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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 Intermediate Algebra for College Students, Bob has written textbooks covering introductory algebra, college algebra, algebra and trigonometry, precalculus, and liberal arts mathematics, all published by Prentice Hall. When not secluded in his Northern California writer’s cabin, Bob can be found hiking the beaches and trails of Point Reyes National Seashore, and tending to the chores required by his beloved entourage of horses, chickens, and irritable roosters.
A Brief Guide to Getting the Most from This Book | |
Preface | |
To The Student | |
About the Author | |
Variables, Real Numbers, and Mathematical Models | |
Introduction to Algebra: Variables and Mathematical Models | |
Fractions in Algebra | |
The Real Numbers | |
Basic Rules of Algebra | |
Mid-Chapter Check Point Section 1.1-Section 1.4 | |
Addition of Real Numbers | |
Subtraction of Real Numbers | |
Multiplication and Division of Real Numbers | |
Exponents and Order of Operations | |
Chapter 1 Group Project | |
Chapter 1 Summary | |
Chapter 1 Review Exercises | |
Chapter 1 Chapter Test | |
Linear Equations and Inequalities in One Variable | |
The Addition Property of Equality | |
The Multiplication Property of Equality | |
Solving Linear Equations | |
Formulas and Percents | |
Mid-Chapter Check Point Section 2.1-Section 2.4 | |
An Introduction to Problem Solving | |
Problem Solving in Geometry | |
Solving Linear Inequalities | |
Chapter 2 Group Project | |
Chapter 2 Summary | |
Chapter 2 Review Exercises | |
Chapter 2 Test | |
Cumulative Review Exercises (Chapters 1-2) | |
Linear Equations in Two Variables | |
Graphing Linear Equations in Two Variables | |
Graphing Linear Equations Using Intercepts | |
Slope | |
The Slope-Intercept Form of the Equation of a Line | |
Mid-Chapter Check Point Section 3.1-Section 3.4 | |
The Point-Slope Form of the Equation of a Line | |
Chapter 3 Group Project | |
Chapter 3 Summary | |
Chapter 3 Review Exercises | |
Chapter 3 Test | |
Cumulative Review Exercises (Chapters 1-3) | |
Systems of Linear Equations | |
Solving Systems of Linear Equations by Graphing | |
Solving Systems of Linear Equations by the Substitution Method | |
Solving Systems of Linear Equations by the Addition Method | |
Mid-Chapter Check Point Section 4.1-Section 4.3 | |
Problem Solving Using Systems of Equations | |
Systems of Linear Equations in Three Variables | |
Chapter 4 Group Project | |
Chapter 4 Summary | |
Chapter 4 Review Exercises | |
Chapter 4 Test | |
Cumulative Review Exercises (Chapters 1-4) | |
Exponents and Polynomials | |
Adding and Subtracting Polynomials | |
Multiplying Polynomials | |
Special Products | |
Polynomials in Several Variables | |
Mid-Chapter Check Point Section 5.1-Section 5.4 | |
Dividing Polynomials | |
Long Division of Polynomials | |
Synthetic Division | |
Negative Exponents and Scientific Notation | |
Chapter 5 Group Project | |
Chapter 5 Summary | |
Chapter 5 Review Exercises | |
Chapter 5 Test | |
Cumulative Review Exercises (Chapters 1-5) | |
Factoring Polynomials | |
The Greatest Common Factor and Factoring By Grouping | |
Factoring Trinomials Whose Leading Coefficient Is 1 | |
Factoring Trinomials Whose Leading Coefficient Is Not 1 | |
Mid-Chapter Check Point Section 6.1-Section 6.3 | |
Factoring Special Forms | |
A General Factoring Strategy | |
Solving Quadratic Equations By Factoring | |
Chapter 6 Group Project | |
Chapter 6 Summary | |
Chapter 6 Review Exercises | |
Chapter 6 Test | |
Cumulative Review Exercises (Chapters 1-6) | |
Rational Expressions | |
Rational Expressions and Their Simplification | |
Multiplying and Dividing Rational Expressions | |
Adding and Subtracting Rational Expressions with the Same Denominator | |
