Algebra 1: Solve 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 and spends $6.00, how many pencils and erasers did they buy?

• 6 pencils and 4 erasers

• 4 pencils and 6 erasers

• 7 pencils and 3 erasers

• 5 pencils and 5 erasers

Maria has twice as many marbles as John. If the total number of marbles they have together is 36, how many marbles does each person have?

• John has 15 marbles and Maria has 21 marbles.

• John has 12 marbles and Maria has 24 marbles.

• John has 10 marbles and Maria has 26 marbles.

• John has 18 marbles and Maria has 18 marbles.

A car rental company charges a flat fee of $20 plus $0.15 per mile driven. If a customer pays $50, how many miles did they drive?

• 250 miles

• 150 miles

• 100 miles

• 200 miles

A gardener is planting flowers in rows. If there are 5 rows and each row has the same number of flowers, and the total number of flowers is 45, how many flowers are in each row?

• 10

• 9

• 8

• 7

A movie theater sells adult tickets for $12 and child tickets for $8. If a family buys 3 adult tickets and 2 child tickets, how much do they spend in total?

• $48

• $60

• 52

• $40

Tom is 4 years older than his sister. If the sum of their ages is 28, how old is Tom?

• 20

• 16

• 12

• 18

A recipe requires 3 cups of flour for every 2 cups of sugar. If a baker uses 9 cups of flour, how many cups of sugar does he need?

• 4 cups of sugar

• 8 cups of sugar

• 10 cups of sugar

• 6 cups of sugar

A train travels at a speed of 60 miles per hour. How long will it take to travel 180 miles?

• 4 hours

• 3 hours

• 2 hours

• 5 hours

A school is planning a field trip and needs to rent buses. Each bus can hold 50 students. If there are 200 students going, how many buses are needed?

• 4

• 5

• 6

• 3

A bookstore is having a sale where all books are 20% off. If a book originally costs $25, what is the sale price?

• $20

• $18

• $22

• $15