Algebra Books

Book SynopsisElayn Martin-Gay has taught mathematics at the University of New Orleans for more than 25 years. Her numerous teaching awards include the local University Alumni Association's Award for Excellence in Teaching, and Outstanding Developmental Educator at University of New Orleans, presented by the Louisiana Association of Developmental Educators. Prior to writing textbooks, Elayn Martin-Gay developed an acclaimed series of lecture videos to support developmental mathematics students. These highly successful videos originally served as the foundation materials for her texts. Today, the videos are specific to each book in her series. She has also created Chapter Test Prep Videos to help students during their most teachable moment as they prepare for a test along with Instructor-to-Instructor videos that provide teaching tips, hints, and suggestions for every developmental mathematics course, including basic mathematics, prealgebra, beginning algTable of ContentsTable of Contents Prealgebra Review R.1 Factors and the Least Common Multiple R.2 Fractions R.3 Decimals and Percents Group Activity Vocabulary Check Chapter Highlights Chapter Review Chapter Test Real Numbers and Introduction to Algebra 1.1 Study Skills Tips for Sucess in Mathematics 1.2 Symbols and Sets of Numbers 1.3 Expnents, Order of Operations, and Variable Expressions 1.4 Adding Real Numbers 1.5 Subtracting Real Numbers Integrated Review - Operations on Real Numbers 1.6 Multiplying and Dividing Real Numbers 1.7 Properties of Real Numbers 1.8 Simplifying Expressions Group Activity Vocabulary Check Chapter Highlights Chapter Review Chapter Test Equations, Inequalities, and Problem Solving 2.1 The Addition Property of Equality 2.2 The Multiplication Property of Equality 2.3 Further Solving Linear Equations Integrated Review - Solving Linear Equations 2.4 An Introduction to Problem Solving 2.5 Formulas and Problem Solving 2.6 Percent and Mixture Problem Solving 2.7 Linear Inequalities and Problem Solving Group Activity Vocabulary Check Chapter Highlights Chapter Review Chapter Test Cumulative Review Graphing Equations and Inequalities 3.1 Reading Graphs and the Rectangular Coordinate System 3.2 Graphing Linear Equations 3.3 Intercepts 3.4 Slope and Rate of Change Integrated Review - Summary on Solving Linear Equations 3.5 Equations of Lines 3.6 Graphing Linear Inequalities in Two Variables Group Activity Vocabulary Check Chapter Highlights Chapter Review Chapter Test Cumulative Review Systems of Equations 4.1 Solving Systems of Linear Equations by Graphing 4.2 Solving Systems of Linear Equations by Substitution Integrated Review - Summary on Solving Systems of Equations 4.3 Solving Systems of Linear Equations by Addtion 4.4 Systems of Linear Equations and Problem Solving Group Activity Vocabulary Check Chapter Highlights Chapter Review Chapter Test Cumulative Review Exponents and Polynomials 5.1 Exponents 5.2 Negative Exponents and Scientific Notation 5.3 Introduction to Polynomials 5.5 Multiplying Polynomials 5.6 Special Products Integrated Review - Exponents and Operations on Polynomials 5.7 Dividing Polynomials Group Activity Vocabulary Check Chapter Highlights Chapter Review Chapter Test Cumulative Review Factoring Polynomials 6.1 The Greatest Common Factor and Factoring by Grouping 6.2 Factoring Trinomials of the Form x2 + bx + c 6.3 Factoring Trinomials of the Form ax2 + bx + c 6.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping 6.5 Factoring by Special Products Integrated Review - Choosing a Factoring Strategy 6.6 Solving Quadratic Equations and Problem Solving Group Activity Vocabulary Check Chapter Highlights Chapter Review Chapter Test Cumulative Review Rational Expressions 7.1 Simplifying Rational Expressions 7.2 Multiplying and Dividing Rational Expressions 7.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator 7.4 Adding and Subtracting Rational Expressions with Different Denominators 7.5 Solving Equations Containing Rational Expressions Integrated Review - Summary on Rational Expressions 7.6 Proportions and Problem Solving with Rational Equations 7.7 Simplifying Complex Fractions Group Activity Vocabulary Check Chapter Highlights Chapter Review Chapter Test Cumulative Review Graphs and Functions 8.1 Review of Equations of Lines and Writing Parallel and Perpendicular Lines 8.2 Introduction to Functions 8.3 Polynomial and Rational Functions Integrated Review - Linear Equations in Two Variables and Functions 8.4 Interval Notation, Finding Domains and Ranges from Graphs, and Graphing Piecewise-Defined Functions 8.5 Shifting and Reflecting Graphs of Functions Group Activity Vocabulary Check Chapter Highlights Chapter Review Chapter Test Cumulative Review Systems of Equations and Inequalities and Variation 9.1 Solving Systems of Linear Equations in Three Variables and Problem Solving 9.2 Solving Systems of Equations Using Matrices Integrated Review - Systems of Linear Equations 9.3 Systems of Linear Inequalities 9.4 Variation and Problem Solving Group Activity Vocabulary Check Chapter Highlights Chapter Review Chapter Test Cumulative Review Rational Exponents, Radicals, and Complex Numbers 10.1 Radical Expressions and Radical Functions 10.2 Rational Exponents 10.3 Simplifying Radical Expressions 10.4 Adding, Subtracting, and Multiplying Radical Expressions 10.5 Rationalizing Numerators and Denominators of Radical Expressions Integrated Review - Radicals and Rational Exponents 10.6 Radical Equations and Problem Solving 10.7 Complex Numbers Group Activity Vocabulary Check Chapter Highlights Chapter Review Chapter Test Cumulative Review Quadratic Equations and Functions 11.1 Solving Quadratic Equations by Completing the Square 11.2 Solving Quadratic Equations by Using the Quadratic Formula 11.3 Solving Equations by Using Quadratic Methods Integrated Review - Summary on Solving Quadratic Equations 11.4 Nonlinear Inequalities in One Variable 11.5 Quadratic Functions and Their Graphs 11.6 Further Graphing of Quadratic Functions Group Activity Vocabulary Check Chapter Highlights Chapter Review Chapter Test Cumulative Review Exponential and Logarithmic Functions 12.1 The Algebra of Functions 12.2 Inverse Functions 12.3 Exponential Functions 12.4 Exponential Functions 12.5 Logarithmic Functions 12.6 Properties of Logarithms Integrated Review - Functions and Properties of Logarithms 12.7 Common Logarithms, Natural Logarithms, and Change of Base 12.8 Exponential and Logarithmic Equations and Problem Solving Group Activity Vocabulary Check Chapter Highlights Chapter Review Chapter Test Cumulative Review Conic Sections 13.1 The Parabola and the Circle 13.2 The Ellipse and the Hyperbola Integrated Review - Graphing Conic Sections 13.3 Solving Nonlinear Systems of Equations 13.4 Nonlinear Inequalities and Systems of Inequalities Group Activity Vocabulary Check Chapter Highlights Chapter Review Chapter Test Cumulative Review Appendices Appendix A: Transition Review: Exponents, Polynomials, and Factoring Strategies Appendix B: Transition Review: Solving Linear and Quadratic Equations Appendix C: Sets and Compound Inequalities Appendix D: Absolute Value Equations and Inequalities Appendix E: Determinants and Cramer’s Rule Appendix F: Review of Angles, Lines, and Special Triangles Appendix G: Stretching and Compressing Graphs of Absolute Value Functions Appendix H: An Introduction to Using a Graphing Utility

