Absolute Value Equations
 Remember:  Absolute Value    EquationsAbsolute value equations might have one answer, two answers or no answer. So, Simplify.  x   = 4 means that 4    = 4-4  = 4x = 4 or x =  Which operation needs to be done to isolate the absolute value expression for this equation?3c - 2  = 9subtract 2multiply by 3divide by 3distribute the 3 Which operation needs to be doneto isolate the absolute value expression?4x + 1subtract 5divide by 4subtract 1add 5 - 5 = 14 4Which operation should be done first?3y - 2   + 1 = 9distribute the 4subtract 1divide by 4add 2 Solve the equation.z + 1  = 3z = z + 1  = 3ororz + 1  = z =  Solve the equation.m - 5   = 9m = 14m = 14, -14m = -4, 14 no solution Solve the equation.4p - 8   = -12p = 1, 5p = -5, 1p = 5, -1no solution Solve the equation.-2k - 4   = 16k = - 10, 6k = 10, -6k = 6, -6no solution Solve the equation.2x + 1  = -11x = -5, 6x = -6, 5x = 5, 6no solution Solve the equation.x 2+ 1  = 4x = 6, 10x = -6, -10x = 6, -10no solution Solve the equation.2w - 3 = 8w = 0, 6w = 7, -1w = 7no solution Solve the equation.-3t = -1 or 2t = -1 or -6t = -1 or -7no solutiont + 4= -9 Solve the equation.-42xno solutionx = 2 or -2x = -2, 1/2x = -2= 16 Solve the equation.3-2d + 6d = 1, -9no solutiond = 1, 5d = 1= 12
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