Pre-Calc

Description

Mind Map on Pre-Calc, created by semi_clear on 31/12/2013.
semi_clear
Mind Map by semi_clear, updated more than 1 year ago
semi_clear
Created by semi_clear almost 11 years ago
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Resource summary

Pre-Calc
  1. Absolute value equations
    1. |y| = a
      1. y = a
        1. y=-a
        2. Inequalities
          1. |y| <= a
            1. -a<=y<=a

              Annotations:

              • |5 - 2x| &lt;= 9 -9&lt;= 5-2x&lt;= 9 -9 (-5) &lt;= 5(-5)-2x&lt;= 9 (-5)   (solve for x.  Subtract 5) -14&lt;= -2x&lt;= 4 -14/-2 =&gt; -2x/-2 =&gt; 4/-2   (divide by -2. )   NOTE:Switch inequalities when dividing by negative) 7 =&gt; x =&gt; -2   or   -2&lt;=x&lt;=7
            2. |y| < a
              1. y < a
                1. y > -a
            3. Polynomials
              1. Add and Subtract
                1. (ax^2 +x - 7) + (bx^2 -3x +9)
                  1. ax^2 + bx^2 +x - 3x - 7 + 9
                    1. (a+b)x^2 -2x +2
                  2. (ax^2 +x - 7) - (bx^2 -3x +9)
                    1. ax^2 - bx^2 + x +3x -7 -9
                      1. (a-b)x^2 +4x - 16
                2. Rational Expressions
                  1. Add and Subtract
                    1. 5/x-1 + 4/x-2
                      1. 5(x-2)/(x-1)(x-2) + 4(x-1)/(x-2)(x-1)
                        1. (5x-10)/(x-1)(x-2) + (4x-4)/(x-2)(x-1)
                          1. (9x-14)/(x-1)(x-2)
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