Understanding Two-Step Inequalities in Real-World Scenarios

Kayley explains how to apply two-step inequalities to real-world problems using a word problem involving Megan's soccer team. The team needs to sell tickets to cover theater rental costs and raise at least $1,000. Kayley guides through setting up and solving the inequality to determine the minimum number of tickets needed.

What is the main focus of the video tutorial?

• Understanding two-step inequalities

• Solving quadratic equations

• Learning about geometry

• Exploring linear equations

What is the cost of renting the theater for the talent show?

• $500

• $450

• $400

• $350

How much does Megan's team charge per ticket?

• $10

• $20

• $15

• $25

What is the financial goal Megan's team needs to achieve?

• At least $1000

• At least $1500

• At least $500

• At least $750

What variable is used to represent the number of tickets sold?

• N

• T

• X

• Y

What is the inequality used to determine the number of tickets needed?

• 15T - 450 ≥ 1000

• 15T + 450 ≤ 1000

• 15T - 450 ≤ 1000

• 15T + 450 ≥ 1000

What is the first step in solving the inequality?

• Divide both sides by 15

• Subtract 450 from both sides

• Add 450 to both sides

• Multiply both sides by 15

After solving the inequality, what is the minimum number of tickets Megan's team needs to sell?

• 95

• 96

• 97

• 98

Why can't Megan's team sell a fraction of a ticket?

• It would not meet the financial goal

• The theater does not allow it

• Tickets are sold in whole numbers

• Fractions are not allowed in inequalities

What does the solution of the inequality ensure for Megan's team?

• They will break even

• They will sell exactly 100 tickets

• They will raise at least $1000

• They will make a profit