Beginning & Intermediate Algebra 6th Edition by Elayn Martin-Gay, ISBN-13: 978-0134193090

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Beginning & Intermediate Algebra 6th Edition by Elayn Martin-Gay, ISBN-13: 978-0134193090

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• Publisher: ‎ Pearson; 6th edition (February 15, 2016)
• Language: ‎ English
• 1040 pages
• ISBN-10: ‎ 0134193091
• ISBN-13: ‎ 978-0134193090

For courses in beginning and intermediate algebra.

Every student can succeed.

Elayn Martin-Gay’s developmental math textbooks and video resources are motivated by her firm belief that every student can succeed. Martin-Gay’s focus on the student shapes her clear, accessible writing, inspires her constant pedagogical innovations, and contributes to the popularity and effectiveness of her video resources. This revision of Martin-Gay’s algebra series continues her focus on students and what they need to be successful.

Table of Contents:

Preface xiii

Applications Index xxiii

C h a p t e r 1 RevIew of ReAl NumBeRs 1

1.1 Study Skill Tips for Success in Mathematics 2

1.2 Symbols and Sets of Numbers 8

1.3 Fractions and Mixed Numbers 17

1.4 Exponents, Order of Operations, Variable Expressions, and Equations 26

1.5 Adding Real Numbers 36

1.6 Subtracting Real Numbers 44

Integrated Review—operations on Real Numbers 51

1.7 Multiplying and Dividing Real Numbers 52

1.8 Properties of Real Numbers 62

Chapter 1 Vocabulary Check 69

Chapter 1 Highlights 69

Chapter 1 Review 73

Chapter 1 Getting Ready for the Test 76

Chapter 1 Test 76

C h a p t e r 2 equAtIoNs, INequAlItIes, ANd PRoBlem solvINg 78

2.1 Simplifying Algebraic Expressions 79

2.2 The Addition and Multiplication Properties of Equality 87

2.3 Solving Linear Equations 97

Integrated Review—solving linear equations 105

2.4 An Introduction to Problem Solving 106

2.5 Formulas and Problem Solving 117

2.6 Percent and Mixture Problem Solving 128

2.7 Further Problem Solving 140

2.8 Solving Linear Inequalities 147

Chapter 2 Vocabulary Check 159

Chapter 2 Highlights 159

Chapter 2 Review 164

Chapter 2 Getting Ready for the Test 167

Chapter 2 Test 168

Chapter 2 Cumulative Review 169

C h a p t e r 3 gRAPhINg 171

3.1 Reading Graphs and the Rectangular Coordinate System 172

3.2 Graphing Linear Equations 187

3.3 Intercepts 197

3.4 Slope and Rate of Change 205

Integrated Review—summary on slope and graphing linear equations 219

3.5 Equations of Lines 220

3.6 Functions 229

Chapter 3 Vocabulary Check 241

Chapter 3 Highlights 241

Chapter 3 Review 245

Chapter 3 Getting Ready for the Test 248

Chapter 3 Test 249

Chapter 3 Cumulative Review 251

C h a p t e r 4 solvINg systems of lINeAR equAtIoNs 252

4.1 Solving Systems of Linear Equations by Graphing 253

4.2 Solving Systems of Linear Equations by Substitution 261

4.3 Solving Systems of Linear Equations by Addition 268

Integrated Review—solving systems of equations 275

4.4 Solving Systems of Linear Equations in Three Variables 276

4.5 Systems of Linear Equations and Problem Solving 283

Chapter 4 Vocabulary Check 301

Chapter 4 Highlights 301

Chapter 4 Review 304

Chapter 4 Getting Ready for the Test 306

Chapter 4 Test 307

Chapter 4 Cumulative Review 308

C h a p t e r 5 exPoNeNts ANd PolyNomIAls 310

5.1 Exponents 311

5.2 Polynomial Functions and Adding and Subtracting Polynomials 322

5.3 Multiplying Polynomials 334

5.4 Special Products 341

Integrated Review—exponents and operations on Polynomials 348

5.5 Negative Exponents and Scientific Notation 348

5.6 Dividing Polynomials 357

5.7 Synthetic Division and the Remainder Theorem 364

Chapter 5 Vocabulary Check 368

Chapter 5 Highlights 369

Chapter 5 Review 371

Chapter 5 Getting Ready for the Test 374

