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Beginning & Intermediate Algebra, Fourth Edition
by
Elayn Martin-Gay
Publisher: Prentice Hall
Publishing Date: 2008/02/25
eText ISBN-10
0-13-502460-9
eText ISBN-13
978-0-13-502460-7
Print ISBN-10
0-13-600731-7
Print ISBN-13
978-0-13-600731-9
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Beginning & Intermediate Algebra, Fourth Edition
by
Elayn Martin-Gay
eTextbook $77.00
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Copyright, iv
Tools to Help Students Su...
Preface, xvii
Application Index, xxvii
Chapter 1. Review of Real...
Chapter 2. Equations, Ine...
Chapter 3. Graphs and Int...
Chapter 4. Solving System...
Chapter 5. Exponents and ...
Chapter 6. Factoring Poly...
Chapter 7. Rational Expre...
Chapter 8. More on Functi...
Chapter 9. Inequalities a...
Chapter 10. Rational Expo...
Chapter 11. Quadratic Equ...
Chapter 12. Exponential a...
Chapter 13. Conic Section...
Chapter 14. Sequences, Se...
Appendix A. The Bigger Pi...
Appendix B. Operations on...
Appendix C. Review of Alg...
Appendix D. An Introducti...
Appendix E. Solving Syste...
Appendix F. Solving Syste...
Appendix G. Mean, Median,...
Appendix H. Review of Ang...
Answers to Selected Exerc...
Index, I1
Photo Credits, P1
Graphing Answer Section, ...
Table of Contents
Copyright, iv
Tools to Help Students Succeed, xiii
Preface, xvii
Application Index, xxvii
Chapter 1. Review of Real Numbers, 1
1.1. Tips for Success in Mathematics, 2
1.2. Symbols and Sets of Numbers, 7
1.3. Fractions, 16
1.4. Introduction to Variable Expressions and Equations, 24
1.5. Adding Real Numbers, 34
1.6. Subtracting Real Numbers, 41
Integrated Review—Operations on Real Numbers, 48
1.7. Multiplying and Dividing Real Numbers, 49
1.8. Properties of Real Numbers, 58
Chapter 1 Group Activity, 64
Chapter 1 Vocabulary Check, 65
Chapter 1 Highlights, 65
Chapter 1 Review, 69
Chapter 1 Test, 72
Chapter 2. Equations, Inequalities, and Problem Solving, 73
2.1. Simplifying Algebraic Expressions, 74
2.2. The Addition and Multiplication Properties of Equality, 82
2.3. Solving Linear Equations, 93
Integrated Review—Solving Linear Equations, 101
2.4. An Introduction to Problem Solving, 101
2.5. Formulas and Problem Solving, 111
2.6. Percent and Mixture Problem Solving, 123
2.7. Further Problem Solving, 134
2.8. Solving Linear Inequalities, 141
Chapter 2 Group Activity, 153
Chapter 2 Vocabulary Check, 154
Chapter 2 Highlights, 154
Chapter 2 Review, 159
Chapter 2 Test, 162
Chapter 2 Cumulative Review, 163
Chapter 3. Graphs and Introduction to Functions, 165
3.1. Reading Graphs and the Rectangular Coordinate System, 166
3.2. Graphing Linear Equations, 181
3.3. Intercepts, 190
3.4. Slope and Rate of Change, 199
Integrated Review—Summary on Slope & Graphing Linear Equations, 213
3.5. Equations of Lines, 214
3.6. Functions, 223
Chapter 3 Group Activity, 233
Chapter 3 Vocabulary Check, 234
Chapter 3 Highlights, 234
Chapter 3 Review, 238
Chapter 3 Test, 242
Chapter 3 Cumulative Review, 243
Chapter 4. Solving Systems of Linear Equations, 245
4.1. Solving Systems of Linear Equations by Graphing, 246
4.2. Solving Systems of Linear Equations by Substitution, 254
4.3. Solving Systems of Linear Equations by Addition, 261
Integrated Review—Solving Systems of Equations, 267
4.4. Solving Systems of Linear Equations in Three Variables, 268
