Solve an Absolute Value Equation

The video tutorial explains how to solve absolute value equations by creating two cases: one for positive and one for negative values. It demonstrates the steps to solve these equations and emphasizes the importance of checking solutions to avoid extraneous results.

What are the two cases to consider when solving an absolute value equation?

• When the expression is zero and when it is non-zero

• When the expression is positive and when it is negative

• When the expression is even and when it is odd

• When the expression is greater than 10 and less than 10

How do you solve an absolute value equation?

• By multiplying both sides by the same number

• By creating two separate equations without the absolute value

• By adding the same number to both sides

• By dividing both sides by the same number

What is the solution for the equation 2X - 1 = 5?

• X = 5

• X = 4

• X = 3

• X = 2

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

• To confirm the solutions are even numbers

• To check for extraneous solutions

• To verify the solutions are integers

• To ensure the solutions are positive

What is an extraneous solution?

• A solution that is larger than expected

• A solution that does not satisfy the original equation

• A solution that is a fraction

• A solution that is negative