Solving an Absolute Value Equation with Two Solutions

The video tutorial explains how to solve absolute value equations by setting up two cases: one where the absolute value is positive and another where it is negative. The instructor demonstrates solving these cases using inverse operations and multiplication to eliminate fractions. The solutions are verified by substituting them back into the original equation to ensure correctness.

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

• Add a constant to both sides

• Set up two cases for positive and negative values

• Multiply all terms by the reciprocal

• Divide by the coefficient of x

Which method can be used to eliminate fractions in an equation?

• Adding a constant to both sides

• Using the reciprocal of the fraction

• Dividing by the fraction

• Subtracting the fraction from both sides

What is the result of multiplying a fraction by its reciprocal?

• The fraction becomes zero

• The fraction doubles

• The fraction remains unchanged

• The fraction equals one

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

• By checking if the solution satisfies the original equation

• By adding the solution to the original equation

• By ensuring the solution is a positive number

• By multiplying the solution by two

What is the absolute value of -10?

• 0

• 10

• -10

• 20