Solving Multiplication Equations Using Inverse Operations (Example)

The video tutorial explains how to solve the equation 18X = 162. It begins by identifying the multiplication of 18 and X, and then demonstrates how to balance the equation by dividing both sides by 18. This results in X = 9. The solution is verified by substituting 9 back into the original equation, confirming that 18 * 9 equals 162, thus proving the solution is correct.

What operation is necessary to isolate X in the equation 18X = 162?

• Subtract 18 from both sides

• Add 18 to both sides

• Divide both sides by 18

• Multiply both sides by 18

What is the value of X when you solve the equation 18X = 162?

• 8

• 12

• 9

• 10

Why is it important to perform the same operation on both sides of an equation?

• To simplify only one side of the equation

• To change the equation's solution

• To keep the equation balanced

• To make the equation more complex

What is the result of dividing 162 by 18?

• 7

• 10

• 8

• 9

How can you verify that X = 9 is the correct solution for the equation 18X = 162?

• By checking if 18 * 9 equals 162

• By checking if 18 + 9 equals 162

• By checking if 18 - 9 equals 162

• By checking if 18 / 9 equals 162