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9780030343964

Fundamentals of Algebraic Modeling

by ; ;
  • ISBN13:

    9780030343964

  • ISBN10:

    0030343968

  • Format: Paperback
  • Copyright: 2001-12-06
  • Publisher: Brooks Cole

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Summary

Timmons, Johnson, and McCook provide an applied text for intermediate algebra students not continuing in math and science. Students are encouraged to develop and test mathematical models in a variety of real-world applications such as personal finance and home decorating. The use of technology is introduced, although not required, through end-of-chapter lab exercises.

Table of Contents

Preface v
Keys to Success xv
A Review of Algebra Fundamentals
1(40)
Mathematical Models
2(2)
Real Numbers and Mathematical Equations
4(7)
Solving Linear Equations
11(5)
Formulas
16(3)
Ratio and Proportion
19(6)
Word Problem Strategies
25(16)
Chapter Summary
33(1)
Chapter Review Problems
34(2)
Chapter Test
36(2)
Suggested Laboratory Exercises
38(3)
Graphing
41(42)
The Rectangular Coordinate System
42(5)
Graphing Linear Equations
47(5)
Slope
52(12)
Writing Equations of Lines
64(6)
Linear Inequalities
70(13)
Chapter Summary
74(1)
Chapter Review Problems
75(1)
Chapter Test
76(1)
Suggested Laboratory Exercises
77(6)
Functions
83(42)
Functions
84(7)
Using Function Notation
91(4)
Linear Functions
95(5)
Direct and Inverse Variation
100(6)
Nonlinear Functions
106(19)
Chapter Summary
115(1)
Chapter Review Problems
116(3)
Chapter Test
119(2)
Suggested Laboratory Exercises
121(4)
Applications of Functions
125(44)
Geometric Applications-Perimeter and Area
126(6)
Geometric Applications-Right Triangles
132(4)
Mathematical Models in Personal Finance
136(5)
Mathematical Models in Banking and Finance
141(10)
Mathematical Models in Business
151(5)
Mathematical Models in Science and Technology
156(13)
Chapter Summary
163(1)
Chapter Review Problems
164(2)
Chapter Test
166(1)
Suggested Laboratory Exercises
167(2)
Systems of Equations
169(34)
Solving Systems by Graphing
170(7)
Solving Systems Algebraically
177(6)
Solving Systems with Cramer's Rule
183(4)
Applications of Linear Systems
187(5)
Systems of Nonlinear Functions
192(11)
Chapter Summary
196(1)
Chapter Review Problems
197(2)
Chapter Test
199(1)
Suggested Laboratory Exercises
200(3)
Probability Models
203(40)
What Is Probability?
204(3)
Theoretical Probability
207(8)
Odds
215(2)
Counting Problems and Tree Diagrams
217(4)
Or and And Problems
221(5)
Permutations and Combinations
226(6)
Applied Probability Problems
232(11)
Chapter Summary
236(1)
Chapter Review Problems
237(2)
Chapter Test
239(2)
Suggested Laboratory Exercises
241(2)
Modeling With Statistics
243(50)
An Introduction to Statistics
244(4)
Descriptive Statistics
248(7)
Organizing and Displaying Data
255(8)
Variation
263(5)
The Normal Curve
268(11)
Scatter Diagrams and Linear Regression
279(14)
Chapter Summary
285(1)
Chapter Review Problems
286(1)
Chapter Test
287(2)
Suggested Laboratory Exercises
289(4)
Appendix I: Commonly Used Calculator Keys 293(2)
Appendix IA: Mathematics Calculator Practice: What Do These Keys Do? 295(2)
Appendix II: Formulas Used in This Text 297(2)
Appendix III: Levels of Data in Statistics 299
Problem Answer Key: All Problems A-1
Index Index I-1

Supplemental Materials

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

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