Intermediate Algebra Through Modeling and Visualization

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• ISBN10:

0201610736

• Edition: 1st
• Format: Hardcover
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List of Applications vii
Preface xi
Walkthrough xix
 1 Real Numbers and Algebra
1(71)
 1.1 Describing Data with Sets of Numbers
2(11)
 Group Activity: Working with Real Data
12(1)
 1.2 Operations on Real Numbers
13(11)
 Checking Basic Concepts for Sections 1.1 and 1.2
24(1)
 1.3 Integer Exponents
24(17)
 Group Activity: Working with Real Data
40(1)
 1.4 Modeling Data with Formulas
41(9)
 Checking Basic Concepts for Sections 1.3 and 1.4
50(1)
 1.5 Visualization of Data
50(15)
 Checking Basic Concepts for Section 1.5
64(1)
 CHAPTER 1 SUMMARY
65
 CHAPTER 1 REVIEW EXERCISES
61(15)
 CHAPTER 1 REVIEW EXERCISES
76
 CHAPTER 1 EXTENDED AND DISCOVERY EXERCISES
71(1)
 2 Linear Functions and Model
72(68)
 2.1 Functions and Their Representations
73(15)
 2.2 Linear Functions
88(14)
 Checking Basic Concepts for Sections 2.1 and 2.2
101(1)
 2.3 The Slope of a Line
102(14)
 Group Activity: Working with Real Data
115(1)
 2.4 Equations of Lines and Linear Models
116(15)
 Checking Basic Concepts for Sections 2.3 and 2.4
130(1)
 CHAPTER 2 SUMMARY
131(2)
 CHAPTER 2 REVIEW EXERCISES
133(3)
 CHAPTER 2 TEST
136(2)
 CHAPTER 2 EXTENDED AND DISCOVERY EXERCISES
138(2)
 3 Linear Equations and Inequalities
140(58)
 3.1 Linear Equations
141(14)
 Group Activity: Working with Real Data
155(1)
 3.2 Linear Inequalities
155(12)
 Checking Basic Concepts for Sections 3.1 and 3.2
167(1)
 3.3 Compound Inequalities
167(11)
 Group Activity: Working with Real Data
178(1)
 3.4 Absolute Value Equations and Inequalities
178(10)
 Checking Basic Concepts for Sections 3.3 and 3.4
188(1)
 CHAPTER 3 SUMMARY
188(2)
 CHAPTER 3 REVIEW EXERCISES
190(5)
 CHAPTER 3 TEST
195(1)
 CHAPTER 3 EXTENDED AND DISCOVERY EXERCISES
196(2)
 4 Systems Of Linear Equations
198(76)
 4.1 Systems of Linear Equations in Two Variables
199(12)
 4.2 The Substitution and Elimination Methods
211(12)
 Checking Basic Concepts for Sections 4.1 and 4.2
222(1)
 4.3 Systems of Linear Inequalities
223(9)
 Group Activity: Working with Real Data
232(1)
 4.4 Systems of Equations in Three Variables
232(12)
 Checking Basic Concepts for Sections 4.3 and 4.4
244(1)
 4.5 Matrix Solutions of Linear Systems
244(13)
 Group Activity: Working with Real Data
256(1)
 4.6 Determinants
257(8)
 Checking Basic Concepts for Sections 4.5 and 4.6
265(1)
 CHAPTER 4 SUMMARY
265(2)
 CHAPTER 4 REVIEW EXERCISES
267(4)
 CHAPTER 4 TEST
271(1)
 CHAPTER 4 EXTENDED AND DISCOVERY EXERCISES
272(2)
 5 Polynomial Expressions And Functions
274(66)
 5.1 Polynomial Expressions
275(11)
 Group Activity: Working with Real Data
286(1)
 5.2 Polynomial Functions and Models
286(10)
 Checking Basic Concepts for Sections 5.1 and 5.2
296(1)
 5.3 Multiplication of Polynomials
296(9)
 5.4 Factoring Polynomials
305(8)
 Checking Basic Concepts for Sections 5.3 and 5.4
313(1)
 5.5 Factoring Trinomials
313(10)
 Group Activity: Working with Real Data
322(1)
 5.6 Special Types of Factoring
323(7)