4.5. Systems of Linear Equations and Problem Solving, 275
Chapter 4 Group Activity, 291
Chapter 4 Vocabulary Check, 291
Chapter 4 Highlights, 292
Chapter 4 Review, 295
Chapter 4 Test, 297
Chapter 4 Cumulative Review, 298
Chapter 5. Exponents and Polynomials, 300
5.1. Exponents, 301
5.2. Polynomial Functions and Adding and Subtracting Polynomials, 312
5.3. Multiplying Polynomials, 324
5.4. Special Products, 330
Integrated Review—Exponents and Operations on Polynomials, 336
5.5. Negative Exponents and Scientific Notation, 337
5.6. Dividing Polynomials, 345
5.7. Synthetic Division and the Remainder Theorem, 353
Chapter 5 Group Activity, 357
Chapter 5 Vocabulary Check, 357
Chapter 5 Highlights, 358
Chapter 5 Review, 361
Chapter 5 Test, 363
Chapter 5 Cumulative Review, 364
Chapter 6. Factoring Polynomials, 366
6.1. The Greatest Common Factor and Factoring by Grouping, 367
6.2. Factoring Trinomials of the Form
x
^2 +
bx
+
c
, 375
6.3. Factoring Trinomials of the Form
ax
^2 +
bx
+
c
and Perfect Square Trinomials, 381
6.4. Factoring Trinomials of the Form
ax
^2 +
bx
+
c
by Grouping, 390
6.5. Factoring Binomials, 395
Integrated Review—Choosing a Factoring Strategy, 402
6.6. Solving Quadratic Equations by Factoring, 406
6.7. Quadratic Equations and Problem Solving, 415
Chapter 6 Group Activity, 423
Chapter 6 Vocabulary Check, 424
Chapter 6 Highlights, 424
Chapter 6 Review, 428
Chapter 6 Test, 430
Chapter 6 Cumulative Review, 431
Chapter 7. Rational Expressions, 432
7.1. Rational Functions and Simplifying Rational Expressions, 433
7.2. Multiplying and Dividing Rational Expressions, 443
7.3. Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator, 450
7.4. Adding and Subtracting Rational Expressions with Unlike Denominators, 458
7.5. Solving Equations Containing Rational Expressions, 465
Integrated Review—Summary on Rational Expressions, 471
7.6. Proportion and Problem Solving with Rational Equations, 472
7.7. Simplifying Complex Fractions, 484
Chapter 7 Group Activity, 491
Chapter 7 Vocabulary Check, 492
Chapter 7 Highlights, 493
Chapter 7 Review, 497
Chapter 7 Test, 499
Chapter 7 Cumulative Review, 499
Chapter 8. More on Functions and Graphs, 501
8.1. Graphing and Writing Linear Functions, 502
8.2. Reviewing Function Notation and Graphing Nonlinear Functions, 510
Integrated Review—Summary on Functions and Equations of Lines, 518
8.3. Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions, 519
8.4. Variation and Problem Solving, 526
Chapter 8 Group Activity, 534
Chapter 8 Vocabulary Check, 534
Chapter 8 Highlights, 535
Chapter 8 Review, 537
Chapter 8 Test, 538
Chapter 8 Cumulative Review, 540
Chapter 9. Inequalities and Absolute Value, 541
9.1. Compound Inequalities, 542
9.2. Absolute Value Equations, 549
9.3. Absolute Value Inequalities, 554
Integrated Review—Solving Compound Inequalities and Absolute Value Equations and Inequalities, 560
9.4. Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities, 561
Chapter 9 Group Activity, 569
Chapter 9 Vocabulary Check, 570
Chapter 9 Highlights, 571
Chapter 9 Review, 573
Chapter 9 Test, 574
Chapter 9 Cumulative Review, 575
Chapter 10. Rational Exponents, Radicals, and Complex Numbers, 577
10.1. Radicals and Radical Functions, 578
10.2. Rational Exponents, 586
10.3. Simplifying Radical Expressions, 593
