Mastering Inequalities: Write and Interpret Real-Life Scenarios

1. A school has a budget of $5,000 for a field trip. If each student pays $30, write an inequality to represent the maximum number of students that can attend the trip.

• x < 150

• x ≥ 166

• x ≤ 200

• x ≤ 166

2. Sarah is saving money to buy a new bike that costs $250. If she currently has $75 and saves $15 each week, write an inequality to show how many weeks it will take her to save enough money.

• w >= 12

• w < 12

• w <= 10

• w = 15

3. A concert hall can hold a maximum of 1,200 people. If 800 tickets have already been sold, write an inequality to represent the number of additional tickets that can be sold.

• x ≤ 800

• x ≥ 200

• x ≤ 400

• x < 400

4. A recipe requires at least 2 cups of flour. If you have 1.5 cups, write an inequality to express how many more cups of flour you need to buy.

• x = 1

• x > 1.5

• x >= 0.5

• x < 0.5

5. A car rental company charges $25 per day plus a one-time fee of $50. If you want to spend no more than $200, write an inequality to find out how many days you can rent the car.

• d ≤ 5

• d ≤ 7

• d ≤ 8

• d ≤ 6

6. A student needs to score at least 70% on a test to pass. If the test has 50 questions, write an inequality to determine how many questions the student must answer correctly to pass.

• x < 35

• x ≥ 35

• x = 40

• x ≤ 30

7. A factory produces at least 300 toys each day. If the factory produced 250 toys yesterday, write an inequality to show how many more toys need to be produced today to meet the daily goal.

• x < 50

• x >= 50

• x <= 250

• x = 100

8. A gym has a maximum capacity of 150 members. If there are currently 120 members, write an inequality to represent how many new members can join without exceeding the capacity.

• x ≤ 30

• x ≤ 10

• x ≤ 50

• x ≤ 20

9. A farmer has at least 100 acres of land for planting. If he has already planted on 60 acres, write an inequality to express how many more acres he can plant on.

• x ≤ 40

• x < 40

• x ≥ 60

• x > 40

10. A book club requires at least 5 members to hold a meeting. If there are currently 3 members, write an inequality to show how many more members are needed to meet the requirement.

• x < 2

• x <= 2

• x >= 2

• x > 2