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Book SynopsisMarvin Bittinger taught math at the university level for more than thirty-eight years. Most of that time, he taught at Indiana University Purdue University Indianapolis where he is now Professor Emeritus of mathematics education. Professor Bittinger has authored textbooks on topics ranging from basic mathematics, to algebra and trigonometry, to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled Baseball and Mathematics. His hobbies include hiking in Utah, baseball, golf, and bowling. In addition, he also has an interest in philosophy and theology, particularly in apologetics. Prof

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Book SynopsisBob Blitzer is a native of Manhattan and received a Bachelor of Arts degree with dual majors in mathematics and psychology (minor: English literature) from the City College of New York. His unusual combination of academic interests led him toward a Master of Arts in mathematics from the University of Miami and a doctorate in behavioral sciences from Nova University. Bob is energized by teaching mathematics and has taught a variety of mathematics courses at Miami-Dade College for nearly 30 years. He has received numerous teaching awards, including Innovator of the Year from the League for Innovations in the Community College, and was among the first group of recipients at Miami-Dade College for an endowed chair based on excellence in the classroom. Bob has written Developmental Mathematics: Prealgebra, Introductory & Intermediate Algebra All in One; Pathways to College Mathematics; Introductory Algebra for College Students; Intermediate Algebra for ColleTable of ContentsTable of Contents Preface Supplement List Acknowledgements To the Student About the Author Prealgebra Pathways P.1 Whole Numbers P.2 Fractions and Mixed Numbers P.3 Simplifying Fractions; Operations with Fractions P.4 Decimals Mid-Chapter Check Point P.5 Operations with Decimals P.6 Fractions and Decimals P.7 Percents, Decimals, and Fractions Chapter P Summary Review Exercises Chapter P Test Numerical Pathways 1.1 Sets, Venn Diagrams, and Set Operations 1.2 The Integers; Order of Operations 1.3 The Rational Numbers 1.4 The Irrational Numbers Mid-Chapter Check Point 1.5 Real Numbers and their Properties 1.6 Exponents and Scientific Notation 1.7 Arithmetic and Geometric Sequences Chapter 1 Summary Review Exercises Chapter 1 Test Algebraic Pathways: Equations and Inequalities 2.1 Algebraic Expression and Formulas 2.2 Linear Equations in One Variable 2.3 Applications of Linear Equalities Mid-Chapter Check Point 2.4 Ratios, Rates, and Proportions 2.5 Modeling Using Variation 2.6 Linear Equalities in One Variable Chapter 2 Summary Review Exercises Chapter 2 Test Algebraic Pathways: Graphs, Functions, Linear Functions, and Linear Systems 3.1 Graphing and Functions 3.2 Linear Functions and Their Graphs 3.3 The Point-Slope Form of the Equation of a Line; Scatter Plots and Regression Lines Mid-Chapter Check Point 3.4 Systems of Linear Equations in Two Variables 3.5 Linear Equalities in Two Variables Chapter 3 Summary Review Exercises Chapter 3 Test Algebraic Pathways: Polynomials, Quadratic Equations, and Quadratic Functions 4.1 Operations with Polynomials; Polynomial Functions 4.2 Factoring Polynomials Mid-Chapter Check Point 4.3 Solving Quadratic Equations by Factoring 4.4 Solving Quadratic Equations by the Square Root Property and the Quadratic Formula 4.5 Quadratic Functions and Their Graphs Chapter 4 Summary Review Exercises Chapter 4 Test Geometric Pathways: Measurement 5.1 Measuring Length; The Metric System 5.2 Measuring Area and Volume Mid-Chapter Check Point 5.3 Measuring Weight and Temperature Chapter 5 Summary Review Exercises Chapter 5 Test Geometric Pathways 6.1 Points, Lines, Planes, and Angles 6.2 Triangles 6.3 Polygons, Perimeter, and Tessellations Mid-Chapter Check Point 6.4 Area and Circumference 6.5 Volume 6.6 A STEM Application: Right Triangle Trigonometry Chapter 6 Summary Review Exercises Chapter 6 Test Pathways to Probability: Counting Methods and Probability Theory 7.1 The Fundamental Counting Principle 7.2 Permutations 7.3 Combinations 7.4 Fundamentals of Probability Mid-Chapter Check Point 7.5 Probability with the Fundamental Counting Principle, Permutations, and Combinations 7.6 Events Involving Not and Or; Odds 7.7 Events Involving And; Conditional Probability Chapter 7 Summary Review Exercises Chapter 7 Test Statistical Pathways 8.1 Sampling, Frequency Distributions, and Graphs 8.2 Measures of Central Tendency Mid-Chapter Check Point 8.3 Measures of Dispersion 8.4 The Normal Distribution Chapter 8 Summary Review Exercises Chapter 8 Test Answers to Selected Exercises Subject Index Index of Applications

