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9780136134169

Elementary Algebra Early Graphing for College Students

by ; ;
  • ISBN13:

    9780136134169

  • ISBN10:

    0136134165

  • Edition: 3rd
  • Format: Hardcover
  • Copyright: 2007-01-31
  • Publisher: Pearson
  • View Upgraded Edition

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Summary

TheAngel Seriescontinues to offer proven pedagogy, sound exercise sets and superior user support. An emphasis on the practical applications of algebra motivates readers and encourages them to see algebra as an important part of their daily lives. The user friendly writing style uses short, clear sentences and easy to understand language, and the outstanding pedagogical program makes the material easy to follow and comprehend. The new editions continue to place a strong emphasis on problem solving.Real Numbers; Solving Linear Equations and Inequities; Formulas and Applications of Algebra; Graphing Linear Equations; Systems of Linear Equations; Exponents and Polynominals; Factoring; Rational Expressions and Equations; Roots and Radicals; and Quadtratic Equations.For any professional needing to apply algebra to their work.

Author Biography

Allen R. Angel received his AAS in Electrical Technology from New York City Community College. He then received his BS in Physics and his MS in Mathematics from SUNY at New Paltz, and he took additional graduate work at Rutgers University. He is Professor Emeritus at Monroe Community College in Rochester, New York where he served for many years as the chair of the Mathematics Department. He also served as the Assistant Director of the National Science Foundation Summer Institutes at Rutgers University from 1967—73. He served as the President of the New York State Mathematics Association of Two Year Colleges (NYSMATYC) and the Northeast Vice President of the American Mathematics Association of Two Year Colleges (AMATYC). He is the recipient of many awards including a number of NISOD Excellence in Teaching Awards, NYSMATYC's Outstanding Contributions to Mathematics Education Award, and AMATYC's President Award. Allen enjoy tennis, worldwide travel, and visiting with his children and granddaughter.

Table of Contents

Prefacep. xi
To the Studentp. xvii
Real Numbersp. 1
Study Skills for Success in Mathematicsp. 2
Problem Solvingp. 7
Fractionsp. 20
The Real Number Systemp. 30
Inequalitiesp. 35
Mid-Chapter Test: Sections 1.1-1.5p. 40
Addition of Real Numbersp. 41
Subtraction of Real Numbersp. 50
Multiplication and Division of Real Numbersp. 60
Exponents, Parentheses, and the Order of Operationsp. 68
Properties of the Real Number Systemp. 80
Summaryp. 86
Review Exercisesp. 91
Practice Testp. 94
Solving Linear Equations and Inequalitiesp. 95
Combining Like Termsp. 96
The Addition Property of Equalityp. 105
The Multiplication Property of Equalityp. 112
Solving Linear Equations with a Variable on Only One Side of the Equationp. 119
Mid-Chapter Test: Sections 2.1-2.4p. 129
Solving Linear Equations with the Variable on Both Sides of the Equationp. 129
Formulasp. 140
Ratios and Proportionsp. 152
Inequalities in One Variablep. 164
Summaryp. 171
Review Exercisesp. 175
Practice Testp. 178
Cumulative Review Testp. 178
Applications of Algebrap. 179
Changing Application Problems into Equationsp. 180
Solving Application Problemsp. 195
Mid-Chapter Test: Sections 3.1-3.2p. 206
Geometric Problemsp. 207
Motion, Money, and Mixture Problemsp. 212
Summaryp. 225
Review Exercisesp. 227
Practice Testp. 229
Cumulative Review Testp. 231
Graphing Linear Equationsp. 232
The Cartesian Coordinate System and Linear Equations in Two Variablesp. 233
Graphing Linear Equationsp. 241
Slope of a Linep. 251
Mid-Chapter Test: Sections 4.1-4.2p. 263
Slope-Intercept and Point-Slope Forms of a Linear Equationp. 263
Graphing Linear Inequalitiesp. 276
Functionsp. 279
Summaryp. 289
Review Exercisesp. 292
Practice Testp. 296
Cumulative Review Testp. 296
Systems of Linear Equationsp. 298
Solving Systems of Equations Graphicallyp. 299
Solving Systems of Equations by Substitutionp. 308
Solving Systems of Equations by the Addition Methodp. 315
Mid-Chapter Test: Sections 5.1-5.3p. 323
Systems of Equations: Applications and Problem Solvingp. 324
Solving Systems of Linear Inequalitiesp. 334
Summaryp. 337
Review Exercisesp. 339
Practice Testp. 341
Cumulative Review Testp. 342
Exponents and Polynomialsp. 345
Exponentsp. 344
Negative Exponentsp. 353
Scientific Notationp. 362
Mid-Chapter Test: Sections 6.1-6.2p. 372
Addition and Subtraction of Polynomialsp. 372
Multiplication of Polynomialsp. 379
Division of Polynomialsp. 389
Summaryp. 396
Review Exercisesp. 398
Practice Testp. 400
Cumulative Review Testp. 401
Factoringp. 402
Factoring a Monomial from a Polynomialp. 403
Factoring by Groupingp. 410
Factoring Trinomials of the Form ax[superscript 2] + bx + c, a = 1p. 415
Factoring Trinomials of the Form ax[superscript 2] + bx + c, a [nonequal] 1p. 424
Mid-Chapter Test: Sections 7.1-7.4p. 438
Special Factoring Formulas and a General Review of Factoringp. 436
Solving Quadratic Equations Using Factoringp. 444
Applications of Quadratic Equationsp. 451
Summaryp. 458
Review Exercisesp. 461
Practice Testp. 463
Cumulative Review Testp. 464
Rational Expressions and Equationsp. 465
Simplifying Rational Expressionsp. 466
Multiplication and Division of Rational Expressionsp. 474
Addition and Subtraction of Rational Expressions with a Common Denominator and Finding the Least Common Denominatorp. 482
Addition and Subtraction of Rational Expressionsp. 489
Mid-Chapter Test: Sections 8.1-8.4p. 496
Complex Fractionsp. 497
Solving Rational Equationsp. 502
Rational Equations: Applications and Problem Solvingp. 510
Variationp. 522
Summaryp. 529
Review Exercisesp. 532
Practice Testp. 534
Cumulative Review Testp. 535
Roots and Radicalsp. 536
Evaluating Square Rootsp. 537
Simplifying Square Rootsp. 544
Adding, Subtracting, and Multiplying Square Rootsp. 550
Dividing Square Rootsp. 556
Mid-Chapter Test: Sections 9.1-9.4p. 564
Solving Radical Equationsp. 565
Radicals: Applications and Problem Solvingp. 571
Higher Roots and Rational Exponentsp. 578
Summaryp. 585
Review Exercisesp. 588
Practice Testp. 590
Cumulative Review Testp. 591
Quadratic Equationsp. 592
The Square Root Propertyp. 593
Solving Quadratic Equations by Completing the Squarep. 598
Solving Quadratic Equations by the Quadratic
Formula 604 Mid-Chapter Test Sections 10.1-10.3p. 614
Graphing Quadratic Equationsp. 615
Complex Numbersp. 625
Summaryp. 628
Review Exercisesp. 630
Practice Testp. 632
Cumulative Review Testp. 633
Appendicesp. 634
Review of Decimals and Percentp. 634
Finding the Greatest Common Factor and Least Common Denominatorp. 637
Geometryp. 640
Answersp. A1
Applications Indexp. I1
Subject Indexp. I4
Photo CreditsP1
Table of Contents provided by Ingram. All Rights Reserved.

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