Intermediate Algebra: Graphs and Models

, by Marvin L. Bittinger; David J. Ellenbogen; Barbara L. Johnson

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ISBN: 9780201537864 | 0201537869
Cover: Nonspecific Binding
Copyright: 11/21/2011

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Designed to prepare students for any mathematics course at the college algebra level. Many key topics have been rewritten in response to user and reviewer feedback and have made significant improvements in design and pedagogy. DLC: Algebra.

Preface	p. xi
Algebra and Problem Solving
Some Basics of Algebra	p. 2
Operations and Properties of Real Numbers	p. 11
Solving Equations	p. 22
Connecting the Concepts	p. 25
Introduction to Problem Solving	p. 29
Formulas, Models, and Geometry	p. 39
Properties of Exponents	p. 46
Scientific Notation	p. 56
Summary and Review	p. 64
Test	p. 68
Graphs, Functions, and Linear Equations
Graphs	p. 70
Functions	p. 78
Linear Functions: Slope, Graphs, and Models	p. 93
Another Look at Linear Graphs	p. 106
Other Equations of Lines	p. 117
Connecting the Concepts	p. 122
The Algebra of Functions	p. 126
Summary and Review	p. 135
Test	p. 138
Systems of Linear Equations and Problem Solving
Systems of Equations in Two Variables	p. 142
Solving by Substitution or Elimination	p. 151
Connecting the Concepts	p. 156
Solving Applications: Systems of Two Equations	p. 159
Systems of Equations in Three Variables	p. 172
Connecting the Concepts	p. 172
Solving Applications: Systems of Three Equations	p. 181
Elimination Using Matrices	p. 186
Determinants and Cramer's Rule	p. 191
Business and Economic Applications	p. 197
Summary and Review	p. 203
Test	p. 206
Cumulative Review: Chapters 1-3	p. 207
Inequalities and Problem Solving
Inequalities and Applications	p. 212
Intersections, Unions, and Compound Inequalities	p. 224
Absolute-Value Equations and Inequalities	p. 233
Inequalities in Two Variables	p. 242
Connecting the Concepts	p. 249
Applications Using Linear Programming	p. 252
Summary and Review	p. 260
Test	p. 263
Polynomials and Polynomial Functions
Introduction to Polynomials and Polynomial Functions	p. 266
Connecting the Concepts	p. 266
Multiplication of Polynomials	p. 277
Common Factors and Factoring by Grouping	p. 287
Connecting the Concepts	p. 287
Factoring Trinomials	p. 293
Factoring Perfect-Square Trinomials and Differences of Squares	p. 303
Factoring Sums or Differences of Cubes	p. 309
Factoring: A General Strategy	p. 313
Applications of Polynomial Equations	p. 317
Summary and Review	p. 329
Test	p. 332
Rational Expressions, Equations, and Functions
Rational Expressions and Functions: Multiplying and Dividing	p. 334
Rational Expressions and Functions: Adding and Subtracting	p. 343
Complex Rational Expressions	p. 352
Rational Equations	p. 361
Connecting the Concepts	p. 361
Solving Applications Using Rational Equations	p. 368
Division of Polynomials	p. 378
Synthetic Division	p. 383
Formulas, Applications, and Variation	p. 388
Summary and Review	p. 401
Test	p. 404
Cumulative Review: Chapters 1-6	p. 405
Exponents and Radicals
Radical Expressions and Functions	p. 408
Rational Numbers as Exponents	p. 416
Multiplying Radical Expressions	p. 423
Dividing Radical Expressions	p. 429
Expressions Containing Several Radical Terms	p. 435
Solving Radical Equations	p. 443
Connecting the Concepts	p. 443
Geometric Applications	p. 450
The Complex Numbers	p. 458
Summary and Review	p. 466
Test	p. 469
Quadratic Functions and Equations
Quadratic Equations	p. 472
The Quadratic Formula	p. 483
Applications Involving Quadratic Equations	p. 490
Studying Solutions of Quadratic Equations	p. 498
Equations Reducible to Quadratic	p. 502
Quadratic Functions and Their Graphs	p. 508
Connecting the Concepts	p. 514
More About Graphing Quadratic Functions	p. 517
Problem Solving and Quadratic Functions	p. 523
Polynomial and Rational Inequalities	p. 532
Summary and Review	p. 540
Test	p. 544
Exponential and Logarithmic Functions
Composite and Inverse Functions	p. 548
Exponential Functions	p. 560
Connecting the Concepts	p. 560
Logarithmic Functions	p. 569
Properties of Logarithmic Functions	p. 576
Common and Natural Logarithms	p. 583
Solving Exponential and Logarithmic Equations	p. 590
Applications of Exponential and Logarithmic Functions	p. 596
Summary and Review	p. 610
Test	p. 613
Cumulative Review: Chapters 1-9	p. 615
Conic Sections
Conic Sections: Parabolas and Circles	p. 620
Conic Sections: Ellipses	p. 631
Conic Sections: Hyperbolas	p. 639
Connecting the Concepts	p. 643
Nonlinear Systems of Equations	p. 649
Summary and Review	p. 658
Test	p. 660
Sequences, Series, and the Binomial Theorem
Sequences and Series	p. 662
Arithmetic Sequences and Series	p. 668
Geometric Sequences and Series	p. 677
The Binomial Theorem	p. 688
Connecting the Concepts	p. 688
Summary and Review	p. 696
Test	p. 698
Cumulative Review: Chapters 1-11	p. 699
The Graphing Calculator	p. 703
Answers	p. 1
Index	p. 1
Index of Applications
Videotape and CD Index
Table of Contents provided by Syndetics. All Rights Reserved.

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Intermediate Algebra: Graphs and Models

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