 Checking Basic Concepts for Sections 5.5 and 5.6
330(1)
 CHAPTER 5 SUMMARY
330(2)
 CHAPTER 5 REVIEW EXERCISES
332(3)
 CHAPTER 5 TEST
335(1)
 CHAPTER 5 EXTENDED AND DISCOVERY EXERCISES
336(4)
 6.1 Quadratic Functions and Their Graphs
340(16)
 Group Activity: Working with Real Data
355(1)
356(12)
 Checking Basic Concepts for Sections 6.1 and 6.2
368(1)
368(10)
 Checking Basic Concepts for Sections 6.3 and 6.4
388
378(11)
 Checking Basic Concepts for Sections 6.3 and 6.4
388(1)
 CHAPTER 6 SUMMARY
389(2)
 CHAPTER 6 REVIEW EXERCISES
391(4)
 CHAPTER 6 TEST
395(2)
 CHAPTER 6 EXTENDED AND DISCOVERY EXERCISES
397(2)
 7 Rational Expressions and Functions
399(68)
 7.1 Rational Functions and Equations
400(12)
 Group Activity: Working with Real Data
411(1)
 7.2 Multiplication and Division of Rational Expressions
412(12)
 Checking Basic Concepts for Sections 7.1 and 7.2
424(1)
 7.3 Addition and Subtraction of Rational Expressions
424(10)
 7.4 Modeling with Proportions and Variation
434(15)
 Checking Basic Concepts for Sections 7.3 and 7.4
449(1)
 7.5 Division of Polynomials
449(8)
 Checking Basic Concepts for Section 7.5
457(1)
 CHAPTER 7 SUMMARY
457(2)
 CHAPTER 7 REVIEW EXERCISES
459(4)
 CHAPTER 7 TEST
463(1)
 CHAPTER 7 EXTENDED AND DISCOVERY EXERCISES
464(3)
467(60)
 8.1 Radical Expressions and Rational Exponents
468(11)
479(10)
 Checking Basic Concepts for Sections 8.1 and 8.2
489(1)
489(8)
 Group Activity: Working with Real Data
496(1)
497(13)
 Checking Basic Concepts for Sections 8.3 and 8.4
510(1)
 8.5 Complex Numbers
510(9)
 Checking Basic Concepts for Section 8.5
519(1)
 CHAPTER 8 SUMMARY
519(3)
 CHAPTER 8 REVIEW EXERCISES
522(2)
 CHAPTER 8 TEST
524(1)
 CHAPTER 8 EXTENDED AND DISCOVERY EXERCISES
525(2)
 9 Conic Sections
527
 9.1 Parabolas and Circles
528(12)
 Group Activity: Working with Real Data
540(1)
 9.2 Ellipses and Hyperbolas
540(12)
 Checking Basic Concepts for Sections 9.1 and 9.2
551(1)
 9.3 Nonlinear Systems of Equations and Inequalities
552
 Checking Basic Concepts for Section 9.3
563
 CHAPTER 9 SUMMARY
519(3)
 CHAPTER 9 REVIEW EXERCISES
522(2)
 CHAPTER 9 TEST
524(1)
 CHAPTER 9 EXTENDED AND DISCOVERY EXERCISES
525(49)
10 Exponential and Logarithmic Functions
 10.1 Exponential Functions
574(14)
 Group Activity: Working with Real Data
587(1)
 10.2 Logarithmic Functions
588(11)
 Checking Basic Concepts for Sections 10.1 and 10.2
599(1)
 10.3 Properties of Logarithms
599(8)
 10.4 Exponential and Logarithmic Models
607(13)
 Checking Basic Concepts for Sections 10.3 and 10.4
620(1)
 CHAPTER 10 SUMMARY
620(2)
 CHAPTER 10 REVIEW EXERCISES
622(3)
 CHAPTER 10 TEST
625(1)
 CHAPTER 10 EXTENDED AND DISCOVERY EXERCISES
626(2)
11 Sequences and Series 628
 11.1 Sequences
629(9)
 11.2 Arithmetic and Geometric Sequences
638(12)
 Checking Basic Concepts for Sections 11.1 and 11.2
649(1)
 11.3 Series
650(11)
 Group Activity: Working with Real Data
660(1)
 11.4 The Binomial Theorem
661(6)
 Checking Basic Concepts for Sections 11.3 and 11.4
667(1)
 CHAPTER 11 SUMMARY
667(2)
 CHAPTER 11 REVIEW EXERCISES
669(2)
 CHAPTER 11 TEST
671(1)
 CHAPTER 11 EXTENDED AND DISCOVERY EXERCISES
672