Algebra for College Students / Edition 6

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This text presents a comprehensive introduction to the topics in intermediate- and college-level algebra. It provides students with the basic skills they'll need to succeed in their next mathematics course. As the book progresses, the mathematical language matures, examples grow less structured, and exercises grow more varied, thus improving students problem solving skills.
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Editorial Reviews

A textbook for a one-semester four- or five-hour course, or a two- semester sequence in algebra. Revisions in the fifth edition reflect the NCTM standards, the AMATYC Crossroads, and current trends in mathematics reform, such as more emphasis on graphing and problem solving. An appendix contains answers to odd-numbered exercises. Annotation c. by Book News, Inc., Portland, Or.
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Product Details

  • ISBN-13: 9780534384869
  • Publisher: Brooks/Cole
  • Publication date: 11/1/1901
  • Edition description: Older Edition
  • Edition number: 6
  • Pages: 1000
  • Product dimensions: 8.20 (w) x 10.20 (h) x 1.41 (d)

Table of Contents

Chapter 1 Basic Concepts 1
1.1 The Real Number System 2
1.2 Arithmetic and Properties of Real Numbers 13
1.3 Exponents 26
1.4 Scientific Notation 38
1.5 Solving Equations 45
1.6 Using Equations to Solve Problems 55
1.7 More Applications of Equations 66
Projects 73
Chapter Summary 74
Chapter Test 78
Chapter 2 Graphs, Equations of Lines, and Functions 80
2.1 Graphing Linear Equations 81
2.2 Slope of a Nonvertical Line 96
2.3 Writing Equations of Lines 106
2.4 Introduction to Functions 118
2.5 Graphs of Other Functions 128
Projects 138
Chapter Summary 139
Chapter Test 143
Cumulative Review Exercises 143
Chapter 3 Systems of Equations 145
3.1 Solutions by Graphing 146
3.2 Solution by Elimination 154
3.3 Solutions of Three Equations in Three Variables 169
3.4 Solution by Matrices 178
3.5 Solution by Determinants 186
Projects 196
Chapter Summary 197
Chapter Test 198
Chapter 4 Inequalities 200
4.1 Linear Inequalities 201
4.2 Equations and Inequalities with Absolute Values 211
4.3 Linear Inequalities in Two Variables 223
4.4 Systems of Inequalities 231
4.5 Linear Programming 237
Projects 246
Chapter Summary 247
Chapter Test 250
Cumulative Review Exercises 251
Chapter 5 Polynomials and Polynomial Functions 253
5.1 Polynomials and Polynomial Functions 254
5.2 Adding and Subtracting Polynomials 263
5.3 Multiplying Polynomials 268
5.4 The Greatest Common Factor and Factoring by Grouping 278
5.5 The Difference of Two Squares; the Sum and Difference of Two Cubes 287
5.6 Factoring Trinomials 294
5.7 Summary of Factoring Techniques 305
5.8 Solving Equations by Factoring 308
Projects 316
Chapter Summary 318
Chapter Test 322
Chapter 6 Rational Expressions 323
6.1 Rational Functions and Simplifying Rational Expressions 324
6.2 Proportion and Variation 335
6.3 Multiplying and Dividing Rational Expressions 348
6.4 Adding and Subtracting Rational Expressions 356
6.5 Complex Fractions 365
6.6 Equations Containing Rational Expressions 374
6.7 Dividing Polynomials 384
Projects 390
Chapter Summary 392
Chapter Test 395
Cumulative Review Exercises 396
Chapter 7 Radicals and Rational Exponents 398
7.1 Radical Expressions 399
7.2 Applications of Radicals 411
7.3 Rational Exponents 418
7.4 Simplifying and Combining Radical Expressions 426
7.5 Multiplying and Dividing Radical Expressions 435
7.6 Radical Equations 443
Projects 450
Chapter Summary 452
Chapter Test 456
Chapter 8 Quadratic Functions and Inequalities 458
8.1 Completing the Square and the Quadratic Formula 459
8.2 Graphs of Quadratic Functions 470
8.3 Complex Numbers 481
8.4 The Discriminant and Equations That Can Be Written in Quadratic Form 491
8.5 Quadratic and Other Nonlinear Inequalities 497
Projects 505
Chapter Summary 506
Chapter Test 509
Cumulative Review Exercises 510
Chapter 9 More Functions and Operations on Functions 512
9.1 Symmetry and Stretchings of Graphs 513
9.2 Piecewise-Defined Functions and the Greatest Integer Function 522
9.3 More Rational Functions 527
9.4 Partial Fractions 541
9.5 Algebra and Composition of Functions 548
9.6 Inverses of Functions 555
Projects 564
Chapter Summary 566
Chapter Test 569
Chapter 10 Exponential and Logarithmic Functions 571
10.1 Exponential Functions 572
10.2 Base-e Exponential Functions 584
10.3 Logarithmic Functions 591
10.4 Base-e Logarithms 600
10.5 Properties of Logarithms 606
10.6 Exponential and Logarithmic Equations 615
Projects 624
Chapter Summary 626
Chapter Test 630
Cumulative Review Exercises 632
Chapter 11 Solving Polynomial Equations 633
11.1 The Remainder and Factor Theorems; Synthetic Division 634
11.2 Descartes' Rule of Signs and Bounds on Roots 643
11.3 Rational Roots of Polynomial Equations 650
11.4 Irrational Roots of Polynomial Equations 658
Projects 663
Chapter Summary 664
Chapter Test 667
Chapter 12 Conic Sections and Quadratic Systems 668
12.1 The Circle 669
12.2 The Parabola 678
12.3 The Ellipse 686
12.4 The Hyperbola 696
12.5 Solving Simultaneous Second-Degree Equations 705
Projects 712
Chapter Summary 713
Chapter Test 717
Cumulative Review Exercises 719
Chapter 13 Natural Number Functions and Probability 721
13.1 The Binomial Theorem 722
13.2 Sequences, Series, and Summation Notation 729
13.3 Arithmetic Sequences 736
13.4 Geometric Sequences 742
13.5 Mathematical Induction 750
13.6 Permutations and Combinations 756
13.7 Probability 766
13.8 Computation of Compound Probabilities 772
13.9 Odds and Mathematical Expectation 778
Projects 781
Chapter Summary 782
Chapter Test 787
Cumulative Review Exercises 788
Appendix I Matrix Algebra 1
I.1 Matrix Algebra 1
I.2 Matrix Inversion 9
Appendix II Tables 15
Table A Powers and Roots 15
Table B Base-10 Logarithms 16
Table C Base-e Logarithms 17
Appendix III Answers to Selected Exercises 19
Index 1
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