Solving Real-Life Word Problems with Linear Equations

A store sells pencils for $0.50 each and erasers for $0.75 each. If a student buys a total of 10 items for $6.00, how many pencils and erasers did they buy?

• 5 pencils and 5 erasers

• 7 pencils and 3 erasers

• 6 pencils and 4 erasers

• 4 pencils and 6 erasers

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If a customer pays $35, how many miles did they drive?

• 50 miles

• 75 miles

• 120 miles

• 100 miles

A gardener is planting flowers in rows. If each row has 5 flowers and he wants to plant a total of 30 flowers, how many rows will he need?

• 8

• 7

• 6

• 5

A movie theater sells adult tickets for $12 and child tickets for $8. If a family buys 4 tickets for a total of $40, how many adult and child tickets did they purchase?

• 3 adult tickets and 1 child ticket

• 2 adult tickets and 2 child tickets

• 1 adult ticket and 3 child tickets

• 4 adult tickets and 0 child tickets

A school is organizing a field trip. The cost per student is $15, and there are 25 students going. What is the total cost for the trip?

• $300

• 375

• $500

• $450

A bike shop sells bikes for $200 each and helmets for $25 each. If a customer spends $450, how many bikes and helmets did they buy?

• 1 bike and 5 helmets

• 2 bikes and 2 helmets

• 0 bikes and 18 helmets

• 3 bikes and 1 helmet

A recipe requires 2 cups of flour for every 3 cups of sugar. If a baker uses 8 cups of sugar, how many cups of flour does he need?

• 3 cups of flour

• 6 cups of flour

• 4 cups of flour

• 5.33 cups of flour

A bookstore is having a sale where each book costs $10. If a customer buys 3 books and pays with a $50 bill, how much change will they receive?

• $25

• $20

• $15

• $30

A train travels at a speed of 60 miles per hour. How far will it travel in 2.5 hours?

• 120 miles

• 180 miles

• 200 miles

• 150 miles

A charity event sells tickets for $25 each. If they sell 150 tickets, how much money do they raise?

• 2500

• 3000

• 4000

• 3750