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Book SynopsisAbout our author Bob Blitzer is a native of Manhattan and received a Bachelor of Arts degree with dual majors in mathematics and psychology (minor: English literature) from the City College of New York. His unusual combination of academic interests led him toward a Master of Arts in mathematics from the University of Miami and a doctorate in behavioral sciences from Nova University. Bob's love for teaching mathematics was nourished for nearly 30 years at Miami Dade College, where he received numerous teaching awards, including Innovator of the Year from the League for Innovations in the Community College and an endowed chair based on excellence in the classroom. In addition to Pathways to College Mathematics, Bob has written textbooks covering developmental mathematics, algebra & trigonometry, trigonometry, college algebra, precalculus, and liberal arts mathematics, all published by Pearson. When not secluded in his Northern California writTable of ContentsTable of Contents Preface Supplement List Acknowledgements To the Student About the Author Prealgebra Pathways P.1 Whole Numbers P.2 Fractions and Mixed Numbers P.3 Simplifying Fractions; Operations with Fractions P.4 Decimals Mid-Chapter Check Point P.5 Operations with Decimals P.6 Fractions and Decimals P.7 Percents, Decimals, and Fractions Chapter P Summary Review Exercises Chapter P Test Numerical Pathways 1.1 Sets, Venn Diagrams, and Set Operations 1.2 The Integers; Order of Operations 1.3 The Rational Numbers 1.4 The Irrational Numbers Mid-Chapter Check Point 1.5 Real Numbers and their Properties 1.6 Exponents and Scientific Notation 1.7 Arithmetic and Geometric Sequences Chapter 1 Summary Review Exercises Chapter 1 Test Algebraic Pathways: Equations and Inequalities 2.1 Algebraic Expression and Formulas 2.2 Linear Equations in One Variable 2.3 Applications of Linear Equalities Mid-Chapter Check Point 2.4 Ratios, Rates, and Proportions 2.5 Modeling Using Variation 2.6 Linear Equalities in One Variable Chapter 2 Summary Review Exercises Chapter 2 Test Algebraic Pathways: Graphs, Functions, Linear Functions, and Linear Systems 3.1 Graphing and Functions 3.2 Linear Functions and Their Graphs 3.3 The Point-Slope Form of the Equation of a Line; Scatter Plots and Regression Lines Mid-Chapter Check Point 3.4 Systems of Linear Equations in Two Variables 3.5 Linear Equalities in Two Variables Chapter 3 Summary Review Exercises Chapter 3 Test Algebraic Pathways: Polynomials, Quadratic Equations, and Quadratic Functions 4.1 Operations with Polynomials; Polynomial Functions 4.2 Factoring Polynomials Mid-Chapter Check Point 4.3 Solving Quadratic Equations by Factoring 4.4 Solving Quadratic Equations by the Square Root Property and the Quadratic Formula 4.5 Quadratic Functions and Their Graphs Chapter 4 Summary Review Exercises Chapter 4 Test Geometric Pathways: Measurement 5.1 Measuring Length; The Metric System 5.2 Measuring Area and Volume Mid-Chapter Check Point 5.3 Measuring Weight and Temperature Chapter 5 Summary Review Exercises Chapter 5 Test Geometric Pathways 6.1 Points, Lines, Planes, and Angles 6.2 Triangles 6.3 Polygons, Perimeter, and Tessellations Mid-Chapter Check Point 6.4 Area and Circumference 6.5 Volume 6.6 A STEM Application: Right Triangle Trigonometry Chapter 6 Summary Review Exercises Chapter 6 Test Pathways to Probability: Counting Methods and Probability Theory 7.1 The Fundamental Counting Principle 7.2 Permutations 7.3 Combinations 7.4 Fundamentals of Probability Mid-Chapter Check Point 7.5 Probability with the Fundamental Counting Principle, Permutations, and Combinations 7.6 Events Involving Not and Or; Odds 7.7 Events Involving And; Conditional Probability Chapter 7 Summary Review Exercises Chapter 7 Test Statistical Pathways 8.1 Sampling, Frequency Distributions, and Graphs 8.2 Measures of Central Tendency Mid-Chapter Check Point 8.3 Measures of Dispersion 8.4 The Normal Distribution Chapter 8 Summary Review Exercises Chapter 8 Test Answers to Selected Exercises Subject Index Index of Applications

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Book SynopsisTable of Contents1. Whole Numbers 1.1 Introduction to Whole Numbers 1.2 Adding and Subtracting Whole Numbers; Perimeter 1.3 Multiplying and Dividing Whole Numbers; Area 1.4 Exponents, Variables, and Algebraic Expressions 1.5 Rounding and Estimating; Square Roots 1.6 Order of Operations 1.7 More with Equations and Problem Solving Summary - Review Exercises - Test 2. Integers 2.1 Integers and the Number Line 2.2 Adding Integers 2.3 Subtracting Integers 2.4 Multiplying and Dividing Integers 2.5 Order of Operations; Averages 2.6 Solving Equations with Integer Solutions Summary - Review Exercises - Test Chapters 1-2 Cumulative Review 3. Algebraic Expressions And Linear Equations 3.1 Simplifying Algebraic Expressions 3.2 Translating Words to Equations 3.3 Properties of Equality 3.4 Solving Linear Equations 3.5 Applications and Problem Solving Summary - Review Exercises - Test Chapters 1-3 Cumulative Review 4. Fractions 4.1 Introduction to Fractions and Mixed Numbers 4.2 Prime Factorization and Lowest Terms 4.3 Multiplying and Dividing Fractions 4.4 Adding and Subtracting Fractions-Like Denominators 4.5 Adding and Subtracting Fractions-Unlike Denominators 4.6 Operations on Mixed Numbers 4.7 Complex Fractions and Order of Operations 4.8 Solving Equations Involving Fractions Summary - Review Exercises - Test Chapters 1-4 Cumulative Review 5. Decimals 5.1 Introduction to Decimals 5.2 Adding and Subtracting Decimals 5.3 Multiplying and Dividing Decimals 5.4 Real Numbers, Square Roots, and Order of Operations 5.5 Solving Equations Involving Decimals 5.6 Applications from Geometry and Statistics Summary - Review Exercises - Test Chapters 1-5 Cumulative Review 6. Ratios, Proportions, And Measurement 6.1 Ratios and Rates 6.2 Proportions and Similar Figures 6.3 The American System of Measurement 6.4 The Metric System of Measurement 6.5 American-Metric Conversions; Temperature 6.6 Time and Speed Summary - Review Exercises - Test Chapters 1-6 Cumulative Review 7. Percents 7.1 Introductions to Percents; Circle Graphs 7.2 Using Equations to Solve Percent Problems 7.3 Using Proportions to Solve Percent Problems 7.4 Applications Sales Tax, Discounts, and Net Pay 7.5 Applications Simple and Compound Interest 7.6 Probability and Percent Chance Summary - Review Exercises - Test Chapters 1-7 Cumulative Review 8. Exponents And Polynomials 8.1 Rules for Exponents 8.2 Negative Exponents and Scientific Notation 8.3 Adding and Subtracting Polynomials 8.4 Multiplying and Factoring Polynomials Summary - Review Exercises - Test Chapters 1-8 Cumulative Review 9. Introduction To Graphing 9.1 The Rectangular Coordinate System 9.2 Graphing Linear Equations in Two Variables 9.3 Graphical Solutions to Linear Equations 9.4 Solving Applications Using Graphs Summary - Review Exercises - Test Chapters 1-9 Cumulative Review 10. Geometry 10.1 Plane Geometry; Points, Lines and Angles 10.2 Triangles 10.3 Polygons and Circles 10.4 Perimeter and Circumference 10.5 Area, Volume, and Surface Area Summary - Review Exercises - Test Chapters 1-10 Cumulative Review Appendix Using the Graphing Calculator Answers to Selected Exercises Glossary Photo Credits Index

