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

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

1.Simplify: 2x + 8y² + 6x + 9y²

Answer: 8x + 17y²

x terms: 2x + 6x = 8x
y² terms: 8y² + 9y² = 17y²

2.Simplify: −5x − y² + 2x + 8y²

Answer: −3x + 7y²

x terms: −5x + 2x = −3x
y² terms: −y² + 8y² = 7y²

3.Simplify: 9x + 3y − x + 6y

Answer: 8x + 9y

x terms: 9x − x = 8x
y terms: 3y + 6y = 9y

4.Simplify: −5x + 8y + 9x − 4y

Answer: 4x + 4y

x terms: −5x + 9x = 4x
y terms: 8y − 4y = 4y

5.Simplify: −2x − 5y − 5x + 7y

Answer: −7x + 2y

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

6.Simplify: −6x − 2y − 3x + 2y

Answer: −9x

x terms: −6x − 3x = −9x
y terms: −2y + 2y = 0

7.Simplify: 6x + 5y² + 5x + 7y²

Answer: 11x + 12y²

x terms: 6x + 5x = 11x
y² terms: 5y² + 7y² = 12y²

8.Simplify: −x + 7y² − 5x + 7y²

Answer: −6x + 14y²

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

9.Simplify: 5x + 5y² + 5x + 2y²

Answer: 10x + 7y²

x terms: 5x + 5x = 10x
y² terms: 5y² + 2y² = 7y²

10.Simplify: −3x − 6y + 9x + 5y

Answer: 6x − y

x terms: −3x + 9x = 6x
y terms: −6y + 5y = −y

11.Simplify: −3x + 4y² + 5x − 4y²

Answer: 2x

x terms: −3x + 5x = 2x
y² terms: 4y² − 4y² = 0

12.Simplify: 3x + y + 9x − 3y

Answer: 12x − 2y

x terms: 3x + 9x = 12x
y terms: y − 3y = −2y

13.Simplify: 6x − 5y + 7x + 6y

Answer: 13x + y

x terms: 6x + 7x = 13x
y terms: −5y + 6y = y

14.Simplify: −2x + 6y² − 3x + 6y²

Answer: −5x + 12y²

x terms: −2x − 3x = −5x
y² terms: 6y² + 6y² = 12y²

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