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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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