Chapter 5 Test 375

Chapter 5 Cumulative Review 376

C h a p t e r 6 fACtoRINg PolyNomIAls 378

6.1 The Greatest Common Factor and Factoring by Grouping 379

6.2 Factoring Trinomials of the Form x2 + bx + c 387

6.3 Factoring Trinomials of the Form ax2 + bx + c and Perfect Square Trinomials 394

6.4 Factoring Trinomials of the Form ax2 + bx + c by Grouping 402

6.5 Factoring Binomials 407

Integrated Review—Choosing a factoring strategy 414

6.6 Solving Quadratic Equations by Factoring 417

6.7 Quadratic Equations and Problem Solving 426

Chapter 6 Vocabulary Check 435

Chapter 6 Highlights 436

Chapter 6 Review 439

Chapter 6 Getting Ready for the Test 441

Chapter 6 Test 442

Chapter 6 Cumulative Review 442

C h a p t e r 7 RAtIoNAl exPRessIoNs 444

7.1 Rational Functions and Simplifying Rational Expressions 445

7.2 Multiplying and Dividing Rational Expressions 455

7.3 Adding and Subtracting Rational Expressions with Common Denominators

and Least Common Denominator 464

7.4 Adding and Subtracting Rational Expressions with Unlike Denominators 472

7.5 Solving Equations Containing Rational Expressions 478

Integrated Review—summary on Rational expressions 485

7.6 Proportion and Problem Solving with Rational Equations 486

7.7 Simplifying Complex Fractions 499

Chapter 7 Vocabulary Check 506

C h a p t e r 8 moRe oN fuNCtIoNs ANd gRAPhs 516

8.1 Graphing and Writing Linear Functions 517

8.2 Reviewing Function Notation and Graphing Nonlinear Functions 525

Integrated Review—summary on functions and equations of lines 533

8.3 Graphing Piecewise-Defined Functions and Shifting and Reflecting

Graphs of Functions 534

8.4 Variation and Problem Solving 542

Chapter 8 Vocabulary Check 551

Chapter 8 Highlights 552

Chapter 8 Review 554

Chapter 8 Getting Ready for the Test 555

Chapter 8 Test 556

Chapter 8 Cumulative Review 558

C h a p t e r 9 INequAlItIes ANd ABsolute vAlue 559

9.1 Compound Inequalities 560

9.2 Absolute Value Equations 567

9.3 Absolute Value Inequalities 572

Integrated Review—solving Compound Inequalities and Absolute value

equations and Inequalities 578

9.4 Graphing Linear Inequalities in Two Variables and Systems

of Linear Inequalities 578

Chapter 9 Vocabulary Check 587

Chapter 9 Highlights 588

Chapter 9 Review 590

Chapter 9 Getting Ready for the Test 591

Chapter 9 Test 592

Chapter 9 Cumulative Review 592

Chapter 7 Vocabulary Check 506

Chapter 7 Highlights 506

Chapter 7 Review 510

Chapter 7 Getting Ready for the Test 512

Chapter 7 Test 513

Chapter 7 Cumulative Review 514

C h a p t e r 10 RAtIoNAl exPoNeNts, RAdICAls, ANd ComPlex NumBeRs 595

10.1 Radicals and Radical Functions 596

10.2 Rational Exponents 605

10.3 Simplifying Radical Expressions 612

10.4 Adding, Subtracting, and Multiplying Radical Expressions 620

10.5 Rationalizing Denominators and Numerators of Radical Expressions 626

Integrated Review—Radicals and Rational exponents 632

10.6 Radical Equations and Problem Solving 633

10.7 Complex Numbers 643

Chapter 10 Vocabulary Check 650

Chapter 10 Highlights 650

Chapter 10 Review 654

Chapter 10 Getting Ready for the Test 656

Chapter 10 Test 657

Chapter 10 Cumulative Review 658

11 quAdRAtIC equAtIoNs ANd fuNCtIoNs 660

11.1 Solving Quadratic Equations by Completing the Square 661

11.2 Solving Quadratic Equations by the Quadratic Formula 671

11.3 Solving Equations by Using Quadratic Methods 681

Integrated Review—summary on solving quadratic equations 690

11.4 Nonlinear Inequalities in One Variable 691

11.5 Quadratic Functions and Their Graphs 698

11.6 Further Graphing of Quadratic Functions 706

Chapter 11 Vocabulary Check 714

Chapter 11 Highlights 714

Chapter 11 Review 717

Chapter 11 Getting Ready for the Test 718

