Solving Equations with Inverse Operations

This video tutorial teaches how to solve one-step equations using multiplication and division. It explains the concept of inverse operations and provides four examples to demonstrate the process of isolating variables. The tutorial also includes practice questions and a preview of the next video on solving two-step equations.

What are inverse operations in the context of solving equations?

• Operations that are the same

• Operations that are identical

• Operations that cancel each other out

• Operations that are unrelated

What is the purpose of using inverse operations in solving equations?

• To change the equation

• To make the equation more complex

• To isolate the variable

• To add more variables

In the equation 6m = 36, what operation should be used to isolate m?

• Division

• Multiplication

• Subtraction

• Addition

What is the value of m in the equation 6m = 36?

• 36

• 5

• 6

• 2

What is the first step in solving the equation 6m = 36?

• Divide both sides by 6

• Subtract 6 from both sides

• Multiply both sides by 6

• Add 6 to both sides

How do you verify the solution of an equation?

• By substituting the solution back into the original equation

• By using a calculator

• By guessing

• By asking a friend

In the equation 32 = 4k, what operation should be used to solve for k?

• Addition

• Division

• Multiplication

• Subtraction

What is the value of k in the equation 32 = 4k?

• 4

• 8

• 16

• 32

What does the equation 4k = 32 imply about the relationship between 4 and k?

• 4 is divided by k

• 4 is multiplied by k

• 4 is subtracted from k

• 4 is added to k

What is the result of dividing 32 by 4 in the equation 32 = 4k?

• 4

• 6

• 8

• 10