8th Grade Quiz: Solving Equations & Interpreting Solutions

A store sells pencils for $0.50 each. If you buy x pencils and spend $10, how many pencils did you buy? Interpret your solution.

• 20

• 25

• 15

• 10

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If you spent a total of $50, how many miles did you drive? Check for extraneous solutions.

• 80 miles

• 100 miles

• 120 miles

• 50 miles

Maria has twice as many apples as John. If John has x apples and together they have 30 apples, how many apples does each person have? Interpret your solution.

• John has 15 apples and Maria has 15 apples.

• John has 12 apples and Maria has 18 apples.

• John has 5 apples and Maria has 25 apples.

• John has 10 apples and Maria has 20 apples.

A movie theater sells tickets for $12 each. If a group of friends buys y tickets and spends $72, how many tickets did they buy? Check for extraneous solutions.

• 10

• 8

• 6

• 4

The perimeter of a rectangle is 50 meters. If the length is 5 meters more than the width, what are the dimensions of the rectangle? Interpret your solution.

• Width: 8 meters, Length: 17 meters

• Width: 5 meters, Length: 20 meters

• Width: 10 meters, Length: 15 meters

• Width: 12 meters, Length: 18 meters

A school is planning a field trip and needs to raise $500. If each student contributes x dollars and there are 25 students, how much does each student need to contribute? Check for extraneous solutions.

• 20

• 15

• 10

• 25

A gardener has a total of 60 flowers, which are either roses or tulips. If the number of roses is represented by r and the number of tulips by t, and r + t = 60, how many of each type of flower does the gardener have if there are 20 more roses than tulips? Interpret your solution.

• Roses: 40, Tulips: 20

• Roses: 30, Tulips: 30

• Roses: 50, Tulips: 10

• Roses: 25, Tulips: 35

A bike rental shop charges a $15 fee plus $5 per hour. If you paid a total of $45, how many hours did you rent the bike? Check for extraneous solutions.

• 6 hours

• 4 hours

• 8 hours

• 10 hours

A recipe requires 3 cups of flour for every 2 cups of sugar. If you have x cups of flour and want to maintain the same ratio, how many cups of sugar do you need? Interpret your solution.

• (2/3)x

• (3/2)x

• (1/2)x

• (4/3)x

A swimming pool can be filled in 4 hours by one hose and in 6 hours by another hose. If both hoses are used together, how long will it take to fill the pool? Check for extraneous solutions.

• 1.5 hours

• 3 hours

• 2.4 hours

• 5 hours