Solving an Absolute Value Equations

The video tutorial explains how to solve absolute value equations, emphasizing their similarity to linear equations. It covers the concept of absolute value as the distance from zero and demonstrates solving equations by creating positive and negative cases. The importance of isolating the absolute value and checking for extraneous solutions is highlighted.

What does the absolute value of a number represent?

• The distance from zero

• The square of the number

• The negative of the number

• The number itself

Why do absolute value equations often have two solutions?

• Because they involve complex numbers

• Because they are always positive

• Because they represent both positive and negative distances

• Because they are quadratic equations

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

• Subtract a constant from both sides

• Multiply both sides by a number

• Isolate the absolute value expression

• Add a constant to both sides

How do you create the negative case when solving an absolute value equation?

• Subtract the same value from both sides

• Add the same value to both sides

• Negate the other side of the equation

• Multiply both sides by -1

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

• To verify there are no extraneous solutions

• To simplify the equation further

• To ensure the equation is balanced

• To confirm the equation is linear