Real-Life Algebra: Crafting Equations from Scenarios

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. Write an equation to represent the total cost (C) for driving m miles. If a customer drives 150 miles, what is the total cost?

• $80

• $90

• $70

• $100

A store is having a sale where the price of a shirt is reduced by 25%. If the original price of the shirt is $32, write an equation to find the sale price (S) of the shirt. What is the sale price?

• $24

• $30

• $20

• $28

A rectangular garden has a length that is 3 meters longer than its width. If the width is represented by w, write an equation for the area (A) of the garden. If the area is 40 square meters, what are the dimensions of the garden?

• Width: 4 meters, Length: 7 meters

• Width: 6 meters, Length: 9 meters

• Width: 3 meters, Length: 6 meters

• Width: 5 meters, Length: 8 meters

A phone plan costs $30 per month plus $0.10 for each text message sent. Write an equation to represent the total cost (C) for sending t text messages. If a customer sends 200 messages, what is the total cost?

• $60

• $70

• $40

• $50

A swimming pool is being filled with water at a rate of 5 gallons per minute. Write an equation to represent the total volume (V) of water in gallons after t minutes. How much water is in the pool after 30 minutes?

• 75 gallons

• 200 gallons

• 100 gallons

• 150 gallons

A recipe requires 2 cups of flour for every 3 cups of sugar. Write an equation to represent the relationship between the cups of flour (f) and sugar (s). If you have 6 cups of sugar, how many cups of flour do you need?

• 3 cups of flour

• 6 cups of flour

• 2 cups of flour

• 4 cups of flour

A concert ticket costs $45, and there is a service fee of $5 per ticket. Write an equation to represent the total cost (C) for buying n tickets. If a person buys 4 tickets, what is the total cost?

• $180

• $225

• $150

• $200

A train travels at a speed of 60 miles per hour. Write an equation to represent the distance (D) traveled after t hours. How far does the train travel in 3 hours?

• 180 miles

• 90 miles

• 150 miles

• 240 miles

A local gym charges a monthly membership fee of $25 plus $10 for each class attended. Write an equation to represent the total cost (C) for attending c classes in a month. If a member attends 5 classes, what is the total cost?

• $50

• $100

• $60

• $75

A factory produces x toys per hour. If the factory operates for 8 hours a day, write an equation to represent the total number of toys (T) produced in one day. If the factory produces 50 toys per hour, how many toys are produced in a day?

• 500

• 300

• 400

• 600