Beginning & Intermediate Algebra 6th Edition by Elayn Martin-Gay, ISBN-13: 978-0134193090
[PDF eBook eTextbook] – Available Instantly
- 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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