Elementary Algebra Early Graphing for College Students

by Angel, Allen R.; Semmler, Richard; Calhoun, Aimee

• ISBN13: 9780136134169
• ISBN10: 0136134165
• Edition: 3rd
• Format: Hardcover
• Copyright: 2007-01-31
• Publisher: Pearson

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

Preface	p. xi
To the Student	p. xvii
Real Numbers	p. 1
Study Skills for Success in Mathematics	p. 2
Problem Solving	p. 7
Fractions	p. 20
The Real Number System	p. 30
Inequalities	p. 35
Mid-Chapter Test: Sections 1.1-1.5	p. 40
Addition of Real Numbers	p. 41
Subtraction of Real Numbers	p. 50
Multiplication and Division of Real Numbers	p. 60
Exponents, Parentheses, and the Order of Operations	p. 68
Properties of the Real Number System	p. 80
Summary	p. 86
Review Exercises	p. 91
Practice Test	p. 94
Solving Linear Equations and Inequalities	p. 95
Combining Like Terms	p. 96
The Addition Property of Equality	p. 105
The Multiplication Property of Equality	p. 112
Solving Linear Equations with a Variable on Only One Side of the Equation	p. 119
Mid-Chapter Test: Sections 2.1-2.4	p. 129
Solving Linear Equations with the Variable on Both Sides of the Equation	p. 129
Formulas	p. 140
Ratios and Proportions	p. 152
Inequalities in One Variable	p. 164
Summary	p. 171
Review Exercises	p. 175
Practice Test	p. 178
Cumulative Review Test	p. 178
Applications of Algebra	p. 179
Changing Application Problems into Equations	p. 180
Solving Application Problems	p. 195
Mid-Chapter Test: Sections 3.1-3.2	p. 206
Geometric Problems	p. 207
Motion, Money, and Mixture Problems	p. 212
Summary	p. 225
Review Exercises	p. 227
Practice Test	p. 229
Cumulative Review Test	p. 231
Graphing Linear Equations	p. 232
The Cartesian Coordinate System and Linear Equations in Two Variables	p. 233
Graphing Linear Equations	p. 241
Slope of a Line	p. 251
Mid-Chapter Test: Sections 4.1-4.2	p. 263
Slope-Intercept and Point-Slope Forms of a Linear Equation	p. 263
Graphing Linear Inequalities	p. 276
Functions	p. 279
Summary	p. 289
Review Exercises	p. 292
Practice Test	p. 296
Cumulative Review Test	p. 296
Systems of Linear Equations	p. 298
Solving Systems of Equations Graphically	p. 299
Solving Systems of Equations by Substitution	p. 308
Solving Systems of Equations by the Addition Method	p. 315
Mid-Chapter Test: Sections 5.1-5.3	p. 323
Systems of Equations: Applications and Problem Solving	p. 324
Solving Systems of Linear Inequalities	p. 334
Summary	p. 337
Review Exercises	p. 339
Practice Test	p. 341
Cumulative Review Test	p. 342
Exponents and Polynomials	p. 345
Exponents	p. 344
Negative Exponents	p. 353
Scientific Notation	p. 362
Mid-Chapter Test: Sections 6.1-6.2	p. 372
Addition and Subtraction of Polynomials	p. 372
Multiplication of Polynomials	p. 379
Division of Polynomials	p. 389
Summary	p. 396
Review Exercises	p. 398
Practice Test	p. 400
Cumulative Review Test	p. 401
Factoring	p. 402
Factoring a Monomial from a Polynomial	p. 403
Factoring by Grouping	p. 410
Factoring Trinomials of the Form ax[superscript 2] + bx + c, a = 1	p. 415
Factoring Trinomials of the Form ax[superscript 2] + bx + c, a [nonequal] 1	p. 424
Mid-Chapter Test: Sections 7.1-7.4	p. 438
Special Factoring Formulas and a General Review of Factoring	p. 436
Solving Quadratic Equations Using Factoring	p. 444
Applications of Quadratic Equations	p. 451
Summary	p. 458
Review Exercises	p. 461
Practice Test	p. 463
Cumulative Review Test	p. 464
Rational Expressions and Equations	p. 465
Simplifying Rational Expressions	p. 466
Multiplication and Division of Rational Expressions	p. 474
Addition and Subtraction of Rational Expressions with a Common Denominator and Finding the Least Common Denominator	p. 482
Addition and Subtraction of Rational Expressions	p. 489
Mid-Chapter Test: Sections 8.1-8.4	p. 496
Complex Fractions	p. 497
Solving Rational Equations	p. 502
Rational Equations: Applications and Problem Solving	p. 510
Variation	p. 522
Summary	p. 529
Review Exercises	p. 532
Practice Test	p. 534
Cumulative Review Test	p. 535
Roots and Radicals	p. 536
Evaluating Square Roots	p. 537
Simplifying Square Roots	p. 544
Adding, Subtracting, and Multiplying Square Roots	p. 550
Dividing Square Roots	p. 556
Mid-Chapter Test: Sections 9.1-9.4	p. 564
Solving Radical Equations	p. 565
Radicals: Applications and Problem Solving	p. 571
Higher Roots and Rational Exponents	p. 578
Summary	p. 585
Review Exercises	p. 588
Practice Test	p. 590
Cumulative Review Test	p. 591
Quadratic Equations	p. 592
The Square Root Property	p. 593
Solving Quadratic Equations by Completing the Square	p. 598
Solving Quadratic Equations by the Quadratic
Formula 604 Mid-Chapter Test Sections 10.1-10.3	p. 614
Graphing Quadratic Equations	p. 615
Complex Numbers	p. 625
Summary	p. 628
Review Exercises	p. 630
Practice Test	p. 632
Cumulative Review Test	p. 633
Appendices	p. 634
Review of Decimals and Percent	p. 634
Finding the Greatest Common Factor and Least Common Denominator	p. 637
Geometry	p. 640
Answers	p. A1
Applications Index	p. I1
Subject Index	p. I4
Photo Credits	P1
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