Learn How to Solve a Simple One Step Absolute Value Equation

The video tutorial explains how to solve absolute value equations by setting up two cases: one for the positive value and one for the negative value. It demonstrates solving the equations for X by dividing both sides by three, resulting in two solutions: X equals positive 6 and X equals negative 6. The tutorial concludes by verifying that both solutions satisfy the original absolute value equation.

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

• Subtract a constant from both sides

• Multiply both sides by a constant

• Set up two cases: one positive and one negative

• Set up a single equation

When setting up the equation 3X = 18, what is the next step to solve for X?

• Add 3 to both sides

• Divide both sides by 3

• Subtract 3 from both sides

• Multiply both sides by 3

What are the solutions for the equation 3X = -18?

• X = 0

• X = 6

• X = -6

• X = 6 and X = -6

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

• To eliminate incorrect solutions

• To simplify the equation further

• To find more solutions

• To ensure they satisfy the original equation

What happens when you plug the solutions back into the absolute value equation?

• They change the equation

• They do not satisfy the equation

• They create new solutions

• They satisfy the equation