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ABSOLUTE VALUE EQUATIONS

An absolute value equation is a statement that contains an absolute value. The variable of the equation is contained within the absolute value.

 

Definition
 
Examples

EXAMPLES OF ABSOLUTE VALUE EQUATIONS

   
 

 

Example 1  

Example 2

 

 

 

 

 

Solving

STEPS TO SOLVE A absolute value EQUATION

Recall that absolute value means distance from zero.  The equation |x|=5 has two solutions. The statement asks for the values of x that are five units from zero. Both 5 and -5 are five units from zero. Therefore, x = 5 or x = -5.

 

Sample Problems

Sample Problem 1

 

 

Sample Problems

 

Sample Problem 2