10.4. Adding, Subtracting, and Multiplying Radical Expressions, 602
10.5. Rationalizing Denominators and Numerators of Radical Expressions, 608
Integrated Review—Radicals and Rational Exponents, 615
10.6. Radical Equations and Problem Solving, 616
10.7. Complex Numbers, 626
Chapter 10 Group Activity, 633
Chapter 10 Vocabulary Check, 634
Chapter 10 Highlights, 635
Chapter 10 Review, 638
Chapter 10 Test, 641
Chapter 10 Cumulative Review, 642
Chapter 11. Quadratic Equations and Functions, 644
11.1. Solving Quadratic Equations by Completing the Square, 645
11.2. Solving Quadratic Equations by the Quadratic Formula, 654
11.3. Solving Equations by Using Quadratic Methods, 665
Integrated Review—Summary on Solving Quadratic Equations, 673
11.4. Nonlinear Inequalities in One Variable, 674
11.5. Quadratic Functions and Their Graphs, 681
11.6. Further Graphing of Quadratic Functions, 689
Chapter 11 Group Activity, 696
Chapter 11 Vocabulary Check, 697
Chapter 11 Highlights, 698
Chapter 11 Review, 701
Chapter 11 Test, 702
Chapter 11 Cumulative Review, 703
Chapter 12. Exponential and Logarithmic Functions, 705
12.1. The Algebra of Functions; Composite Functions, 706
12.2. Inverse Functions, 712
12.3. Exponential Functions, 722
12.4. Logarithmic Functions, 730
12.5. Properties of Logarithms, 738
Integrated Review—Functions and Properties of Logarithms, 743
12.6. Common Logarithms, Natural Logarithms, and Change of Base, 744
12.7. Exponential and Logarithmic Equations and Applications, 750
Chapter 12 Group Activity, 756
Chapter 12 Vocabulary Check, 757
Chapter 12 Highlights, 758
Chapter 12 Review, 761
Chapter 12 Test, 764
Chapter 12 Cumulative Review, 765
Chapter 13. Conic Sections, 767
13.1. The Parabola and the Circle, 768
13.2. The Ellipse and the Hyperbola, 777
Integrated Review—Graphing Conic Sections, 784
13.3. Solving Nonlinear Systems of Equations, 785
13.4. Nonlinear Inequalities and Systems of Inequalities, 790
Chapter 13 Group Activity, 793
Chapter 13 Vocabulary Check, 794
Chapter 13 Highlights, 795
Chapter 13 Review, 797
Chapter 13 Test, 798
Chapter 13 Cumulative Review, 799
Chapter 14. Sequences, Series, and the Binomial Theorem, 801
14.1. Sequences, 802
14.2. Arithmetic and Geometric Sequences, 806
14.3. Series, 813
Integrated Review—Sequences and Series, 817
14.4. Partial Sums of Arithmetic and Geometric Sequences, 818
14.5. The Binomial Theorem, 825
Chapter 14 Group Activity, 829
Chapter 14 Vocabulary Check, 830
Chapter 14 Highlights, 830
Chapter 14 Review, 832
Chapter 14 Test, 834
Chapter 14 Cumulative Review, 835
Appendix A. The Bigger Picture/Practice Final Exam, 837
Appendix B. Operations on Decimals/Percent, Decimal, and Fraction Table, 844
Appendix C. Review of Algebra Topics, 847
C.1: Equations (Linear and Quadratic Solved by Factoring), 847
C.2: Problem Solving, 851
C.3: Graphing, 860
C.4: Polynomials and Factoring, 864
C.5: Rational Expressions, 868
Appendix D. An Introduction to Using a Graphing Utility, 872
Appendix E. Solving Systems of Equations by Matrices, 877
Appendix F. Solving Systems of Equations by Determinants, 882
Appendix G. Mean, Median, and Mode, 890
Appendix H. Review of Angles, Lines, and Special Triangles, 892
Answers to Selected Exercises, A1
Index, I1
Photo Credits, P1
Graphing Answer Section, G1
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