SAMPLE College Algebra

Contents

1 Linear Functions .................................................. 15 1.1 Graphs .............................................................. 15 1.2 Visual Linear Functions ............................................... 18 1.3 Solving for an Unknown .............................................. 26 1.4 Algebra of Linear Functions ........................................... 30 1.5 Systems of Equations ................................................. 46 1.6 Interpret and Apply .................................................. 53 1.7 Linear Functions Review Problems ..................................... 58 1.8 Linear Functions Review Solutions ..................................... 63 2 Inequalities and Quadratics ...................................... 65 2.1 Inequalities .......................................................... 65 2.2 Sets and Intervals .................................................... 71 2.3 Graphing Inequalities ................................................. 76 2.4 Nonlinear Functions .................................................. 80 2.5 Quadratics .......................................................... 85 2.6 Inequalities and Quadratics Problems ................................. 103 2.7 Inequalities and Quadratics Solutions ................................. 107 3 Quadratics II and Complex Numbers ........................... 109 3.1 The Quadratic Formula .............................................. 110 3.2 Completing the Square .............................................. 118 3.3 Visual Complex Numbers ............................................ 119 3.4 Complex Conjugation is Simple! ...................................... 121 3.5 Complex Number Operations ......................................... 122 3.6 Complex Quadratic Equations ........................................ 125 3.7 Quadratics II and Complex Numbers Problems ......................... 129 3.8 Quadratics II and Complex Numbers Solutions ......................... 131 4 Higher Degree Polynomials ..................................... 133 4.1 Applied Exponents .................................................. 133 4.2 Polynomials ........................................................ 136