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