Real-Life Linear Equations: Interpret & Check Solutions

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

• 6 pencils and 4 erasers

• 7 pencils and 3 erasers

• 4 pencils and 6 erasers

Maria has twice as many marbles as John. If the total number of marbles they have together is 30, how many marbles does each person have?

• John has 20 marbles and Maria has 10 marbles.

• John has 10 marbles and Maria has 20 marbles.

• John has 15 marbles and Maria has 15 marbles.

• John has 5 marbles and Maria has 25 marbles.

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?

• 75 miles

• 100 miles

• 120 miles

• 50 miles

A gardener is planting flowers in rows. If each row has 5 flowers and he plants a total of 40 flowers, how many rows did he plant?

• 10

• 5

• 6

• 8

Tom is 3 years older than his sister. If the sum of their ages is 27, how old is Tom?

• 15

• 21

• 18

• 12

A recipe requires 2 cups of flour for every 3 cups of sugar. If you have 6 cups of flour, how many cups of sugar do you need?

• 9 cups of sugar

• 6 cups of sugar

• 12 cups of sugar

• 3 cups of sugar

A movie theater sells tickets for $8 each. If a group of friends spent $56 on tickets, how many tickets did they buy?

• 5

• 7

• 6

• 8

A book costs $15, and a magazine costs $5. If a person buys a total of 8 items for $70, how many books and magazines did they buy?

• 1 book and 7 magazines

• 2 books and 6 magazines

• 4 books and 4 magazines

• 3 books and 5 magazines

A swimming pool is being filled with water. If it fills at a rate of 200 liters per hour, how long will it take to fill the pool if it holds 1,000 liters?

• 15 hours

• 5 hours

• 10 hours

• 2 hours

A school is organizing a field trip. If each bus can hold 40 students and there are 200 students going, how many buses are needed?

• 5

• 8

• 6

• 4