Verfügbarkeit: Elementary algebra | Technische Universität München

Elementary algebra: concepts and applications

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Bibliographische Detailangaben
Beteiligte Personen:	Bittinger, Marvin L. (VerfasserIn), Ellenbogen, David (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Boston ; Munich [u.a.] Addison-Wesley 2010
Ausgabe:	8th ed.
Schlagwörter:	Algebra > Textbooks Algebra Aufgabensammlung
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018628879&sequence=000003&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018628879&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Includes indexes.
Umfang:	xviii, 600, [59] p. ill. (chiefly col.) 29 cm. + 1 CD-ROM (12 cm)
ISBN:	9780321557179 0321557174 0321593790

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Datensatz im Suchindex

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adam_text	Contents Introduction to Algebraic Expressions I.I Introduction to Algebra 2 Algebraic Expressions · Translating to Algebraic Expressions Translating to Equations hAÍ . -¿LAT 1 ¡G. cGR SUCCESS 9 1.2 The Commutative, Associative, and Distributive Laws 13 Equivalent Expressions · The Commutative Laws · The Associative Laws · The Distributive Law · The Distributive Law and Factoring 1.3 Fraction Notation 21 Factors and Prime Factorizations · Fraction Notation · Multiplication, Division, and Simplification · More Simplifying · Addition and Subtraction 1.4 Positive and Negative Real Numbers 29 The Integers · The Rational Numbers · Real Numbers and Order · Absolute Value 1.5 Addition of Real Numbers 37 Adding with the Number Line · Adding Without the Number Line · Problem Solving · Combining Like Terms 1.6 Subtraction of Real Numbers 43 Opposites and Additive Inverses · Subtraction · Problem Solving 1.7 Multiplication and Division of Real Numbers 51 Multiplication · Division CONNECTING THE CONCEPTS 59 1.8 Exponential Notation and Order of Operations 60 Exponential Notation · Order of Operations · Simplifying and the Distributive Law · The Opposite of a Sum STUDY SUMMARY 69 REVIEW EXERCISES 73 TEST 75 Equations, Inequalities, and Problem Solving 77 2.1 Solving Equations 78 Equations and Solutions · The Addition Principle · The Multiplication Principle · Selecting the Correct Approach III IV CONTENTS 2.2 Using the Principles Together 85 Applying Both Principles · Combining Like Terms · Clearing Fractions and Decimals 23 Formulas 92 Evaluating Formulas · Solving for a Variable 2.4 Applications with Percent 99 Converting Between Percent Notation and Decimal Notation · Solving Percent Problems 2.5 Problem Solving 109 Five Steps for Problem Solving · Applying the Five Steps 2.6 Solving Inequalities 120 Solutions of Inequalities · Graphs of Inequalities · Solving Inequalities Using the Addition Principle · Solving Inequalities Using the Multiplication Principle · Using the Principles Together CONNECTING THE CONCEPTS 128 2.7 Solving Applications with Inequalities 129 Translating to Inequalities · Solving Problems TRANSLATING FOR SUCCESS 132 STUDY SUMMARY 137 REVIEW EXERCISES 140 TEST 142 CUMULATIVE REVIEW: CHAPTERS 1-2 143 Introduction to Graphing 145 3.1 Reading Graphs, Plotting Points, and Scaling Graphs 146 Problem Solving with Bar, Circle, and Line Graphs · Points and Ordered Pairs · Numbering the Axes Appropriately 3.2 Graphing Linear Equations 156 Solutions of Equations · Graphing Linear Equations · Applications 3.3 Graphing and Intercepts 166 Intercepts · Using Intercepts to Graph · Graphing Horizontal or Vertical Lines ЗА Rates 174 Rates of Change · Visualizing Rates 3.5 Slope 183 Rate and Slope · Horizontal and Vertical Lines · Applications 3.6 Slope-Intercept Form 194 Using the y-Intercept and the Slope to Graph a Line · Equations in Slope-Intercept Form · Graphing and Slope-Intercept Form CONNECTING THE CONCEPTS 202 CONTENTS 3.7 Point-Slope Form 203 Writing Equations in Point-Slope Form · Graphing and Point-Slope Form Estimations and Predictions Using Two Points VISUALIZING FOR SUCCESS 208 CONNECTING THE CONCEPTS 21 2 STUDY SUMMARY 214 REVIEW EXERCISES 21 В TEST 218 CUMULATIVE REVIEW: CHAPTERS 1-3 219 Polynomials 221 4.1 Exponents and Their Properties 222 Multiplying Powers with Like Bases · Dividing Powers with Like Bases · Zero as an Exponent · Raising a Power to a Power · Raising a Product or a Quotient to a Power 4.2 Polynomials 