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Beginning and Intermediate Algebra



Hardcover w/CD
Pub. Date:
Prentice Hall

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This is the 4th edition with a publication date of 1/1/2009.
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Elayn Martin-Gay's success as a developmental math author starts with a strong focus on mastering the basics through well-written explanations, innovative pedagogy and a meaningful, integrated program of learning resources. The revisions to this edition provide new pedagogy and resources to build reader confidence and help readers develop basic skills and understand concepts. Martin-Gay's 4-step problem solving process-Understand, Translate, Solve and Interpret-is integrated throughout. Also includes new features such as Study Skills Reminders, "Integrated Reviews", and "Concept Checks." For readers interested in learning or revisiting essential skills in beginning and intermediate algebra through the use of lively and up-to-date applications.

Table of Contents

Prefacep. xiii
Index of Applicationsp. xxiv
Review of Real Numbersp. 2
Tips for Success in Mathematicsp. 4
Symbols and Sets of Numbersp. 8
Fractionsp. 17
Introduction to Variable Expressions and Equationsp. 25
Adding Real Numbersp. 34
Subtracting Real Numbersp. 41
Multiplying and Dividing Real Numbersp. 48
Properties of Real Numbersp. 56
Reading Graphsp. 61
Chapter 1 Project: Creating and Interpreting Graphsp. 68
Chapter 1 Vocabulary Checkp. 68
Chapter 1 Highlightsp. 69
Chapter 1 Reviewp. 73
Chapter 1 Testp. 76
Equations, Inequalities, and Problem Solvingp. 78
Simplifying Algebraic Expressionsp. 80
The Addition and Multiplication Properties of Equalityp. 86
Solving Linear Equationsp. 96
An Introduction to Problem Solvingp. 104
Formulas and Problem Solvingp. 113
Percent and Problem Solvingp. 121
Solving Linear Inequalitiesp. 130
Chapter 2 Project: Developing a Budgetp. 140
Chapter 2 Vocabulary Checkp. 141
Chapter 2 Highlightsp. 142
Chapter 2 Reviewp. 146
Chapter 2 Testp. 148
Chapter 2 Cumulative Reviewp. 149
Graphs and Functionsp. 150
The Rectangular Coordinate Systemp. 152
Graphing Equationsp. 163
Introduction to Functionsp. 173
Graphing Linear Functionsp. 188
The Slope of a Linep. 195
Equations of Linesp. 209
Graphing Linear Inequalitiesp. 220
Chapter 3 Project: Modeling Real Datap. 225
Chapter 3 Vocabulary Checkp. 226
Chapter 3 Highlightsp. 227
Chapter 3 Reviewp. 232
Chapter 3 Testp. 235
Chapter 3 Cumulative Reviewp. 236
Solving Systems of Linear Equationsp. 238
Solving Systems of Linear Equations by Graphingp. 240
Solving Systems of Linear Equations by Substitutionp. 247
Solving Systems of Linear Equations by Additionp. 253
Systems of Linear Equations and Problem Solvingp. 259
Chapter 4 Project: Analyzing the Courses of Shipsp. 269
Chapter 4 Vocabulary Checkp. 270
Chapter 4 Highlightsp. 271
Chapter 4 Reviewp. 274
Chapter 4 Testp. 275
Chapter 4 Cumulative Reviewp. 276
Exponents and Polynomialsp. 278
Exponentsp. 280
Negative Exponents and Scientific Notationp. 290
Polynomial Functions and Adding and Subtracting Polynomialsp. 298
Multiplying Polynomialsp. 309
Special Productsp. 313
Dividing Polynomialsp. 320
Synthetic Division and the Remainder Theoremp. 326
Chapter 5 Project: Modeling with Polynomialsp. 330
Chapter 5 Vocabulary Checkp. 331
Chapter 5 Highlightsp. 332
Chapter 5 Reviewp. 334
Chapter 5 Testp. 337
Chapter 5 Cumulative Reviewp. 338
Factoring Polynomialsp. 340
The Greatest Common Factor and Factoring by Groupingp. 342
Factoring Trinomials of the Form x[subscript 2] + bx + cp. 348
Factoring Trinomials of the Form ax[subscript 2] + bx + cp. 354
Factoring Binomialsp. 362
Choosing a Factoring Strategyp. 368
Solving Quadratic Equations by Factoringp. 373
Quadratic Equations and Problem Solvingp. 380
An Introduction to Graphing Polynomial Functionsp. 391
Chapter 6 Project: Choosing Among Building Optionsp. 400
Chapter 6 Vocabulary Checkp. 400
Chapter 6 Highlightsp. 401
Chapter 6 Reviewp. 405
Chapter 6 Testp. 406
Chapter 6 Cumulative Reviewp. 407
