Preface to the Instructor | p. vi |

Preface to the Student | p. xiii |

Basic Properties and Definitions | p. 1 |

Fundamental Definitions and Notation | p. 3 |

Properties of Real Numbers | p. 16 |

Arithmetic With Real Numbers | p. 27 |

Exponents and Scientific Notation | p. 38 |

Polynomials, Sums, Differences, and Products | p. 49 |

Factoring | p. 61 |

Special Factoring | p. 70 |

Recognizing Patterns | p. 79 |

Summary | p. 90 |

Review | p. 94 |

Test | p. 96 |

Projects | p. 97 |

Equations and Inequalities in One Variable | p. 99 |

Linear and Quadratic Equations in One Variable | p. 101 |

Formulas | p. 112 |

Applications | p. 126 |

Linear Inequalities in One Variable | p. 143 |

Equations With Absolute Value | p. 154 |

Inequalities Involving Absolute Value | p. 159 |

Summary | p. 167 |

Review | p. 169 |

Test | p. 171 |

Cumulative Review | p. 172 |

Projects | p. 173 |

Equations and Inequalities in Two Variables | p. 176 |

Paired Data and the Rectangular Coordinate System | p. 178 |

The Slope of a Line | p. 192 |

The Equation of a Line | p. 202 |

Linear Inequalities in Two Variables | p. 215 |

Introduction to Functions | p. 223 |

Function Notation | p. 236 |

Algebra With Functions | p. 247 |

Variation | p. 254 |

Summary | p. 266 |

Review | p. 269 |

Test | p. 270 |

Cumulative Review | p. 271 |

Projects | p. 272 |

Systems of Linear Equations and Inequalities | p. 274 |

Systems of Linear Equations in Two Variables | p. 276 |

Systems of Linear Equations in Three Variables | p. 289 |

Introduction to Determinants | p. 298 |

Cramer's Rule | p. 306 |

Applications | p. 312 |

Systems of Linear Inequalities | p. 327 |

Summary | p. 336 |

Review | p. 339 |

Test | p. 340 |

Cumulative Review | p. 341 |

Projects | p. 343 |

Rational Expressions and Rational Functions | p. 345 |

Basic Properties and Reducing to Lower Terms | p. 347 |

Division of Polynomials | p. 360 |

Multiplication and Division of Rational Expressions | p. 371 |

Addition and Subtraction of Rational Expressions | p. 380 |

Complex Fractions | p. 389 |

Equations Involving Rational Expressions | p. 394 |

Applications | p. 405 |

Summary | p. 417 |

Review | p. 419 |

Test | p. 420 |

Cumulative Review | p. 421 |

Projects | p. 422 |

Rational Exponents and Roots | p. 424 |

Rational Exponents | p. 426 |

More Expressions Involving Rational Exponents | p. 438 |

Simplified Form for Radicals | p. 445 |

Addition and Subtraction of Radical Expressions | p. 457 |

Multiplication and Division of Radical Expressions | p. 461 |

Equations With Radicals | p. 468 |

Complex Numbers | p. 478 |

Summary | p. 486 |

Review | p. 488 |

Test | p. 489 |

Cumulative Review | p. 490 |

Projects | p. 491 |

Quadratic Functions | p. 493 |

Completing the Square | p. 494 |

The Quadratic Formula | p. 505 |

Additional Items Involving Solutions to Equations | p. 516 |

Equations Quadratic in Form | p. 526 |

Graphing Parabolas | p. 535 |

Quadratic Inequalities | p. 549 |

Summary | p. 560 |

Review | p. 561 |

Test | p. 562 |

Cumulative Review | p. 563 |

Projects | p. 564 |

Exponential and Logarithmic Functions | p. 566 |

Exponential Functions | p. 567 |

The Inverse of a Function | p. 578 |

Logarithms Are Exponents | p. 588 |

Properties of Logarithms | p. 597 |

Common Logarithms and Natural Logarithms | p. 602 |

Exponential Equations and Change of Base | p. 611 |

Summary | p. 620 |

Review | p. 621 |

Test | p. 623 |

Cumulative Review | p. 623 |

Projects | p. 624 |

Sequences and Series | p. 627 |

Sequences | p. 628 |

Series | p. 637 |

Arithmetic Sequences | p. 644 |

Geometric Sequences | p. 651 |

The Binomial Expansion | p. 661 |

Summary | p. 669 |

Review | p. 671 |

Test | p. 672 |

Cumulative Review | p. 673 |

Projects | p. 674 |

Conic Sections | p. 676 |

The Circle | p. 677 |

Ellipses and Hyperbolas | p. 686 |

Second-Degree Inequalities and Nonlinear Systems | p. 700 |

Summary | p. 708 |

Review | p. 709 |

Test | p. 710 |

Cumulative Review | p. 710 |

Projects | p. 711 |

Introduction to Trigonometry | p. 713 |

Degrees, Radians, and Special Triangles | p. 714 |

Trigonometric Functions | p. 724 |

Trigonometric Functions and Calculators | p. 731 |

Graphing I: Amplitude and Period | p. 743 |

Graphing II: Phase Shift | p. 758 |

Finding an Equation from Its Graph | p. 768 |

Inverse Trigonometric Functions | p. 779 |

Summary | p. 785 |

Review | p. 788 |

Test | p. 790 |

Cumulative Review | p. 791 |

Projects | p. 793 |

Trigonometric Identities and Equations | p. 795 |

Introduction to Identities | p. 796 |

Proving Identities | p. 804 |

Sum and Difference Formulas | p. 809 |

Double-Angle and Half-Angle Formulas | p. 817 |

Solving Trigonometric Equations | p. 823 |

Summary | p. 830 |

Review | p. 832 |

Test | p. 833 |

Cumulative Review | p. 833 |

Projects | p. 835 |

Triangles | p. 837 |

Definition II: Right Triangle Trigonometry | p. 838 |

The Law of Sines | p. 851 |

The Ambiguous Case | p. 857 |

The Law of Cosines | p. 862 |

Summary | p. 868 |

Review | p. 870 |

Test | p. 871 |

Cumulative Review | p. 871 |

Projects | p. 873 |

Synthetic Division | p. 1 |

Matrix Solutions to Linear Systems | p. 1 |

Conditional Statements | p. 1 |

Answers to Odd-Numbered Problems, Chapter Reviews, Chapter Tests, and Cumulative Reviews | p. 1 |

Index | p. 1 |

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