Learn How To Solve an Absolute Value Equation when There is a Variable on Both Sides

The video tutorial explains how to solve absolute value equations by creating two cases: one for the positive and one for the negative scenario. It demonstrates solving the equations by isolating the variable and checking the solutions to ensure they are correct. The tutorial emphasizes the importance of verifying solutions by substituting them back into the original equation.

Why is it necessary to create two cases when solving absolute value equations?

• To account for both positive and negative values inside the absolute value

• To make the equation linear

• To simplify the equation

• To eliminate the variable

What is the first step in solving the equation 3X - 4 = X?

• Add 4 to both sides

• Subtract 3X from both sides

• Multiply both sides by 2

• Divide both sides by 3

After isolating the variable, what operation is used to solve for X in the equation -4 = -2X?

• Multiplication

• Division

• Subtraction

• Addition

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

• Multiply the solutions by 2

• Ignore the solutions

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

• Graph the solutions

If the absolute value of a number is equal to 2, which of the following could be the original number?

• 3

• -2

• 0

• 4