Fundamentals of Algebraic Modeling

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.

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

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Fundamentals of Algebraic Modeling

Summary

Table of Contents

Supplemental Materials