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.

• 4

• 3

• 5

• 6

2. A school is planning a field trip and needs to collect at least $300 from students. If each student pays $15, how many students need to participate? Write the inequality and represent it on a number line.

• At least 30 students need to participate.

• At least 15 students need to participate.

• At least 20 students need to participate.

• At least 25 students need to participate.

3. Tom is saving money for a new bike that costs $200. If he currently has $50 and saves $10 each week, how many weeks will it take for him to have enough money? Set up the inequality and graph it.

• 25 weeks

• 20 weeks

• 15 weeks

• 10 weeks

4. A concert hall can hold a maximum of 500 people. If 350 tickets have already been sold, how many more tickets can be sold? Write the inequality and illustrate it on a number line.

• 150

• 250

• 100

• 200

5. Lisa wants to buy a new phone that costs $600. She has $200 saved and plans to save $50 each month. How many months will it take her to afford the phone? Formulate the inequality and graph it.

• 12 months

• 8 months

• 6 months

• 10 months

6. A recipe requires at least 3 cups of flour. If you have 1.5 cups, how many more cups do you need to buy? Write the inequality and show it on a number line.

• You need to buy at least 3 cups of flour.

• You need to buy at least 1.5 more cups of flour.

• You need to buy at least 0.5 more cups of flour.

• You need to buy at least 2 cups of flour.

7. A gym has a maximum capacity of 150 members. If there are currently 120 members, how many more can join? Create the inequality and represent it graphically.

• 30

• 50

• 40

• 25

8. A car rental company charges a minimum of $30 per day. If you want to rent a car for at least 5 days, what is the minimum amount you will spend? Set up the inequality and graph it.

• $150

• $100

• $75

• $200

9. A farmer has a field that can produce at least 200 apples. If each tree produces 25 apples, how many trees does he need to plant? Write the inequality and illustrate it on a number line.

• 10 trees

• 5 trees

• 15 trees

• The farmer needs to plant at least 8 trees.

10. A student needs to score at least 70% on a test to pass. If the test has 50 questions, how many questions must they answer correctly? Formulate the inequality and graph it.

• 40

• 35

• 30

• 50