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Book SynopsisTable of ContentsCalculus Topic: Review of Basics 1. Numbers and Their Disguises Multiplying and dividing fractions, adding and subtracting fractions, parentheses, exponents, roots, percent, scientific notation, calculators, rounding, intervals Calculus Topic: Circles, Parabolas, etc. 2. Completing the Square Completing the square in one and two variables Calculus Topic: Equations 3. Solving Equations Equations of degree 1 and 2, solving other types of equations, rational equations, the zero-factor property Calculus Topic: Algebraic Functions and Graphs 4. Functions and Their Graphs Introduction, equations of lines, power functions, shifting graphs, intersection of curves Calculus Topic: Transcendental Functions 5. Cyclic Phenomena: The Six Basic Trigonometric Functions Angles, definitions of the six trigonometric functions, basic identities, special angles, sum formulas, graphs of complex trigonometric functions 6. Exponential Functions The family of exponentials, the function ex 7. Composition and Inverse Functions Composite functions, the idea of inverses, finding an inverse of f given by a graph, finding the inverse of f given by an expression 8. Logarithmic Functions Definition of logarithms, logs as inverses of exponential functions, laws of logarithms, the natural logarithm 9. Inverse Trigonometric Functions The definition of arcsin x, the functions arctan x and arcsec x, inverse trigonometric identities Calculus Topic: Limits 10. Changing the Form of a Function Factoring, canceling, long division, rationalizing, extracting a factor from under a root Calculus Topic: Derivatives 11. Simplifying Algebraic Expressions Working with difference quotients and rational functions, canceling common factors, rationalizing expressions Calculus Topic: The Chain Rule 12. Decomposition of Functions Inner, outer, and outermost functions, decomposing composite functions Calculus Topic: Implicit Differentiation 13. Equations of Degree 1 Revisited Solving linear equations involving derivatives Calculus Topic: Related Rates, Applied Max-Min Problems 14. Word Problems, Algebraic and Transcendental Applied Max-Min Problems, Algebraic word problems, the geometry of rectangles, circles and spheres, trigonometric word problems, right angle triangles, the law of sines and the law of cosines, exponential growth and decay Calculus Topic: Integrating Trigonometric Functions 15. Trigonometric Identities Rewriting trigonometric expressions using identities. Appendices A. The Binomial Theorem B. Derivation of The Quadratic Formula Answers to Exercises Index

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Book SynopsisTable of Contents1. Introduction to Functions and Graphs 1.1 Numbers, Data, and Problem Solving 1.2 Visualizing and Graphing Data 1.3 Functions and Their Representations 1.4 Types of Functions 1.5 Functions and Their Rates of Change 2. Linear Functions and Equations 2.1 Linear Functions and Models 2.2 Equations of Lines 2.3 Linear Equations 2.4 Linear Inequalities 2.5 Absolute Value Equations and Inequalities 3. Quadratic Functions and Equations 3.1 Quadratic Functions and Models 3.2 Quadratic Equations and Problem Solving 3.3 Complex Numbers 3.4 Quadratic Inequalities 3.5 Transformations of Graphs 4. More Nonlinear Functions and Equations 4.1 More Nonlinear Functions and Their Graphs 4.2 Polynomial Functions and Models 4.3 Division of Polynomials 4.4 Real Zeros of Polynomial Functions 4.5 The Fundamental Theorem of Algebra 4.6 Rational Functions and Models 4.7 More Equations and Inequalities 4.8 Radical Equations and Power Functions 5. Exponential and Logarithmic Functions 5.1 Combining Functions 5.2 Inverse Functions and Their Representations 5.3 Exponential Functions and Models 5.4 Logarithmic Functions and Models 5.5 Properties of Logarithms 5.6 Exponential and Logarithmic Equations 5.7 Constructing Nonlinear Models 6. Systems of Equations and Inequalities 6.1 Functions and Systems of Equations in Two Variables 6.2 Systems of Inequalities in Two Variables 6.3 Systems of Linear Equations in Three Variables 6.4 Solutions to Linear Systems Using Matrices 6.5 Properties and Applications of Matrices 6.6 Inverses of Matrices 6.7 Determinants Reference: Basic Concepts from Algebra and Geometry R.1 Formulas from Geometry R.2 Integer Exponents R.3 Polynomial Expressions R.4 Factoring Polynomials R.5 Rational Expressions R.6 Radical Notation and Rational Exponents R.7 Radical Expressions Appendix A: Using the Graphing Calculator Appendix B: A Library of Functions Appendix C: Partial Fractions

