Solving and Graphing Inequalities in Real Life Scenarios

1. Sarah has at least $50 to spend on books. If each book costs $12, how many books can she buy? Solve the inequality and graph it on a number line.

• 6

• 3

• 4

• 5

2. A school requires that students have no more than 3 tardies to participate in the field trip. If a student has x tardies, write the inequality and solve for x.

• x = 3

• x <= 3

• x < 3

• x >= 3

3. Tom is at least 5 years older than his sister. If his sister is x years old, write the inequality and determine the possible ages for Tom.

• T > x + 3

• T >= x + 5

• T = x + 5

• T < x + 5

4. A concert hall can hold a maximum of 200 people. If there are already 150 tickets sold, write an inequality to represent how many more tickets can be sold and graph it.

• x <= 50

• x = 150

• x < 50

• x >= 50

5. Lisa needs to score more than 75% on her math test to pass. If the test has 40 questions, how many questions must she answer correctly? Solve the inequality and graph it.

• 25

• 30

• 31

• 35

6. A recipe requires at least 2 cups of sugar. If you have x cups of sugar, write the inequality and determine how many more cups you need to buy if you have 1 cup.

• 1 cup

• 2 cups

• 0 cups

• 3 cups

8. The temperature must be above 32°F for rain to fall. If the current temperature is x°F, write the inequality and solve for x.

• x > 32

• x < 32

• x ≥ 32

• x = 32

9. A gym membership costs at least $30 per month. If you want to save money, how much can you spend on a membership? Write and solve the inequality.

• You can spend exactly $30 on a gym membership.

• You can spend less than $30 on a gym membership.

• You can spend more than $30 on a gym membership.

• You can spend $25 on a gym membership.

10. A farmer has at least 100 apples to sell. If he sells x apples, write the inequality to represent how many apples he has left and graph it.

• 100 - x >= 0 or x <= 100

• 100 - x <= 0

• x < 100

• 100 - x > 0