Translating Real-Life Scenarios to Inequalities

1. Sarah has at least 3 times as many marbles as Tom. If Tom has x marbles, write an inequality to represent the situation. What is the minimum number of marbles Sarah can have if Tom has 5 marbles?

• 10

• 12

• 15

• 20

2. A store sells notebooks for $2 each. If you want to spend no more than $20, write an inequality to represent the maximum number of notebooks you can buy. How many notebooks can you buy?

• 12

• 10

• 15

• 5

3. A recipe requires at least 4 cups of flour. If you have y cups of flour, write an inequality to express this situation. If you have 10 cups, how many more can you use?

• 8

• 6

• 12

• 2

4. A car can travel at a speed of at least 60 miles per hour. If you want to reach your destination in no more than 3 hours, write an inequality to find the minimum distance you can travel. What is that distance?

• 120 miles

• 180 miles

• 200 miles

• 150 miles

6. A box can hold no more than 15 pounds of apples. If each apple weighs p pounds, write an inequality to represent the maximum number of apples you can put in the box. If each apple weighs 0.5 pounds, how many can you fit?

• 20

• 10

• 30

• 25

7. A student must read at least 5 books this semester. If they have already read b books, write an inequality to show how many more they need to read. If they have read 3 books, how many more do they need?

• 4

• 2

• 1

• 3

8. A movie theater has a seating capacity of at least 100 people. If each ticket costs $10, write an inequality to represent the minimum revenue if the theater is full. What is the revenue if 80 tickets are sold?

• The minimum revenue if the theater is full is at least $500, and the revenue if 80 tickets are sold is $600.

• The minimum revenue if the theater is full is at least $1000, and the revenue if 80 tickets are sold is $800.

• The minimum revenue if the theater is full is at least $1200, and the revenue if 80 tickets are sold is $1000.

• The minimum revenue if the theater is full is at least $1500, and the revenue if 80 tickets are sold is $900.

9. A runner must complete at least 15 miles a week to train effectively. If they have already run r miles, write an inequality to show how many more miles they need to run. If they have run 10 miles, how many more do they need?

• 3

• 5

• 12

• 7

10. A school needs at least 200 pencils for the new semester. If they currently have p pencils, write an inequality to represent how many more they need to buy. If they have 150 pencils, how many more do they need?

• 100

• 50

• 30

• 70