P. Prerequisites: Fundamental Concepts of AlgebraP.1 Algebraic Expressions, Mathematical Models, and Real NumbersP.2 Exponents and Scientific NotationP.3 Radicals and Rational ExponentsP.4 Polynomials Mid-Chapter Check PointP.5 Factoring PolynomialsP.6 Rational Expressions SUMMARY, REVIEW, AND TEST REVIEW EXERCISES CHAPTER P TEST 1. Equations and Inequalities1.1 Graphs and Graphing Utilities1.2 Linear Equations and Rational Equations1.3 Models and Applications1.4 Complex Numbers1.5 Quadratic Equations Mid-Chapter Check Point1.6 Other Types of Equations1.7 Linear Inequalities and Absolute Value Inequalities SUMMARY, REVIEW, AND TEST REVIEW EXERCISES CHAPTER 1 TEST 2. Functions and Graphs2.1 Basics of Functions and Their Graphs2.2 More on Functions and Their Graphs2.3 Linear Functions and Slope2.4 More on Slope Mid-Chapter Check Point2.5 Transformations of Functions2.6 Combinations of Functions; Composite Functions2.7 Inverse Functions2.8 Distance and Midpoint Formulas; Circles SUMMARY, REVIEW, AND TEST REVIEW EXERCISES CHAPTER 2 TEST CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-2) 3. Polynomial and Rational Functions3.1 Quadratic Functions3.2 Polynomial Functions and Their Graphs3.3 Dividing Polynomials; Remainder and Factor Theorems3.4 Zeros of Polynomial Functions Mid-Chapter Check Point3.5 Rational Functions and Their Graphs3.6 Polynomial and Rational Inequalities3.7 Modeling Using Variation SUMMARY, REVIEW, AND TEST REVIEW EXERCISES CHAPTER 3 TEST CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-3) 410 4. Exponential and Logarithmic Functions4.1 Exponential Functions4.2 Logarithmic Functions4.3 Properties of Logarithms Mid-Chapter Check Point4.4 Exponential and Logarithmic Equations4.5 Exponential Growth and Decay; Modeling Data SUMMARY, REVIEW, AND TEST REVIEW EXERCISES CHAPTER 4 TEST CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-4) 5. Systems of Equations and Inequalities5.1 Systems of Linear Equations in Two Variables5.2 Systems of Linear Equations in Three Variables5.3 Partial Fractions5.4 Systems of Nonlinear Equations in Two Variables Mid-Chapter Check Point5.5 Systems of Inequalities5.6 Linear Programming SUMMARY, REVIEW, AND TEST REVIEW EXERCISES CHAPTER 5 TEST CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-5) 6. Matrices and Determinants6.1 Matrix Solutions to Linear Systems6.2 Inconsistent and Dependent Systems and Their Applications6.3 Matrix Operations and Their Applications Mid-Chapter Check Point6.4 Multiplicative Inverses of Matrices and Matrix Equations6.5 Determinants and Cramer's Rule SUMMARY, REVIEW, AND TEST REVIEW EXERCISES CHAPTER 6 TEST CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-6) 7. Sequences, Induction, and Probability7.1 Sequences and Summation Notation7.2 Arithmetic Sequences7.3 Geometric Sequences and Series Mid-Chapter Check Point7.4 Mathematical Induction7.5 The Binomial Theorem7.6 Counting Principles, Permutations, and Combinations7.7 Probability SUMMARY, REVIEW, AND TEST REVIEW EXERCISES CHAPTER 8 TEST CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-8) 8. Conic Sections8.1 The Ellipse8.2 The Hyperbola Mid-Chapter Check Point8.3 The Parabola SUMMARY, REVIEW, AND TEST REVIEW EXERCISES CHAPTER 7 TEST CUMULATIVE REVIEW EXERCISES (CHAPTERS 1-7) Appendix: Where Did That Come From? Selected ProofsAnswers to Selected ExercisesSubject IndexPhoto Credits

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