Intermediate Algebra: Functions & Authentic Applications Plus New Mymathlab W/ Pearson Etext…

Book & Toy | January 12, 2014

byJay Lehmann

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Using authentic data to make math meaningful to students, Jay Lehmann’s algebra series uses a curve-fitting approach to model compelling, real-world situations, while answering the perennial question “But what is this good for?” Beginning with interesting data sets, students are asked to find models and derive equations to fit a scenario, helping them to understand functions graphically, numerically, and symbolically. Updated exercises, labs, and graphs deepen students’ understanding of core concepts and keeps them motivated to learn.

 


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0321927907 / 9780321927903 Intermediate Algebra: Functions & Authentic Applications Plus MyMathLab Access Card

Package consists of:   

0321431308 / 9780321431301 MyMathLab -- Glue-in Access Card

0321654064 / 9780321654069 MyMathLab Inside Star Sticker

0321868196 / 9780321868190 Intermediate Algebra: Functions & Authentic Applications

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From the Publisher

Using authentic data to make math meaningful to students, Jay Lehmann’s algebra series uses a curve-fitting approach to model compelling, real-world situations, while answering the perennial question “But what is this good for?” Beginning with interesting data sets, students are asked to find models and derive equations to fit a scena...

For more than twenty years, Jay Lehmann has taught at College of San Mateo, where he has received the Shiny Apple Award for excellence in teaching. He has worked on a NSF-funded grant to study classroom assessment and has performed research on collaborative directed-discovery learning. Jay has served as the newsletter editor for CMC3 ...

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Format:Book & ToyDimensions:11.1 × 8.8 × 1.2 inPublished:January 12, 2014Publisher:Pearson EducationLanguage:English

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ISBN - 10:0321927907

ISBN - 13:9780321927903

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Extra Content

Table of Contents

Preface

To The Student

Acknowledgments

Index of Applications

 

1. Linear Equations and Linear Functions

1.1 Using Qualitative Graphs to Describe Situations

1.2 Graphing Linear Equations

1.3 Slope of a Line

1.4 Meaning of Slope for Equations, Graphs, and Tables

1.5 Finding Linear Equations

1.6 Functions

            Chapter Summary

            Key Points of Chapter 1

            Chapter 1 Review Exercises

            Chapter 1 Test

 

2. Modeling With Linear Functions

2.1 Using Lines to Model Data

2.2 Finding Equations of Linear Models

2.3 Function Notation and Making Predictions

2.4 Slope Is a Rate of Change

            Taking It to the Lab: Climate Change Lab * Used Car Lab * Golf

            Ball Lab * Walking Student Lab * Linear Model Lab: Topic of Your

            Choice

            Chapter Summary

            Key Points of Chapter 2

            Chapter 2 Review Exercises

            Chapter 2 Test

 

3. Systems of Linear Equations

3.1 Using Graphs and Tables to Solve Systems

3.2 Using Substitution and Elimination to Solve Systems

3.3 Using Systems to Model Data

3.4 Value, Interest, and Mixture Problems

3.5 Using Linear Inequalities in One Variable to Make Predictions

3.6 Linear Inequalities in Two Variables; Systems of Linear Inequalities

            Taking It to the Lab: Climate Change Lab * Sports Lab * Truck Lab

            Chapter Summary

            Key Points of Chapter 3

            Chapter 3 Review Exercises

            Chapter 3 Test

            Cumulative Review of Chapters 1—3

 

4. Exponential Functions

4.1 Properties of Exponents

4.2 Rational Exponents

4.3 Graphing Exponential Functions

4.4 Finding Equations of Exponential Functions

4.5 Using Exponential Functions to Model Data

            Taking It to the Lab: Stringed Instrument Lab * Cooling Water

            Lab * Exponential Lab: Topic of Y our Choice

            Chapter Summary

            Key Points of Chapter 4

            Chapter 4 Review Exercises

            Chapter 4 Test

 

5. Logarithmic Functions

5.1 Composite Functions

5.2 Inverse Functions

5.3 Logarithmic Functions

5.4 Properties of Logarithms

5.5 Using the Power Property with Exponential Models to Make Predictions

5.6 More Properties of Logarithms

5.7 Natural Logarithms

            Taking It to the Lab: China and India Populations Lab

            Folding Paper Lab

            Exponential/Logarithmic Lab: Topic of Your Choice

            Chapter Summary

            Key Points of Chapter 5

            Chapter 5 Review Exercises

            Chapter 5 Test

            Cumulative Review of Chapters 1—5

 

6. Polynomial Functions

6.1 Adding and Subtracting Polynomial Expressions and Functions

6.2 Multiplying Polynomial Expressions and Functions

6.3 Dividing Polynomials: Long Division and Synthetic Division

6.4 Factoring Trinomials of the Form x2 + bx + c; Factoring Out the GCF

6.5 Factoring Polynomials

6.6 Factoring Special Binomials; A Factoring Strategy

6.7 Using Factoring to Solve Polynomial Equations

            Taking It to the Lab: Climate Change Lab * Projectile Lab

            Chapter Summary

            Key Points of Chapter 6

            Chapter 6 Review Exercises

            Chapter 6 Test

 

