Exploring Inequalities: Graphing on a Number Line

1. Sarah has at least 5 apples. If she buys more, how many apples could she have? Graph the inequality on a number line.

• x < 5

• x = 5

• x > 5

• x >= 5

2. A box can hold no more than 12 toys. If there are already 7 toys in the box, how many more can be added? Show this on a number line.

• 3

• 5

• 8

• 10

3. Tom needs to score more than 75% on his test to pass. If he answers 20 questions, how many must he get right? Represent this on a number line.

• 14

• 18

• 16

• 20

4. A concert has tickets priced at less than $50. If you have $30, can you buy a ticket? Illustrate this on a number line.

• You can buy two tickets with $30.

• No, tickets are only available for $60.

• You need at least $50 to buy a ticket.

• Yes, you can buy a ticket.

5. The temperature must be above 20 degrees Celsius for the picnic to happen. If it is currently 15 degrees, how many degrees must it rise? Graph this on a number line.

• 10 degrees Celsius

• 5 degrees Celsius

• 8 degrees Celsius

• 3 degrees Celsius

6. A runner needs to complete the race in less than 30 minutes. If he has already run for 18 minutes, how much time does he have left? Show this on a number line.

• 10 minutes

• 15 minutes

• 20 minutes

• 12 minutes

7. A school requires students to read at least 10 books in a year. If a student has read 6 books, how many more does he need to read? Graph this on a number line.

• 5

• 2

• 4

• 8

8. A recipe calls for no more than 2 cups of sugar. If you have already added 1.5 cups, how much more can you add? Represent this on a number line.

• 0.5 cups

• 2 cups

• 1 cup

• 0 cups

9. A car can travel at speeds less than 60 miles per hour. If it is currently going 45 miles per hour, how much faster can it go? Illustrate this on a number line.

• 10 miles per hour

• 25 miles per hour

• 15 miles per hour

• 20 miles per hour

10. A student must score at least 85 points to get an A. If he has 70 points now, how many more does he need? Graph this on a number line.

• 25

• 20

• 10

• 15