12&13 Solving Linear Equation Word Problems

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Last Night's Homework

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Your parents have decided to buy a new Toyota 4Runner for $25,635. According to the dealer, the car will depreciate in value approximately $3,000 per year. Write and solve a linear equation to find how many years until the car is worth $3,135. Justify your reasoning.

You and your friends plan to attend the county fair this weekend. The admission to the fair is $5 and the cost per ride is $0.50. If your parents gave you $20, write and solve a linear equation to find how many rides your can go on. Justify your answer.

While your family is visiting Deep Creek Lake, you and your mother decide to go boating. The rangers charge $6.50 per hour in addition to a $25.00 deposit to rent a canoe. If you wish to rent the canoe from 12:30pm to 3:30pm, write and solve a linear equation to find the total cost to rent the canoe. Justify your reasoning.

You buy a car wash at the gas station for $5.00, where the cost per gallon is $3.10. If you only have $40, write and solve a linear equation to find the number of gallons you can afford. Justify your answer.

12&13 Solving Linear Equation Word Problems

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Sam ordered two tacos and three enchiladas for lunch at the restaurant. His bill came to $7.80. If enchiladas were $2.00 each, write and solve a linear equation to find the cost of each taco.

To surf the internet for 25 minutes at an Internet Cafe, it costs $7.25. For 40 minutes, it costs $9.80. Write and solve a linear equation to find the cost for surfing the web for one hour.

A company offers premium cable for $39.95 per month plus a one-time setup fee. The total cost for setup and six months of service was $264.70. Write and solve a linear equation to find the total cost for two years of service.

A home security company provides security systems for $5.00 per week, plus an installation fee. The total fee for 12 weeks of service is $210.00. Write and solve a linear equation to find the cost of the installation fee.

The Madison High School Marching Band sold gift wrap to earn money for a band trip. Solid color gift wrap sells for $4.00 per roll and printed gift wrap sells for $6.00 per roll. The band needs to earn $2340 for an upcoming competition. If the band sells 340 rolls of printed paper, write and solve a linear equation to find the number of solid paper they must sell.

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Tickets at a school play cost $4.00 in advance or $5.00 at the door. Total ticket sales for an evening production were $440. If no tickets were sold in advance, write and solve a linear equation to find how many tickets were sold at the door.

The value of a car decreases at a constant rate. After three years, the value of the car is $15,000. After two more years, the value of the car is $11,000. Write and solve a linear equation to find the value of the car after eight years.

Water boils at 100 degrees Celsius or 212 degrees Fahrenheit. Water freezes at 0 degrees Celsius or 32 degrees Fahrenheit. If the weather forecaster says it will be 25 degrees Celsius today, write and solve a linear equation to find what Fahrenhit temperature this is.

At Eagle Bay, it costs $10.00 per hour to rent a canoe. Nick and his friends rented a canoe for three hours and paid $45.00. Write and solve a linear equation to find the cost to rent the canoe for eight hours.

Jeff is keeping track of his weight over several weeks. After two weeks, he weighs 194 pounds. After six weeks, he weighs 186 pounds. Write and solve a linear equation to find Jeff's weight after 12 weeks.

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A construction company charges $15.00 per hour for debris removal, plus a one-time fee for the use of the trash dumpster. The total fee for nine hours of service was $195.00. Write and solve a linear equation to find the one-time fee for the trash dumpster.

Karen's piggy bank has all dimes and quarters. The total value of the money in her piggy bank is $11.40. If Karen has 36 quarters, write and solve a linear equation to find the number of dimes she has.

Customers of a satellite dish company must pay for installation of the dish and a monthly fee for service. After six months, Jack had paid $594. After 11 months, he had paid $989. Write and solve a linear equation to find the cost for the installment.

You are buying $48.00 worth of two types of lawn seed. Ryegrass lawn seed sells for $0.70 per pound and Fescue lawn seed sells for $1.15 per pound. If you bought 25 pounds of Fescue lawn seed, write and solve a linear equation to find the amount of Ryegrass lawn seed purchased.