Solving Equations and Inverse Operations

Mr. Holcomb explains one-step equations using multiplication and division. The lesson covers solving equations like 3z = 9 and y/4 = 2 using tape diagrams and algebraic methods. The video emphasizes the importance of inverse operations and provides step-by-step solutions and verifications for various equations, including 3m = 21, n/5 = 15, 4p = 36, and 7q = 70.

What is the inverse operation of multiplication?

• Addition

• Subtraction

• Division

• Exponentiation

If 3z = 9, what is the value of z?

• 4

• 3

• 2

• 1

How can you verify the solution to 3z = 9?

• Substitute z with 5

• Substitute z with 4

• Substitute z with 3

• Substitute z with 2

What does each section of the tape diagram represent in the equation y/4 = 2?

• 3

• 4

• 1

• 2

What is the value of y in the equation y/4 = 2?

• 10

• 4

• 8

• 6

What is the inverse operation of division?

• Addition

• Exponentiation

• Subtraction

• Multiplication

If 3m = 21, what is the value of m?

• 5

• 6

• 7

• 8

In the equation n/5 = 15, what operation would you use to solve for n?

• Subtract 5

• Divide by 5

• Add 5

• Multiply by 5

If 4p = 36, what is the value of p?

• 7

• 6

• 9

• 8

What is the purpose of using a tape diagram in solving equations?

• To make the equation harder

• To check the solution

• To visualize the equation

• To avoid using algebra