Learn How to Apply Inverse Operations to Solve an Equation with a Square Root

The video tutorial covers solving equations using inverse operations, focusing on examples like 4 = sqrt X and 4 = X^2. It explains the process of solving one-step equations by applying inverse operations, such as subtracting or taking square roots. The tutorial emphasizes the importance of verifying solutions and introduces the concept of rational numbers.

What is the inverse operation of adding 1 to a variable in an equation?

• Adding 2

• Multiplying by 1

• Subtracting 1

• Dividing by 1

When solving the equation 4 = X^2, what operation should be applied to both sides?

• Subtracting 2

• Adding 4

• Taking the square root

• Squaring both sides

What is the inverse operation of taking the square root of a variable?

• Multiplying by 2

• Dividing by 2

• Squaring

• Adding 1

If 4 = sqrt(X), what is the value of X after applying the inverse operation?

• 8

• 4

• 2

• 16

Why is it important to verify your solution by plugging it back into the original equation?

• To change the equation

• To ensure the solution is correct

• To find a different solution

• To make the equation more complex