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Intermediate Algebra

ISBN: 9780138508845 | 0138508844
Edition: 3rd
Format: Paperback
Publisher: Prentice Hall
Pub. Date: 1/1/1998

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SummaryTable of Contents
An easy-to-follow approach to intermediate algebra.The book features realistic, relevant application problems, non-routine problems drawn from everyday life, and carefully chosen examples and exercises. It also includes open-ended problems that invites exploration. Includes new applications, written to incorporate more interesting, real-world data in order to increase interest and to help apply the math learned.
Preface to the Studentxiii(10)
Acknowledgmentsxxiii(2)
Diagnostic Pretestxxv
CHAPTER 1 Basic Concepts
1(56)
Pretest C... MORE2(1)
1.1 The Real Number System
3(7)
1.2 Operations with Real Numbers
10(8)
1.3 Powers, Square Roots, and the Order of Operations
18(7)
1.4 Integer Exponents and Scientific Notation
25(11)
1.5 Operations with Variables and Grouping Symbols
36(6)
1.6 Evaluating Variable Expressions and Formulas
42(8)
Putting Your Skills to Work: The Mathematics of the Planets
50(1)
Chapter Organizer
51(2)
Chapter 1 Review Problems
53(2)
Chapter 1 Test
55(2)
CHAPTER 2 Linear Equations and Inequalities
57(72)
Pretest Chapter 258(2)
2.1 First-degree Equations with One Unknown
60(8)
2.2 Literal Equations and Formulas
68(6)
2.3 Absolute Value Equations
74(5)
Putting Your Skills to Work: The Mathematics of Fuel Efficiency
79(1)
2.4 Using Equations to Solve Word Problems
80(8)
2.5 Solving More Involved Word Problems
88(8)
2.6 Inequalities
96(10)
2.7 Compound Inequalities
106(6)
2.8 Absolute Value Inequalities
112(8)
Chapter Organizer
120(2)
Chapter 2 Review Problems
122(5)
Cumulative Test for Chapters 1 and 2
127(2)
CHAPTER 3 Equations, Inequalities, and Functions
129(68)
Pretest Chapter 3130(2)
3.1 Graphing Linear Equations with Two Unknowns
132(9)
3.2 Slope of a Line
141(8)
3.3 Graphs and the Equations of a Line
149(9)
Putting Your Skills to Work: Determining the Demand for a Product
158(1)
3.4 Linear Inequalities in Two Variables
159(6)
3.5 Concept of a Function
165(8)
3.6 Graphing Functions from Equations and Tables
173(14)
Chapter Organizer
187(2)
Chapter 3 Review Problems
189(4)
Chapter 3 Test
193(2)
Cumulative Test for Chapters 1-3
195(2)
CHAPTER 4 Systems of Linear Equations and Inequalities
197(72)
Pretest Chapter 4198(2)
4.1 Systems of Equations in Two Variables
200(13)
Putting Your Skills to Work: The Mathematics of Bricklaying
213(1)
4.2 Systems of Equations in Three Variables
214(7)
4.3 Applications of Systems of Linear Equations
221(12)
4.4 Determinants
233(9)
4.5 Cramer's Rule (Optional)
242(10)
4.6 Systems of Linear Inequalities
252(7)
Chapter Organizer
259(3)
Chapter 4 Review Problems
262(3)
Chapter 4 Test
265(2)
Cumulative Test for Chapters 1-4
267(2)
CHAPTER 5 Polynomials
269(64)
Pretest Chapter 5270(2)
5.1 Addition, Subtraction, and Multiplication of Polynomials
272(7)
5.2 Division of Polynomials
279(6)
5.3 Synthetic Division
285(4)
5.4 Removing Common Factors; Factoring by Grouping
289(6)
5.5 Factoring Trinomials
295(9)
5.6 Special Cases of Factoring
304(7)
5.7 Completely Factoring a Polynomial
311(4)
5.8 Solving Equations and Problems Using Polynomials
315(9)
Putting Your Skills to Work: Using Polynomials to Count Cannonballs
324(1)
