Solving and Validating Multistep Inequalities in Real Life

1. A concert hall has a seating capacity of 500. If tickets are sold for $20 each, how many tickets must be sold to ensure that the total revenue exceeds $8,000?

• 401

• 500

• 450

• 300

2. Sarah is saving money to buy a new laptop that costs $1,200. If she saves $150 each month, how many months will it take for her to save enough money, and what inequality represents this situation?

• It will take Sarah 8 months to save enough money.

• It will take Sarah 12 months to save enough money.

• It will take Sarah 6 months to save enough money.

• It will take Sarah 10 months to save enough money.

3. A gym charges a monthly fee of $30 plus $5 for each class attended. If a member wants to keep their monthly expenses under $100, how many classes can they attend?

• 10

• 12

• 16

• 14

4. A school is planning a field trip and has a budget of $1,500. If the cost per student is $25, how many students can attend without exceeding the budget? Write the inequality and solve for the number of students.

• 50

• 80

• 60

• 70

5. A car rental company charges a flat fee of $50 plus $0.20 per mile driven. If a customer wants to keep their total cost under $100, how many miles can they drive?

• 300 miles

• 249 miles

• 150 miles

• 200 miles

6. Emily wants to buy a new phone that costs $800. She has $200 saved and plans to save $100 each month. Write an inequality to represent how many months it will take her to afford the phone and solve it.

• m <= 5

• m < 6

• m >= 6

• m = 7

7. A bakery sells cupcakes for $3 each. If they want to make at least $300 in a day, how many cupcakes must they sell? Write the inequality and find the solution.

• 100

• 120

• 75

• 50

8. A student has a budget of $200 for school supplies. If notebooks cost $5 each and pens cost $2 each, write an inequality to represent how many notebooks and pens they can buy without exceeding their budget.

• 5x + 3y ≤ 200

• 5x + 2y ≤ 200

• 4x + 2y ≤ 150

• 6x + 2y ≤ 250

9. A local theater sells tickets for $15 each. If they want to make at least $1,200 from ticket sales, how many tickets must they sell? Write the inequality and solve it.

• 70

• 90

• 80

• 100

10. A family is planning a vacation and has a budget of $2,000. If they plan to spend $150 per day on activities, how many days can they afford to stay? Write the inequality and find the solution.

• 15

• 10

• 13

• 20