Algebra Expressions & Distributive Property Challenge

A store sells pencils for $2 each and erasers for $3 each. If you buy x pencils and y erasers, write an expression for the total cost. Identify the variables and constants.

• 2x + 2y

• 3x + 2y

• 2x + 4y

• 2x + 3y

Maria has 5 more than twice the number of books that John has. If John has b books, write an equation to represent the number of books Maria has. Identify the variables and constants.

• M = 2b - 5

• M = b + 5

• M = 3b - 5

• M = 2b + 5

A rectangle has a length that is 3 times its width. If the width is w, write an expression for the perimeter of the rectangle. Use the distributive property to simplify your expression.

• 4w

• 10w

• 6w

• 8w

Tom is 4 years older than twice the age of his sister. If his sister is a years old, write an equation to represent Tom's age. Identify the variables and constants.

• T = 3a + 2

• T = a + 4

• T = 2a + 4

• T = 2a - 4

A farmer has chickens and cows. If the number of chickens is c and the number of cows is 2c, write an expression for the total number of animals. Use the distributive property to simplify your expression.

• 4c

• 2c

• c

• 3c

The total number of apples and oranges in a basket is 30. If there are a apples, write an equation to find the number of oranges. Identify the variables and constants.

• o = 30 / a

• o = 30 * a

• o = 30 - a

• o = 30 + a

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If m represents the number of miles driven, write an expression for the total cost of renting the car. Identify the variables and constants.

• 50 + 0.10m

• 50 + 0.50m

• 50 + 0.20m

• 100 + 0.20m

In a class, the number of boys is twice the number of girls. If g represents the number of girls, write an expression for the total number of students in the class. Use the distributive property to simplify your expression.

• 3g

• 2g

• g

• 4g

A recipe requires 2 cups of flour for every 3 cups of sugar. If you want to make a batch with s cups of sugar, write an expression for the amount of flour needed. Identify the variables and constants.

• (3/2) * s

• s + 2

• (2/3) * s

• s - 2