7. Quadratic Functions

7.1 Graphing Quadratic Functions in Vertex Form

7.2 Graphing Quadratic Functions in Standard Form

7.3 Using the Square Root Property to Solve Quadratic Equations

7.4 Solving Quadratic Equations by Completing the Square

7.5 Using the Quadratic Formula to Solve Quadratic Equations

7.6 Solving Systems of Linear Equations in Three Variables; Finding Quadratic Functions

7.7 Finding Quadratic Models

7.8 Modeling with Quadratic Functions

            Taking It to the Lab: Climate Change Lab

            Projectile Lab

            Projectile Lab (Using a CBR or CBL)

            Water Flow Lab

            Quadratic Lab: Topic of Your Choice

            Chapter Summary

            Key Points of Chapter 7

            Chapter 7 Review Exercises

            Chapter 7 Test

            Cumulative Review of Chapters 1—7

 

8. Rational Functions

8.1 Finding the Domains of Rational Functions and Simplifying Rational Expressions

8.2 Multiplying and Dividing Rational Expressions; Converting Units

8.3 Adding and Subtracting Rational Expressions

8.4 Simplifying Complex Rational Expressions

8.5 Solving Rational Equations

8.6 Modeling with Rational Functions

8.7 Variation

            Taking It to the Lab: Climate Change Lab * Illumination

            Lab * Boyle’s Law Lab

            Chapter Summary

            Key Points of Chapter 8

            Chapter 8 Review Exercises

            Chapter 8 Test

 

9. Radical Functions

9.1 Simplifying Radical Expressions

9.2 Adding, Subtracting, and Multiplying Radical Expressions

9.3 Rationalizing Denominators and Simplifying Quotients of Radical Expressions

9.4 Graphing and Combining Square Root Functions

9.5 Solving Radical Equations

9.6 Modeling with Square Root Functions

            Taking It to the Lab: Pendulum Lab

            Chapter Summary

            Key Points of Chapter 9

            Chapter 9 Review Exercises

            Chapter 9 Test

 

10. Sequences and Series

10.1 Arithmetic Sequences

10.2 Geometric Sequences

10.3 Arithmetic Series

10.4 Geometric Series

            Taking It to the Lab: Bouncing Ball Lab * Stacked Cups Lab

            Chapter Summary

            Key Points of Chapter 10

            Chapter 10 Review Exercises

            Chapter 10 Test

            Cumulative Review of Chapters 1—10

 

11. Additional Topics

11.1 Absolute Value: Equations and Inequalities

            Key Points of Section 11.1

11.2 Performing Operations with Complex Numbers

            Key Points of Section 11.2

11.3 Pythagorean Theorem, Distance Formula, and Circles

            Key Points of Section 11.3

11.4 Ellipses and Hyperbolas

            Key Points of Section 11.4

11.5 Solving Nonlinear Systems of Equations

            Key Points of Section 11.5

 

A. Reviewing Prerequisite Material

A.1 Plotting Points

A.2 Identifying Types of Numbers

A.3 Absolute Value

A.4 Performing Operations with Real Numbers

A.5 Exponents

A.6 Order of Operations

A.7 Constants, Variables, Expressions, and Equations

A.8 Distributive Law

A.9 Combining Like Terms

A.10 Solving Linear Equations in One Variable

A.11 Solving Equations in Two or More Variables

A.12 Equivalent Expressions and Equivalent Equations

 

B. Using a TI-83 or TI-84 Graphing Calculator (available online)

B.1 Turning a Graphing Calculator On or Off

B.2 Making the Screen Lighter or Darker

B.3 Entering an Equation

B.4 Graphing an Equation

B.5 Tracing a Curve without a Scattergram

B.6 Zooming

B.7 Setting the Window Format

B.8 Plotting Points in a Scattergram

B.9 Tracing a Scattergram

B.10 Graphing Equations with a Scattergram

B.11 Tracing a Curve with a Scattergram

B.12 Turning a Plotter On or Off

B.13 Creating a Table

B.14 Creating a Table for Two Equations

B.15 Using “Ask” in a Table

B.16 Finding the Regression Curve for Some Data

B.17 Plotting Points in Two Scattergrams

B.18 Finding the Intersection Point(s) of Two Curves

B.19 Finding the Minimum Point(s) or Maximum Point(s) of a Curve

B.20 Storing a Value

B.21 Finding Any x-Intercepts of a Curve

B.22 Turning an Equation On or Off

B.23 Finding Coordinates of Points

B.24 Graphing Equations with Axes “Turned Off”

B.25 Entering an Equation by Using Yn References

B.26 Responding to Error Messages

 

Answers to Odd-Numbered Exercises

Index