230 Terms · Types of Polynomials · Degree and Coefficients · Combining Like Terms · Evaluating Polynomials and Applications 4.3 Addition and Subtraction of Polynomials 238 Addition of Polynomials · Opposites of Polynomials · Subtraction of Polynomials · Problem Solving 4.4 Multiplication of Polynomials 246 Multiplying Monomials · Multiplying a Monomial and a Polynomial · Multiplying Any Two Polynomials · Checking by Evaluating 4.5 Special Products 253 Products of Two Binomials · Multiplying Sums and Differences of Two Terms · Squaring Binomials · Multiplications of Various Types VISUALIZING FOR SUCCESS 259 CONNECTING THE CONCEPTS 263 4.6 Polynomials in Several Variables 264 Evaluating Polynomials · Like Terms and Degree · Addition and Subtraction · Multiplication 4.7 Division of Polynomials 272 Dividing by a Monomial · Dividing by a Binomial 4.8 Negative Exponents and Scientific Notation 278 Negative Integers as Exponents · Scientific Notation · Multiplying and Dividing Using Scientific Notation CONNECTING THE CONCEPTS 287 STUDY SUMMARY 288 REVIEW EXERCISES 291 TEST 293 CUMULATIVE REVIEW: CHAPTERS 1-4 294 VÍ CONTENTS Polynomials and Factoring 297 5.1 Introduction to Factoring 298 Factoring Monomials · Factoring When Terms Have a Common Factor · Factoring by Grouping · Checking by Evaluating 5.2 Factoring Trinomials of the Type x2 ■+■ bx с 306 When the Constant Term Is Positive · When the Constant Term Is Negative · Prime Polynomials 5.3 Factoring Trinomials of the Type ax2 bx с 314 Factoring with FOIL · The Grouping Method CONNECTING THE CONCEPTS 322 5.4 Factoring Perfect-Square Trinomials and Differences of Squares 323 Recognizing Perfect-Square Trinomials · Factoring Perfect-Square Trinomials · Recognizing Differences of Squares · Factoring Differences of Squares · Factoring Completely 5.5 Factoring: A General Strategy 330 Choosing the Right Method 5.6 Solving Quadratic Equations by Factoring 335 The Principle of Zero Products · Factoring to Solve Equations CONNECTING THE CONCEPTS 343 5.7 Solving Applications 344 Applications · The Pythagorean Theorem TRANSLATING FOR SUCCESS 350 STUDY SUMMARY 35B REVIEW EXERCISES 358 TEST 3BO CUMULATIVE REVIEW: CHAPTERS 1-5 361 Rational Expressions and Equations 363 6.1 Rational Expressions 364 Simplifying Rational Expressions · Factors That Are Opposites 6.2 Multiplication and Division 371 Multiplication · Division 6.3 Addition, Subtraction, and Least Common Denominators 377 Addition When Denominators Are the Same · Subtraction When Denominators Are the Same · Least Common Multiples and Denominators 6.4 Addition and Subtraction with Unlike Denominators 385 Adding and Subtracting with LCDs · When Factors Are Opposites CONNECTING THE CONCEPTS 392 CONTENTS VII 6.5 Complex Rational Expressions 393 Using Division to Simplify · Multiplying by the LCD 6.6 Solving Rational Equations 399 Solving a New Type of Equation · A Visual Interpretation CONNECTING THE CONCEPTS 406 6.7 Applications Using Rational Equations and Proportions 407 Problems Involving Work · Problems Involving Motion · Problems Involving Proportions РПДМЅ1 AT!( IG FOR SUCŒSy 4 ] h STUDY SUMMARY 422 REVIEW EXERCISES 425 TEST 426 CUMULATIVE REVIEW: CHAPTERS 1-6 427 Systems and More Graphing 429 7.1 Systems of Equations and Graphing 430 Solutions of Systems · Solving Systems of Equations by Graphing 7.2 Systems of Equations and Substitution 436 The Substitution Method · Solving for the Variable First · Problem Solving 7.3 Systems of Equations and Elimination 443 Solving by the Elimination Method · Problem Solving CONNECTING THE CONCEPTS 451 7.4 More Applications Using Systems 452 Total-Value Problems · Mixture Problems 7.5 Linear Inequalities in Two Variables 461 Graphing Linear Inequalities · Linear Inequalities in One Variable 7.6 Systems of Linear Inequalities 466 Graphing Systems of Inequalities · Locating Solution Sets VISUALIZING Γ U R SIAXlbS 4UÖ 7.7 Direct and Inverse Variation 470 Equations of Direct Variation · Problem Solving with Direct Variation · Equations of Inverse Variation · Problem Solving with Inverse Variation STUDY SUMMARY 476 REVIEW EXERCISES 478 TEST 480 CUMULATIVE REVIEW: CHAPTERS 1-7 481 VIU CONTENTS Radical Expressions and Equations 483 8.1 Introduction to Square Roots and Radical Expressions 48A Square Roots · Radicands and Radical Expressions · Irrational Numbers · Square Roots and Absolute Value · Problem