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Book SynopsisTable of Contents1. Introduction to Algebra 1.1 Numbers, Variables, and Expressions 1.2 Fractions 1.3 Exponents and Order of Operations 1.4 Real Numbers and the Number Line 1.5 Addition and Subtraction of Real Numbers 1.6 Multiplication and Division of Real Numbers 1.7 Properties of Real Numbers 1.8 Simplifying and Writing Algebraic Expressions 2. Linear Equations and Inequalities 2.1 Introduction to Equations 2.2 Linear Equations 2.3 Introduction to Problem Solving 2.4 Formulas 2.5 Linear Inequalities 3. Graphing Equations 3.1 Introduction to Graphing 3.2 Linear Equations in Two Variables 3.3 More Graphing of Lines 3.4 Slope and Rates of Change 3.5 Slope-Intercept Form 3.6 Point-Slope Form 3.7 Introduction to Modeling 4. Systems of Linear Equations In Two Variables 4.1 Solving Systems of Linear Equations Graphically and Numerically 4.2 Solving Systems of Linear Equations by Substitution 4.3 Solving Systems of Linear Equations by Elimination 4.4 Systems of Linear Inequalities 5. Polynomials and Exponents 5.1 Rules for Exponents 5.2 Addition and Subtraction of Polynomials 5.3 Multiplication of Polynomials 5.4 Special Products 5.5 Integer Exponents and the Quotient Rule 5.6 Division of Polynomials 6. Factoring Polynomials and Solving Equations 6.1 Introduction to Factoring 6.2 Factoring Trinomials I (x + bx + c) 6.3 Factoring Trinomials II (ax2 + bx + c) 6.4 Special Types of Factoring 6.5 Summary of Factoring 6.6 Solving Equations by Factoring I (Quadratics) 6.7 Solving Equations by Factoring II (Higher Degree) 7. Rational Expressions 7.1 Introduction to Rational Expressions 7.2 Multiplication and Division of Rational Expressions 7.3 Addition and Subtraction with Like Denominators 7.4 Addition and Subtraction with Unlike Denominators 7.5 Complex Fractions 7.6 Rational Equations and Formulas 7.7 Proportions and Variation 8. Radical Expressions 8.1 Introduction to Radical Expressions 8.2 Multiplication and Division of Radical Expressions 8.3 Addition and Subtraction of Radical Expressions 8.4 Simplifying Radical Expressions 8.5 Equations Involving Radical Expressions 8.6 Higher Roots and Rational Exponents 9. Quadratic Equations 9.1 Parabolas 9.2 Introduction to Quadratic Equations 9.3 Solving by Completing the Square 9.4 The Quadratic Formula 9.5 Complex Solutions 9.6 Introduction to Functions Appendix A: Using the Graphing Calculator Appendix B: Sets Answers to Selected Exercises Glossary Bibliography Photo Credits Index

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Book SynopsisTable of ContentsReview Chapter R.1 Real Numbers R.2 The Order of Operations and Algebraic Expressions R.3 The Laws of Exponents; Radicals R.4 Polynomials R.5 Factoring Polynomials R.6 Rational Expressions 1. Equations, Inequalities, and Applications 1.1 Linear Equations 1.2 Applications of Linear Equations 1.3 Complex Numbers 1.4 Quadratic Equations 1.5 Applications of Quadratic Equations 1.6 Other Types of Equations 1.7 Linear Inequalities 1.8 Absolute Value Equations and Inequalities 1.9 Polynomial and Rational Inequalities 2. The Rectangular Coordinate System, Lines, and Circles 2.1 The Rectangular Coordinate System 2.2 Circles 2.3 Lines 2.4 Parallel and Perpendicular Lines 3. Functions 3.1 Relations and Functions 3.2 Properties of a Function's Graph 3.3 Graphs of Basic Functions; Piecewise Functions 3.4 Transformations of Functions 3.5 The Algebra of Functions; Composite Functions 3.6 One-to-One Functions; Inverse Functions 4. Polynomial and Rational Functions 4.1 Quadratic Functions 4.2 Applications and Modeling of Quadratic Functions 4.3 The Graphs of Polynomial Functions 4.4 Synthetic Division; The Remainder and Factor Theorems 4.5 The Zeros of Polynomial Functions; The Fundamental Theorem of Algebra 4.6 Rational Functions and Their Graphs 4.7 Variation 5. Exponential and Logarithmic Functions and Equations 5.1 Exponential Functions 5.2 Logarithmic Functions 5.3 Properties of Logarithms 5.4Exponential and Logarithmic Equations 5.5 Applications of Exponential and Logarithmic Functions 6. Conic Sections 6.1 The Parabola 6.2 The Ellipse 6.3 The Hyperbola 7. Systems of Equations and Inequalities 7.1 Systems of Linear Equations in Two Variables 7.2 Systems of Linear Equations in Three Variables 7.3 Inconsistent and Dependent Linear Systems in Three Variables 7.4 Partial Fraction Decomposition 7.5 Systems of Nonlinear Equations 7.6 Systems of Inequalities 8. Matrices 8.1 Matrix Operations 8.2 Inverses of Matrices and Matrix Equations 8.3 Determinants and Cramer's Rule 9. Sequences and Series; Counting and Probability 9.1 Introduction to Sequences and Series 9.2 Arithmetic Sequences and Series 9.3 Geometric Sequences and Series 9.4 The Binomial Theorem 9.5 Mathematical Induction 9.6 The Theory of Counting 9.7 An Introduction to Probability Appendix A. Conic Section Proofs

