Learn the Basics of Solving an Absolute Value Equation

The video tutorial explains how to solve absolute value equations by considering two cases: positive and negative. It demonstrates the process of eliminating the absolute value to find solutions and verifies these solutions by plugging them back into the original equation.

What is the primary reason for creating two cases when solving absolute value equations?

• To check for errors in calculation.

• To eliminate the absolute value.

• To simplify the equation.

• To account for both positive and negative values.

When solving the equation |x| = 9, what are the possible values of x?

• x = 9 or x = 1

• x = 9 or x = 0

• x = 9 or x = -9

• x = 0 or x = -9

What is the first step in solving an absolute value equation?

• Eliminate the absolute value.

• Create two cases for the equation.

• Verify the solutions.

• Simplify the equation.

Why is it important to verify the solutions of an absolute value equation?

• To eliminate any negative values.

• To simplify the equation further.

• To find additional solutions.

• To ensure the solutions satisfy the original equation.

What should you do after finding the solutions to an absolute value equation?

• Graph the solutions.

• Check for extraneous solutions.

• Verify the solutions by substituting them back into the original equation.

• Find the derivative of the equation.