Solving Equations with Division and Multiplication

The video tutorial explains how to solve equations involving multiplication and division. It demonstrates the process of isolating the variable by using division to cancel multiplication and vice versa. The tutorial includes examples such as solving 3x = 12 and x/3 = 12, followed by practice problems for viewers to try on their own. The key takeaway is to use multiplication to cancel division and division to cancel multiplication, with division shown in fraction form.

What is the first step in solving an equation that involves multiplication?

• Add a number to both sides

• Subtract a number from both sides

• Divide both sides by the same number

• Multiply both sides by the same number

In the equation 3x = 12, what operation is used to isolate x?

• Multiplication

• Subtraction

• Addition

• Division

Why does dividing both sides of an equation by the same number help solve it?

• It multiplies the equation

• It adds a constant

• It cancels out the multiplication

• It changes the equation

What is the result of dividing 12 by 3 in the equation 3x = 12?

• 5

• 4

• 3

• 2

What is the solution to the equation 3x = 12?

• x = 5

• x = 2

• x = 3

• x = 4

How do you solve an equation where x is divided by a number?

• Add the number to both sides

• Divide both sides by the same number

• Subtract the number from both sides

• Multiply both sides by the same number

In the equation x/3 = 12, what operation is used to solve for x?

• Subtraction

• Division

• Addition

• Multiplication

What is the result of multiplying 12 by 3 in the equation x/3 = 12?

• 36

• 48

• 30

• 24

What is the solution to the equation x/3 = 12?

• x = 30

• x = 24

• x = 48

• x = 36

What is the solution to the equation 7x = 10?

• x = 10

• x = 7

• x = 10/7

• x = 1