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Introductory and Intermediate Algebra : A Combined Approach
ISBN: 9780201792478 | 0201792478
Edition: 2ndFormat: Paperback
Publisher: Addison-Wesley
Pub. Date: 12/1/2001
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This text is designed to provide an interactive learning experience between the learner and the exposition, annotated examples, art, and the exercises you will find within. The first book on the market to introduce a "learn as you go" approach by including practice exercises in the margins of the text, this best seller uses real-data applications to help apply mathematics to your everyday life. Concepts and skills learned as you progress through the text are revisited again and again in the form of cumulative reviews, skill maintenance exercises, and synthesis exercises to help you retain what you have learned and see how it all relates together.
| Introduction to Real Numbers and Algebraic Expressions | |
| Pretest | p. 2 |
| Introduction to Algebra | p. 3 |
| The Real Numbers | p. 12 |
| Addition of Real Numbers | p. 24 |
| Subtraction of Real Numbers | p. 32 |
| Multiplication of Real Numbers | p. 40 |
| Division of Real Numbers | p. 47 |
| Properties of Real Numbers | p. 56 |
| Simplifying Expressions... MORE | p. 69 |
| Summary and Review | p. 79 |
| Test | p. 82 |
| Solving Equations and Inequalities | |
| Pretest | p. 86 |
| Solving Equations: The Addition Principle | p. 87 |
| Solving Equations: The Multiplication Principle | p. 93 |
| Using the Principles Together | p. 99 |
| Formulas | p. 111 |
| Applications of Percent | p. 119 |
| Applications and Problem Solving | p. 127 |
| Solving Inequalities | p. 142 |
| Applications and Problem Solving with Inequalities | p. 154 |
| Summary and Review | p. 163 |
| Test | p. 166 |
| Graphs of Linear Equations | |
| Pretest | p. 170 |
| Graphs and Applications | p. 171 |
| Graphing Linear Equations | p. 180 |
| More with Graphing and Intercepts | p. 197 |
| Slope and Applications | p. 208 |
| Summary and Review | p. 220 |
| Test | p. 225 |
| Cumulative Review: Chapters 1-3 | p. 229 |
| Polynomials: Operations | |
| Pretest | p. 234 |
| Integers as Exponents | p. 235 |
| Exponents and Scientific Notation | p. 245 |
| Introduction to Polynomials | p. 258 |
| Addition and Subtraction of Polynomials | p. 272 |
| Multiplication of Polynomials | p. 280 |
| Special Products | p. 287 |
| Operations with Polynomials in Several Variables | p. 297 |
| Division of Polynomials | p. 306 |
| Summary and Review | p. 313 |
| Test | p. 316 |
| Polynomials: Factoring | |
| Pretest | p. 320 |
| Introduction to Factoring | p. 321 |
| Factoring Trinomials of the Type x[superscript 2] + bx + c | p. 327 |
| Factoring ax[superscript 2] + bx + c, a [not equal] 1: The FOIL Method | p. 337 |
| Factoring ax[superscript 2] + bx + c, a [not equal] 1: The ac-Method | p. 346 |
| Factoring Trinomial Squares and Differences of Squares | p. 352 |
| Factoring Sums or Differences of Cubes | p. 362 |
| Factoring: A General Strategy | p. 367 |
| Solving Quadratic Equations by Factoring | p. 376 |
| Applications of Quadratic Equations | p. 385 |
| Summary and Review | p. 397 |
| Test | p. 400 |
| Rational Expressions and Equations | |
| Pretest | p. 404 |
| Multiplying and Simplifying Rational Expressions | p. 405 |
| Division and Reciprocals | p. 416 |
| Least Common Multiples and Denominators | p. 421 |
| Adding Rational Expressions | p. 425 |
| Subtracting Rational Expressions | p. 433 |
| Complex Rational Expressions | p. 441 |
