How do you solve absolute value equations

The video tutorial provides a step-by-step guide on solving absolute value equations. It emphasizes isolating the absolute value, creating two cases for potential solutions, and verifying these solutions to identify any extraneous results. The process involves reversing operations and applying properties of equality to ensure accurate solutions.

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

• Divide both sides by a variable

• Isolate the absolute value expression

• Add a constant to both sides

• Multiply both sides by a number

When creating two cases for an absolute value equation, what should you do with the expression inside the absolute value?

• Set it equal to both the positive and negative of the other side

• Set it equal to zero

• Multiply it by two

• Add a constant to it

Why is it important to apply the distributive property when negating expressions in absolute value equations?

• To eliminate fractions

• To ensure all terms are correctly negated

• To simplify the equation

• To isolate the variable

How can you determine if a solution to an absolute value equation is extraneous?

• By checking if it is a whole number

• By comparing it to other solutions

• By substituting it back into the original equation

• By ensuring it is positive

What should you do if a solution does not simplify to a true equation when substituted back into the original absolute value equation?

• Multiply it by a constant

• Label it as extraneous

• Ignore it and try another method

• Consider it as a valid solution