Adding and Subtracting Rational Expressions with Different Denominators | |
Mid-Chapter Check Point Section 7.1-Section 7.4 | |
Complex Rational Expressions | |
Solving Rational Equations | |
Applications Using Rational Equations and Proportions | |
Modeling Using Variation | |
Chapter 7 Group Project | |
Chapter 7 Summary | |
Chapter 7 Review Exercises | |
Chapter 7 Test | |
Cumulative Review Exercises (Chapters 1-7) | |
Mid-Textbook Check Point | |
Basics of Functions | |
Introduction to Functions | |
Graphs of Functions | |
The Algebra of Functions | |
Mid-Chapter Check Point Section 8.1-Section 8.3 | |
Composite and Inverse Functions | |
Chapter 8 Group Project | |
Chapter 8 Summary | |
Chapter 8 Review Exercises | |
Chapter 8 Test | |
Cumulative Review Exercises (Chapters 1-8) | |
Inequalities and Problem Solving | |
Business Applications Using Linear Inequalities | |
Compound Inequalities | |
Equations and Inequalities Involving Absolute Value | |
Mid-Chapter Check Point Section 9.1-Section 9.3 | |
Linear Inequalities in Two Variables | |
Chapter 9 Group Project | |
Chapter 9 Summary | |
Chapter 9 Review Exercises | |
Chapter 9 Test | |
Cumulative Review Exercises (Chapters 1-9) | |
Radicals, Radical Functions, and Rational Exponents | |
Radical Expressions and Functions | |
Rational Exponents | |
Multiplying and Simplifying Radical Expressions | |
Adding, Subtracting, and Dividing Radical Expressions | |
Mid-Chapter Check Point Section 10.1-Section 10.4 | |
Multiplying with More Than One Term and Rationalizing Denominators | |
Radical Equations | |
Complex Numbers | |
Chapter 10 Group Project | |
Chapter 10 Summary | |
Chapter 10 Review Exercises | |
Chapter 10 Test | |
Cumulative Review Exercises (Chapters 1-10) | |
Quadratic Equations and Functions | |
The Square Root Property and Completing the Square | |
Distance and Midpoint Formulas | |
The Quadratic Formula | |
Quadratic Functions and Their Graphs | |
Mid-Chapter Check Point Section 11.1-Section 11.3 | |
Equations Quadratic in Form | |
Polynomial and Rational Inequalities | |
Chapter 11 Group Project | |
Chapter 11 Summary | |
Chapter 11 Review Exercises | |
Chapter 11 Test | |
Cumulative Review Exercises (Chapters 1-11) | |
Exponential and Logarithmic Functions | |
Exponential Functions | |
Logarithmic Functions | |
Properties of Logarithms | |
Mid-Chapter Check Point Section 12.1-Section 12.3 | |
Exponential and Logarithmic Equations | |
Exponential Growth and Decay | |
Modeling Data | |
Chapter 12 Group Project | |
Chapter 12 Summary | |
Chapter 12 Review Exercises | |
Chapter 12 Test | |
Cumulative Review Exercises (Chapters 1-12) | |
Conic Sections and Systems of Nonlinear Equations | |
The Circle | |
The Ellipse | |
The Hyperbola | |
Mid-Chapter Check Point Section 13.1-Section 13.3 | |
The Parabola | |
Identifying Conic Sections | |
Systems of Nonlinear Equations in Two Variables | |
Chapter 13 Group Project | |
Chapter 13 Summary | |
Chapter 13 Review Exercises | |
Chapter 13 Test | |
Cumulative Review Exercises (Chapters 1-13) | |
Sequences, Series, and the Binomial Theorem | |
Sequences and Summation Notation | |
Arithmetic Sequences | |
Geometric Sequences and Series | |
Mid-Chapter Check Point Section 14.1-Section 14.3 | |
The Binomial Theorem | |
Chapter 14 Group Project | |
Chapter 14 Summary | |
Chapter 14 Review Exercises | |
Chapter 14 Test | |
Cumulative Review Exercises (Chapters 1-14) | |
Appendices | |
Mean, Median, and Mode | |
Matrix Solutions to Systems of Linear Equations | |
Determinants and Cramer's Rule | |
Where Did That Come From? Selected Proofs | |
Answers to Selected Exercises | |
Graphing Answer Section (AIE only) | |
Applications Index | |
Subject Index | |
Photo Credits | |
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