| Solving Rational Equations | p. 447 |
| Applications Using Rational Equations and Proportions | p. 457 |
| Variation and Applications | p. 472 |
| Summary and Review | p. 484 |
| Test | p. 487 |
| Cumulative Review: Chapters 1-6 | p. 489 |
| Graphs, Functions, and Applications | |
| Pretest | p. 494 |
| Functions and Graphs | p. 495 |
| Finding Domain and Range | p. 510 |
| Linear Functions: Graphs and Slope | p. 515 |
| More on Graphing Linear Equations | p. 526 |
| Finding Equations of Lines; Applications | p. 538 |
| Summary and Review | p. 553 |
| Test | p. 556 |
| Systems of Equations | |
| Pretest | p. 562 |
| Systems of Equations in Two Variables | p. 563 |
| Solving by Substitution | p. 572 |
| Solving by Elimination | p. 578 |
| Solving Applied Problems: Two Equations | p. 588 |
| Systems of Equations in Three Variables | p. 601 |
| Solving Applied Problems: Three Equations | p. 608 |
| Business and Economics Applications | p. 616 |
| Summary and Review | p. 623 |
| Test | p. 626 |
| More on Inequalities | |
| Pretest | p. 630 |
| Sets, Inequalities, and Interval Notation | p. 631 |
| Intersections, Unions, and Compound Inequalities | p. 646 |
| Absolute-Value Equations and Inequalities | p. 658 |
| Systems of Inequalities in Two Variables | p. 669 |
| Summary and Review | p. 684 |
| Test | p. 687 |
| Cumulative Review: Chapters 1-9 | p. 689 |
| Radical Expressions, Equations, and Functions | |
| Pretest | p. 694 |
| Radical Expressions and Functions | p. 695 |
| Rational Numbers as Exponents | p. 707 |
| Simplifying Radical Expressions | p. 714 |
| Addition, Subtraction, and More Multiplication | p. 723 |
| More on Division of Radical Expressions | p. 729 |
| Solving Radical Equations | p. 735 |
| Applications Involving Powers and Roots | p. 747 |
| The Complex Numbers | p. 753 |
| Summary and Review | p. 764 |
| Test | p. 768 |
| Quadratic Equations and Functions | |
| Pretest | p. 772 |
| The Basics of Solving Quadratic Equations | p. 773 |
| The Quadratic Formula | p. 786 |
| Applications Involving Quadratic Equations | p. 794 |
| More on Quadratic Equations | p. 805 |
| Graphing f(x) = a(x - h)[superscript 2] + k | p. 814 |
| Graphing f(x) = ax[superscript 2] + bx + c | p. 825 |
| Mathematical Modeling with Quadratic Functions | p. 834 |
| Polynomial and Rational Inequalities | p. 848 |
| Summary and Review | p. 857 |
| Test | p. 860 |
| Exponential and Logarithmic Functions | |
| Pretest | p. 864 |
| Exponential Functions | p. 865 |
| Inverse and Composite Functions | p. 880 |
| Logarithmic Functions | p. 898 |
| Properties of Logarithmic Functions | p. 909 |
| Natural Logarithmic Functions | p. 915 |
| Solving Exponential and Logarithmic Equations | p. 924 |
| Mathematical Modeling with Exponential and Logarithmic Functions | p. 931 |
| Summary and Review | p. 945 |
| Test | p. 949 |
| Cumulative Review/Final Examination: Chapters 1-12 | p. 952 |
| Appendixes | |
| Factoring and LCMs | p. 960 |
| Fraction Notation | p. 965 |
| Exponential Notation and Order of Operations | p. 974 |
| Review of Factoring Polynomials | p. 979 |
| Introductory Algebra Review | p. 988 |
| Handling Dimension Symbols | p. 990 |
| Mean, Median, and Mode | p. 993 |
| Synthetic Division | p. 996 |
| Determinants and Cramer's Rule | p. 999 |
| Elimination Using Matrices | p. 1004 |
| The Algebra of Functions | p. 1009 |
| Distance, Midpoints, and Circles | p. 1012 |
| Photo Credits | p. 1018 |
| Answers | p. 1 |
| Index | p. 1 |
| Table of Contents provided by Ingram. All Rights Reserved. |
