Page 204 - ABCTE Study Guide_Neat
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Example








        m = 5 or -5. This answer can also be written as       .










                                                         n = 9 or -9

        Check your work by putting the values of the variable back into the original equation.




        What happens when the variable isn't alone inside the absolute-value bars? In those cases, you will solve
        two quick equations instead of one because you have to set the absolute value equal to the positive and
        negative numbers. You will end up with two answers.

        Example



                                                  p + 2 = 9 or p + 2 = -9
                                                      p = 7 or p = -11.

        This equation works because we are looking for the numbers that will create a sum whose absolute value
        is nine. Check the answers to be sure they are correct:










        If there are other numbers outside the absolute value on the same side of the equation, work to get the
        absolute value part alone before breaking the equation into two parts.

        Example
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