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Book SynopsisMark Dugopolski was born in Menominee, Michigan. After receiving a BS from Michigan State University, he taught high school in Illinois for four years. He received an MS in mathematics from Northern Illinois University at DeKalb. He then received a PhD in the area of topology and an MS in statistics from the University of Illinois at ChampaignUrbana. Mark taught mathematics at Southeastern Louisiana University in Hammond for twenty-five years and now holds the rank of Professor Emeritus of Mathematics. He has been writing textbooks since 1988. He is married and has two daughters. In his spare time he enjoys tennis, jogging, bicycling, fishing, kayaking, gardening, bridge, and motorcycling.Table of ContentsP. Prerequisites P.1 Real Numbers and Their Properties P.2 Integral Exponents and Scientific Notation P.3 Rational Exponents and Radicals P.4 Polynomials P.5 Factoring Polynomials P.6 Rational Expressions P.7 Complex Numbers 1. Equations, Inequalities, and Modeling 1.1 Linear, Rational, and Absolute Value Equations 1.2 Constructing Models to Solve Problems 1.3 Equations and Graphs in Two Variables 1.4 Linear Equations in Two Variables 1.5 Quadratic Equations 1.6 Miscellaneous Equations 1.7 Linear and Absolute Value Inequalities 2. Functions and Graphs 2.1 Functions 2.2 Graphs of Relations and Functions 2.3 Families of Functions, Transformations, and Symmetry 2.4 Operations with Functions 2.5 Inverse Functions 2.6 Constructing Functions with Variation 3. Polynomial and Rational Functions 3.1 Quadratic Functions and Inequalities 3.2 Zeros of Polynomial Functions 3.3 The Theory of Equations 3.4 Graphs of Polynomial Functions 3.5 Rational Functions and Inequalities 4. Exponential and Logarithmic Functions 4.1 Exponential Functions and Their Applications 4.2 Logarithmic Functions and Their Applications 4.3 Rules of Logarithms 4.4 More Equations and Applications 5. The Trigonometric Functions 5.1 Angles and Their Measurements 5.2 The Sine and Cosine Functions 5.3 The Graphs of the Sine and Cosine Functions 5.4 The Other Trigonometric Functions and Their Graphs 5.5 The Inverse Trigonometric Functions 5.6 Right Triangle Trigonometry 6. Trigonometric Identities and Conditional Equations 6.1 Basic Identities 6.2 Verifying Identities 6.3 Sum and Difference Identities 6.4 Double-Angle and Half-Angle Identities 6.5 Product and Sum Identities 6.6 Conditional Trigonometric Equations 7. Applications of Trigonometry 7.1 The Law of Sines 7.2 The Law of Cosines 7.3 Vectors 7.4 Trigonometric Form of Complex Numbers 7.5 Powers and Roots of Complex Numbers 7.6 Polar Equations 7.7 Parametric Equations 8. Systems of Equations and Inequalities 8.1 Systems of Linear Equations in Two Variables 8.2 Systems of Linear Equations in Three Variables 8.3 Nonlinear Systems of Equations 8.4 Partial Fractions 8.5 Inequalities and Systems of Inequalities in Two Variables 8.6 The Linear Programming Model 9. Matrices and Determinants 9.1 Solving Linear Systems Using Matrices 9.2 Operations with Matrices 9.3 Multiplication of Matrices 9.4 Inverses of Matrices 9.5 Solution of Linear Systems in Two Variables Using Determinants 9.6 Solution of Linear Systems in Three Variables Using Determinants 10. The Conic Sections 10.1 The Parabola 10.2 The Ellipse and the Circle 10.3 The Hyperbola 11. Sequences, Series, and Probability 11.1 Sequences and Arithmetic Sequences 11.2 Series and Arithmetic Series 11.3 Geometric Sequences and Series 11.4 Counting and Permutations 11.5 Combinations, Labeling, and the Binomial Theorem 11.6 Probability 11.7 Mathematical Induction

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Book SynopsisThis manual provides detailed solutions to odd-numbered exercises in the text.

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Book SynopsisThe Bittinger Worktext Series recognizes that math hasn’t changed, but students-and the way they learn math-have. This latest edition continues the Bittinger tradition of objective-based, guided learning, while also integrating timely updates to the proven pedagogy. This edition has a greater emphasis on guided learning and helping students get the most out of all of the resources available, including new mobile learning resources, whether in a traditional lecture, hybrid, lab-based, or online course. Note: You are purchasing a standalone product; MyMathLab does not come packaged with this content. MyMathLab is not a self-paced technology and should only be purchased when required by an instructor. If you would like to purchase both the physical text and MyMathLab, search for: 0321951751 / 9780321951755 Intermediate Algebra Plus NEW MyMathLab with Pearson eText -- Access Card Package Package consTable of ContentsIndex of Applications Preface R. Review of Basic Algebra: Part 1: Operations R.1 The Set of Real Numbers R.2 Operations with Real Numbers R.3 Exponential Notation and Order of Operations Part 2: Manipulations R.4 Introduction to Algebraic Expressions R.5 Equivalent Algebraic Expressions R.6 Simplifying Algebraic Expressions R.7 Properties of Exponents and Scientific Notation Summary and Review Test 1. Solving Linear Equations and Inequalities 1.1 Solving Equations 1.2 Formulas and Applications 1.3 Applications and Problem Solving Mid-Chapter Review 1.4 Sets, Inequalities, and Interval Notation Translating for Success 1.5 Intersections, Unions, and Compound Inequalities 1.6 Absolute-Value Equations and Inequalities Summary and Review Test 2. Graphs, Functions, and Applications 2.1 Graphs of Equations 2.2 Functions and Graphs 2.3 Finding Domain and Range Mid-Chapter Review 2.4 Linear Functions: Graphs and Slope 2.5 More on Graphing Linear Equations Visualizing for Success 2.6 Finding Equations of Lines; Applications Summary and Review Test Cumulative Review 3. Systems of Equations 3.1 Systems of Equations in Two Variables 3.2 Solving by Substitution 3.3 Solving by Elimination 3.4 Solving Applied Problems: Two Equations Translating for Success Mid-Chapter Review 3.5 Systems of Equations in Three Variables 3.6 Solving Applied Problems: Three Equations 3.7 Systems of Inequalities in Two Variables Visualizing for Success Summary and Review Test Cumulative Review 4. Polynomials and Polynomial Functions 4.1 Introduction to Polynomials and Polynomial Functions 4.2 Multiplication of Polynomials 4.3 Introduction to Factoring 4.4 Factoring Trinomials: x2 + bx + c Mid-Chapter Review 4.5 Factoring Trinomials: ax2 + bx + c, a ≠ 1 4.6 Special Factoring Visualizing for Success 4.7 Factoring: A General Strategy 4.8 Applications of Polynomial Equations and Functions Translating for Success Summary and Review Test Cumulative Review 5. Rational Expressions, Equations, and Functions 5.1 Rational Expressions and Functions: Multiplying, Dividing, and Simplifying 5.2 LCMs, LCDs, Addition, and Subtraction 5.3 Division of Polynomials 5.4 Complex Rational Expressions Mid-Chapter Review 5.5 Solving Rational Equations 5.6 Applications and Proportions Translating for Success 5.7 Formulas and Applications 5.8 Variation and Applications Summary and Review Test Cumulative Review 6. Radical Expressions, Equations, and Functions 6.1 Radical Expressions and Functions 6.2 Rational Numbers as Exponents 6.3 Simplifying Radical Expressions 6.4 Addition, Subtraction, and More Multiplication Mid-Chapter Review 6.5 More on Division of Radical Expressions 6.6 Solving Radical Equations 6.7 Applications Involving Powers and Roots Translating for Success 6.8 The Complex Numbers Summary and Review Test Cumulative Review 7. Quadratic Equations and Functions 7.1 The Basics of Solving Quadratic Equations 7.2 The Quadratic Formula 7.3 Applications Involving Quadratic Equations Translating for Success 7.4 More on Quadratic Equations Mid-Chapter Review 7.5 Graphing f(x) = a(x - h)2 + k 7.6 Graphing f(x) = ax2 + bx + c Visualizing for Success 7.7 Mathematical Modeling with Quadratic Functions 7.8 Polynomial Inequalities and Rational Inequalities Summary and Review Test Cumulative Review 8. Exponential Functions and Logarithmic Functions 8.1 Exponential Functions 8.2 Composite Functions and Inverse Functions 8.3 Logarithmic Functions 8.4 Properties of Logarithmic Functions Mid-Chapter Review 8.5 Natural Logarithmic Functions Visualizing for Success 8.6 Solving Exponential Equations and Logarithmic Equations 8.7 Mathematical Modeling with Exponential Functions and Logarithmic Functions Translating for Success Summary and Review Test Cumulative Review 9. Conic Sections 9.1 Parabolas and Circles 9.2 Ellipses Mid-Chapter Review 9.3 Hyperbolas Visualizing for Success 9.4 Nonlinear Systems of Equations Summary and Review Test Cumulative Review Appendices A. Fraction Notation B. Determinants and Cramer’s Rule C. Elimination Using Matrices D. The Algebra of Functions Answers Guided Solutions Glossary Index Additional Instructor’s Answers

