Algebraic Expressions: Simplifying and Translating Word Problems

A store sells x apples for $2 each. If you buy 3 apples, how much do you spend? Simplify the expression for the total cost.

• $8

• $4

• $6

• $10

Maria has y marbles. She gives 5 marbles to her friend. Write an expression for the number of marbles Maria has left and simplify it.

• y + 5

• y - 10

• y - 5

• 5 - y

A recipe requires 2x cups of flour. If you want to make half the recipe, how much flour do you need? Simplify your answer.

• x/2

• 2x

• 3x

• x

A car travels x miles in 2 hours. Write an expression for the speed of the car in miles per hour and simplify it.

• x miles per hour

• x/2 miles per hour

• 2x miles per hour

• x/4 miles per hour

Tom has 4x + 8 candies. He eats 2 candies. Write and simplify the expression for the number of candies he has left.

• 2x + 6

• 4x + 8

• 4x + 10

• 4x + 6

A rectangle has a length of 3x + 5 and a width of x + 2. Write an expression for the perimeter and simplify it.

• 4x + 12

• 6x + 10

• 10x + 14

• 8x + 14

The total cost of y notebooks is $3y. If you buy 4 notebooks, how much do you spend? Simplify the expression for the total cost.

• $10

• $15

• $12

• $8

A garden has x flowers and y plants. Write an expression for the total number of plants and flowers, then simplify it.

• x * y

• x - y

• x + y

• x / y

A box can hold 2x + 3 toys. If you put in 4 toys, how many toys can still fit? Write and simplify the expression.

• 2x + 3

• 2x + 1

• 2x - 3

• 2x - 1

A school has 5x + 10 students. If 3 students leave, write an expression for the remaining students and simplify it.

• 5x + 3

• 5x + 7

• 5x + 13

• 5x + 10