About 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 Thinking Mathematically, Bob has written textbooks covering introductory algebra, intermediate algebra, college algebra, algebra and trigonometry, precalculus, and trigonometry. 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.

• P. Fundamental Concepts of Algebra P.1 Algebraic Expressions, Mathematical Models, and Real NumbersP.2 Exponents and Scientific NotationP.3 Radicals and Rational ExponentsP.4 PolynomialsMid-Chapter Check PointP.5 Factoring PolynomialsP.6 Rational ExpressionsSummary, Review, and TestReview ExercisesChapter P Test1. Equations and Inequalities 1.1 Graphs and Graphing Utilities1.2 Linear Equations and Rational Equations1.3 Models and Applications1.4 Complex Numbers1.5 Quadratic EquationsMid-Chapter Check Point1.6 Other Types of Equations1.7 Linear Inequalities and Absolute Value InequalitiesSummary, Review, and TestReview ExercisesChapter 1 Test2. Functions and Graphs 2.1 Basics of Functions and Their Graphs2.2 More on Functions and Their Graphs2.3 Linear Functions and Slope2.4 More on SlopeMid-Chapter Check Point2.5 Transformations of Functions2.6 Combinations of Functions; Composite Functions2.7 Inverse Functions2.8 Distance and Midpoint Formulas; CirclesSummary, Review, and TestReview ExercisesChapter 2 TestCumulative Review Exercises Chapters 1 - 23. Polynomial and Rational Functions 3.1 Quadratic Functions3.2 Polynomial Functions and Their Graphs3.3 Dividing Polynomials; Remainder and Factor Theorems3.4 Zeros of Polynomial FunctionsMid-Chapter Check Point3.5 Rational Functions and Their Graphs3.6 Polynomial and Rational Inequalities3.7 Modeling Using VariationSummary, Review, and TestReview ExercisesChapter 3 TestCumulative Review Exercises Chapters 1 - 34. Exponential and Logarithmic Functions 4.1 Exponential Functions4.2 Logarithmic Functions4.3 Properties of LogarithmsMid-Chapter Check Point4.4 Exponential and Logarithmic Equations4.5 Exponential Growth and Decay; Modeling DataSummary, Review, and TestReview ExercisesChapter 4 TestCumulative Review Exercises Chapters 1 - 45. Systems of Equations and Inequalities 5.1 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 VariablesMid-Chapter Check Point5.5 Systems of Inequalities5.6 Linear ProgrammingSummary, Review, and TestReview ExercisesChapter 5 TestCumulative Review Chapters 1 - 56. Matrices and Determinants 6.1 Matrix Solutions to Linear Systems6.2 Inconsistent and Dependent Systems and Their Applications6.3 Matrix Operations and Their ApplicationsMid-Chapter Check Point6.4 Multiplicative Inverses of Matrices and Matrix Equations6.5 Determinants and Cramer's RuleSummary, Review, and TestReview ExercisesChapter 6 TestCumulative Review Chapters 1 - 67. Conic Sections 7.1 The Ellipse7.2 The HyperbolaMid-Chapter Check Point7.3 The ParabolaSummary, Review, and TestReview ExercisesChapter 7 TestCumulative Review Chapters 1 - 78. Sequences, Induction, and Probability 8.1 Sequences and Summation Notation8.2 Arithmetic Sequences8.3 Geometric Sequences and SeriesMid-Chapter Check Point8.4 Mathematical Induction8.5 The Binomial Theorem8.6 Counting Principles, Permutations, and Combinations8.7 ProbabilitySummary, Review, and TestReview ExercisesChapter 8 TestCumulative Review Chapters 1-8Appendix Where Did That Come From? Selected ProofsAnswers to Selected Exercises (Selected answers in Student Edition. In Annotated Instructor's Edition, the longer answers that don't fit next to exercises appear here.) Subject Index Credits

About 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 Thinking Mathematically, Bob has written textbooks covering introductory algebra, intermediate algebra, college algebra, algebra and trigonometry, precalculus, and trigonometry. 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.

