Graphing Inequalities and Word Problems

The video tutorial covers solving and graphing inequalities, with a focus on reversing inequality signs when multiplying or dividing by a negative number. It includes exercises on real-world problems such as car sales, car rental costs, and budgeting for clothing purchases. The teacher also announces an upcoming test and review day, encouraging students to prepare and seek help if needed.

What is the purpose of the review day mentioned in the introduction?

• To practice problems similar to the test

• To introduce new topics

• To conduct a group discussion

• To take a break from learning

When solving inequalities, what happens to the inequality sign when you multiply or divide by a negative number?

• It becomes an equal sign

• It disappears

• It stays the same

• It reverses

In the car dealership example, what operation is used to represent the sale of cars per week?

• Addition

• Subtraction

• Division

• Multiplication

How is an open circle used on a number line when graphing inequalities?

• To represent zero

• To show a non-solution

• To mark the midpoint

• To indicate a solution

In the car rental problem, what does 'no more than' imply about the total cost?

• It can be less than or equal to the amount

• It must be less than the amount

• It must be exactly the amount

• It can exceed the amount

What is the maximum number of full days the car can be rented to stay within the budget?

• 16 days

• 17 days

• 18 days

• 19 days

In the sweater and jeans problem, what is the first step to solve for the price of a sweater?

• Divide the total amount by the number of sweaters

• Subtract the cost of jeans

• Add the cost of jeans

• Multiply the number of sweaters

What is the maximum price of a sweater if the total budget is $120?

• $28.33

• $40.00

• $30.00

• $35.00

How is a closed circle used on a number line when graphing inequalities?

• To mark the midpoint

• To show a solution

• To represent zero

• To indicate a non-solution

What does the variable 'C' represent in the sweater and jeans problem?

• The cost of a sweater

• The number of jeans

• The number of sweaters

• The cost of jeans