Solving Multi-Step Inequalities: Real-Life Applications

1. Sarah has $50 to spend on books. Each book costs $8. Write and solve an inequality to find out how many books she can buy without exceeding her budget.

• 5

• 7

• 8

• 6

2. A concert hall has a seating capacity of 500. If 120 tickets have already been sold, write and solve an inequality to determine how many more tickets can be sold while keeping the total under capacity.

• 400

• 250

• 379

• 300

3. A gym charges a $30 membership fee plus $10 per class. If you want to spend no more than $100, write and solve an inequality to find out how many classes you can attend.

• 5

• 10

• 7

• 3

4. A farmer has 200 acres of land. He wants to plant corn and wheat, with corn taking 2 acres and wheat taking 3 acres. Write and solve an inequality to determine the maximum number of acres he can use for planting if he wants to plant at least 50 crops in total.

• 200 acres

• 100 acres

• 150 acres

• 250 acres

5. A school is planning a field trip and has a budget of $600. The cost per student is $15. Write and solve an inequality to find out how many students can attend the trip without exceeding the budget.

• 40

• 50

• 30

• 25

6. A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If you want to spend no more than $100, write and solve an inequality to find out how many miles you can drive.

• 250 miles

• 150 miles

• 200 miles

• 300 miles

7. A recipe requires at least 3 cups of flour and no more than 5 cups. Write and solve an inequality to determine the range of flour cups you can use for the recipe.

• x > 5

• 2 < x < 6

• 3 <= x <= 5

• x < 3

8. A store is having a sale where you can buy 3 shirts for $45. If you want to spend no more than $90, write and solve an inequality to find out how many shirts you can buy.

• 8 shirts

• 4 shirts

• 10 shirts

• 6

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

• 40

• 50

• 35

• 30

10. A charity event aims to raise at least $1,000. If each ticket sold is $25, write and solve an inequality to determine how many tickets need to be sold to meet the goal.

• 40

• 20

• 30

• 50