Inequalities and Key Terms in Word Problems

This video tutorial covers solving word problems using inequalities. It includes examples such as a furniture store's sales, a coin problem with nickels and dimes, and a scenario involving popcorn and drinks purchases. The video emphasizes identifying key words like 'minimum' and 'no more than' to determine the correct inequality signs.

What is the first step in solving word problems involving inequalities?

• Identify the variables

• Write the final equation

• Calculate the total value

• Look for key terms indicating inequality signs

In the furniture store example, what does the store need to achieve daily?

• Sell $8,300 worth of chairs only

• Sell exactly $8,300 worth of items

• Sell at least $8,300 worth of items

• Sell no more than $8,300 worth of items

In the furniture store example, how much does each table cost?

• $400

• $350

• $300

• $450

What is the inequality for the furniture store's sales?

• 50c + 400t < 8300

• 50c + 400t ≥ 8300

• 50c + 400t > 8300

• 50c + 400t ≤ 8300

Which inequality sign is used when the requirement is 'at least'?

• Less than

• Greater than

• Less than or equal to

• Greater than or equal to

In the coin value example, what is the maximum value of coins Colton can have?

• $1.50

• $3.00

• $2.00

• $2.50

What is the inequality for the total value of nickels and dimes?

• 5n + 10d ≤ 2

• 5n + 10d ≥ 2

• 5n + 10d < 2

• 5n + 10d > 2

How much does each bag of popcorn cost in the movie theater example?

• $6.00

• $5.50

• $5.00

• $4.50

What is the total budget Hunter has for popcorn and drinks?

• $90

• $70

• $80

• $60

What is the inequality for the total cost of popcorn and drinks?

• 5.50b + 6d ≤ 80

• 5.50b + 6d ≥ 80

• 5.50b + 6d < 80

• 5.50b + 6d > 80