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CONTENTS A Brief Guide to Getting the Most from This Book Preface To The Student About the Author Chapter 1: Algebra, Mathematical Models, and Problem Solving 1.1 Algebraic Expressions and Real Numbers 1.2 Operations with Real Numbers and Simplifying Algebraic Expressions 1.3 Graphing Equations 1.4 Solving Linear Equations Mid-Chapter Check Point 1.5 Problem Solving and Using Formulas 1.6 Problems of Integral Exponents 1.7 Scientific Notation Chapter 1 Group Project Summary Review Exercises Chapter 1 Test 2.1 Introduction to Functions 2.2 The Algebra of Functions Mid-Chapter Check Point 2.3 Linear Functions and Slope 2.4 The Point-Slope Form of the Equation of a Line Chapter 2 Group Project Summary Review Exercises Chapter 2 Test Cumulative Review Exercises (Chapters 1-2) 3.1 Systems of Linear Equations in Two Variables 3.2 Problem Solving and Business Applications Using Systems of Equations 3.3 Systems of Linear Equations in Three Variables Mid-Chapter Check point 3.4 Matrix Solutions to Linear Systems 3.5 Determinants and Cramer's Rule Chapter 3 Group Project Summary Review Exercises Chapter 3 Test Chapter 4: Inequalities and Problem Solving 4.1 Solving Linear Inequalities 4.2 Compound Inequalities 4.3 Equations and Inequalities Involving Absolute Value Mid-Chapter Check Point 4.4 Linear Inequalities in Two Variables 4.5 Linear Programming Chapter 4 Group Project Summary Review Exercises Chapter 4 Test Cumulative Review Exercises (Chapters 1-4) 5.1 Introduction to Polynomials and Polynomial Functions 5.2 Multiplication of Polynomials 5.3 Greatest Common Factors and Factoring By Grouping 5.4 Factoring Trinomials Mid-Chapter Check Point 5.5 Factoring Special Forms 5.6 A General Factoring Strategy 5.7 Polynomial Equations and Their Applications Chapter 5 Group Project Summary Review Exercises Chapter 5 Test 6.1 Rational Expressions and Functions: Multiplying and Dividing 6.2 Adding and Subtracting Rational Expressions 6.3 Complex Rational Expressions 6.4 Division of Polynomials Mid-Chapter Check Point 6.5 Synthetic Division and the Remainder Theorem 6.6 Rational Equations 6.7 Formulas and Applications of Rational Equations 6.8 Modeling Using Variation Chapter 6 Group Project Summary Review Exercises Chapter 6 Test Cumulative Review Exercises (Chapters 1-6) 7.1 Radical Expressions and Functions 7.2 Rational Exponents 7.3 Multiplying and Simplifying Radical Expressions 7.4 Adding, Subtracting, and Dividing Radical Expressions Mid-Chapter Check Point 7.5 Multiplying with More Than One Term and Rationalizing Denominators 7.6 Radical Equations 7.7 Complex Numbers Chapter 7 Group Project Summary Review Exercises Chapter 7 Test 8.1 The Square Root Property and Completing the Square 8.2 The Quadratic Formula 8.3 Quadratic Functions and Their Graphs Mid-Chapter Check Point 8.4 Equations Quadratic in Form 8.5 Polynomial and Rational Inequalities Chapter 8 Group Project Summary Review Exercises Chapter 8 Test Cumulative Review Exercises (Chapters 1-8) 9.1 Exponential Functions 9.2 Composite and Inverse Functions 9.3 Logarithmic Functions 9.4 Properties of Logarithms Mid-Chapter Check Point 9.5 Exponential and Logarithmic Equations 9.6 Exponential Growth and Decay; Modeling Data Chapter 9 Group Project Summary Review Exercises Chapter 9 Test 10.1 Distance and Midpoint Formulas; Circles 10.2 The Ellipse 10.3 The Hyperbola Mid-Chapter Check Point 10.4 The Parabola; Identifying Conic Sections 10.5 Systems of Nonlinear Equations in Two Variables Chapter 10 Group Project Summary Review Exercises Chapter 10 Test Cumulative Review Exercises (Chapters 1-10) 11.1 Polynomial Functions and Their Graphs 11.2 Zeros of Polynomial Functions Mid-Chapter Check Point 11.3 Rational Functions and Their Graphs Chapter 11 Group Project Summary Review Exercises Chapter 11 Test Cumulative Review Exercises (Chapters 1-11) 12. Sequences, Induction, and Probability 12.1 Sequences and Summation Notation 12.2 Arithmetic Sequences 12.3 Geometric Sequences and Series Mid-Chapter Check Point 12.4 The Binomial Theorem 12.5 Mathematical Induction 12.6 Counting Principles, Permutations, and Combinations 12.7 Probability Cumulative Review Exercises (Chapters 1-12) APPENDIX Where Did That Come From? Selected Proofs Answers to Selected Exercises Graphing Answer Section Application Index Subject Index Photo Credits Table of Contents
Chapter 2: Functions and Linear Functions
Chapter 3: Systems of Linear Equations
Chapter 5: Polynomials, Polynomial Functions, and Factoring
Chapter 6: Rational Expressions, Functions, and Equations
Chapter 7: Radicals, Radical Functions, and Rational Exponents
Chapter 8: Quadratic Equations and Functions
Chapter 9: Exponential and Logarithmic Functions
Chapter 10: Conic Sections and Systems of Nonlinear Equations
11. More on Polynomial and Rational Functions
Get Algebra for College Students, 5th Edition by Robert F. Blitzer, Miami Dade College
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