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Remember: Absolute Value Equations You will get TWO answers! So, Simplify. x = 4 means that 4 = 4 -4 = 4 x = 4 or x = a) Write two equations b) Isolate the absolute value expression c) Solve each equation d) Make sure the number on the right is positive or zero e) Write the two answers Put the steps in order. a, b, c, d, e b, d, a, c, e d, b, a, c, e b, a, d, c, e In which step is the first mistake? 3. 1. 3x + 5 = 4 or 3x + 5 = -4 2. Step 1 Step 2 3x = 9 x = 3 3x + 5 = 4 Step 3 Step 4 4. 3x = -9 5. x = -3 Which operation needs to be done to isolate the absolute value expression for 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 ? Whew! That was close. Now, try solving! z + 1 = 3 z = 2 z = 2, -2 z = 2, -4 no solution How did you do? If you got that last one wrong, look at your notes! or open your book to lesson 3.6. What page number does the Lesson 3.6 start on? Page Solve m - 5 = 9 m = 14 m = 14, -14 m = -4, 14 no solution Solve 4p - 8 = 12 p = 1, 5 p = -5, 1 p = 5, -1 no solution Solve -2k - 4 = 16 k = - 10, 6 k = 10, -6 k = 6, -6 no solution Solve 2x + 1 = -11 x = -5, 6 x = -6, 5 x = 5, 6 no solution Are you ready for a few more? Solve 5v - 4 = 21 Sure you are! v = 5 v = 5, -17/5 v = 5, -5 no solution Solve x 2 + 1 = 4 x = 6, 10 x = -6, -10 x = 6, -10 no solution Solve 2 w - 3 = 8 w = 0, 6 w = 7, -1 w = 7 no solution Solve -3 t = -1 or 2 t = -1 or -6 t = -1 or -7 no solution t + 4 = -9 Okay, if you missed that last one, do not go on without looking at your notes! Solve -4 2x no solution x = 2 or -2 x = -2, 1/2 x = -2 = 16 Solve 3b b = 4, -8 b = -4, -8 no solution b = 4, -4 + 6 = 18 Solve 3 -2d + 6 d = 1, -9 no solution d = 1, 5 d = 1 = 12 What does this mean? The answer should have been what? Robby was solving the equation belowand got 4 and (-10) as his answers. If you substitute -10 for d, what does the left hand side equal? If you substitute 4 for d, what does the left hand side equal? Fill in all the blanks before clicking "ok". -4 3d - 6 = 24 (no capitals) Are 4 and (-4) the solutions to 4x = 16 Yes No ? Are -2 and 1 solutions to 2 4y + 2 Yes No = 12 ? Are -1 and 5 solutions to -3 q - 2 Yes No = 9 ? Solving absolute value equations can be found in Topic 1; if you had trouble, go back and watch those videos! |