Beginning and Intermediate Algebra

by Martin-Gay, Elayn

• ISBN13: 9780131444423
• ISBN10: 0131444425
• Edition: 3rd
• Format: Hardcover w/CD
• Copyright: 2009-01-01
• Publisher: Prentice Hall

Summary

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

Preface	p. xiii
Index of Applications	p. xxiv
Review of Real Numbers	p. 2
Tips for Success in Mathematics	p. 4
Symbols and Sets of Numbers	p. 8
Fractions	p. 17
Introduction to Variable Expressions and Equations	p. 25
Adding Real Numbers	p. 34
Subtracting Real Numbers	p. 41
Multiplying and Dividing Real Numbers	p. 48
Properties of Real Numbers	p. 56
Reading Graphs	p. 61
Chapter 1 Project: Creating and Interpreting Graphs	p. 68
Chapter 1 Vocabulary Check	p. 68
Chapter 1 Highlights	p. 69
Chapter 1 Review	p. 73
Chapter 1 Test	p. 76
Equations, Inequalities, and Problem Solving	p. 78
Simplifying Algebraic Expressions	p. 80
The Addition and Multiplication Properties of Equality	p. 86
Solving Linear Equations	p. 96
An Introduction to Problem Solving	p. 104
Formulas and Problem Solving	p. 113
Percent and Problem Solving	p. 121
Solving Linear Inequalities	p. 130
Chapter 2 Project: Developing a Budget	p. 140
Chapter 2 Vocabulary Check	p. 141
Chapter 2 Highlights	p. 142
Chapter 2 Review	p. 146
Chapter 2 Test	p. 148
Chapter 2 Cumulative Review	p. 149
Graphs and Functions	p. 150
The Rectangular Coordinate System	p. 152
Graphing Equations	p. 163
Introduction to Functions	p. 173
Graphing Linear Functions	p. 188
The Slope of a Line	p. 195
Equations of Lines	p. 209
Graphing Linear Inequalities	p. 220
Chapter 3 Project: Modeling Real Data	p. 225
Chapter 3 Vocabulary Check	p. 226
Chapter 3 Highlights	p. 227
Chapter 3 Review	p. 232
Chapter 3 Test	p. 235
Chapter 3 Cumulative Review	p. 236
Solving Systems of Linear Equations	p. 238
Solving Systems of Linear Equations by Graphing	p. 240
Solving Systems of Linear Equations by Substitution	p. 247
Solving Systems of Linear Equations by Addition	p. 253
Systems of Linear Equations and Problem Solving	p. 259
Chapter 4 Project: Analyzing the Courses of Ships	p. 269
Chapter 4 Vocabulary Check	p. 270
Chapter 4 Highlights	p. 271
Chapter 4 Review	p. 274
Chapter 4 Test	p. 275
Chapter 4 Cumulative Review	p. 276
Exponents and Polynomials	p. 278
Exponents	p. 280
Negative Exponents and Scientific Notation	p. 290
Polynomial Functions and Adding and Subtracting Polynomials	p. 298
Multiplying Polynomials	p. 309
Special Products	p. 313
Dividing Polynomials	p. 320
Synthetic Division and the Remainder Theorem	p. 326
Chapter 5 Project: Modeling with Polynomials	p. 330
Chapter 5 Vocabulary Check	p. 331
Chapter 5 Highlights	p. 332
Chapter 5 Review	p. 334
Chapter 5 Test	p. 337
Chapter 5 Cumulative Review	p. 338
Factoring Polynomials	p. 340
The Greatest Common Factor and Factoring by Grouping	p. 342
Factoring Trinomials of the Form x[subscript 2] + bx + c	p. 348
Factoring Trinomials of the Form ax[subscript 2] + bx + c	p. 354
Factoring Binomials	p. 362
Choosing a Factoring Strategy	p. 368
Solving Quadratic Equations by Factoring	p. 373
Quadratic Equations and Problem Solving	p. 380
An Introduction to Graphing Polynomial Functions	p. 391
Chapter 6 Project: Choosing Among Building Options	p. 400
Chapter 6 Vocabulary Check	p. 400
Chapter 6 Highlights	p. 401
Chapter 6 Review	p. 405
Chapter 6 Test	p. 406
Chapter 6 Cumulative Review	p. 407
Rational Expressions	p. 408
Rational Functions and Simplifying Rational Expressions	p. 410
Multiplying and Dividing Rational Expressions	p. 418
Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator	p. 425
Adding and Subtracting Rational Expressions with Unlike Denominators	p. 432
Simplifying Complex Fractions	p. 438
Solving Equations Containing Rational Expressions	p. 445
Ratio and Proportion	p. 453
