Summary of Solving Triangles:

(given any three parts)

•SSS – Given 3 sides
1. Use Law of Cosines to find other 2 angles
2. Find 3rd angle by 180 minus two angles

•SAS – Given 1 angle & other 2 sides (not opposite side)
1. Use Law of Cosines to find the 3rd side and 2nd angle
2. Find 3rd angle by 180 minus two angles

•AAS or ASA – Given 2 angles & 1 side
1. Find 3rd angle by 180 minus two angles
2. Use Law of Sines to find other 2 sides

•SSA – Given 1 angle & 2 sides (one side opposite to the angle)
1. Using Law of Cosines:
       •Find the 3rd side, using the equation of the given angle
       •This will give a quadratic equation with graph that has 1, 2, or no solutions.
2. Use Law of Sines, determine if 1, 2, or no ∆s:
       •Given obtuse angle A:
              1.a > b                            - one triangle
              2.a < b                            - no triangle
       •Give acute angle A:              
              1.a > b                            - one triangle
              2.a < b  
                 •a > h (h < a < b)        - two triangles
                 •a = h                           - one triangle
                 •a < h                           - no triangle

Chapters P-2 Answers

Below are the answers to the Quizzes and Tests from Chapters P through 2. Click on each to zoom in better.

     

     Chapter P - Quiz (page 1)                                     Chapter P - Quiz (page 2)

         
   Chapter P - Test (page 1)                                Chapter P - Test (page 2)

        
          Chapter 1 - Quiz                                            Chapter 1 - Test (page 1)

       
     Chapter 1 - Test (page 2)                                   Chapter 1 - Test (page 3)

        
          Chapter 2 - Quiz 1                                          Chapter 2 - Quiz 2

         
        Chapter 2 - Test (page 1)                                  Chapter 2 - Test (page 2)

          Chapter 2 - Test (page 3)

Rational Functions/Equations

Look here for videos on Rational Functions

Domains:
rational expressions and domains - these methods for finding domains also apply to equations
finding the domain of a function - only the first example in this video is a rational function

Finding Asymptotes:
vertical asymptotes
horizontal asymptotes
slant asymptotes
examples - also has links to how to find all three types of asymptotes

Graphing:
example of graphing
(please use this video to explore more examples of graphing...)

Complex Numbers

Watch these videos and copy down at least one problem from each to get a Bonus point on the next test for each one you  watch and write down the problems of. (You only need to write down one problem from each video since they are so repetative, but you must copy down a different kind of problem from each.)

Introduction, Add, Subtract, and Multiply
Mathematical Operations
Equality - Solve for x and y
Conjugate and Dividing

Polynomial Long Division

This is a Doc that is about long division and the Division Algorithm, including many more examples! Please read and work through at least two examples of each to get 1 Bonus Point on Test 2!

Click Here ....... Long Division of Polynomials


This is a video of how to do long division and the. Watch this and write down the examples he does in the video to get 1 Bonus Point on Test 2!

Click Here ....... Polynomial Division