SAMPLE College Algebra

8 Absolute Value Functions ....................................... 239 8.1 Absolute Value Equations ............................................ 239 8.2 Absolute Value Inequalities .......................................... 242 8.3 Visual Absolute Value Functions ...................................... 244 8.4 Absolute Value Function Transformations ............................. 245 8.5 Absolute Value Function Problems .................................... 248 8.6 Absolute Value Function Solutions .................................... 252 9 Binomial Theorem ............................................... 255 9.1 The Fundamental Counting Principle ................................. 255 9.2 Factorials ........................................................... 257 9.3 Combinations & Permutations ........................................ 258 9.4 Binomial Expansion ................................................. 263 9.5 Binomial Theorem Problems ......................................... 268 9.6 Binomial Theorem Solutions ......................................... 270 10 Sequences and Series ............................................ 273 10.1 Linear vs. Nonlinear Sequences ....................................... 273 10.2 Arithmetic Sequences ............................................... 274 10.3 Recursive Sequences ................................................ 275 10.4 Geometric Sequence ................................................. 278 10.5 Series .............................................................. 279 10.6 Sequences and Series Problems ...................................... 281 10.7 Sequences and Series Solutions ....................................... 283 Bibliography ...................................................... 285 Articles ............................................................ 285 Books .............................................................. 286 Index ............................................................. 287 Appendices ....................................................... 289 A Fraction Operations .............................................. 289 A.1 Simplifying Fractions ................................................ 289 A.2 Adding and Subtracting Fractions ..................................... 291 A.3 Multiplying and Dividing Fractions .................................... 293