| |
| |
| Preface to the Instructor. | |
| |
| |
| Preface to the Student | |
| |
| |
| |
| The Basics | |
| |
| |
| Notation and Symbols | |
| |
| |
| Real Numbers | |
| |
| |
| Addition of Real Numbers | |
| |
| |
| Subtraction of Real Numbers | |
| |
| |
| Properties of Real Numbers | |
| |
| |
| Multiplication of Real Numbers | |
| |
| |
| Division of Real Numbers | |
| |
| |
| Subsets of Real Numbers | |
| |
| |
| Addition and Subtraction with Fractions | |
| |
| |
| Summary | |
| |
| |
| Review | |
| |
| |
| Test | |
| |
| |
| Projects | |
| |
| |
| |
| Linear Equations and Inequalities | |
| |
| |
| Simplifying Expressions. | |
| |
| |
| Addition Property of Equality | |
| |
| |
| Multiplication Property of Equality | |
| |
| |
| Solving Linear Equations | |
| |
| |
| Formulas | |
| |
| |
| Applications | |
| |
| |
| More Applications | |
| |
| |
| Linear Inequalities | |
| |
| |
| Summary | |
| |
| |
| Review | |
| |
| |
| Cumulative Review, Chapters 1-2 | |
| |
| |
| Test | |
| |
| |
| Projects | |
| |
| |
| |
| Graphing and Linear Systems | |
| |
| |
| Paired Data and Graphing Ordered Pairs | |
| |
| |
| Solutions to Linear Equations in Two Variables | |
| |
| |
| Graphing Linear Equations in Two Variables | |
| |
| |
| More on Graphing: Intercepts | |
| |
| |
| Solving Linear Systems by Graphing | |
| |
| |
| The Addition Method | |
| |
| |
| The Substitution Method | |
| |
| |
| Applications | |
| |
| |
| Summary | |
| |
| |
| Review | |
| |
| |
| Cumulative Review | |
| |
| |
| Test | |
| |
| |
| Projects | |
| |
| |
| |
| Exponents and Polynomials | |
| |
| |
| Multiplication with Exponents | |
| |
| |
| Division with Exponents | |
| |
| |
| Operations with Monomials | |
| |
| |
| Addition and Subtraction of Polynomials | |
| |
| |
| Multiplication with Polynomials | |
| |
| |
| Binomial Squares and Other Special Products | |
| |
| |
| Dividing a Polynomial by a Monomial | |
| |
| |
| Dividing a Polynomial by a Polynomial | |
| |
| |
| Summary | |
| |
| |
| Review | |
| |
| |
| Cumulative Review, Chapters 1-4 | |
| |
| |
| Test | |
| |
| |
| Projects | |
| |
| |
| |
| Factoring | |
| |
| |
| The Greatest Common Factor and Factoring by Grouping | |
| |
| |
| Factoring Trinomials | |
| |
| |
| More Trinomials to Factor | |
| |
| |
| The Difference of Two Squares | |
| |
| |
| Factoring: A General Review | |
| |
| |
| Solving Equations by Factoring | |
| |
| |
| Applications | |
| |
| |
| Summary | |
| |
| |
| Review | |
| |
| |
| Cumulative Review, Chapters 1-5 | |
| |
| |
| Test | |
| |
| |
| Projects | |
| |
| |
| |
| Rational Expressions | |
| |
| |
| Reducing Rational Expressions to Lowest Terms | |
| |
| |
| Multiplication and Division of Rational Expressions | |
| |
| |
| Addition and Subtraction of Rational Expressions | |
| |
| |
| Equations Involving Rational Expressions | |
| |
| |
| Applications | |
| |
| |
| Complex Fractions | |
| |
| |
| Proportions | |
| |
| |
| Summary | |
| |
| |
| Review | |
| |
| |
| Cumulative Review, Chapters 1-6 | |
| |
| |
| Test | |