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Book SynopsisTable of ContentsIndex of Applications Preface 1. Whole Numbers 1.1 Standard Notation 1.2 Addition 1.3 Subtraction 1.4 Multiplication 1.5 Division Mid-Chapter Review 1.6 Rounding and Estimating; Order 1.7 Solving Equations 1.8 Applications and Problem Solving Translating for Success 1.9 Exponential Notation and Order of Operations Summary and Review Test 2. Fraction Notation: Multiplication and Division 2.1 Factorizations 2.2 Divisibility 2.3 Fractions and Fraction Notation 2.4 Multiplication and Applications 2.5 Simplifying Mid-Chapter Review 2.6 Multiplying, Simplifying, and Applications 2.7 Division and Applications Translating for Success Summary and Review Test 3. Fraction Notation and Mixed Numerals 3.1 Least Common Multiples 3.2 Addition and Applications 3.3 Subtraction, Order, and Applications Translating for Success 3.4 Mixed Numerals Mid-Chapter Review 3.5 Addition and Subtraction Using Mixed Numerals; Applications 3.6 Multiplication and Division Using Mixed Numerals; Applications Translating for Success 3.7 Order of Operations, Complex Fractions, and Estimation Summary and Review Test Cumulative Review 4. Decimal Notation 4.1 Decimal Notation, Order, and Rounding 4.2 Addition and Subtraction 4.3 Multiplication 4.4 Division Mid-Chapter Review 4.5 Converting from Fraction Notation to Decimal Notation 4.6 Estimating 4.7 Applications and Problem Solving Translating for Success Summary and Review Test Cumulative Review 5. Ratio and Proportion 5.1 Introduction to Ratios 5.2 Rates and Unit Prices 5.3 Proportions Mid-Chapter Review 5.4 Applications of Proportions Translating for Success 5.5 Geometric Applications Summary and Review Test Cumulative Review 6. Percent Notation 6.1 Percent Notation 6.2 Percent Notation and Fraction Notation 6.3 Solving Percent Problems Using Percent Equations 6.4 Solving Percent Problems Using Proportions Mid-Chapter Review 6.5 Applications of Percent Translating for Success 6.6 Sales Tax, Commission, and Discount 6.7 Simple Interest and Compound Interest; Credit Cards Summary and Review Test Cumulative Review 7. Data, Graphs, and Statistics 7.1 Averages, Medians, and Modes 7.2 Interpreting Data from Tables and Graphs Mid-Chapter Review 7.3 Interpreting and Drawing Bar Graphs and Line Graphs 7.4 Interpreting and Drawing Circle Graphs Translating for Success Summary and Review Test Cumulative Review 8. Measurement 8.1 Linear Measures: American Units 8.2 Linear Measures: The Metric System 8.3 Converting Between American Units and Metric Units Mid-Chapter Review 8.4 Weight and Mass; Medical Applications 8.5 Capacity; Medical Applications 8.6 Time and Temperature 8.7 Converting Units of Area Translating for Success Summary and Review Test Cumulative Review 9. Geometry 9.1 Perimeter 9.2 Area 9.3 Circles Mid-Chapter Review 9.4 Volume 9.5 Angles and Triangles 9.6 Square Roots and the Pythagorean Theorem Translating for Success Summary and Review Test Cumulative Review 10. Real Numbers 10.1 The Real Numbers 10.2 Addition of Real Numbers 10.3 Subtraction of Real Numbers Mid-Chapter Review 10.4 Multiplication of Real Numbers 10.5 Division of Real Numbers and Order of Operations Translating for Success Summary and Review Test Cumulative Review 11. Algebra: Solving Equations and Problems 11.1 Introduction to Algebra 11.2 Solving Equations: The Addition Principle 11.3 Solving Equations: The Multiplication Principle Mid-Chapter Review 11.4 Using the Principles Together 11.5 Applications and Problem Solving Translating for Success Summary and Review Test Cumulative Review Answers Guided Solutions Glossary Index

