Intermediate Algebra Through Modeling and Visualization

by Rockswold, Gary K.

• ISBN13: 9780201610734
• ISBN10: 0201610736
• Edition: 1st
• Format: Hardcover
• Copyright: 2002-01-01
• Publisher: Addison Wesley

Table of Contents

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 Quadratic Functions and Equations
6.1 Quadratic Functions and Their Graphs	340	(16)
Group Activity: Working with Real Data	355	(1)
6.2 Quadratic Equations	356	(12)
Checking Basic Concepts for Sections 6.1 and 6.2	368	(1)
6.3 The Quadratic Formula	368	(10)
Checking Basic Concepts for Sections 6.3 and 6.4	388
6.4 Quadratic Inequalities	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)
8 Radical Expressions and Functions	467	(60)
8.1 Radical Expressions and Rational Exponents	468	(11)
8.2 Radical Functions	479	(10)
Checking Basic Concepts for Sections 8.1 and 8.2	489	(1)
8.3 Operations on Radical Expressions	489	(8)
Group Activity: Working with Real Data	496	(1)
8.4 Equations Involving Radical Expressions	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
Answers to Selected Exercises	A-1
Glossary	G-1
Index	I-1
Bibliography	B-1
Graphing Calculator Laboratory Manual Topics	GC-1