Chapter Organizer
325(1)
Chapter 5 Review Problems
326(3)
Chapter 5 Test
329(2)
Cumulative Test for Chapters 1-5
331(2)
CHAPTER 6 Rational Algebraic Expressions and Equations
333(50)
Pretest Chapter 6334(1)
6.1 Simplifying, Multiplying, and Dividing Rational Expressions
335(8)
6.2 Addition and Subtraction of Rational Expressions
343(8)
6.3 Complex Rational Expressions
351(6)
6.4 Rational Equations
357(6)
6.5 Applications: Formulas and Ratio Problems
363(9)
Putting Your Skills to Work: Signal Strength of Cell Phones
372(1)
Chapter Organizer
373(2)
Chapter 6 Review Problems
375(4)
Chapter 6 Test
379(2)
Cumulative Test for Chapters 1-6
381(2)
CHAPTER 7 Rational Exponents and Radicals
383(60)
Pretest Chapter 7384(1)
7.1 Rational Exponents
385(6)
7.2 Radical Expressions
391(7)
7.3 Simplifying, Adding, and Subtracting Radicals
398(5)
7.4 Multiplication and Division of Radicals
403(10)
7.5 Radical Equations
413(5)
7.6 Complex Numbers
418(7)
7.7 Variation
425(7)
Chapter Organizer
432(3)
Putting Your Skills to Work: Determining the Rate of Depreciation
435(1)
Chapter 7 Review Problems
436(3)
Chapter 7 Test
439(2)
Cumulative Test for Chapters 1-7
441(2)
CHAPTER 8 Quadratic Equations and Inequalities
443(60)
Pretest Chapter 8444(2)
8.1 Solving Quadratic Equations by Taking Square Roots or Completing the Square
446(7)
8.2 The Quadratic Formula
453(9)
8.3 Equations That Can Be Transformed to Quadratic Form
462(6)
8.4 Formulas and Applications
468(11)
Putting Your Skills to Work: A Mathematical Look at Traffic Flow
479(1)
8.5 Quadratic Functions
480(6)
8.6 Quadratic Inequalities
486(6)
Chapter Organizer
492(3)
Chapter 8 Review Problems
495(4)
Chapter 8 Test
499(2)
Cumulative Test for Chapters 1-8
501(2)
CHAPTER 9 The Conic Sections
503(54)
Pretest Chapter 9504(2)
9.1 The Distance Formula and the Circle
506(8)
9.2 The Parabola
514(11)
9.3 The Ellipse
525(7)
9.4 The Hyperbola
532(9)
9.5 Nonlinear Systems of Equations
541(6)
Putting Your Skills to Work: Tracking the Path of a Comet
547(1)
Chapter Organizer
548(3)
Chapter 9 Review Problems
551(2)
Chapter 9 Test
553(2)
Cumulative Test for Chapters 1-9
555(2)
CHAPTER 10 Functions
557(52)
Pretest Chapter 10558(2)
10.1 Function Notation
560(6)
10.2 General Graphing Procedures for Functions
566(9)
10.3 Algebraic Operations on Functions
575(9)
10.4 Inverse of a Function
584(11)
Chapter Organizer
595(3)
Putting Your Skills to Work: The Temperature Function for Plant Life
598(2)
Chapter 10 Review Problems
600(5)
Chapter 10 Test
605(2)
Cumulative Test for Chapters 1-10
607(2)
CHAPTER 11 Logarithmic and Exponential Functions
609(58)
Pretest Chapter 11610(1)
11.1 The Exponential Function
611(11)
11.2 The Logarithmic Function
622(8)
11.3 Properties of Logarithms
630(8)
11.4 Finding Logarithmic Function Values on a Calculator
638(7)
11.5 Exponential and Logarithmic Equations
645(11)
Putting Your Skills to Work: Measuring the Doubling Time
656(2)
Chapter Organizer
658(2)
Chapter 11 Review Problems
660(3)
Chapter 11 Test
663(2)
Cumulative Test for Chapters 1-11
665(2)
Practice Final Examination667
GlossaryG-1
Appendix A: Table of Square RootsA-1
Table of Exponential ValuesA-2
Appendix B: Solving Systems of Linear Equations Using MatricesA-3
SOLUTIONS TO PRACTICE PROBLEMSSP-1
SELECTED ANSWERSSA-1
Applications IndexI-1
IndexI-5
Photo CreditsP-1

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