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9780534368838

Elementary and Intermediate Algebra (Hardcover)

by ;
  • ISBN13:

    9780534368838

  • ISBN10:

    0534368832

  • Format: Hardcover
  • Copyright: 2000-01-04
  • Publisher: Brooks Cole
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Supplemental Materials

What is included with this book?

Summary

This text uses a blend of the traditional and the reform instructional approaches to teach students how to read, write, speak, and think mathematically using the language of algebra. The first seven chapters provide a complete course in elementary algebra, introducing the standard beginning topics at a pace that allows for developing a strong conceptual foundation. Chapter 8 is a transitional chapter that extends these topics to the intermediate level. Chapters 9-14 comprise a complete course in intermediate algebra.

Table of Contents

An Introduction to Algebrap. 1
Describing Numerical Relationshipsp. 2
The Real Numbersp. 12
Exponents and Order of Operationsp. 25
Algebraic Expressionsp. 36
Solving Equationsp. 48
Problem Solvingp. 61
Key Concept: Variablesp. 71
Accent on Teamworkp. 72
Chapter Reviewp. 73
Chapter Testp. 79
Real Numbers, Equations, and Inequalitiesp. 81
Adding and Subtracting Real Numbersp. 82
Multiplying and Dividing Real Numbersp. 93
Order of Operations and Evaluating Algebraic Expressionsp. 105
Simplifying Algebraic Expressionsp. 115
Solving Equationsp. 125
Formulasp. 137
Problem Solvingp. 150
Inequalitiesp. 162
Key Concept: Simplify and Solvep. 175
Accent on Teamworkp. 176
Chapter Reviewp. 177
Chapter Testp. 183
Cumulative Review Exercisesp. 184
Graphs, Linear Equations, and Functionsp. 187
Graphing Using the Rectangular Coordinate Systemp. 188
Equations Containing Two Variablesp. 197
Graphing Linear Equationsp. 210
Rate of Change and the Slope of a Linep. 224
Describing Linear Relationshipsp. 236
Writing Linear Equationsp. 249
Functionsp. 257
Key Concept: Describing Linear Relationshipsp. 267
Accent on Teamworkp. 268
Chapter Reviewp. 269
Chapter Testp. 274
Exponents and Polynomialsp. 276
Natural-Number Exponentsp. 277
Zero and Negative Integer Exponentsp. 285
Scientific Notationp. 293
Polynomials and Polynomial Functionsp. 300
Adding and Subtracting Polynomialsp. 311
Multiplying Polynomialsp. 318
Dividing Polynomials by Monomialsp. 328
Dividing Polynomials by Polynomialsp. 335
Key Concept: Polynomialsp. 342
Accent on Teamworkp. 343
Chapter Reviewp. 344
Chapter Testp. 348
Cumulative Review Exercisesp. 349
Factoring and Quadratic Equationsp. 352
Factoring Out the Greatest Common Factor and Factoring by Groupingp. 353
Factoring the Difference of Two Squaresp. 363
Factoring Trinomialsp. 368
Quadratic Equationsp. 379
The Quadratic Formulap. 388
Graphing Quadratic Functionsp. 401
Key Concept: Quadratic Equationsp. 414
Accent on Teamworkp. 415
Chapter Reviewp. 416
Chapter Testp. 420
Proportion and Rational Expressionsp. 422
Ratiosp. 423
Proportions and Similar Trianglesp. 431
Rational Expressions and Rational Functionsp. 441
Multiplying and Dividing Rational Expressionsp. 451
Adding and Subtracting Rational Expressionsp. 459
Complex Fractionsp. 469
Solving Equations That Contain Rational Expressionsp. 475
Applications of Equations That Contain Rational Expressionsp. 482
Key Concept: The Language of Algebrap. 488
Accent on Teamworkp. 489
