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Algebra for College Students

ISBN: 9780137002122 | 0137002122
Edition: 3rd
Format: Hardcover
Publisher: Prentice Hall Professional Technical Reference
Pub. Date: 8/1/1997

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SummaryTable of Contents
The material is presented in an interesting and inviting format that utilizes "real world" data and encourages modeling, critical thinking and problem solving.
Prefaceix(14)
To the Studentxxiii
CHAPTER 1 Algebra and Problem Solving
1(128)
1.1 The Real Numbers and the Number Line
... MORE		2(15)
1.2 Operations with the Real Numbers and Algebraic Expressions
17(12)
1.3 Graphing Equations
29(15)
1.4 Properties of Integral Exponents
44(13)
1.5 Scientific Notation
57(8)
1.6 Solving Linear Equations
65(12)
1.7 Mathematical Models
77(12)
1.8 Strategies for Solving Problems
89(24)
Chapter Project
113(2)
Summary
115(2)
Review Problems
117(8)
Chapter Test
125(4)
CHAPTER 2 Functions, Linear Functions, and Inequalities
129(94)
2.1 Introduction to Functions
130(15)
2.2 Linear Functions and Slope
145(19)
2.3 The Point-Slope Equation of a Line
164(11)
2.4 Solving Linear Inequalities
175(9)
2.5 Compound Inequalities
184(11)
2.6 Equations and Inequalities Involving Absolute Value
195(8)
2.7 Linear Inequalities Containing Two Variables
203(7)
Chapter Project
210(2)
Summary
212(2)
Review Problems
214(5)
Chapter Test
219(4)
CHAPTER 3 Systems of Linear Equations and Inequalities
223(92)
3.1 Linear Systems of Equations in Two Variables
224(16)
3.2 Problem Solving and Modeling Using Systems of Equations
240(15)
3.3 Linear Systems of Equations in Three Variables
255(14)
3.4 Matrix Solutions to Linear Systems
269(12)
3.5 Solving Linear Systems of Equations Using Determinants and Cramer's Rule
281(10)
3.6 Systems of Linear Inequalities and Linear Programming
291(12)
Chapter Project
303(2)
Summary
305(2)
Review Problems
307(3)
Chapter Test
310(2)
Cumulative Review Problems (Chapters 1 - 3)
312(3)
CHAPTER 4 Polynomials, Polynomial Functions, and Factoring
315(96)
4.1 Introduction to Polynomials and Polynomial Functions
316(15)
4.2 Multiplication of Polynomials
331(15)
4.3 Greatest Common Factors and Factoring by Grouping
346(7)
4.4 Factoring Trinomials
353(14)
4.5 Factoring Special Forms
367(9)
4.6 A General Factoring Strategy
376(7)
4.7 Polynomial Equations, Modeling, and Problem Solving
383(18)
Chapter Project
401(2)
Summary
403(1)
Review Problems
404(3)
Chapter Test
407(1)
Cumulative Review Problems (Chapters 1-4)
408(3)
CHAPTER 5 Rational Expressions, Functions, and Equations
411(90)
5.1 Rational Expressions and Functions: Multiplying and Dividing
412(21)
5.2 Adding and Subtracting Rational Expressions
433(14)
5.3 Dividing Polynomials
447(12)
5.4 Rational Equations, Modeling, and Problem Solving
459(19)
5.5 Modeling Using Variation
478(13)
Chapter Project
491(1)
Summary
492(2)
Review Problems
494(3)
Chapter Test
497(1)
Cumulative Review Problems (Chapters 1-5)
498(3)
CHAPTER 6 Radicals, Radical Functions, and Rational Exponents
501(90)
6.1 Radicals and Radical Functions
502(14)
6.2 Inverse Properties of nth Powers and nth Roots; Rational Exponents
516(12)
6.3 Multiplying and Simplifying Radical Expressions
528(7)
6.4 Dividing and Simplifying Radical Expressions
535(10)
6.5 Further Operations with Radicals
545(11)
6.6 Radical Equations
556(10)
6.7 Imaginary and Complex Numbers
566(15)
Chapter Project
581(1)
Summary
582(2)
Review Problems
584(3)
Chapter Test
587(1)
Cumulative Review Problems (Chapters 1-6)
588(3)
CHAPTER 7 Quadratic Equations and Functions
591(82)
7.1 Solving Quadratic Equations by the Square Root Method
592(16)
7.2 Completing the Square and Graphs of Quadratic Functions
608(12)
7.3 The Quadratic Formula
620(17)
7.4 Problem Solving and Equations That Are Quadratic in Form
637(13)
7.5 Solving Quadratic and Rational Inequalities
650(12)
Chapter Project
662(1)
Summary
663(2)
Review Problems
665(3)
Chapter Test
668(2)
Cumulative Review Problems (Chapters 1-7)
670(3)
CHAPTER 8 Exponential and Logarithmic Functions
673(88)
8.1 Exponential Functions
674(14)
8.2 Composite and Inverse Functions
688(12)
8.3 Logarithmic Functions
700(13)
8.4 Properties of Logarithmic Functions
713(11)
8.5 Solving Exponential and Logarithmic Equations
724(14)
8.6 Modeling with Exponential and Logarithmic Functions
738(11)
Chapter Project
749(2)
Summary
751(1)
Review Problems
752(5)
Chapter Test
757(1)
Cumulative Review Problems (Chapters 1-8)
758(3)
CHAPTER 9 Conic Sections and Nonlinear Systems of Equations
761(50)
9.1 Conic Sections: Circles and Parabolas
762(10)
9.2 Conic Sections: Ellipses and Hyperbolas
772(17)
9.3 Nonlinear Systems of Equations
789(15)
Chapter Project
804(2)
Summary
806(1)
Review Problems
807(2)
Chapter Test
809(1)
Cumulative Review Problems (Chapters 1-9)
809(2)
CHAPTER 10 Polynomial and Rational Functions
811(58)
10.1 Polynomial Functions and their Graphs
812(15)
10.2 Polynomial Equations Having Rational Solutions
827(17)
10.3 Rational Functions
844(17)
Chapter Project
861(2)
Summary
863(1)
Review Problems
864(2)
Chapter Test
866(1)
Cumulative Review Problems (Chapters 1-10)
867(2)
CHAPTER 11 Sequences, Probability, and Mathematical Induction
869
11.1 Sequences and Series
870(14)
11.2 Arithmetic Sequences and Series
884(11)
11.3 Geometric Sequences and Series
895(17)
11.4 The Binomial Theorem
912(8)
11.5 Counting Principles, Permutations, and Combinations
920(13)
11.6 An Introduction to Probability
933(14)
11.7 Mathematical Induction
947(11)
Chapter Project
958(2)
Summary
960(2)
Review Problems
962(6)
Chapter Test
968
APPENDIX Review Problems Covering the Entire BookA1
Answers to Selected ExercisesAA1
IndexI-1
Index of ApplicationsInside front cover
Definitions, Rules, and FormulasInside back cover

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