Rational Equations and Problem Solving	p. 459
Chapter 7 Project: Comparing Dosage Formulas	p. 467
Chapter 7 Vocabulary Check	p. 468
Chapter 7 Highlights	p. 469
Chapter 7 Review	p. 472
Chapter 7 Test	p. 475
Chapter 7 Cumulative Review	p. 476
Transitions to Intermediate Algebra	p. 478
Review Solving Equations	p. 480
Further Problem Solving	p. 484
Compound Inequalities	p. 495
Absolute Value Equations	p. 502
Absolute Value Inequalities	p. 507
Solving Systems of Linear Equations in Three Variables	p. 513
Solving Systems of Equations by Matrices	p. 521
Solving Systems of Equations by Determinants	p. 527
Chapter 8 Project: Analyzing Municipal Budgets	p. 534
Chapter 8 Vocabulary Check	p. 536
Chapter 8 Highlights	p. 536
Chapter 8 Review	p. 543
Chapter 8 Test	p. 545
Chapter 8 Cumulative Review	p. 546
Radicals, Rational Exponents, and Complex Numbers	p. 548
Radicals and Radical Functions	p. 550
Rational Exponents	p. 557
Simplifying Radical Expressions	p. 564
Adding, Subtracting, and Multiplying Radical Expressions	p. 570
Rationalizing Denominators and Numerators of Radical Expressions	p. 574
Radical Equations and Problem Solving	p. 580
Complex Numbers	p. 589
Chapter 9 Project: Calculating the Length and Period of a Pendulum	p. 596
Chapter 9 Vocabulary Check	p. 597
Chapter 9 Highlights	p. 598
Chapter 9 Review	p. 601
Chapter 9 Test	p. 603
Chapter 9 Cumulative Review	p. 604
Quadratic Equations and Functions	p. 606
Solving Quadratic Equations by Completing the Square	p. 608
Solving Quadratic Equations by the Quadratic Formula	p. 618
Solving Equations by Using Quadratic Methods	p. 627
Nonlinear Inequalities in One Variable	p. 636
Variation and Problem Solving	p. 643
Quadratic Functions and Their Graphs	p. 652
Further Graphing of Quadratic Functions	p. 659
Chapter 10 Project: Fitting a Quadratic Model to Data	p. 667
Chapter 10 Vocabulary Check	p. 668
Chapter 10 Highlights	p. 668
Chapter 10 Review	p. 671
Chapter 10 Test	p. 673
Chapter 10 Cumulative Review	p. 674
Exponential and Logarithmic Functions	p. 676
The Algebra of Functions; Composite Functions	p. 678
Inverse Functions	p. 683
Exponential Functions	p. 694
Logarithmic Functions	p. 702
Properties of Logarithms	p. 709
Common Logarithms, Natural Logarithms, and Change of Base	p. 715
Exponential and Logarithmic Equations and Applications	p. 721
Chapter 11 Project: Modeling Temperature	p. 727
Chapter 11 Vocabulary Check	p. 729
Chapter 11 Highlights	p. 729
Chapter 11 Review	p. 732
Chapter 11 Test	p. 735
Chapter 11 Cumulative Review	p. 736
Sequences, Series, and the Binomial Theorem	p. 738
Sequences	p. 740
Arithmetic and Geometric Sequences	p. 744
Series	p. 751
Partial Sums of Arithmetic and Geometric Sequences	p. 756
The Binomial Theorem	p. 763
Chapter 12 Project: Modeling College Tuition	p. 768
Chapter 12 Vocabulary Check	p. 769
Chapter 12 Highlights	p. 769
Chapter 12 Review	p. 771
Chapter 12 Test	p. 773
Chapter 12 Cumulative Review	p. 774
Conic Sections	p. 776
The Parabola and the Circle	p. 778
The Ellipse and the Hyperbola	p. 787
Solving Nonlinear Systems of Equations	p. 796
Nonlinear Inequalities and Systems of Inequalities	p. 802
Chapter 13 Project: Modeling Conic Sections	p. 806
Chapter 13 Vocabulary Check	p. 807
Chapter 13 Highlights	p. 808
Chapter 13 Review	p. 810
Chapter 13 Test	p. 812
Chapter 13 Cumulative Review	p. 813
Appendices	p. 815
Operations on Decimals	p. 815
Review of Angles, Lines, and Special Triangles	p. 817
Review of Geometric Figures	p. 825
Review of Volume and Surface Area	p. 829
Mean, Median, and Mode	p. 835
Introduction to Using a Graphing Utility	p. 839
Table of Squares and Square Roots	p. 845
Answers to Selected Exercises	p. 1
Index	p. 1
Photo Credits	p. 1
Table of Contents provided by Syndetics. All Rights Reserved.