Introductory & Intermediate Algebra for College Students

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 his Developmental Algebra Series, Bob has written textbooks covering college algebra, algebra and trigonometry, precalculus, and liberal arts mathematics, all published by Pearson Education. 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.

• 1. Variables, Real Numbers, and Mathematical Models1.1 Introduction to Algebra: Variables and Mathematical Models1.2 Fractions in Algebra1.3 The Real Numbers 1.4 Basic Rules of AlgebraMid-Chapter Check Point Section 1.1–Section 1.41.5 Addition of Real Numbers 1.6 Subtraction of Real Numbers1.7 Multiplication and Division of Real Numbers1.8 Exponents and Order of OperationsChapter 1 Group ProjectChapter 1 SummaryChapter 1 Review ExercisesChapter 1 Test 2. Linear Equations and Inequalities in One Variable 2.1 The Addition Property of Equality2.2 The Multiplication Property of Equality2.3 Solving Linear Equations 2.4 Formulas and PercentsMid-Chapter Check Point Section 2.1–Section 2.42.5 An Introduction to Problem Solving2.6 Problem Solving in Geometry2.7 Solving Linear InequalitiesChapter 2 Group ProjectChapter 2 SummaryChapter 2 Review ExercisesChapter 2 TestCumulative Review Exercises (Chapters 1–2) 3. Linear Equations in Two Variables3.1 Graphing Linear Equations in Two Variables3.2 Graphing Linear Equations Using Intercepts3.3 Slope3.4 The Slope-Intercept Form of the Equation of a LineMid-Chapter Check Point Section 3.1–Section 3.43.5 The Point-Slope Form of the Equation of a LineChapter 3 Group ProjectChapter 3 SummaryChapter 3 Review ExercisesChapter 3 TestCumulative Review Exercises (Chapters 1–3) 4. Systems of Linear Equations 4.1 Solving Systems of Linear Equations by Graphing4.2 Solving Systems of Linear Equations by the Substitution Method4.3 Solving Systems of Linear Equations by the Addition MethodMid-Chapter Check Point Section 4.1–Section 4.34.4 Problem Solving Using Systems of Equations4.5 Systems of Linear Equations in Three VariablesChapter 4 Group ProjectChapter 4 SummaryChapter 4 Review ExercisesChapter 4 TestCumulative Review Exercises (Chapters 1–4) 5. Exponents and Polynomials5.1 Adding and Subtracting Polynomials5.2 Multiplying Polynomials5.3 Special Products5.4 Polynomials in Several VariablesMid-Chapter Check Point Section 5.1–Section 5.45.5 Dividing Polynomials5.6 Long Division of Polynomials; Synthetic Division5.7 Negative Exponents and Scientific NotationChapter 5 Group ProjectChapter 5 SummaryChapter 5 Review ExercisesChapter 5 TestCumulative Review Exercises (Chapters 1–5) 6. Factoring Polynomials6.1 The Greatest Common Factor and Factoring By Grouping 6.2 Factoring Trinomials Whose Leading Coefficient Is 1 6.3 Factoring Trinomials Whose Leading Coefficient Is Not 1Mid-Chapter Check Point Section 6.1–Section 6.36.4 Factoring Special Forms6.5 A General Factoring Strategy6.6 Solving Quadratic Equations By Factoring      Chapter 6 Group ProjectChapter 6 SummaryChapter 6 Review ExercisesChapter 6 TestCumulative Review Exercises (Chapters 1–6)  7. Rational Expressions7.1 Rational Expressions and Their Simplification7.2 Multiplying and Dividing Rational Expressions7.3 Adding and Subtracting Rational Expressions with the Same Denominator7.4 Adding and Subtracting Rational Expressions with Different DenominatorsMid-Chapter Check Point Section 7.1–Section 7.47.5 Complex Rational Expressions7.6 Solving Rational Equations7.7 Applications Using Rational Equations and Proportions7.8 Modeling Using VariationChapter 7 Group ProjectChapter 7 SummaryChapter 7 Review ExercisesChapter 7 TestCumulative Review Exercises (Chapters 1–7) 8. Basics of Functions 8.1 Introduction to Functions8.2 Graphs of Functions8.3 The Algebra of FunctionsMid-Chapter Check Point Section 8.1–Section 8.38.4 Composite and Inverse Functions Chapter 8 Group ProjectChapter 8 SummaryChapter 8 Review ExercisesChapter 8 TestCumulative Review Exercises (Chapters 1–8)  9. Inequalities and Problem Solving9.1 Reviewing Linear Inequalities and Using Inequalities in Business Applications9.2 Compound Inequalities9.3 Equations and Inequalities Involving Absolute ValueMid-Chapter Check Point Section 9.1–Section 9.39.4 Linear Inequalities in Two VariablesChapter 9 Group ProjectChapter 9 SummaryChapter 9 Review Exercises Chapter 9 TestCumulative Review Exercises (Chapters 1–9)  10. Radicals, Radical Functions, and Rational Exponents 10.1 Radical Expressions and Functions 10.2 Rational Exponents 10.3 Multiplying and Simplifying Radical Expressions 10.4 Adding, Subtracting, and Dividing Radical ExpressionsMid-Chapter Check Point Section 10.1–Section 10.410.5 Multiplying with More Than One Term and Rationalizing Denominators10.6 Radical Equations 10.7 Complex Numbers Chapter 10 Group ProjectChapter 10 SummaryChapter 10 Review ExercisesChapter 10 TestCumulative Review Exercises (Chapters 1–10) 11. Quadratic Equations and Functions 11.1 The Square Root Property and Completing the Square; Distance and Midpoint Formulas11.2 The Quadratic Formula11.3 Quadratic Functions and Their GraphsMid-Chapter Check Point Section 11.1–Section 11.311.4 Equations Quadratic in Form11.5 Polynomial and Rational InequalitiesChapter 11 Group ProjectChapter 11 SummaryChapter 11 Review Exercises Chapter 11 TestCumulative Review Exercises (Chapters 1–11)  12. Exponential and Logarithmic Functions 12.1 Exponential Functions12.2 Logarithmic Functions12.3 Properties of LogarithmsMid-Chapter Check Point Section 12.1–Section 12.312.4 Exponential and Logarithmic Equations12.5 Exponential Growth and Decay; Modeling DataChapter 12 Group ProjectChapter 12 SummaryChapter 12 Review Exercises Chapter 12 TestCumulative Review Exercises (Chapters 1–12) 13. Conic Sections and Systems of Nonlinear Equations13.1 The Circle13.2 The Ellipse13.3 The HyperbolaMid-Chapter Check Point Section 13.1–Section 13.313.4 The Parabola; Identifying Conic Sections13.5 Systems of Nonlinear Equations in Two Variables Chapter 13 Group ProjectChapter 13 SummaryChapter 13 Review Exercises Chapter 13 TestCumulative Review Exercises (Chapters 1–13)  14. Sequences, Series, and the Binomial Theorem14.1 Sequences and Summation Notation14.2 Arithmetic Sequences14.3 Geometric Sequences and SeriesMid-Chapter Check Point Section 14.1–Section 14.314.4 The Binomial TheoremChapter 14 Group ProjectChapter 14 SummaryChapter 14 Review Exercises Chapter 14 TestCumulative Review Exercises (Chapters 1–14)  AppendicesA. Mean, Median, and ModeB. Matrix Solutions to Linear SystemsC. Determinants and Cramer's RuleD. Where Did That Come From? Selected Proofs