Solving Real-Life Rational Equations for 8th Graders

A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer pays $70, how many miles did they drive? Solve the equation and interpret the result.

• 100 miles

• 150 miles

• 200 miles

• 50 miles

A tank can be filled by two pipes. Pipe A can fill the tank in 4 hours, while Pipe B can fill it in 6 hours. How long will it take to fill the tank if both pipes are open? Set up and solve the rational equation.

• 3 hours

• 1.5 hours

• 5 hours

• 2.4 hours

A recipe requires 3/4 cup of sugar for every 2 cups of flour. If you want to use 5 cups of flour, how much sugar do you need? Write and solve the rational equation to find the answer.

• 1.5 cups of sugar

• 1.875 cups of sugar

• 3 cups of sugar

• 2.5 cups of sugar

A swimming pool is being filled with water. The pool can hold 1200 gallons, and it is currently filled with 300 gallons. If water is added at a rate of 15 gallons per minute, how long will it take to fill the pool? Solve the equation and interpret the result.

• 60 minutes

• 90 minutes

• 45 minutes

• 30 minutes

A store sells pencils for $0.50 each and erasers for $0.75 each. If a student buys a total of 10 items and spends $6.00, how many pencils and erasers did they buy? Set up and solve the rational equations to find the quantities.

• 6 pencils and 4 erasers

• 4 pencils and 6 erasers

• 5 pencils and 5 erasers

• 7 pencils and 3 erasers

A cyclist travels at a speed of 12 miles per hour. If they ride for 1.5 hours, how far do they travel? Write a rational equation to represent the situation and solve it.

• 18 miles

• 6 miles

• 24 miles

• 12 miles

A recipe calls for 2/3 cup of oil for every 1/2 cup of vinegar. If you want to make a larger batch using 3 cups of vinegar, how much oil do you need? Set up and solve the rational equation.

• 3 cups of oil

• 2 cups of oil

• 4 cups of oil

• 5 cups of oil

A water tank is being drained at a rate of 10 gallons per hour. If the tank initially holds 200 gallons, how long will it take to empty the tank? Write and solve the rational equation to find the time.

• 30 hours

• 15 hours

• 20 hours

• 25 hours

A gardener is planting flowers in rows. If each row can hold 15 flowers and the gardener has 120 flowers, how many rows will they need? Set up and solve the rational equation to find the number of rows.

• 12

• 10

• 8

• 6

A train travels 60 miles in 1.5 hours. If it continues at the same speed, how far will it travel in 4 hours? Write a rational equation to represent the situation and solve it.

• 160 miles

• 200 miles

• 80 miles

• 120 miles