Word Problems

Name: Write an equation to represent each scenario.

Date:

1. The dance club is raising money so it can go to a competition next month. It has $80 already and it’s raising more by selling tickets to one of its own shows this weekend. It makes $5 per ticket. Create an equation representing how much money it will have after the show.

2. When small bands play concerts, they often get paid two ways. First, they get a fee for coming. Second, they also get paid a portion of the ticket sales, which means they get paid more if more people come. Let’s say a local band gets a fee of $50 as well as $2 for every ticket sold. Construct a linear function to represent how much the band gets paid.

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3. The best deal for bowling is on Tuesday, so you and three friends decide to go. A night of bowling costs $3 for a pair of shoes plus $1.50 each per game. Write an equation representing how much you’ll each pay based on how many games you play.

4. A shipping company specializing in big items, like couches and cars, charges a $99 handling fee plus $0.32 per pound. Write an equation representing the total cost to ship an item based on its weight.

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5. For people who download a lot of music, JetSteam lets you pay just $0.25 per song... but there’s a catch. You also need to pay a monthly fee of $20. Write an equation representing how much you could pay to JetStream each month.

6. A club at school decided to help the homeless this year. Last month, the club got people to donate 879 blankets it can give to homeless people and families who need to stay warm. It gives about 150 blankets away each week. Write an equation modeling how many blankets it will have left over time.

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7. You’re tracking a submarine that’s 480 feet underwater. It needs to surface, so it rises at a rate of 40 feet per minute. Construct a linear function representing the position of the submarine over time.

8. Phone batteries usually last for a whole day when the phone is new, but the battery weakens over time. Phones a year or two old may lose their charge at a rate of 18% per hour. Presuming a phone like this starts with a full battery, write an equation to represent how much charge it has left over time.

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9. It’s hard for some businesses to accept credit cards instead of just cash. That’s because credit card companies charge the business each time a customer uses a credit card to pay. Most credit card companies charge about ten cents per sale plus 2% of the total. (If someone buys 3 items that cost $4, it would count as one sale totaling $12.) Imagine you own a business. Create a linear function representing how much a credit card company would charge you per sale.

10. Steve is helping his aunt and uncle get ready for a barbeque. He’s making the biscuits. They need 15 biscuits to start, plus another 5 for each house in the neighborhood. Write an equation representing how many biscuits he should make.

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