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