Introductory Algebra / Edition 2

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Overview

Introductory Algebra offers a refreshing approach to the traditional content of the course. Presented in worktext format, Introductory Algebra focuses on solving equations and inequalities, graphing, polynomials, factoring, rational expressions, and radicals. Other topics include quadratic equations and an introduction to functions and complex numbers. The text reflects the compassion and insight of its experienced author team with features developed to address the specific needs of developmental level students.

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Product Details

  • ISBN-13: 9780077281120
  • Publisher: McGraw-Hill Higher Education
  • Publication date: 11/10/2008
  • Edition description: Older Edition
  • Edition number: 2
  • Pages: 832
  • Sales rank: 897,749
  • Product dimensions: 8.50 (w) x 10.80 (h) x 1.00 (d)

Meet the Author

Julie Miller has been on the faculty in the School of Mathematics at Daytona State College for 20 years, where she has taught developmental and upper-level courses. Prior to her work at DSC, she worked as a Software Engineer for General Electric in the area of Flight and Radar simulation. Julie earned a Bachelor of Science in Applied Mathematics from Union College in Schenectady, New York, and a Master of Science in Mathematics from the University of Florida. In addition to this textbook, she has authored several course supplements for College Algebra, Trigonometry, and Precalculus, as well as several short works of fiction and nonfiction for young readers.

Molly O'Neill is also from Daytona State College, where she has taught for 22 years in the School of Mathematics. She has taught a variety of courses from Developmental Mathamatics to Calculus. Before she came to Florida, Molly taught as an adjunct instructor at the University of Michigan-Dearborn, Eastern Michigan University, Wayne State University, and Oakland Community College. Molly earned a Bachelor of Science in Mathematics and a Master of Arts in Teaching from Western Michigan University in Kalamazoo, Michigan. Besides this textbook, she has authored several course supplements for College Algebra, Trigonometry, and Precalculus and has reviewed texts for Developmental Mathematics.

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Table of Contents


Preface     x
Reference     1
Study Tips     2
Fractions     3
Decimals and Percents     19
Introduction to Geometry     30
Set of Real Numbers     47
Preview     48
Sets of Numbers and the Real Number Line     49
Order of Operations     61
Addition of Real Numbers     72
Subtraction of Real Numbers     81
Midchapter Review     90
Multiplication and Division of Real Numbers     90
Properties of Real Numbers and Simplifying Expressions     103
Summary     116
Review Exercises     120
Test     123
Linear Equations and Inequalities     125
Preview     126
Addition, Subtraction, Multiplication, and Division Properties of Equality     127
Solving Linear Equations     138
Linear Equations: Clearing Fractions and Decimals     147
Midchapter Review     154
Applications of Linear Equations: Introduction to Problem Solving     155
Applications Involving Percents     167
Formulas and Applications of Geometry     175
Linear Inequalities     186
Summary     203
Review Exercises     209
Test     213
Cumulative Review Exercises Chapters 1-2     214
Graphing Linear Equations in Two Variables     217
Preview     218
Rectangular Coordinate System     219
Linear Equations in Two Variables     230
Slope of a Line     249
Slope-Intercept Form of a Line     265
Midchapter Review     276
Point-Slope Formula     278
Applications of Linear Equations     289
Introduction to Functions     301
Summary     317
Review Exercises     324
Test     330
Cumulative Review Exercises Chapters 1-3     333
Systems of Linear Equations in Two Variables     335
Preview     336
Solving Systems of Equations by the Graphing Method     337
Solving Systems of Equations by the Substitution Method     349
Solving Systems of Equations by the Addition Method     358
Midchapter Review     369
Applications of Linear Equations in Two Variables     371
Linear Inequalities in Two Variables     381
Summary     393
Review Exercises     398
Test     402
Cumulative Review Exercises Chapters 1-4     404
Polynomials and Properties of Exponents     407
Preview     408
Exponents: Multiplying and Dividing Common Bases     409
More Properties of Exponents     420
Definitions of b[superscript 0] and b[superscript -n]     425
Scientific Notation     434
Midchapter Review     443
Addition and Subtraction of Polynomials     444
Multiplication of Polynomials     456
Division of Polynomials     467
Summary     475
Review Exercises     479
Test     483
Cumulative Review Exercises Chapters 1-5     484
Factoring Polynomials     487
Preview     488
Greatest Common Factor and Factoring by Grouping     489
Factoring Trinomials: Grouping Method     499
Factoring Trinomials: Trial-and-Error Method     507
Factoring Perfect Square Trinomials and the Difference of Squares     517
Midchapter Review     525
Factoring the Sum and Difference of Cubes and General Factoring Summary     527
Solving Equations Using the Zero Product Rule      536
Summary     550
Review Exercises     553
Test     555
Cumulative Review Exercises Chapters 1-6     557
Rational Expressions     559
Preview     560
Introduction to Rational Expressions     561
Multiplication and Division of Rational Expressions     572
Least Common Denominator     578
Addition and Subtraction of Rational Expressions     586
Midchapter Review     597
Complex Fractions     598
Rational Equations     605
Applications of Rational Equations and Proportions     616
Direct and Inverse Variation (Optional)     628
Summary     637
Review Exercises     645
Test     648
Cumulative Review Exercises Chapters 1-7     649
Radicals     653
Preview     654
Introduction to Roots and Radicals     655
Simplifying Radicals     668
Addition and Subtraction of Radicals     678
Multiplication of Radicals     685
Midchapter Review     692
Rationalization     693
Radical Equations     700
Rational Exponents      707
Summary     716
Review Exercises     720
Test     723
Cumulative Review Exercises Chapters 1-8     725
More Quadratic Equations     729
Preview     730
The Square Root Property and Completing the Square     731
Quadratic Formula     740
9 Midchapter Review     749
Graphing Quadratic Functions     749
Summary     764
Review Exercises     766
Test     769
Cumulative Review Exercises Chapters 1-9     770
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