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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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