Learn How to Solve a Multi Step Absolute Value Equation

The video tutorial explains how to solve absolute value inequalities by first isolating the absolute value expression and then creating two cases: one where the expression inside the absolute value is positive and another where it is negative. The instructor demonstrates how to solve each case and verify the solutions by substituting them back into the original equation. The tutorial emphasizes the importance of checking solutions to ensure they satisfy the original inequality.

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

• Isolate the absolute value

• Create two cases for the equation

• Subtract 4 from both sides

• Multiply both sides by 4

When creating two cases for an absolute value equation, what do these cases represent?

• The equation being solved for x and y

• The value inside the absolute value being positive and negative

• The equation being added and subtracted

• The equation being multiplied and divided

How do you handle the negative case when solving an absolute value equation?

• Divide by the opposite of the other side

• Multiply by the opposite of the other side

• Subtract the opposite of the other side

• Add the opposite of the other side

What should you do after solving the two cases of an absolute value equation?

• Multiply the solutions by 4

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

• Add the solutions together

• Divide the solutions by 2

Why is it important to verify solutions in absolute value equations?

• To ensure the solutions are positive

• To check if the solutions are negative

• To determine if the solutions are fractions

• To confirm the solutions satisfy the original equation