Two-Step Equations Word Problems Quiz

Samantha has 5 more than twice the number of pencils as her friend. If Samantha has 13 pencils, write a two-step equation to represent this situation.

• 13 = 2x + 5

• x = 2(13) + 5

• 13 = 2x - 5

• 13 = 2x / 5

A store sells T-shirts for $12 each. If Maria bought 4 T-shirts, write a two-step equation to represent the total cost.

• 12-4=48

• 12*4=48

• 12+4=48

• 4*12=16

A rectangle has a length that is 3 more than twice its width. If the length is 15, write a two-step equation to represent this situation.

• 15 = 2w - 3

• 15 = w + 3

• 15 = 2w + 3

• 15 = 2w * 3

A car rental company charges $40 per day plus $0.25 per mile. Write a two-step equation to represent the total cost for renting a car for d days and driving m miles.

• Total Cost = 40d + 0.25m

• Total Cost = 40d / 0.25m

• Total Cost = 40d - 0.25m

• Total Cost = 40d * 0.25m

The sum of two consecutive even numbers is 34. Write a two-step equation to represent this situation.

• 2x - 2 = 34

• x + 2 = 34

• 2x + 2 = 68

• 2x + 2 = 34

A recipe calls for 2 cups of sugar and 3 cups of flour. Write a two-step equation to represent the total amount of ingredients needed to make 4 batches of the recipe.

• 2x + 3x = 8

• 2x + 3x = 10

• 2x + 3x = 20

• 2x - 3x = 20

A farmer has 100 feet of fencing to enclose a rectangular garden. Write a two-step equation to represent the area of the garden.

• A = 100x

• A = 2x(50 - x)

• A = x(50 - x)

• A = 50x - x^2

A bus company charges a $50 fee plus $0.75 per mile. Write a two-step equation to represent the total cost for a trip of d miles.

• Total cost = $50 - $0.75 * d

• Total cost = $50 / $0.75 * d

• Total cost = $50 + $0.75 + d

• Total cost = $50 + $0.75 * d

The sum of two consecutive odd numbers is 56. Write a two-step equation to represent this situation.

• 2x = 56

• x + (x - 2) = 56

• x + (x + 1) = 56

• x + (x + 2) = 56

A tank is being filled with water at a rate of 5 gallons per minute. Write a two-step equation to represent the total amount of water in the tank after t minutes.

• 10t

• t / 5

• 5t + 5

• 5t