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# Intermediate Algebra

**by**Bittinger, Marvin L.

10th

### 9780321319081

0321319087

Paperback

1/1/2007

Addison Wesley

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## Summary

The Bittinger System for Success-Make It Work For You! Building on its reputation for accurate content and a unified system of instruction, the Tenth Edition of the Bittinger paperback series integrates success-building study tools, innovative pedagogy, and a comprehensive instructional support package with time-tested teaching techniques.

## Table of Contents

Index of Applications | p. xiii |

Index of Study Tips | p. xvii |

Preface | p. xix |

Review of Basic Algebra | |

The Set of Real Numbers | p. 2 |

Operations with Real Numbers | p. 13 |

Exponential Notation and Order of Operations | p. 25 |

Introduction to Algebraic Expressions | p. 35 |

Equivalent Algebraic Expressions | p. 42 |

Simplifying Algebraic Expressions | p. 50 |

Properties of Exponents and Scientific Notation | p. 58 |

Summary and Review | p. 70 |

Test | p. 73 |

Solving Linear Equations and Inequalities | |

Solving Equations | p. 76 |

Formulas and Applications | p. 90 |

Applications and Problem Solving | p. 99 |

Sets, Inequalities, and Interval Notation | p. 113 |

Translating for Success | p. 122 |

Intersections, Unions, and Compound Inequalities | p. 129 |

Absolute-Value Equations and Inequalities | p. 141 |

Summary and Review | p. 152 |

Test | p. 155 |

Graphs, Functions, and Applications | |

Graphs of Equations | p. 158 |

Functions and Graphs | p. 174 |

Finding Domain and Range | p. 189 |

Linear Functions: Graphs and Slope | p. 194 |

More on Graphing Linear Equations | p. 205 |

Visualizing for Success | p. 213 |

Finding Equations of Lines; Applications | p. 218 |

Summary and Review | p. 232 |

Test | p. 236 |

Cumulative Review: Chapters R-2 | p. 240 |

Systems of Equations | |

Systems of Equations in Two Variables | p. 244 |

Solving by Substitution | p. 253 |

Solving by Elimination | p. 259 |

Solving Applied Problems: Two Equations | p. 269 |

Translating for Success | p. 278 |

Systems of Equations in Three Variables | p. 283 |

Solving Applied Problems: Three Equations | p. 290 |

Systems of Inequalities in Two Variables | p. 298 |

Visualizing for Success | p. 308 |

Business and Economics Applications | p. 314 |

Summary and Review | p. 320 |

Test | p. 323 |

Polynomials and Polynomial Functions | |

Introduction to Polynomials and Polynomial Functions | p. 326 |

Multiplication of Polynomials | p. 338 |

Introduction to Factoring | p. 349 |

Factoring Trinomials: x[superscript 2] + bx + c | p. 356 |

Factoring Trinomials: ax[superscript 2] + bx + c, a [not equal] 1 | p. 362 |

Special Factoring | p. 371 |

Visualizing for Success | p. 378 |

Factoring: A General Strategy | p. 383 |

Applications of Polynomial Equations and Functions | p. 388 |

Translating for Success | p. 396 |

Summary and Review | p. 402 |

Test | p. 405 |

Cumulative Review: Chapters R-4 | p. 407 |

Rational Expressions, Equations, and Functions | |

Rational Expressions and Functions: Multiplying, Dividing, and Simplifying | p. 412 |

LCMs, LCDs, Addition, and Subtraction | p. 425 |

Division of Polynomials | p. 436 |

Complex Rational Expressions | p. 444 |

Solving Rational Equations | p. 451 |

Applications and Proportions | p. 460 |

Translating for Success | p. 469 |

Formulas and Applications | p. 475 |

Variation and Applications | p. 479 |

Summary and Review | p. 490 |

Test | p. 493 |

Radical Expressions, Equations, and Functions | |

Radical Expressions and Functions | p. 496 |

Rational Numbers as Exponents | p. 508 |

Simplifying Radical Expressions | p. 515 |

Addition, Subtraction, and More Multiplication | p. 524 |

More on Division of Radical Expressions | p. 530 |

Solving Radical Equations | p. 535 |

Applications Involving Powers and Roots | p. 547 |

Translating for Success | p. 549 |

The Complex Numbers | p. 554 |

Summary and Review | p. 565 |

Test | p. 568 |

Cumulative Review: Chapters R-6 | p. 570 |

Quadratic Equations and Functions | |

The Basics of Solving Quadratic Equations | p. 574 |

The Quadratic Formula | p. 588 |

Applications Involving Quadratic Equations | p. 596 |

Translating for Success | p. 602 |

More on Quadratic Equations | p. 608 |

Graphing f(x) = a(x - h)[superscript 2] + k | p. 617 |

Graphing f(x) = ax[superscript 2] + bx + c | p. 628 |

Visualizing for Success | p. 633 |

Mathematical Modeling with Quadratic Functions | p. 638 |

Polynomial and Rational Inequalities | p. 652 |

Summary and Review | p. 660 |

Test | p. 663 |

Exponential and Logarithmic Functions | |

Exponential Functions | p. 666 |

Inverse and Composite Functions | p. 680 |

Logarithmic Functions | p. 698 |

Properties of Logarithmic Functions | p. 709 |

Natural Logarithmic Functions | p. 715 |

Visualizing for Success | p. 720 |

Solving Exponential and Logarithmic Equations | p. 724 |

Mathematical Modeling with Exponential and Logarithmic Functions | p. 731 |

Translating for Success | p. 740 |

Summary and Review | p. 746 |

Test | p. 750 |

Cumulative Review: Chapters R-8 | p. 753 |

Conic Sections | |

Parabolas and Circles | p. 758 |

Ellipses | p. 771 |

Hyperbolas | p. 779 |

Visualizing for Success | p. 783 |

Nonlinear Systems of Equations | p. 787 |

Summary and Review | p. 797 |

Test | p. 801 |

Cumulative Review/Final Examination: Chapters R-9 | p. 803 |

Appendixes | |

Handling Dimension Symbols | p. 810 |

Determinants and Cramer's Rule | p. 813 |

Elimination Using Matrices | p. 818 |

The Algebra of Functions | p. 823 |

Photo Credits | p. 826 |

Answers (Student Edition only) | p. 1 |

Glossary | p. 1 |

Index | p. 1 |

Table of Contents provided by Ingram. All Rights Reserved. |