Chapter Reviewp. 490
Chapter Testp. 494
Cumulative Review Exercisesp. 495
Solving Systems of Equations and Inequalitiesp. 498
Solving Systems of Equations by Graphingp. 499
Solving Systems of Equations by Substitutionp. 510
Solving Systems of Equations by Additionp. 517
Applications of Systems of Equationsp. 524
Graphing Linear Inequalitiesp. 535
Solving Systems of Linear Inequalitiesp. 544
Key Concept: Systems of Equations and Inequalitiesp. 554
Accent on Teamworkp. 555
Chapter Reviewp. 556
Chapter Testp. 560
More Equations, Inequalities, and Factoringp. 562
Review of Equations and Inequalitiesp. 563
Solving Absolute Value Equations and Inequalitiesp. 576
Review of Factoringp. 585
Factoring the Sum and Difference of Two Cubesp. 597
Review of Rational Expressionsp. 602
Review of Linear Functionsp. 614
Variationp. 630
Key Concept: Factoringp. 639
Accent on Teamworkp. 640
Chapter Reviewp. 641
Chapter Testp. 645
Cumulative Review Exercisesp. 646
Radicals and Rational Exponentsp. 649
Radical Expressions and Radical Functionsp. 650
Radical Equationsp. 662
Rational Exponentsp. 671
Simplifying and Combining Radical Expressionsp. 681
Multiplying and Dividing Radical Expressionsp. 691
Geometric Applications of Radicalsp. 701
Key Concept: Radicalsp. 711
Accent on Teamworkp. 712
Chapter Reviewp. 713
Chapter Testp. 718
Quadratic Equations, Functions, and Inequalitiesp. 720
Completing the Squarep. 721
The Quadratic Formulap. 731
Quadratic Functions and Their Graphsp. 739
Complex Numbersp. 753
The Discriminant and Equations That Can Be Written in Quadratic Formp. 763
Quadratic and Other Nonlinear Inequalitiesp. 769
Key Concept: Solving Quadratic Equationsp. 778
Accent on Teamworkp. 779
Chapter Reviewp. 780
Chapter Testp. 784
Cumulative Review Exercisesp. 785
Exponential and Logarithmic Functionsp. 788
Algebra and Composition of Functionsp. 789
Inverses of Functionsp. 796
Exponential Functionsp. 806
Base-e Exponential Functionsp. 819
Logarithmic Functionsp. 828
Base-e Logarithmsp. 837
Properties of Logarithmsp. 843
Exponential and Logarithmic Equationsp. 853
Key Concept: Inverse Functionsp. 863
Accent on Teamworkp. 864
Chapter Reviewp. 865
Chapter Testp. 870
More on Systems of Equationsp. 873
Solving Systems with Two Variablesp. 874
Solving Systems with Three Variablesp. 888
Solving Systems Using Matricesp. 899
Solving Systems Using Determinantsp. 909
Key Concept: Systems of Equationsp. 920
Accent on Teamworkp. 921
Chapter Reviewp. 922
Chapter Testp. 926
Cumulative Review Exercisesp. 927
Conic Sections; More Graphingp. 930
The Circle and the Parabolap. 931
The Ellipsep. 943
The Hyperbolap. 951
Solving Simultaneous Second-Degree Equationsp. 960
Key Concept: Conic Sectionsp. 966
Accent on Teamworkp. 967
Chapter Reviewp. 968
Chapter Testp. 970
Miscellaneous Topicsp. 971
The Binomial Theoremp. 972
Arithmetic Sequencesp. 979
Geometric Sequencesp. 986
Permutations and Combinationsp. 995
Probabilityp. 1004
Key Concept: The Language of Algebrap. 1009
Accent on Teamworkp. 1010
Chapter Reviewp. 1011
Chapter Testp. 1014
Cumulative Review Exercisesp. 1015
Arithmetic Fractionsp. 1
Synthetic Divisionp. 14
Tablesp. 21
Powers and Rootsp. 21
Base-10 Logarithmsp. 22
Base-e Logarithmsp. 23
Answers to Selected Exercisesp. 24
Indexp. 1
Table of Contents provided by Syndetics. All Rights Reserved.

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