Table of Contents Chapter R Review R.1 Real Numbers ............................................................................................................................ 1 R.2 Algebra Essentials ..................................................................................................................... 5 R.3 Geometry Essentials ................................................................................................................ 11 R.4 Polynomials ............................................................................................................................. 16 R.5 Factoring Polynomials ............................................................................................................ 23 R.6 Synthetic Division ................................................................................................................... 28 R.7 Rational Expressions ............................................................................................................... 30 R.8 nth Roots; Rational Exponents ................................................................................................ 40
Chapter 1 Equations and Inequalities 1.1 Linear Equations ...................................................................................................................... 50 1.2 Quadratic Equations................................................................................................................. 68 1.3 Complex Numbers; Quadratic Equations in the Complex Number System............................ 86 1.4 Radical Equations; Equations Quadratic in Form; Factorable Equations................................ 92 1.5 Solving Inequalities ............................................................................................................... 116 1.6 Equations and Inequalities Involving Absolute Value .......................................................... 127 1.7 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications ...... 137 Chapter Review ............................................................................................................................ 145 Chapter Test .................................................................................................................................. 153 Chapter Projects ............................................................................................................................ 155
Chapter 2 Graphs 2.1 The Distance and Midpoint Formulas ................................................................................... 156 2.2 Graphs of Equations in Two Variables; Intercepts; Symmetry ............................................. 169 2.3 Lines ...................................................................................................................................... 183 2.4 Circles .................................................................................................................................... 201 2.5 Variation ................................................................................................................................ 215 Chapter Review ............................................................................................................................ 221 Chapter Test .................................................................................................................................. 227 Cumulative Review ...................................................................................................................... 229 Chapter Project ............................................................................................................................. 231
Chapter 3 Functions and Their Graphs 3.1 Functions................................................................................................................................ 232 3.2 The Graph of a Function ........................................................................................................ 250 3.3 Properties of Functions .......................................................................................................... 259 3.4 Library of Functions; Piecewise-defined Functions .............................................................. 276 3.5 Graphing Techniques: Transformations ................................................................................ 288 3.6 Mathematical Models: Building Functions ........................................................................... 306 Chapter Review ............................................................................................................................ 314 Chapter Test .................................................................................................................................. 321 Cumulative Review ...................................................................................................................... 324 Chapter Projects ............................................................................................................................ 328
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