Solving and Graphing Inequalities in Real Life Scenarios

1. Sarah has $50 to spend on books. Each book costs $10. Write an inequality to represent how many books she can buy. Solve the inequality and graph the solution.

• x <= 5

• x < 5

• x = 10

• x >= 6

2. A school is planning a field trip and needs at least 30 students to sign up. If 12 students have already signed up, write an inequality to find out how many more students need to sign up. Solve and graph the inequality.

• x = 25

• x ≤ 12

• x > 30

• x ≥ 18

3. A concert venue can hold a maximum of 500 people. If 200 tickets have already been sold, write an inequality to determine how many more tickets can be sold. Solve and graph the inequality.

• x ≤ 300

• x ≤ 200

• x ≤ 400

• x ≤ 250

4. Tom is saving money to buy a new bike that costs $300. If he currently has $75 and saves $25 each week, write an inequality to find out how many weeks it will take him to save enough money. Solve and graph the inequality.

• w = 8

• w >= 9

• w <= 10

• w < 9

5. A gym charges a monthly fee of $40 plus $5 for each class attended. If a member wants to spend no more than $100 in a month, write an inequality to represent the number of classes they can attend. Solve and graph the inequality.

• x ≤ 10

• x ≤ 8

• x ≤ 15

• x ≤ 12

6. A farmer has 120 acres of land and wants to plant corn and wheat. If he plants at least 30 acres of corn, write an inequality to represent the maximum acres of wheat he can plant. Solve and graph the inequality.

• y ≤ 100

• y ≤ 60

• y ≤ 80

• y ≤ 90

7. A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer wants to spend no more than $100, write an inequality to find out how many miles they can drive. Solve and graph the inequality.

• x ≤ 150

• x ≤ 300

• x ≤ 250

• x ≤ 200

8. Lisa is making gift bags for a party. Each bag requires 3 candies. If she has 24 candies, write an inequality to determine how many bags she can make. Solve and graph the inequality.

• x < 8

• x >= 8

• x = 8

• x <= 8

9. A bookstore is having a sale where each book is $8. If a customer has $40 to spend, write an inequality to find out how many books they can buy. Solve and graph the inequality.

• x >= 6

• x <= 5

• x < 5

• x <= 4

10. A local charity is collecting cans for a food drive. They need at least 200 cans. If they have already collected 75 cans, write an inequality to find out how many more cans they need to collect. Solve and graph the inequality.

• x ≤ 125

• x = 150

• x ≥ 125

• x < 200