Chapter 11 Test 719

Chapter 11 Cumulative Review 720

x Contents

C h a p t e r 12 exponential and logarithmic functions 722

12.1 The Algebra of Functions; Composite Functions 723

12.2 Inverse Functions 728

12.3 Exponential Functions 739

12.4 Exponential Growth and Decay Functions 748

12.5 Logarithmic Functions 752

12.6 Properties of Logarithms 760

Integrated Review—functions and Properties of logarithms 766

12.7 Common Logarithms, Natural Logarithms, and Change of Base 767

12.8 Exponential and Logarithmic Equations and Problem Solving 773

Chapter 12 Vocabulary Check 779

Chapter 12 Highlights 780

Chapter 12 Review 783

Chapter 12 Getting Ready for the Test 785

Chapter 12 Test 786

Chapter 12 Cumulative Review 787

C h a p t e r 13 Conic sections 790

13.1 The Parabola and the Circle 791

13.2 The Ellipse and the Hyperbola 800

Integrated Review—graphing Conic sections 807

13.3 Solving Nonlinear Systems of Equations 808

13.4 Nonlinear Inequalities and Systems of Inequalities 813

Chapter 13 Vocabulary Check 817

Chapter 13 Highlights 817

Chapter 13 Review 820

Chapter 13 Getting Ready for the Test 821

Chapter 13 Test 821

Chapter 13 Cumulative Review 822

14 sequences, series, and the Binomial theorem 824

14.1 Sequences 825

14.2 Arithmetic and Geometric Sequences 829

14.3 Series 837

Integrated Review—sequences and series 842

14.4 Partial Sums of Arithmetic and Geometric Sequences 842

14.5 The Binomial Theorem 849

Chapter 14 Vocabulary Check 854

Chapter 14 Highlights 854

Chapter 14 Review 856

Chapter 14 Getting Ready for the Test 858

Chapter 14 Test 858

Chapter 14 Cumulative Review 859

appendiCes

A OperatiOns On DeCimals/table Of perCent,

DeCimal, anD fraCtiOn equivalents 861

B review Of algebra tOpiCs 864

C an intrODuCtiOn tO using a graphing utility 889

d sOlving systems Of equatiOns by matriCes 894

e sOlving systems Of equatiOns using Determinants 899

f mean, meDian, anD mODe 906

g review Of angles, lines, anD speCial triangles 908

COntents Of stuDent resOurCes 915

stuDent resOurCes 916

stuDy skills builDers 916

bigger piCture—stuDy guiDe Outline 925

praCtiCe final exam 930

Answers to Selected Exercises A1

Index I1

Photo Credits P1

Elayn Martin-Gay has taught mathematics at the University of New Orleans for more than 25 years. Her numerous teaching awards include the local University Alumni Association’s Award for Excellence in Teaching, and Outstanding Developmental Educator at University of New Orleans, presented by the Louisiana Association of Developmental Educators.

Prior to writing textbooks, Elayn Martin-Gay developed an acclaimed series of lecture videos to support developmental mathematics students. These highly successful videos originally served as the foundation materials for her texts. Today, the videos are specific to each book in her series. She has also created Chapter Test Prep Videos to help students during their most “teachable moment”–as they prepare for a test–along with Instructor-to-Instructor videos that provide teaching tips, hints, and suggestions for every developmental mathematics course, including basic mathematics, prealgebra, beginning algebra, and intermediate algebra.

Elayn is the author of 12 published textbooks and numerous multimedia interactive products, all specializing in developmental mathematics courses. She has also published series in Algebra 1, Algebra 2, and Geometry. She has participated as an author across a broad range of educational materials: textbooks, videos, tutorial software, and courseware. This offers an opportunity for multiple combinations for an integrated teaching and learning package, offering great consistency for the student.

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