Translating Real-Life Scenarios into Inequalities

A store sells pencils for $2 each and erasers for $3 each. If you buy the same number of pencils and erasers, how many can you buy if you have $12? Write an inequality to represent this situation.

• 5

• 4

• 3

• 2

Maria has $50 to spend on books. If each book costs $8, how many books can she buy? Write an inequality and solve for the number of books.

• 8

• 7

• 6

• 5

A car rental company charges a flat fee of $30 plus $0.20 per mile driven. If you want to spend no more than $60, how many miles can you drive? Write an inequality to represent this situation.

• 150 miles

• 75 miles

• 200 miles

• 100 miles

Tom is saving money to buy a video game that costs $45. He saves $5 each week. Write an inequality to show how many weeks it will take him to save enough money.

• w >= 9

• 5w < 45

• 5w <= 45

• 5w >= 45

A gym charges a monthly fee of $25 plus $5 for each class attended. If you want to spend no more than $75 in a month, how many classes can you attend? Write an inequality to represent this situation.

• 10

• 20

• 5

• 15

A farmer has 100 acres of land. He wants to plant corn and soybeans. If corn requires 2 acres per field and soybeans require 3 acres per field, write an inequality to represent the maximum number of fields he can plant if he wants to use all his land.

• 2x + 3y ≤ 100

• x + y ≤ 100

• 2x + 3y = 100

• 2x + 3y < 100

A concert hall has 200 seats. If tickets are sold for $15 each and the total revenue must be at least $2,000, write an inequality to find the minimum number of tickets that must be sold.

• 150

• 134

• 180

• 100

A school is planning a field trip. The cost per student is $10, and they want to keep the total cost under $500. Write an inequality to find the maximum number of students that can go on the trip.

• x < 60

• x < 40

• x < 30

• x < 50

A bakery sells cupcakes for $3 each and cookies for $2 each. If you want to spend no more than $30, write an inequality to represent the maximum number of cupcakes and cookies you can buy together.

• 3x + 2y ≤ 30

• 3x + 2y < 30

• 4x + 3y ≤ 30

• 2x + y ≤ 30

A video game costs $60. If you have $20 saved and plan to save $10 each week, write an inequality to determine how many weeks it will take to have enough money to buy the game.

• w <= 5

• w = 3

• w < 4

• w >= 4