Equations from word problems

Multiple Choice

The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value?

• 15x + 2.5 = 10x + 3

• 15 - 2.5 x = 10 - 3x

• 15 + 2.5x = 10 + 3x

• 15 - 10 = 2.5x + 3x

Multiple Choice

WRITE AN EQUATION

You bought a magazine for $5 and four

erasers. You spent a total of $25. Write a 2-step equation to find the cost of one eraser.

• 5 + 4x = 25

• 5x + 4 = 25

• 5 + 4 = 25x

• 5 + 4x = 25x

Multiple Choice

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal? 

• 150x + 24 = 180x + 20

• 24x -150 = 20x + 180

• 150 + 24x = 180 + 20x

Multiple Choice

Juan decided to join a gym to get in shape for football. He has two payment options. Option A is to buy a membership card and pay $2 each time he goes to the gym. Option B is to pay $4 each time he goes. A membership card costs $30. After how many times, t, will the cost of Option A be equal to the cost of Option B

• 30t + 2 = 4

  t = 1/15

• 30 + 2t = 4t

  t= 15

Multiple Choice

A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. Write an equation to show the number of miles needed for the companies to charge the same amount.

• 30x - 0.15x = 36(.10)

• 30x -0.15 = 36x - 0.10

• 30 + 0.15x = 36 + 0.10x

• 30(0.15) = 36x -0.10