Real-Life Linear Equations: Interpret and Check Solutions

A store sells pencils for $0.50 each. If you buy x pencils and spend $6, how many pencils did you buy? Interpret your solution in the context of the problem.

• 8

• 12

• 10

• 15

Maria has $20. She spends $x on a book and $5 on a snack. Write an equation to find out how much she spent on the book. Check your solution by calculating her remaining money.

• 15

• 0

• 25

• 10

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If you paid $50, how many miles did you drive? Interpret your solution in the context of the problem.

• 80 miles

• 100 miles

• 50 miles

• 120 miles

Tom is three times as old as his sister. If the sum of their ages is 32, how old is Tom? Check your solution by adding their ages together.

• 28

• 16

• 20

• 24

A recipe requires 2 cups of flour for every 3 cups of sugar. If you have 5 cups of sugar, how many cups of flour do you need? Write and solve the equation, then interpret your solution.

• 5 cups of flour

• 3.33 cups of flour

• 4 cups of flour

• 2 cups of flour

A concert ticket costs $15. If you buy x tickets and spend $75, how many tickets did you buy? Check your solution by multiplying the number of tickets by the ticket price.

• 3

• 6

• 5

• 4

A gardener has a total of 60 plants, which are either roses or tulips. If the number of roses is x and the number of tulips is 60 - x, how many roses does the gardener have if there are 30 tulips? Interpret your solution in the context of the problem.

• 20

• 50

• 30

• 40

A swimming pool is being filled with water at a rate of 5 gallons per minute. If it takes 30 minutes to fill the pool, how many gallons of water does the pool hold? Write and solve the equation, then check your solution.

• 200 gallons

• 100 gallons

• 150 gallons

• 75 gallons

A book costs $12. If you buy x books and spend $60, how many books did you buy? Interpret your solution in the context of the problem and check your answer by multiplying the number of books by the price.

• 7

• 3

• 5

• 10

A train travels at a speed of 60 miles per hour. If it takes x hours to reach its destination and the total distance is 240 miles, how long did the journey take? Check your solution by calculating the distance.

• 4 hours

• 6 hours

• 5 hours

• 3 hours