Dividing and Isolating Variables

The video tutorial explains how to solve the equation 5b = 9.5 by isolating the variable b. It demonstrates dividing both sides of the equation by 5 to find the value of b, which is 1.9. The tutorial provides a step-by-step guide to solving the equation, emphasizing the importance of understanding the process of undoing multiplication through division.

What is the initial equation presented in the video?

• b - 5 = 9.5

• b + 5 = 9.5

• 5b = 9.5

• 5 + b = 9.5

What does the equation 5b = 9.5 represent?

• A multiplication problem

• A division problem

• An addition problem

• A subtraction problem

What is the main objective when solving an equation?

• To rewrite the equation in a different form

• To add more variables to the equation

• To eliminate all numbers from the equation

• To find the value of the variable that makes the equation true

What operation is used to isolate the variable in the equation 5b = 9.5?

• Addition

• Subtraction

• Multiplication

• Division

Why do we divide both sides of the equation by 5?

• To make the equation more complex

• To eliminate the variable

• To isolate the variable b

• To change the equation to a subtraction problem

What does 5 divided by 5 equal?

• 1

• 10

• 5

• 0

What is the first step in solving the equation 5b = 9.5?

• Subtract 5 from both sides

• Multiply both sides by 5

• Add 5 to both sides

• Divide both sides by 5

What is the significance of the number 1 in the equation 5/5 = 1?

• It is the initial value of b

• It represents the variable b

• It is the result of dividing 5 by 5

• It is the solution to the equation

What mathematical operation is used to solve for b in the equation 5b = 9.5?

• Addition

• Subtraction

• Multiplication

• Division

What is the purpose of dividing both sides of the equation by the same number?

• To change the equation

• To eliminate the variable

• To simplify the equation

• To isolate the variable