TY - GEN AU - Michael Holtfrerich TI - Essentials of College algebra T2 - Serie SN - 0-534-40194-5 AV - LCC PY - 2006/// CY - EUA PB - Thomson N1 - Contents 0 The Preliminaries Part 1: Algebra Review 1 1 0.1 Exponents, Roots, and Scientific Notation Exponents 2 Scientific Notation 3 Fractional Exponents 4 Operations on Radicals 7 The Rationalization of Denominators Section Summary 9 Practice Set 10 8 0.2 Polynomial Operations 12 13 Polynomial Addition and Subtraction Polynomial Multiplication 14 Polynomial Division 15 Section Summary 17 Practice Set 17 0.3 Factoring Polynomials The Greatest Common Factor (GCF) The FOIL Method-Factoring Trinomials Special Binomials Factorization by Grouping 24 25 Section Summary 26 Practice Set 27 19 20 21 0.4 Rational Expressions 31 How to Simplify a Rational Expression Operations on Rational Expressions Complex Fractions 35 Section Summary 37 Practice Set 38 31 31 0.5 Solving Linear and Absolute Value Equations 41 The Big Picture 41 Steps for Solving Linear Equations 44 2 Section Summary 769 Practice Set 770 8.4 Probability 776 Probability 776 The Use of the Complement 780 Section Summary. 783 Practice Set 783 Chapter Review 793 Chapter Exam 799 Appendix 1 Linear Inequalities and Systems of Inequalities A-1 Solving Linear Inequalities A-1 Solving Systems of Linear Inequalities Section Summary A-6 A-4 Practice Set A-6 Appendix 2 Linear Programming A-7 Optimization A-7 Practice Set A-12 Appendix 3 Variation A-14 Direct Variation A-14 Inverse Variation A-15 Section Summary A-17 Practice Set A-17 Answers to Selected Problems (Student Edition only) A-19 Co Graphing Answer Section A-19 (Annotated Instructor's Edition only)Contents 0 The Preliminaries Part 1: Algebra Review 1 1 0.1 Exponents, Roots, and Scientific Notation Exponents 2 Scientific Notation 3 Fractional Exponents 4 Operations on Radicals 7 The Rationalization of Denominators Section Summary 9 Practice Set 10 8 0.2 Polynomial Operations 12 13 Polynomial Addition and Subtraction Polynomial Multiplication 14 Polynomial Division 15 Section Summary 17 Practice Set 17 0.3 Factoring Polynomials The Greatest Common Factor (GCF) The FOIL Method-Factoring Trinomials Special Binomials Factorization by Grouping 24 25 Section Summary 26 Practice Set 27 19 20 21 0.4 Rational Expressions 31 How to Simplify a Rational Expression Operations on Rational Expressions Complex Fractions 35 Section Summary 37 Practice Set 38 31 31 0.5 Solving Linear and Absolute Value Equations 41 The Big Picture 41 Steps for Solving Linear Equations 44 2 Section Summary 769 Practice Set 770 8.4 Probability 776 Probability 776 The Use of the Complement 780 Section Summary. 783 Practice Set 783 Chapter Review 793 Chapter Exam 799 Appendix 1 Linear Inequalities and Systems of Inequalities A-1 Solving Linear Inequalities A-1 Solving Systems of Linear Inequalities Section Summary A-6 A-4 Practice Set A-6 Appendix 2 Linear Programming A-7 Optimization A-7 Practice Set A-12 Appendix 3 Variation A-14 Direct Variation A-14 Inverse Variation A-15 Section Summary A-17 Practice Set A-17 Answers to Selected Problems (Student Edition only) A-19 Co Graphing Answer Section A-19 (Annotated Instructor's Edition only); Ingeniería Industrial N2 - EDITION that students w lectractors wipp Preface To the Student You are about to begin your journey through college algebra. In general, the study of math is about learning to think in an orderly fashion, using logic and common sense Math is a language and, as such, is not learned overnight, so be patient. College algebra typically covers a wide range of topics to address a variety of college majors. For this reason, we include a lot of different applications in this text to help you see the usefulness of math in many areas of interest. Many concepts in math show up again and again in various applications and topics within algebra. You may recognize some of them from prior math classes. This text has been constructed to help you absorb these reoccurring concepts in the following ways: We made this text easy to read and understand We oriented the discussion portions of this text to be like your experience in the classroom. We believe that if you take the time to read ahead before you go to class, you will find yourself understanding more than ever before in a math class, and more quickly too. We designed each section to have four basic features: Discussions, Examples. Question Boxes, and a Practice Set. The Discussion items are there to help you understand the concepts. They explain why math works the way it does. Exam-ples are there to help you see how those concepts are used in concrete ways. Refer to them if you have questions when you are working on the Practice Set. The Question Boxes are there to help you measure whether or not you've mas-tered the concepts, and will help you to think mathematically. The Practice Set gives you a chance to practice what you've learned. All four features will help you see connections among various mathematical concepts and how they relate to the world around you. We created plenty of review material for you. The Chapter Review is a list of the most important concepts and the sections in which they are covered, the Review Practice Set gives you a chance to work even more problems from the chapter, and the Chapter Exam will serve as good practice for your own class exams. We also created a Student Solutions Manual in case you have difficulty with the Practice Sets. The Student Solutions Manual has all of the odd-numbered exercises worked out in detail and will walk you through the process of solving those problems. We believe that you are about to begin an enjoyable adventure, learning the many facets of mathematics. Good luck on having a very successful semester! Best wishes, Michael Holtfrerich and Jack Haughn ER -