How to Solve a One Step Absolute Value Equation

The video tutorial explains how to solve absolute value inequalities by setting up two cases: one where the value inside the absolute value is positive and another where it is negative. The process involves removing the absolute value to create two separate equations, solving them, and then verifying the solutions by substituting back into the original equation.

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

• Multiply both sides by a constant

• Set up two cases for the equation

• Combine like terms

• Add a constant to both sides

When removing the absolute value, what are the two equations formed from |3X| = 18?

• 3X = 18 and 3X = -18

• 3X = 18 and 3X = 0

• 3X = 18 and 3X = 6

• 3X = 18 and 3X = 3

What is the solution for X when solving the equation 3X = 18?

• X = 3

• X = 6

• X = 9

• X = 12

How do you verify the solution X = 6 in the original equation?

• By checking if 3 * 6 equals 18

• By checking if 3 * 6 equals -18

• By checking if 3 * 6 equals 0

• By checking if 3 * 6 equals 12

What is the absolute value of -18?

• 18

• 36

• -18

• 0