College Algebra

  1. Systems of Equations and Inequalities
    1. Systems of Linear Equations in Two Variables
      1. Types of Solutions
        1. Unique Solution
          1. No Solution
            1. Infinitely Many Solutions
            2. Graphical Method
              1. Intersection Points
                1. Parallel Lines
                  1. Identical Lines
                  2. Substitution Method
                    1. When to Use
                      1. Step-by-Step Process
                      2. Elimination Method
                        1. Adding Equations
                          1. Multiplying to Eliminate
                          2. Applications
                            1. Mixture Problems
                              1. Motion Problems
                                1. Business Problems
                              2. Systems of Linear Equations in Three Variables
                                1. Ordered Triple Solutions
                                  1. Gaussian Elimination
                                    1. Row Operations
                                      1. Row Echelon Form
                                        1. Back Substitution
                                        2. Applications in Three Variables
                                        3. Systems of Nonlinear Equations
                                          1. Types of Nonlinear Systems
                                            1. Substitution Method for Nonlinear Systems
                                              1. Elimination Method for Nonlinear Systems
                                                1. Graphical Solutions
                                                2. Systems of Inequalities
                                                  1. Graphing Linear Inequalities in Two Variables
                                                    1. Boundary Lines
                                                      1. Test Points
                                                        1. Shading Regions
                                                        2. Systems of Linear Inequalities
                                                          1. Solution Regions
                                                            1. Vertices of Feasible Regions
                                                            2. Applications
                                                              1. Linear Programming Introduction
                                                                1. Constraint Problems

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                                                            5. Exponential and Logarithmic Functions

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                                                            7. Matrices and Determinants