: −x − 2y² + x − 2y²

Answer: −4y²

x terms: −x + x = 0
y² terms: −2y² − 2y² = −4y²

6.Simplify: −x − 6y² + 5x − y²

Answer: 4x − 7y²

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

7.Simplify: 7x − 6y + 6x + 9y

Answer: 13x + 3y

x terms: 7x + 6x = 13x
y terms: −6y + 9y = 3y

8.Simplify: −5x + 2y + 4x + 4y

Answer: −x + 6y

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

9.Simplify: 8x − 6y − 6x − y

Answer: 2x − 7y

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

10.Simplify: −5x − 2y − 5x + 2y

Answer: −10x

x terms: −5x − 5x = −10x
y terms: −2y + 2y = 0

11.Simplify: x − 6y² + 7x + 4y²

Answer: 8x − 2y²

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

12.Simplify: 6x + y² + 7x + 7y²

Answer: 13x + 8y²

x terms: 6x + 7x = 13x
y² terms: y² + 7y² = 8y²

13.Simplify: −x + y² − 5x − y²

Answer: −6x

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

14.Simplify: −6x + 9y² + 2x − 6y²

Answer: −4x + 3y²

x terms: −6x + 2x = −4x
y² terms: 9y² − 6y² = 3y²

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