9780321233882

Elementary Algebra : Concepts and Applications

by ;
  • ISBN13:

    9780321233882

  • ISBN10:

    0321233883

  • Edition: 7th
  • Format: Hardcover
  • Copyright: 1/1/2006
  • Publisher: Addison Wesley
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Summary

Normal 0 false false false MicrosoftInternetExplorer4 The goal ofElementary Algebra: Concepts and Applications,7e is to help todayrs"s students learn and retain mathematical concepts by preparing them for the transition from "skills-oriented" elementary algebra courses to more "concept-oriented" college-level mathematics courses, as well as to make the transition from "skill" to "application." This edition continues to bring your students a best-selling text that incorporates the five-step problem-solving process, real-world applications, proven pedagogy, and an accessible writing style. The Bittinger/Ellenbogen series has consistently provided teachers and students with the tools needed to succeed in developmental mathematics. This edition has an even stronger focus on vocabulary and conceptual understanding as well as making the mathematics more accessible to students. Among the features added are newConcept Reinforcementexercises, Student Notes that help students avoid common mistakes, and Study Summaries that highlight the most important concepts and terminology from each chapter. Introduction to Algebraic Expressions; Equations, Inequalities, and Problem Solving; Introduction to Graphing; Polynomials; Polynomials and Factoring; Rational Expressions and Equations; Systems and More Graphing; Radical Expressions and Equations; Quadratic Equations For all readers interested in elementary algebra.

Table of Contents

Introduction to Algebraic Expressions
Introduction to Algebra
2(11)
The Commutative, Associative, and Distributive Laws
13(7)
Fraction Notation
20(10)
Positive and Negative Real Numbers
30(9)
Addition of Real Numbers
39(7)
Subtraction of Real Numbers
46(8)
Multiplication and Division of Real Numbers
54(9)
Exponential Notation and Order of Operations
63(17)
Study Summary
74(1)
Review Exercises
75(3)
Test
78(2)
Equations, Inequalities, and Problem Solving
Solving Equations
80(9)
Using the Principles Together
89(8)
Formulas
97(7)
Applications with Percent
104(10)
Problem Solving
114(13)
Solving Inequalities
127(8)
Solving Applications with Inequalities
135(13)
Study Summary
143(1)
Review Exercises
144(2)
Test
146(2)
Introduction to Graphing
Reading Graphs, Plotting Points, and Scaling Graphs
148(11)
Graphing Linear Equations
159(10)
Graphing and Intercepts
169(8)
Rates
177(10)
Slope
187(14)
Slope--Intercept Form
201(8)
Point--Slope Form
209(17)
Study Summary
219(1)
Review Exercises
219(3)
Test
222(1)
Cumulative Review: Chapters 1--3
223(3)
Polynomials
Exponents and Their Properties
226(9)
Polynomials
235(9)
Addition and Subtraction of Polynomials
244(9)
Multiplication of Polynomials
253(8)
Special Products
261(9)
Polynomials in Several Variables
270(9)
Division of Polynomials
279(5)
Negative Exponents and Scientific Notation
284(16)
Study Summary
294(1)
Review Exercises
295(3)
Test
298(2)
Polynomials and Factoring
Introduction to Factoring
300(8)
Factoring Trinomials of the Type x2 + bx + c
308(9)
Factoring Trinomials of the Type ax2 + bx + c
317(9)
Factoring Perfect-Square Trinomials and Differences of Squares
326(8)
Factoring: A General Strategy
334(6)
Solving Quadratic Equations by Factoring
340(8)
Solving Applications
348(16)
Study Summary
359(1)
Review Exercises
360(1)
Test
361(3)
Rational Expressions and Equations
Rational Expressions
364(7)
Multiplication and Division
371(6)
Addition, Subtraction, and Least Common Denominators
377(10)
Addition and Subtraction with Unlike Denominators
387(9)
Complex Rational Expressions
396(6)
Solving Rational Equations
402(8)
Applications Using Rational Equations and Proportions
410(20)
Study Summary
423(1)
Review Exercises
424(2)
Test
426(1)
Cumulative Review: Chapters 1--6
427(3)
Systems and More Graphing
Systems of Equations and Graphing
430(7)
Systems of Equations and Substitution
437(7)
Systems of Equations and Elimination
444(9)
More Applications Using Systems
453(11)
Linear Inequalities in Two Variables
464(5)
Systems of Linear Inequalities
469(3)
Direct and Inverse Variation
472(12)
Study Summary
479(1)
Review Exercises
480(2)
Test
482(2)
Radical Expressions and Equations
Introduction to Square Roots and Radical Expressions
484(8)
Multiplying and Simplifying Radical Expressions
492(6)
Quotients Involving Square Roots
498(5)
Radical Expressions with Several Terms
503(5)
Radical Equations
508(7)
Applications Using Right Triangles
515(8)
Higher Roots and Rational Exponents
523(11)
Study Summary
529(1)
Review Exercises
530(2)
Test
532(2)
Quadratic Equations
Solving Quadratic Equations: The Principle of Square Roots
534(6)
Solving Quadratic Equations: Completing the Square
540(6)
The Quadratic Formula and Applications
546(10)
Formulas and Equations
556(6)
Complex Numbers as Solutions of Quadratic Equations
562(4)
Graphs of Quadratic Equations
566(6)
Functions
572(19)
Study Summary
583(1)
Review Exercises
584(2)
Test
586(1)
Cumulative Review: Chapters 1--9
587(4)
Appendix A: Factoring Sums or Differences of Cubes 591(3)
Appendix B: Mean, Median, and Mode 594(4)
Appendix C: Sets 598(5)
Table 1: Fraction and Decimal Equivalents 603(1)
Table 2: Squares and Square Roots with Approximations to Three Decimal Places 604(1)
Table 3: Geometric Formulas 605
Answers 1(1)
Glossary 1(1)
Index 1

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