Elementary Algebra

, by Bittinger, Marvin L.; Keedy, Mervin L.; Ellenbogen, David J.

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ISBN: 9780201537826 | 0201537826
Cover: Hardcover
Copyright: 1/1/1994

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Summary

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Significant revision of the third edition with respect to design, contents, pedagogy, and an expanded supplements package. DLC: Algebra.

Preface	p. xi
Introduction to Algebraic Expressions
Introduction to Algebra	p. 2
The Commutative, Associative, and Distributive Laws	p. 11
Fraction Notation	p. 18
Positive and Negative Real Numbers	p. 26
Addition of Real Numbers	p. 34
Subtraction of Real Numbers	p. 41
Multiplication and Division of Real Numbers	p. 48
Exponential Notation and Order of Operations	p. 55
Connecting the Concepts	p. 61
Summary and Review	p. 64
Test	p. 66
Equations, Inequalities, and Problem Solving
Solving Equations	p. 70
Using the Principles Together	p. 77
Connecting the Concepts	p. 77
Formulas	p. 85
Applications with Percent	p. 91
Problem Solving	p. 98
Solving Inequalities	p. 109
Solving Applications with Inequalities	p. 117
Summary and Review	p. 125
Test	p. 127
Introduction to Graphing
Reading Graphs, Plotting Points, and Estimating Values	p. 130
Graphing Linear Equations	p. 142
Graphing and Intercepts	p. 152
Rates	p. 161
Slope	p. 170
Connecting the Concepts	p. 177
Slope-Intercept Form	p. 183
Point-Slope Form	p. 191
Summary and Review	p. 196
Test	p. 198
Cumulative Review: Chapters 1-3	p. 199
Polynomials
Exponents and Their Properties	p. 202
Polynomials	p. 210
Addition and Subtraction of Polynomials	p. 218
Connecting the Concepts	p. 220
Multiplication of Polynomials	p. 227
Special Products	p. 235
Polynomials in Several Variables	p. 244
Division of Polynomials	p. 253
Negative Exponents and Scientific Notation	p. 258
Summary and Review	p. 268
Test	p. 271
Polynomials and Factoring
Introduction to Factoring	p. 274
Factoring Trinomials of the Type x[superscript 2] + bx + c	p. 281
Factoring Trinomials of the Type ax[superscript 2] + bx + c	p. 289
Factoring Perfect-Square Trinomials and Differences of Squares	p. 298
Factoring: A General Strategy	p. 305
Connecting the Concepts	p. 305
Solving Quadratic Equations by Factoring	p. 311
Connecting the Concepts	p. 311
Solving Applications	p. 319
Summary and Review	p. 328
Test	p. 330
Rational Expressions and Equations
Rational Expressions	p. 332
Multiplication and Division	p. 339
Addition, Subtraction, and Least Common Denominators	p. 346
Addition and Subtraction with Unlike Denominators	p. 355
Complex Rational Expressions	p. 363
Solving Rational Equations	p. 369
Connecting the Concepts	p. 369
Applications Using Rational Equations and Proportions	p. 375
Summary and Review	p. 387
Test	p. 390
Cumulative Review: Chapters 1-6	p. 391
Systems and More Graphing
Systems of Equations and Graphing	p. 394
Systems of Equations and Substitution	p. 400
Systems of Equations and Elimination	p. 407
More Applications Using Systems	p. 415
Connecting the Concepts	p. 415
Linear Inequalities in Two Variables	p. 425
Systems of Linear Inequalities	p. 431
Direct and Inverse Variation	p. 434
Summary and Review	p. 440
Test	p. 443
Radical Expressions and Equations
Introduction to Square Roots and Radical Expressions	p. 446
Multiplying and Simplifying Radical Expressions	p. 453
Quotients Involving Square Roots	p. 458
More Operations with Radicals	p. 463
Radical Equations	p. 467
Connecting the Concepts	p. 467
Applications Using Right Triangles	p. 475
Higher Roots and Rational Exponents	p. 482
Summary and Review	p. 487
Test	p. 489
Quadratic Equations
Solving Quadratic Equations: The Principle of Square Roots	p. 492
Solving Quadratic Equations: Completing the Square	p. 497
The Quadratic Formula and Applications	p. 503
Connecting the Concepts	p. 506
Formulas and Equations	p. 512
Connecting the Concepts	p. 513
Complex Numbers as Solutions of Quadratic Equations	p. 519
Graphs of Quadratic Equations	p. 522
Functions	p. 528
Summary and Review	p. 538
Test	p. 540
Cumulative Review: Chapters 1-9	p. 541
Sets	p. 545
Factoring Sums or Differences of Cubes	p. 549
Fractional and Decimal Equivalents	p. 553
Squares and Square Roots	p. 554
Geometric Formulas	p. 555
Answers	p. 1
Glossary	p. 1
Index	p. 1
Index of Applications
Videotape Index
Table of Contents provided by Syndetics. All Rights Reserved.

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Elementary Algebra

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Elementary Algebra

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