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Book SynopsisTable of Contents1. Graphs, Functions, and Models1.1 Introduction to Graphing1.2 Functions and Graphs1.3 Linear Functions, Slope, and Applications1.4 Equations of Lines and Modeling1.5 Linear Equations, Functions, Zeros, and Applications1.6 Solving Linear Inequalities2. More on Functions2.1 Increasing, Decreasing, and Piecewise Functions; Applications2.2 The Algebra of Functions2.3 The Composition of Functions2.4 Symmetry2.5 Transformations2.6 Variation and Applications3. Quadratic Functions and Equations; Inequalities3.1 The Complex Numbers3.2 Quadratic Equations, Functions, Zeros, and Models3.3 Analyzing Graphs of Quadratic Functions3.4 Solving Rational Equations and Radical Equations3.5 Solving Equations and Inequalities with Absolute Value4. Polynomial Functions and Rational Functions4.1 Polynomial Functions and Models4.2 Graphing Polynomial Functions4.3 Polynomial Division; The Remainder Theorem and the Factor Theorem4.4 Theorems about Zeros of Polynomial Functions4.5 Rational Functions4.6 Polynomial Inequalities and Rational Inequalities5. Exponential Functions and Logarithmic Functions5.1 Inverse Functions5.2 Exponential Functions and Graphs5.3 Logarithmic Functions and Graphs5.4 Properties of Logarithmic Functions5.5 Solving Exponential Equations and Logarithmic Equations5.6 Applications and Models: Growth and Decay; Compound Interest6. The Trigonometric Functions6.1 Trigonometric Functions of Acute Angles6.2 Applications of Right Triangles6.3 Trigonometric Functions of Any Angle6.4 Radians, Arc Length, and Angular Speed6.5 Circular Functions: Graphs and Properties6.6 Graphs of Transformed Sine and Cosine Functions7. Trigonometric Identities, Inverse Functions, and Equations7.1 Identities: Pythagorean and Sum and Difference7.2 Identities: Cofunction, Double-Angle, and Half-Angle7.3 Proving Trigonometric Identities7.4 Inverses of the Trigonometric Functions7.5 Solving Trigonometric Equations8. Applications of Trigonometry8.1 The Law of Sines8.2 The Law of Cosines8.3 Complex Numbers: Trigonometric Notation8.4 Polar Coordinates and Graphs8.5 Vectors and Applications8.6 Vector Operations9. Systems of Equations and Matrices9.1 Systems of Equations in Two Variables9.2 Systems of Equations in Three Variables9.3 Matrices and Systems of Equations9.4 Matrix Operations9.5 Inverses of Matrices9.6 Determinants and Cramer’s Rule9.7 Systems of Inequalities and Linear Programming9.8 Partial Fractions10. Conic Sections10.1 The Parabola10.2 The Circle and the Ellipse10.3 The Hyperbola10.4 Nonlinear Systems of Equations and Inequalities10.5 Rotation of Axes10.6 Polar Equations of Conics10.7 Parametric Equations11. Sequences, Series, and Combinatorics11.1 Sequences and Series11.2 Arithmetic Sequences and Series11.3 Geometric Sequences and Series11.4 Mathematical Induction11.5 Combinatorics: Permutations11.6 Combinatorics: Combinations11.7 The Binomial Theorem11.8 Probability

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Book SynopsisTable of ContentsPreface to the Instructor Preface to the Student 1. Syllabus Search 2. Notebook Preparation 3. Reading the Textbook Part l-Forming Good Habits 4. Reading the Textbook Part ll--Reading your Math Book Effectively 5. Taking Notes Part l-Notes from Reading the Text 6. Math Autobiography 7. On Time and Ready To Go! 8. Test Preparation Skills 9. Test Stress Reduction 10. Test Taking Skills 11. Post Test Check up 12. Test Analysis 13. Know Where You Stand 14. Successful Student Behavior 15. Email Etiquette 16. Textbook Tour 17. Time Management Part l-Managing Your Weekly Schedule 18. Time Management Part ll-Managing Your Schedule for the Term 19. Homework Skills 20. Taking Notes Part ll-Doing Online Homework 21. Mid-term Check up Part l-Making the Grade 22. Mid-term Check up-Part ll-Evaluating Your Study Habits 23. Attendance 24. Study Group 25. Help! 26. Preparing to Get Help 27. Goals 28. Thoughts in Charge! 29. Neutralize Negative Thoughts 30. Intervention Strategies for Negative Thoughts 31. Can You Hear Me Now??? 32. A Gift to Yourself 33. Math Plan 34. The End is in Sight! 35. Excuses! Excuses! 36. Excuses! Excuses!-Online Homework Version 37. Support from Family and Friends 38. Stay on Campus - Stay on Task! 39. Final Exam Prep Part l-Get the Facts and Get Organized 40. Final Exam Prep Part ll-Make a Study Plan 41. Final Exam Prep Part lll-Make a Time Management Plan 42. Grade Check Up 43. Look Back, Look Forward 44. Reward Yourself!

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Book SynopsisThis manual provides solutions to odd-numbered exercises in the exercise sets, the Mid-Chapter Mixed Review Exercises, Chapter Review Exercises, as well as solutions for all the Chapter Test exercises.

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Book SynopsisThe eText Reference is a spiral-bound, printed version of the eText that provides a place for you to do practice work and summarize key concepts from the online videos and animations. In addition to the benefits it provides you, the eText Reference is also a nice resource for those instructors that prefer a printed text for class preparation.

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Book SynopsisThis text offers a crucial primer on proofs and the language of mathematics. Brief and to the point, it lays out the fundamental ideas of abstract mathematics and proof techniques that students will need to master for other math courses. Campbell presents these concepts in plain English, with a focus on basic terminology and a conversational tone that draws natural parallels between the language of mathematics and the language students communicate in every day. The discussion highlights how symbols and expressions are the building blocks of statements and arguments, the meanings they convey, and why they are meaningful to mathematicians. In-class activities provide opportunities to practice mathematical reasoning in a live setting, and an ample number of homework exercises are included for self-study. This text is appropriate for a course in Foundations of Advanced Mathematics taken by students who've had a semester of calculus, and is designed to be accessible to students with a wide

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Book Synopsis

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Book Synopsis

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