Learn to Solve a Basic Two 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. The instructor demonstrates solving for X in both scenarios and verifies the solutions by plugging them back into the original equation. The process ensures that both solutions are valid, providing a comprehensive understanding of solving absolute value equations.

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

• Multiply both sides by the absolute value

• Combine like terms

• Set up two cases for the equation

• Add a constant to both sides

When solving the two cases of an absolute value equation, what operation is typically performed first?

• Divide both sides by a variable

• Add a constant to both sides

• Subtract a constant from both sides

• Multiply both sides by a variable

What are the solutions for the equation 2Y = 8 and 2Y = -14?

• Y = 2 and Y = -7

• Y = 4 and Y = -14

• Y = 8 and Y = -14

• Y = 4 and Y = -7

How do you verify if a solution to an absolute value equation is correct?

• Multiply the solution by the absolute value

• Check if the solution is a positive number

• Substitute the solution back into the original equation

• Ensure the solution is less than zero

What is the absolute value of -11?

• -11

• 0

• 22

• 11