• P. Fundamental Concepts of Algebra P.1 Algebraic Expressions, Mathematical Models, and Real NumbersP.2 Exponents and Scientific NotationP.3 Radicals and Rational ExponentsP.4 PolynomialsMid-Chapter Check PointP.5 Factoring PolynomialsP.6 Rational ExpressionsSummary, Review, and TestReview ExercisesChapter P Test1. Equations and Inequalities 1.1 Graphs and Graphing Utilities1.2 Linear Equations and Rational Equations1.3 Models and Applications1.4 Complex Numbers1.5 Quadratic EquationsMid-Chapter Check Point1.6 Other Types of Equations1.7 Linear Inequalities and Absolute Value InequalitiesSummary, Review, and TestReview ExercisesChapter 1 Test2. Functions and Graphs 2.1 Basics of Functions and Their Graphs2.2 More on Functions and Their Graphs2.3 Linear Functions and Slope2.4 More on SlopeMid-Chapter Check Point2.5 Transformations of Functions2.6 Combinations of Functions; Composite Functions2.7 Inverse Functions2.8 Distance and Midpoint Formulas; CirclesSummary, Review, and TestReview ExercisesChapter 2 TestCumulative Review Exercises Chapters 1 - 23. Polynomial and Rational Functions 3.1 Quadratic Functions3.2 Polynomial Functions and Their Graphs3.3 Dividing Polynomials; Remainder and Factor Theorems3.4 Zeros of Polynomial FunctionsMid-Chapter Check Point3.5 Rational Functions and Their Graphs3.6 Polynomial and Rational Inequalities3.7 Modeling Using VariationSummary, Review, and TestReview ExercisesChapter 3 TestCumulative Review Exercises Chapters 1 - 34. Exponential and Logarithmic Functions 4.1 Exponential Functions4.2 Logarithmic Functions4.3 Properties of LogarithmsMid-Chapter Check Point4.4 Exponential and Logarithmic Equations4.5 Exponential Growth and Decay; Modeling DataSummary, Review, and TestReview ExercisesChapter 4 TestCumulative Review Exercises Chapters 1 - 45. Systems of Equations and Inequalities 5.1 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 VariablesMid-Chapter Check Point5.5 Systems of Inequalities5.6 Linear ProgrammingSummary, Review, and TestReview ExercisesChapter 5 TestCumulative Review Chapters 1 - 56. Matrices and Determinants 6.1 Matrix Solutions to Linear Systems6.2 Inconsistent and Dependent Systems and Their Applications6.3 Matrix Operations and Their ApplicationsMid-Chapter Check Point6.4 Multiplicative Inverses of Matrices and Matrix Equations6.5 Determinants and Cramer's RuleSummary, Review, and TestReview ExercisesChapter 6 TestCumulative Review Chapters 1 - 67. Conic Sections 7.1 The Ellipse7.2 The HyperbolaMid-Chapter Check Point7.3 The ParabolaSummary, Review, and TestReview ExercisesChapter 7 TestCumulative Review Chapters 1 - 78. Sequences, Induction, and Probability 8.1 Sequences and Summation Notation8.2 Arithmetic Sequences8.3 Geometric Sequences and SeriesMid-Chapter Check Point8.4 Mathematical Induction8.5 The Binomial Theorem8.6 Counting Principles, Permutations, and Combinations8.7 ProbabilitySummary, Review, and TestReview ExercisesChapter 8 TestCumulative Review Chapters 1-8Appendix Where Did That Come From? Selected ProofsAnswers to Selected Exercises (Selected answers in Student Edition. In Annotated Instructor's Edition, the longer answers that don't fit next to exercises appear here.) Subject Index Credits

About 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 Thinking Mathematically, Bob has written textbooks covering introductory algebra, intermediate algebra, college algebra, algebra and trigonometry, precalculus, and trigonometry. 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.

• P. Fundamental Concepts of Algebra P.1 Algebraic Expressions, Mathematical Models, and Real NumbersP.2 Exponents and Scientific NotationP.3 Radicals and Rational ExponentsP.4 PolynomialsMid-Chapter Check PointP.5 Factoring PolynomialsP.6 Rational ExpressionsSummary, Review, and TestReview ExercisesChapter P Test1. Equations and Inequalities 1.1 Graphs and Graphing Utilities1.2 Linear Equations and Rational Equations1.3 Models and Applications1.4 Complex Numbers1.5 Quadratic EquationsMid-Chapter Check Point1.6 Other Types of Equations1.7 Linear Inequalities and Absolute Value InequalitiesSummary, Review, and TestReview ExercisesChapter 1 Test2. Functions and Graphs 2.1 Basics of Functions and Their Graphs2.2 More on Functions and Their Graphs2.3 Linear Functions and Slope2.4 More on SlopeMid-Chapter Check Point2.5 Transformations of Functions2.6 Combinations of Functions; Composite Functions2.7 Inverse Functions2.8 Distance and Midpoint Formulas; CirclesSummary, Review, and TestReview ExercisesChapter 2 TestCumulative Review Exercises Chapters 1 - 23. Polynomial and Rational Functions 3.1 Quadratic Functions3.2 Polynomial Functions and Their Graphs3.3 Dividing Polynomials; Remainder and Factor Theorems3.4 Zeros of Polynomial FunctionsMid-Chapter Check Point3.5 Rational Functions and Their Graphs3.6 Polynomial and Rational Inequalities3.7 Modeling Using VariationSummary, Review, and TestReview ExercisesChapter 3 TestCumulative Review Exercises Chapters 1 - 34. Exponential and Logarithmic Functions 4.1 Exponential Functions4.2 Logarithmic Functions4.3 Properties of LogarithmsMid-Chapter Check Point4.4 Exponential and Logarithmic Equations4.5 Exponential Growth and Decay; Modeling DataSummary, Review, and TestReview ExercisesChapter 4 TestCumulative Review Exercises Chapters 1 - 45. Systems of Equations and Inequalities 5.1 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 VariablesMid-Chapter Check Point5.5 Systems of Inequalities5.6 Linear ProgrammingSummary, Review, and TestReview ExercisesChapter 5 TestCumulative Review Chapters 1 - 56. Matrices and Determinants 6.1 Matrix Solutions to Linear Systems6.2 Inconsistent and Dependent Systems and Their Applications6.3 Matrix Operations and Their ApplicationsMid-Chapter Check Point6.4 Multiplicative Inverses of Matrices and Matrix Equations6.5 Determinants and Cramer's RuleSummary, Review, and TestReview ExercisesChapter 6 TestCumulative Review Chapters 1 - 67. Conic Sections 7.1 The Ellipse7.2 The HyperbolaMid-Chapter Check Point7.3 The ParabolaSummary, Review, and TestReview ExercisesChapter 7 TestCumulative Review Chapters 1 - 78. Sequences, Induction, and Probability 8.1 Sequences and Summation Notation8.2 Arithmetic Sequences8.3 Geometric Sequences and SeriesMid-Chapter Check Point8.4 Mathematical Induction8.5 The Binomial Theorem8.6 Counting Principles, Permutations, and Combinations8.7 ProbabilitySummary, Review, and TestReview ExercisesChapter 8 TestCumulative Review Chapters 1-8Appendix Where Did That Come From? Selected ProofsAnswers to Selected Exercises (Selected answers in Student Edition. In Annotated Instructor's Edition, the longer answers that don't fit next to exercises appear here.) Subject Index Credits