Rational Expressionsp. 408
Rational Functions and Simplifying Rational Expressionsp. 410
Multiplying and Dividing Rational Expressionsp. 418
Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominatorp. 425
Adding and Subtracting Rational Expressions with Unlike Denominatorsp. 432
Simplifying Complex Fractionsp. 438
Solving Equations Containing Rational Expressionsp. 445
Ratio and Proportionp. 453
Rational Equations and Problem Solvingp. 459
Chapter 7 Project: Comparing Dosage Formulasp. 467
Chapter 7 Vocabulary Checkp. 468
Chapter 7 Highlightsp. 469
Chapter 7 Reviewp. 472
Chapter 7 Testp. 475
Chapter 7 Cumulative Reviewp. 476
Transitions to Intermediate Algebrap. 478
Review Solving Equationsp. 480
Further Problem Solvingp. 484
Compound Inequalitiesp. 495
Absolute Value Equationsp. 502
Absolute Value Inequalitiesp. 507
Solving Systems of Linear Equations in Three Variablesp. 513
Solving Systems of Equations by Matricesp. 521
Solving Systems of Equations by Determinantsp. 527
Chapter 8 Project: Analyzing Municipal Budgetsp. 534
Chapter 8 Vocabulary Checkp. 536
Chapter 8 Highlightsp. 536
Chapter 8 Reviewp. 543
Chapter 8 Testp. 545
Chapter 8 Cumulative Reviewp. 546
Radicals, Rational Exponents, and Complex Numbersp. 548
Radicals and Radical Functionsp. 550
Rational Exponentsp. 557
Simplifying Radical Expressionsp. 564
Adding, Subtracting, and Multiplying Radical Expressionsp. 570
Rationalizing Denominators and Numerators of Radical Expressionsp. 574
Radical Equations and Problem Solvingp. 580
Complex Numbersp. 589
Chapter 9 Project: Calculating the Length and Period of a Pendulump. 596
Chapter 9 Vocabulary Checkp. 597
Chapter 9 Highlightsp. 598
Chapter 9 Reviewp. 601
Chapter 9 Testp. 603
Chapter 9 Cumulative Reviewp. 604
Quadratic Equations and Functionsp. 606
Solving Quadratic Equations by Completing the Squarep. 608
Solving Quadratic Equations by the Quadratic Formulap. 618
Solving Equations by Using Quadratic Methodsp. 627
Nonlinear Inequalities in One Variablep. 636
Variation and Problem Solvingp. 643
Quadratic Functions and Their Graphsp. 652
Further Graphing of Quadratic Functionsp. 659
Chapter 10 Project: Fitting a Quadratic Model to Datap. 667
Chapter 10 Vocabulary Checkp. 668
Chapter 10 Highlightsp. 668
Chapter 10 Reviewp. 671
Chapter 10 Testp. 673
Chapter 10 Cumulative Reviewp. 674
Exponential and Logarithmic Functionsp. 676
The Algebra of Functions; Composite Functionsp. 678
Inverse Functionsp. 683
Exponential Functionsp. 694
Logarithmic Functionsp. 702
Properties of Logarithmsp. 709
Common Logarithms, Natural Logarithms, and Change of Basep. 715
Exponential and Logarithmic Equations and Applicationsp. 721
Chapter 11 Project: Modeling Temperaturep. 727
Chapter 11 Vocabulary Checkp. 729
Chapter 11 Highlightsp. 729
Chapter 11 Reviewp. 732
Chapter 11 Testp. 735
Chapter 11 Cumulative Reviewp. 736
Sequences, Series, and the Binomial Theoremp. 738
Sequencesp. 740
Arithmetic and Geometric Sequencesp. 744
Seriesp. 751
Partial Sums of Arithmetic and Geometric Sequencesp. 756
The Binomial Theoremp. 763
Chapter 12 Project: Modeling College Tuitionp. 768
Chapter 12 Vocabulary Checkp. 769
Chapter 12 Highlightsp. 769
Chapter 12 Reviewp. 771
Chapter 12 Testp. 773
Chapter 12 Cumulative Reviewp. 774
Conic Sectionsp. 776
The Parabola and the Circlep. 778
The Ellipse and the Hyperbolap. 787
Solving Nonlinear Systems of Equationsp. 796
Nonlinear Inequalities and Systems of Inequalitiesp. 802
Chapter 13 Project: Modeling Conic Sectionsp. 806
Chapter 13 Vocabulary Checkp. 807
Chapter 13 Highlightsp. 808
Chapter 13 Reviewp. 810
Chapter 13 Testp. 812
Chapter 13 Cumulative Reviewp. 813
Appendicesp. 815
Operations on Decimalsp. 815
Review of Angles, Lines, and Special Trianglesp. 817
Review of Geometric Figuresp. 825
Review of Volume and Surface Areap. 829
Mean, Median, and Modep. 835
Introduction to Using a Graphing Utilityp. 839
Table of Squares and Square Rootsp. 845
Answers to Selected Exercisesp. 1
Indexp. 1
Photo Creditsp. 1
Table of Contents provided by Syndetics. All Rights Reserved.

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