Exploring Inverse Operations in Addition and Subtraction

This video tutorial covers the concept of inverse operations, explaining how addition and subtraction, as well as multiplication and division, are opposites. It introduces three key ideas: understanding inverse operations, balancing equations by performing the same operation on both sides, and solving for variables by isolating them using inverse operations. The tutorial includes examples and practice problems to reinforce these concepts, emphasizing the importance of showing work and checking solutions.

What is the inverse operation of addition?

• Subtraction

• Exponentiation

• Division

• Multiplication

If you subtract 5 from one side of an equation, what must you do to the other side to maintain equality?

• Add 5

• Subtract 5

• Divide by 5

• Multiply by 5

In the equation 10 * 4 = 40, what happens if you divide both sides by 4?

• The equation becomes 10 = 40

• The equation becomes 10 = 10

• The equation becomes 4 = 10

• The equation becomes 40 = 10

Why is it important to isolate the variable on one side of the equation?

• To easily identify the value of the variable

• To make the equation more complex

• To add more steps to the solution

• To confuse the solver

What is the first step in solving the equation x + 3 = 9?

• Subtract 3 from both sides

• Multiply both sides by 3

• Add 3 to both sides

• Divide both sides by 3

Why is it necessary to show all steps in solving an equation?

• To confuse others

• To make the teacher happy

• To make the solution longer

• To ensure understanding of the process

How can you check if your solution to an equation is correct?

• By guessing

• By using a calculator

• By asking a friend

• By plugging the solution back into the original equation

In the equation y - 12 = 15, what is the inverse operation needed to isolate y?

• Multiply by 12

• Divide by 12

• Add 12

• Subtract 12

What is the value of y in the equation y - 12 = 15?

• 3

• 27

• 15

• 12

In the equation W + 6 = 42, what is the value of W after applying the inverse operation?

• 48

• 36

• 42

• 6