Elementary Algebra

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  • Edition: 8th
  • Format: Hardcover
  • Copyright: 2006-02-15
  • Publisher: Cengage Learning
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Make math a snap with ELEMENTARY ALGEBRA. Using everyday language and lots of examples, Kaufman and Schwitters show you how to apply algebra concepts and ace the test. And if tutoring is in your future, with this edition you get 40 hours of free tutoring per week through Personal Tutor with SMARTHINKING, the live online tutoring program that connects with you with an algebra expert who has a copy of your textbook. Plus, you'll get the powerful web-based iLrn Homework program that makes your assignments a breeze. Get the grade you want with ELEMENTARY ALGEBRA.

Table of Contents

Some Basic Concepts of Arithmetic and Algebrap. 1
Numerical and Algebraic Expressionsp. 2
Prime and Composite Numbersp. 9
Integers: Addition and Subtractionp. 15
Integers: Multiplication and Divisionp. 23
Use of Propertiesp. 29
Chapter 1 Summaryp. 39
Chapter 1 Review Problem Setp. 39
Chapter 1 Testp. 42
Real Numbersp. 43
Rational Numbers: Multiplication and Divisionp. 44
Addition and Subtraction of Rational Numbersp. 52
Real Numbers and Algebraic Expressionsp. 62
Exponentsp. 73
Translating from English to Algebrap. 80
Chapter 2 Summaryp. 87
Chapter 2 Review Problem Setp. 87
Chapter 2 Testp. 89
Cumulative Review Problem Setp. 90
Equations, Inequalities, and Problem Solvingp. 92
Solving First-Degree Equationsp. 93
Equations and Problem Solvingp. 99
More on Solving Equations and Problem Solvingp. 106
Equations Involving Parentheses and Fractional Formsp. 114
Inequalitiesp. 123
Inequalities, Compound Inequalities, and Problem Solvingp. 132
Chapter 3 Summaryp. 140
Chapter 3 Review Problem Setp. 140
Chapter 3 Testp. 143
Formulas and Problem Solvingp. 144
Ratio, Proportion, and Percentp. 145
More on Percents and Problem Solvingp. 154
Formulasp. 161
Problem Solvingp. 170
More about Problem Solvingp. 176
Chapter 4 Summaryp. 183
Chapter 4 Review Problem Setp. 183
Chapter 4 Testp. 185
Cumulative Review Problem Set (Chapters 1-4)p. 186
Exponents and Polynomialsp. 188
Addition and Subtraction of Polynomialsp. 189
Multiplying Monomialsp. 195
Multiplying Polynomialsp. 202
Dividing by Monomialsp. 210
Dividing by Binomialsp. 213
Zero and Negative Integers as Exponentsp. 218
Chapter 5 Summaryp. 227
Chapter 5 Review Problem Setp. 227
Chapter 5 Testp. 229
Cumulative Review Problem Set (Chapters 1-5)p. 230
Factoring, Solving Equations, and Problem Solvingp. 232
Factoring by Using the Distributive Propertyp. 233
Factoring the Difference of Two Squaresp. 240
Factoring Trinomials of the Form x[superscript 2] + bx + cp. 246
Factoring Trinomials of the Form ax[superscript 2] + bx + cp. 255
Factoring, Solving Equations, and Problem Solvingp. 261
Chapter 6 Summaryp. 271
Chapter 6 Review Problem Setp. 271
Chapter 6 Testp. 273
Algebraic Fractionsp. 274
Simplifying Algebraic Fractionsp. 275
Multiplying and Dividing Algebraic Fractionsp. 279
Adding and Subtracting Algebraic Fractionsp. 283
More on Addition and Subtraction of Algebraic Fractionsp. 290
Fractional Equations and Problem Solvingp. 298
More fractional Equations and Problem Solvingp. 305
Chapter 7 Summaryp. 316
Chapter 7 Review Problem Setp. 316
Chapter 7 Testp. 318
Cumulative Review Problem Set (Chapters 1-7)p. 319
Coordinate Geometry and Linear Systemsp. 321
Cartesian Coordinate Systemp. 322
Graphing Linear Equations and Inequalitiesp. 331
Slope of a Linep. 340
Writing Equations of Linesp. 348
Solving Linear Systems by Graphingp. 358
Elimination-by-Addition Methodp. 363
Substitution Methodp. 371
Chapter 8 Summaryp. 381
Chapter 8 Review Problem Setp. 382
Chapter 8 Testp. 384
Roots and Radicalsp. 385
Roots and Radicalsp. 386
Simplifying Radicalsp. 392
More on Simplifying Radicalsp. 398
Products and Quotients Involving Radicalsp. 404
Solving Radical Equationsp. 410
Chapter 9 Summaryp. 417
Chapter 9 Review Problem Setp. 417
Chapter 9 Testp. 419
Cumulative Review Problem Set (Chapters 1-9)p. 420
Quadratic Equationsp. 423
Quadratic Equationsp. 424
Completing the Squarep. 433
Quadratic Formulap. 439
Solving Quadratic Equations-Which Method?p. 444
Solving Problems Using Quadratic Equationsp. 448
Chapter 10 Summaryp. 456
Chapter 10 Review Problem Setp. 456
Chapter 10 Testp. 458
Additional Topicsp. 459
Equations and Inequalities Involving Absolute Valuep. 460
3 X 3 Systems of Equationsp. 464
Fractional Exponentsp. 475
Complex Numbersp. 480
Quadratic Equations: Complex Solutionsp. 484
Pie, Bar, and Line Graphsp. 488
Relations and Functionsp. 497
Applications of Functionsp. 502
Chapter 11 Summaryp. 507
Chapter 11 Review Problem Setp. 508
Chapter 11 Testp. 511
Table of Squares and Approximate Square Rootsp. 513
Extra Word Problemsp. 516
Answers to Odd-Numbered Problems and All Chapter Review, Chapter Test, Cumulative Review, and Appendix B Problemsp. 527
Indexp. 1
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