Solving 8.2 Multiplying and Simplifying Radical Expressions 491 Multiplying · Simplifying and Factoring · Simplifying Square Roots of Powers · Multiplying and Simplifying 8.3 Quotients Involving Square Roots 497 Dividing Radical Expressions · Rationalizing Denominators 8.4 Radical Expressions with Several Terms 501 Adding and Subtracting Radica] Expressions · More with Multiplication · More with Rationalizing Denominators 8.5 Radical Equations 506 Solving Radical Equations · Problem Solving and Applications CONNECTING THE CONCEPTS 511 8.6 Applications Using Right Triangles 512 Right Triangles · Problem Solving · The Distance Formula TRANSLATING FOR SUCCESS 517 8.7 Higher Roots and Rational Exponents 522 Higher Roots · Products and Quotients Involving Higher Roots · Rational Exponents · Calculators STUDY SUMMARY 528 REVIEW EXERCISES 530 TEST 532 CUMULATIVE REVIEW: CHAPTERS 1-8 533 Quadratic Equations 535 9.1 Solving Quadratic Equations: The Principle of Square Roots 536 The Principle of Square Roots · Solving Quadratic Equations of the Type (x + k)2 = ρ 9.2 Solving Quadratic Equations: Completing the Square 541 Completing the Square · Solving by Completing the Square 9.3 The Quadratic Formula and Applications 546 The Quadratic Formula · Problem Solving CONNECTING THE CONCEPTS 555 CONTENTS IX 9.4 Formulas 556 Solving Formulas 9.5 Complex Numbers as Solutions of Quadratic Equations 560 The Complex-Number System · Solutions of Equations CONNECTING THE CONCEPTS 563 9.6 Graphs of Quadratic Equations 564 Graphing Equations of the Form y = ax2 · Graphing Equations of the Form ƒ = ax2 + bx + с VISUALIZING FOR SUCCESS 569 9.7 Functions 571 Identifying Functions · Functions Written as Formulas · Function Notation · Graphs of Functions · Recognizing Graphs of Functions STUDY SUMMARY 581 REVIEW EXERCISES 583 TEST 585 CUMULATIVE REVIEW/FINAL EXAM: CHAPTERS 1-9 586 Appendixes A Factoring Sums or Differences of Cubes 589 Factoring a Sum of Two Cubes · Factoring a Difference of Two Cubes В Mean, Median, and Mode 591 Mean · Median · Mode С Sets 595 Naming Sets · Membership · Subsets · Intersections · Unions Tables 1 Fraction and Decimal Equivalents 599 2 Squares and Square Roots with Approximations to Three Decimal Places 600 Answers A-1 Glossary G-1 Index 1-1 Index of Applications 1-7 Concepts & Applications MARVIN L. BITTINGER, Indiana University Purdue University Indianapolis- DAVID J. ELLENBOGEN, Community College of Vermont EXCELLENCE THROUGH INNOVATION— BITTINGER S CONCEPTS & APPLICATIONS SERIES The Bittinger/Ellenbogen author team has one goal: to help you succeed in your mathematics course. The time-tested pedagogy, exceptional applications, and well-crafted exercises of the Concepts & Applications series set the standard for excellence through innovation, explaining both how mathematics works and why it matters. Designed with your learning experience in mind, here are some of the new and updated features in this text. Please see the Preface for more information on these important features and additional supplemental resources. New! Translating for Success and Visualizing for Success are matching exercises that help you learn to associate word problems (through translation) and graphs (through visualization) with their appropriate mathematical equations. Revised! Connecting the Concepts Revised and expanded to include new Mixed Review exercises, this midchapter review helps you understand the big picture and prepare for chapter and cumulative tests by relating the concept at hand to previously learned and upcoming concepts. Revised! Student Summary Found at the end of each chapter and now presented in a two-column format organized by section, this synopsis gives you a fast and effective review of key chapter terms and concepts paired with accompanying examples. ISBN-13: 978-0-321-55717-9 ISBN-10: 0-321-55717-4 Addison-Wesley is an imprint of [СНС Pearson is the proud sponsor of the International Conference on Technology in Collegiate Mathematics. Please visit www.ictcm.com 557 1 79 9 0 0 0 0
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spellingShingle	Bittinger, Marvin L. Ellenbogen, David Elementary algebra concepts and applications Algebra Textbooks Algebra (DE-588)4001156-2 gnd
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title	Elementary algebra concepts and applications
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