| |
| |
| Projects | |
| |
| |
| |
| Transitions | |
| |
| |
| Review of Solving Equations | |
| |
| |
| Equations with Absolute Value | |
| |
| |
| Compound Inequalities and Interval Notation | |
| |
| |
| Inequalities Involving Absolute Value | |
| |
| |
| Factoring the Sum and Difference of Two Cubes | |
| |
| |
| Review of Systems of Linear Equations in Two Variables | |
| |
| |
| Systems of Linear Equations in Three Variables | |
| |
| |
| Summary | |
| |
| |
| Review | |
| |
| |
| Cumulative Review, Chapters 1-7 | |
| |
| |
| Test | |
| |
| |
| Projects | |
| |
| |
| |
| Equations and Inequalities in Two Variables | |
| |
| |
| The Slope of a Line | |
| |
| |
| The Equation of a Line | |
| |
| |
| Linear Inequalities in Two Variables | |
| |
| |
| Introduction to Functions | |
| |
| |
| Function Notation | |
| |
| |
| Algebra and Composition with Functions | |
| |
| |
| Variation | |
| |
| |
| Summary | |
| |
| |
| Review | |
| |
| |
| Cumulative Review, Chapters 1-8 | |
| |
| |
| Test | |
| |
| |
| Projects | |
| |
| |
| |
| Rational Exponents and Roots | |
| |
| |
| Rational Exponents | |
| |
| |
| More Expressions Involving Rational Exponents | |
| |
| |
| Simplified Form for Radicals | |
| |
| |
| Addition and Subtraction of Radical Expressions | |
| |
| |
| Multiplication and Division of Radical Expressions | |
| |
| |
| Equations with Radicals | |
| |
| |
| Complex Numbers | |
| |
| |
| Summary | |
| |
| |
| Review | |
| |
| |
| Cumulative Review, Chapters 1-9 | |
| |
| |
| Test | |
| |
| |
| Projects | |
| |
| |
| |
| Quadratic Equations | |
| |
| |
| Completing the Square | |
| |
| |
| The Quadratic Formula | |
| |
| |
| Additional Items Involving Solutions to Equations | |
| |
| |
| Equations in Quadratic Form | |
| |
| |
| Graphing Parabolas | |
| |
| |
| Quadratic Inequalities | |
| |
| |
| Summary | |
| |
| |
| Review | |
| |
| |
| Cumulative Review, Chapters 1-10 | |
| |
| |
| Test | |
| |
| |
| Projects | |
| |
| |
| |
| Exponential and Logarithmic Functions | |
| |
| |
| Exponential Functions | |
| |
| |
| The Inverse of a Function | |
| |
| |
| Logarithms are Exponents | |
| |
| |
| Properties of Logarithms | |
| |
| |
| Common Logarithms and Natural Logarithms | |
| |
| |
| Exponential Equations and Change of Base | |
| |
| |
| Summary | |
| |
| |
| Review | |
| |
| |
| Cumulative Review, Chapters 1-11 | |
| |
| |
| Test | |
| |
| |
| Projects | |
| |
| |
| |
| Conic Sections | |
| |
| |
| The Circle | |
| |
| |
| Ellipses and Hyperbolas | |
| |
| |
| Second-degree Inequalities and Nonlinear Systems | |
| |
| |
| Summary | |
| |
| |
| Review | |
| |
| |
| Cumulative Review, Chapters 1-12 | |
| |
| |
| Test | |
| |
| |
| Projects | |
| |
| |
| Appendices | |
| |
| |
| |
| Synthetic Division | |
| |
| |
| |
| Introduction to Determinants | |
| |
| |
| |
| Cramer's Rule | |
| |
| |
| |
| Systems of Linear Inequalities | |
| |
| |
| Solutions to Selected Problems | |
| |
| |
| Answers to Chapter Reviews, Cumulative Reviews, Chapter Tests, and Odd-Numbered Problems | |