Wetzel

Math 102

8.1 – Linear Equations and Absolute Value Equations

Linear Equations:  (One Variable)

·        One solution,  No solution (Contradiction), or Infinitely Many solutions (Identity)

To Solve:

                                    1.)  Simplify each side of the equation

                                    2.)  Get all variables on one side

                                    3.)  Isolate the variable

            Examples:  Solve.

            1.)                                        2.) 

            3.)                                          4.) 

Absolute Value Equations:    An equation with an absolute value.

            What is an absolute value?

            Why is it always positive?

                              To Solve:

                                    1.)  Isolate the Absolute Value

                                    2.)  Drop the Abs. Value by rewriting TWO equations

                                    3.)  Solve each equation

            Examples:  Solve.

            5.)                                                6.) 

            7.)                                                  8.)