Lesson OVERVIEW of lessons on Absolute Value equations

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OVERVIEW of lessons on Absolute Value equations


For your convenience, this file contains the list of my lessons on  Absolute Value equations  in this site and the list of  problems  for each lesson.
The lessons are listed in the logical order, from more simple to more complex problems.
    - Absolute Value equations
    - HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 1
    - HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 2
    - HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 3
    - HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 4
    - HOW TO solve equations containing Quadratic Terms under the Absolute Value sign. Lesson 1
    - HOW TO solve equations containing Quadratic Terms under the Absolute Value sign. Lesson 2

List of lessons with short annotations

Absolute Value equations

    Solve absolute value equations
        a)  abs%28x%29 = 2;
        b)  abs%28x%29 = 5.5;
        c)  abs%28x%29%2B4 = 5;
        d)  abs%28x%2B2%29 = 7;
        e)  abs%282x%2B5%29 = 9.


HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 1

    Solve absolute value equations
        a)  x%2F2%2B1 = abs%28x%29;
        b)  x%2B1 = abs%28x%29;
        c)  x     = abs%28x%29;
        d)  2x   = abs%28x%29;
        e)  x%2F2     = abs%28x%29;
        f)  x-1 = abs%28x%29.


HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 2

    Solve absolute value equations
        a)  0.5x-2.5 = -abs%283x-6%29%2B2;
        b)  -3x%2B2     = -abs%283x-6%29%2B2;
        c)  -3x%2B8     = -abs%283x-6%29%2B2;
        d)  0.5x%2B1    = -abs%283x-6%29%2B2;
        e)  6x-10      = -abs%283x-6%29%2B2;
        f)  3.5          = -abs%283x-6%29%2B2.


HOW TO solve equations containing Linear Terms under the Absolute Value sign. Lesson 3

    Solve absolute value equations
        a)  x       = abs%28x%2B1%29 -abs%28x-1%29;
        b)  x%2B1   = abs%28x%2B1%29 -abs%28x-1%29;
        c)  3x-4 = abs%28x%2B1%29 -abs%28x-1%29;
        d)  2x     = abs%28x%2B1%29 -abs%28x-1%29;
        e)  2       = abs%28x%2B1%29 -abs%28x-1%29;
        f)  3.5    = abs%28x%2B1%29 -abs%28x-1%29.


How to solve equations containing Linear Terms under the Absolute Value sign. Lesson 4

    Solve absolute value equations
        a)   |x + |3x - 2|| = 2.
        b)   |3x - |2x + 1|| = 4.


How to solve equations containing Quadratic Terms under the Absolute Value sign. Lesson 1

    Solve absolute value equations
        a)  abs%28x%5E2-8x%2B12%29 = 5;
        b)  abs%28x%5E2-8x%2B12%29 = 3;
        c)  abs%28x%5E2-8x%2B12%29 = 4.


How to solve equations containing Quadratic Terms under the Absolute Value sign. Lesson 2

    Solve absolute value equations
        a)  abs%28x%5E2-8x%2B12%29 = x%2B4;
        b)  abs%28x%5E2-8x%2B12%29 = -2x%2B13;
        c)  abs%28x%5E2-8x%2B12%29 = x.


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