Equations to Word Problems

Samuel has to spend at least $35 on movie rentals and snacks for the weekend in order to win free tickets to the movies. He spends $12 on popcorn and soda. If the movie store rents DVDs for $4 each, which inequality models n, the number of DVDs Samuel has to rent?

• 4n – 12 < 35

• 12n+4 < 12

• 35 – 4n > 12

• 4n + 12 > 35

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 - 2.5x = 10 - 3x

• 15 + 2.5x = 10 + 3x

• 15 - 10 = 2.5x + 3x

Ms. Campos has no more than $5000 for their vacation. Her expenses consisted of $2300 for travel cost and $120 per day for hotel and other expenses. Which inequality will determine the amount of days Ms. Campos can stay on vacation?

• 2300 + 120x < 5000

• 2300 – 120x > 5000

• 2300 + 120x < 5000

• 2300 – 120x > 5000

Hotdog hut sells hotdogs for $4 each. For $15 per month, you can purchase a discount card which makes the hotdogs $2 each. Which inequality below could be used to find how many hotdogs (h) you would need to eat in a month to make the discount card a good deal?

• 4h > 15 + 2h

• 4h > 15h + 2

• 4h < 15 + 2h

• 4h < 15h + 2

Brenda's gym charged $10 fee to join plus $29 per month. She calculated that the gym has cost her a total of $155 since she joined. Which equation could be used to determine the number of months(m) Brenda has been going to the gym?

• 10m + 29 = 155

• 10 + 29 = 155m

• 10 + 29m = 155

• m + 29 = 155 - 10

At Joe's Clown Car Rental Agency, renting a car costs $35 plus $0.75 for every mile it is driven.  What is an equation that can be used to find the number of miles, m, a vehicle was driven, if the total rental charge was $222.50?

• 222.5 = m(35 + 0.75)

• 222.5 = 35 + 0.75m

• 222.5 = 0.75 + 35m

• 222.5 = 0.75(m + 35)

A delivery person uses a service elevator to bring boxes of books up to an office. The delivery person weighs 160 lbs and each box of books weighs 50 lbs. The maximum capacity of the elevator is 1000 lbs. How many boxes of books can the delivery person bring up at one time?

• 50x + 160 = 1000

• 50 + 160x = 1000

• 50x - 160 = 1000

• 50 - 160x = 1000

Two college friends rent an apartment. They have to pay the landlord two months rent and a $500 security deposit when they sign the lease. The total amount they pay the landlord is $2800. What is the rent for one month.

• 500 + 2x = 2800

• 500 - 2x = 2800

• 2x - 500 = 2800

• 2800 - 500 = x

A bowling league requires you to buy a bowling ball for $45 and pay $12 for each game. If you spent $117 total how many games did you play?

• 12x - 45 = 117

• 117 + 12x = -45

• 12x + 45 = 117

Anna started a dog walking business. So far she has $117. She spent $45 on supplies and charges $12 per hour. How many hours has she worked so far?

• 12x - 45 = 117

• 117 + 12x = -45

• 12x + 45 = 117