Inequality Word Problems: Graphing & Translating

A store sells notebooks for $2 each. If you want to spend no more than $10, how many notebooks can you buy? Write an inequality to represent this situation and graph it on a number line.

• 10

• 7

• 3

• 5

Maria has at least 15 marbles. If she buys 3 more marbles, how many does she have now? Write an inequality to represent the situation and graph it on a number line.

• Maria has at least 12 marbles.

• Maria has at least 20 marbles.

• Maria has at least 15 marbles.

• Maria has at least 18 marbles.

A movie theater charges $8 for a ticket. If you have $50, how many tickets can you buy? Write an inequality and graph it on a number line.

• 8

• 6

• 7

• 5

Tom is at least 5 years older than his sister. If his sister is x years old, write an inequality to represent Tom's age and graph it on a number line.

• T ≥ x + 5

• T = x + 5

• T > x + 5

• T < x + 5

A recipe requires at most 4 cups of flour. If you already have 2 cups, how many more cups can you use? Write an inequality and graph it on a number line.

• You can use at most 3 more cups of flour.

• You can use an unlimited amount of flour.

• You can use at most 1 more cup of flour.

• You can use at most 2 more cups of flour.

A school has a limit of 200 students in a club. If there are currently 150 students, how many more can join? Write an inequality and graph it on a number line.

• 25

• 100

• 50

• 75

A car can travel at most 300 miles on a full tank. If it has already traveled 120 miles, how many more miles can it travel? Write an inequality and graph it on a number line.

• 180 miles

• 150 miles

• 250 miles

• 200 miles

Lily has $30 to spend on books. If each book costs $7, how many books can she buy? Write an inequality and graph it on a number line.

• 5

• 4

• 6

• 3

A box can hold no more than 50 toys. If there are already 30 toys in the box, how many more can fit? Write an inequality and graph it on a number line.

• 25

• 10

• 15

• 20

A runner needs to complete at least 5 miles each day for training. If she has already run 2 miles, how many more miles does she need to run? Write an inequality and graph it on a number line.

• 3

• 2

• 4

• 6