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 | |

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