Intermediate Algebra: Graphs and Models
, by Marvin L. Bittinger; David J. Ellenbogen; Barbara L. Johnson
- ISBN: 9780201461534 | 0201461536
- Cover: Nonspecific Binding
- Copyright: 11/21/2011
| Preface | p. xi |
| Algebra and Problem Solving | |
| Some Basics of Algebra | p. 2 |
| Operations and Properties of Real Numbers | p. 11 |
| Solving Equations | p. 22 |
| Connecting the Concepts | p. 25 |
| Introduction to Problem Solving | p. 29 |
| Formulas, Models, and Geometry | p. 39 |
| Properties of Exponents | p. 46 |
| Scientific Notation | p. 56 |
| Summary and Review | p. 64 |
| Test | p. 68 |
| Graphs, Functions, and Linear Equations | |
| Graphs | p. 70 |
| Functions | p. 78 |
| Linear Functions: Slope, Graphs, and Models | p. 93 |
| Another Look at Linear Graphs | p. 106 |
| Other Equations of Lines | p. 117 |
| Connecting the Concepts | p. 122 |
| The Algebra of Functions | p. 126 |
| Summary and Review | p. 135 |
| Test | p. 138 |
| Systems of Linear Equations and Problem Solving | |
| Systems of Equations in Two Variables | p. 142 |
| Solving by Substitution or Elimination | p. 151 |
| Connecting the Concepts | p. 156 |
| Solving Applications: Systems of Two Equations | p. 159 |
| Systems of Equations in Three Variables | p. 172 |
| Connecting the Concepts | p. 172 |
| Solving Applications: Systems of Three Equations | p. 181 |
| Elimination Using Matrices | p. 186 |
| Determinants and Cramer's Rule | p. 191 |
| Business and Economic Applications | p. 197 |
| Summary and Review | p. 203 |
| Test | p. 206 |
| Cumulative Review: Chapters 1-3 | p. 207 |
| Inequalities and Problem Solving | |
| Inequalities and Applications | p. 212 |
| Intersections, Unions, and Compound Inequalities | p. 224 |
| Absolute-Value Equations and Inequalities | p. 233 |
| Inequalities in Two Variables | p. 242 |
| Connecting the Concepts | p. 249 |
| Applications Using Linear Programming | p. 252 |
| Summary and Review | p. 260 |
| Test | p. 263 |
| Polynomials and Polynomial Functions | |
| Introduction to Polynomials and Polynomial Functions | p. 266 |
| Connecting the Concepts | p. 266 |
| Multiplication of Polynomials | p. 277 |
| Common Factors and Factoring by Grouping | p. 287 |
| Connecting the Concepts | p. 287 |
| Factoring Trinomials | p. 293 |
| Factoring Perfect-Square Trinomials and Differences of Squares | p. 303 |
| Factoring Sums or Differences of Cubes | p. 309 |
| Factoring: A General Strategy | p. 313 |
| Applications of Polynomial Equations | p. 317 |
| Summary and Review | p. 329 |
| Test | p. 332 |
| Rational Expressions, Equations, and Functions | |
| Rational Expressions and Functions: Multiplying and Dividing | p. 334 |
| Rational Expressions and Functions: Adding and Subtracting | p. 343 |
| Complex Rational Expressions | p. 352 |
| Rational Equations | p. 361 |
| Connecting the Concepts | p. 361 |
| Solving Applications Using Rational Equations | p. 368 |
| Division of Polynomials | p. 378 |
| Synthetic Division | p. 383 |
| Formulas, Applications, and Variation | p. 388 |
| Summary and Review | p. 401 |
| Test | p. 404 |
| Cumulative Review: Chapters 1-6 | p. 405 |
| Exponents and Radicals | |
| Radical Expressions and Functions | p. 408 |
| Rational Numbers as Exponents | p. 416 |
| Multiplying Radical Expressions | p. 423 |
| Dividing Radical Expressions | p. 429 |
| Expressions Containing Several Radical Terms | p. 435 |
| Solving Radical Equations | p. 443 |
| Connecting the Concepts | p. 443 |
| Geometric Applications | p. 450 |
| The Complex Numbers | p. 458 |
| Summary and Review | p. 466 |
| Test | p. 469 |
| Quadratic Functions and Equations | |
| Quadratic Equations | p. 472 |
| The Quadratic Formula | p. 483 |
| Applications Involving Quadratic Equations | p. 490 |
| Studying Solutions of Quadratic Equations | p. 498 |
| Equations Reducible to Quadratic | p. 502 |
| Quadratic Functions and Their Graphs | p. 508 |
| Connecting the Concepts | p. 514 |
| More About Graphing Quadratic Functions | p. 517 |
| Problem Solving and Quadratic Functions | p. 523 |
| Polynomial and Rational Inequalities | p. 532 |
| Summary and Review | p. 540 |
| Test | p. 544 |
| Exponential and Logarithmic Functions | |
| Composite and Inverse Functions | p. 548 |
| Exponential Functions | p. 560 |
| Connecting the Concepts | p. 560 |
| Logarithmic Functions | p. 569 |
| Properties of Logarithmic Functions | p. 576 |
| Common and Natural Logarithms | p. 583 |
| Solving Exponential and Logarithmic Equations | p. 590 |
| Applications of Exponential and Logarithmic Functions | p. 596 |
| Summary and Review | p. 610 |
| Test | p. 613 |
| Cumulative Review: Chapters 1-9 | p. 615 |
| Conic Sections | |
| Conic Sections: Parabolas and Circles | p. 620 |
| Conic Sections: Ellipses | p. 631 |
| Conic Sections: Hyperbolas | p. 639 |
| Connecting the Concepts | p. 643 |
| Nonlinear Systems of Equations | p. 649 |
| Summary and Review | p. 658 |
| Test | p. 660 |
| Sequences, Series, and the Binomial Theorem | |
| Sequences and Series | p. 662 |
| Arithmetic Sequences and Series | p. 668 |
| Geometric Sequences and Series | p. 677 |
| The Binomial Theorem | p. 688 |
| Connecting the Concepts | p. 688 |
| Summary and Review | p. 696 |
| Test | p. 698 |
| Cumulative Review: Chapters 1-11 | p. 699 |
| The Graphing Calculator | p. 703 |
| Answers | p. 1 |
| Index | p. 1 |
| Index of Applications | |
| Videotape and CD Index | |
| Table of Contents provided by Syndetics. All Rights Reserved. |
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