Absolute Value Equations Worksheet

                    Lesson 1

                                                                                                                                                                          

                                                            Problem:                   Solve:  5 = |x + 2|

                                                            Step 1:                    We will solve the problem in different Step s.

                                                 

                     

                                                                                Solution                         

Step 2:                        

Case 1:

Check

Case 2:

Check

 

5 = |x + 2|

 

x + 2 = 5

 

x = 5 – 2

 

x = 3

 

5 = | 3 + 2|

 

5 = |5|

 

5 = 5

5 = |x + 2|

 

x + 2 = -5

 

x = -5 - 2

 

x = -7

5 = |-7 + 2|

 

5 = |-5|

 

5 = 5

                                                                                         

                                                             Solution                    The answer is:  {3,- 7}

 Step 3:                                                                      

                                                                   

                                                                                                                               

                                                             Try two practice problems:  

 

                                                                                               Solve the following:

 

                                                                                                A. 3 = |x – 2|

 

 

 

                                                                                                B. 8 = |x – 4|

 

 

 

        

 

© www.MathWorksheetsWorld.com-For Math Worksheets & Math Lessons