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Elementary Algebra

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Pub. Date:
Addison Wesley

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While using Elementary Algebra, Second Edition, you will find that the text focuses on building competence and confidence. The authors present the concepts, show how to do the math, and explain the reasoning behind it in a language you can understand. The text ties concepts together using the Algebra Pyramid, which will help you see the big picture of algebra. The skills Carson presents through both the Learning Strategy boxes and the Study System, introduced in the Preface and incorporated throughout the text, will not only enhance your elementary algebra experience but will also help you succeed in future college courses. Book jacket.

Table of Contents

Prefacep. vii
To the Studentp. xvii
Learning Styles Inventoryp. xxiii
Foundations of Algebrap. 1
Number Sets and the Structure of Algebrap. 2
Fractionsp. 11
Adding and Subtracting Real Numbers; Properties of Real Numbersp. 24
Multiplying and Dividing Real Numbers; Properties of Real Numbersp. 41
Exponents, Roots, and Order of Operationsp. 56
Translating Word Phrases to Expressionsp. 70
Evaluating and Rewriting Expressionsp. 78
Summaryp. 89
Review Exercisesp. 95
Practice Testp. 99
Solving Linear Equations and Inequalitiesp. 101
Equations, Formulas, and the Problem-Solving Processp. 102
The Addition Principlep. 118
The Multiplication Principlep. 132
Applying the Principles to Formulasp. 147
Translating Word Sentences to Equationsp. 153
Solving Linear Inequalitiesp. 164
Summaryp. 177
Review Exercisesp. 182
Practice Testp. 186
Problem Solvingp. 189
Ratios and Proportionsp. 190
Percentsp. 205
Problems with Two or More Unknownsp. 221
Ratesp. 236
Investment and Mixturep. 244
Summaryp. 252
Review Exercisesp. 257
Practice Testp. 262
Chapters 1-3 Cumulative Review Exercisesp. 264
Graphing Linear Equations and Inequalitiesp. 267
The Rectangular Coordinate Systemp. 268
Graphing Linear Equationsp. 277
Graphing Using Interceptsp. 289
Slope-Intercept Formp. 299
Point-Slope Formp. 313
Graphing Linear Inequalitiesp. 327
Introduction to Functions and Function Notationp. 337
Summaryp. 355
Review Exercisesp. 363
Practice Testp. 370
Polynomialsp. 373
Exponents and Scientific Notationp. 374
Introduction to Polynomialsp. 387
Adding and Subtracting Polynomialsp. 400
Exponent Rules and Multiplying Monomialsp. 411
Multiplying Polynomials; Special Productsp. 423
Exponent Rules and Dividing Polynomialsp. 435
Summaryp. 451
Review Exercisesp. 454
Practice Testp. 458
Factoringp. 459
Greatest Common Factor and Factoring by Groupingp. 460
Factoring Trinomials of the Form x[superscript 2] + bx + cp. 471
Factoring Trinomials of the Form ax[superscript 2] + bx + c, where a [not equal] 1p. 478
Factoring Special Productsp. 487
Strategies for Factoringp. 496
Solving Quadratic Equations by Factoringp. 502
Graphs of Quadratic Equations and Functionsp. 515
Summaryp. 525
Review Exercisesp. 530
Practice Testp. 533
Chapters 1-6 Cumulative Review Exercisesp. 534
Rational Expressions and Equationsp. 537
Simplifying Rational Expressionsp. 538
Multiplying and Dividing Rational Expressionsp. 552
Adding and Subtracting Rational Expressions with the Same Denominatorp. 563
Adding and Subtracting Rational Expressions with Different Denominatorsp. 570
Complex Rational Expressionsp. 582
Solving Equations Containing Rational Expressionsp. 591
Applications with Rational Expressionsp. 601
Summaryp. 615
Review Exercisesp. 622
Practice Testp. 626
Systems of Equationsp. 629
Solving Systems of Linear Equations Graphicallyp. 630
Solving Systems of Linear Equations by Substitutionp. 641
Solving Systems of Linear Equations by Eliminationp. 652
More Applications with Systems of Equationsp. 664
Solving Systems of Linear Inequalitiesp. 678
Summaryp. 688
Review Exercisesp. 693
Practice Testp. 697
Roots and Radicalsp. 699
Square Roots and Radical Expressionsp. 700
Multiplying and Simplifying Square Rootsp. 710
Dividing and Simplifying Square Rootsp. 716
Adding and Subtracting Square Rootsp. 727
Solving Radical Equationsp. 738
Higher Roots and Rational Exponentsp. 748
Summaryp. 760
Review Exercisesp. 764
Practice Testp. 769
Chapters 1-9 Cumulative Review Exercisesp. 770
Quadratic Equationsp. 773
The Square Root Principlep. 774
Solving Quadratic Equations by Completing the Squarep. 785
Solving Quadratic Equations Using the Quadratic Formulap. 794
Complex Numbersp. 806
Graphing Quadratic Equationsp. 815
Summaryp. 830
Review Exercisesp. 835
Practice Testp. 839
Chapters 1-10 Cumulative Review Exercisesp. 841
Answers (Student edition only)p. 1
Glossaryp. 1
Indexp. 1
Applications Indexp. 1
Photograph Creditsp. 1
Table of Contents provided by Ingram. All Rights Reserved.

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