Product Cover Image

Elementary Algebra: Functions and Authentic Applications, CourseSmart eBook, 2nd Edition

By Jay Lehmann

Published by Pearson

Published Date: Jan 15, 2014

Description

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.


Table of Contents

Preface

To the student

Acknowledgments

Index of applications

 

1. Introduction to Modeling

1.1 Variables and Constants

1.2 Scattergrams

1.3 Exact Linear Relationships

1.4 Approximate Linear Relationships

            Taking it to the Lab: Climate Change Lab * Volume Lab * Linear

            Graphing Lab: Topic of Your Choice

            CHAPTER SUMMARY

            Key Points of Chapter 1

            Chapter 1 Review Exercises

            Chapter 1 Test

 

2. Operations and Expressions

2.1 Expressions

2.2 Operations with Fractions

2.3 Adding Real Numbers

2.4 Change in a Quantity and Subtracting Real Numbers

2.5 Ratios, Percents, and Multiplying and Dividing Real Numbers

2.6 Exponents and Order of Operations

            Taking it to the Lab: Climate Change Lab * Stocks Lab

            CHAPTER SUMMARY

            Key Points of Chapter 2

            Chapter 2 Review Exercises

            Chapter 2 Test

            Cumulative Review of Chapters 1 and 2

 

3. Using Slope to Graph Linear Equations

3.1 Graphing Equations of the Form y = mx + b

3.2 Graphing Linear Models; Unit Analysis

3.3 Slope of a Line

3.4 Using Slope to Graph Linear Equations

3.5 Rate of Change

            Taking it to the Lab: Climate Change Lab * Workout

            Lab * Balloon Lab

            CHAPTER SUMMARY

            Key Points of Chapter 3

            Chapter 3 Review Exercises

            Chapter 3 Test

 

4. Simplifying Expressions and Solving Equations

4.1 Commutative, Associative, and Distributive Laws

4.2 Simplifying Expressions

4.3 Solving Linear Equations in One Variable

4.4 Solving More Linear Equations in One Variable

4.5 Comparing Expressions and Equations

4.6 Formulas

            CHAPTER SUMMARY

            Key Points of Chapter 4

            Chapter 4 Review Exercises

            Chapter 4 Test

            Cumulative Review of Chapters 1—4

 

5. Linear Equations in Two Variables

5.1 Graphing Linear Equations

5.2 Finding Linear Equations

5.3 Finding Equations of Linear Models

5.4 Using Linear Equations to Make Estimates and Predictions

5.5 Solving Linear Inequalities in One Variable

            Taking it to the Lab: Climate Change Lab * Rope Lab * Shadow

            Lab * Linear Equation Lab: Topic of Your Choice

            CHAPTER SUMMARY

            Key Points of Chapter 5

            Chapter 5 Review Exercises

            Chapter 5 Test

 

6. Systems of Linear Equations

6.1 Using Graphs and Tables to Solve Systems

6.2 Using Substitution to Solve Systems

6.3 Using Elimination to Solve Systems

6.4 Using Systems to Model Data

6.5 Perimeter, Value, Interest, and Mixture Problems

6.6 Linear Inequalities in Two Variables; Systems of Linear

            Inequalities in Two Variables

            Taking it to the Lab: Climate Change Lab

            CHAPTER SUMMARY

            Key Points of Chapter 6

            Chapter 6 Review Exercises

            Chapter 6 Test

            Cumulative Review of Chapters 1—6

 

7. Polynomials

7.1 Graphing Quadratic Equations

7.2 Quadratic Models

7.3 Adding and Subtracting Polynomials

7.4 Multiplying Polynomials

7.5 Powers of Polynomials; Product of Binomial Conjugates

7.6 Properties of Exponents

7.7 Negative-Integer Exponents

7.8 Dividing Polynomials

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

            CHAPTER SUMMARY

            Key Points of Chapter 7

            Chapter 7 Review Exercises

            Chapter 7 Test

 

8. Factoring Polynomials and Solving Polynomial Equations

8.1 Factoring Trinomials of the Form x2 + bx + c and Differences of Two Squares

8.2 Factoring Out the GCF; Factoring by Grouping

8.3 Factoring Trinomials of the Form ax2 + bx + c

8.4 Sums and Differences of Cubes; A Factoring Strategy

8.5 Solving Polynomial Equations

8.6 Using Factoring to Make Predictions with Quadratic Models

            CHAPTER SUMMARY

            Key Points of Chapter 8

            Chapter 8 Review Exercises

            Chapter 8 Test

            Cumulative Review of Chapters 1—8

 

9. Solving Quadratic Equations

9.1 Simplifying Radical Expressions

9.2 Simplifying More Radical Expressions

9.3 Solving Quadratic Equations by the Square Root Property; The Pythagorean Theorem

9.4 Solving Quadratic Equations by Completing the Square

9.5 Solving Quadratic Equations by the Quadratic Formula

9.6 More Quadratic Models

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

            CHAPTER SUMMARY

            Key Points of Chapter 9

            Chapter 9 Review Exercises

            Chapter 9 Test

 

10. Rational Expressions and Equations

10.1 Simplifying Rational Expressions

10.2 Multiplying and Dividing Rational Expressions; Converting Units

10.3 Adding Rational Expressions

10.4 Subtracting Rational Expressions

10.5 Solving Rational Equations

10.6 Proportions; Similar Triangles

10.7 Variation

10.8 Simplifying Complex Rational Expressions

            Taking it to the Lab: Climate Change Lab * Estimating p Lab

            CHAPTER SUMMARY

            Key Points of Chapter 10

            Chapter 10 Review Exercises

            Chapter 10 Test

 

11. More Radical Expressions and Equations

11.1 Adding and Subtracting Radical Expressions

11.2 Multiplying Radical Expressions

11.3 Solving Square Root Equations

            CHAPTER SUMMARY

            Key Points of Chapter 11

            Chapter 11 Review Exercises

            Chapter 11 Test

            Cumulative Review of Chapters 1—11

 

A. Using a TI-83 or TI-84 Graphing Calculator

A.1 Turning a Graphing Calculator On or Off

A.2 Making the Screen Lighter or Darker

A.3 Entering an Equation

A.4 Graphing an Equation

A.5 Tracing a Curve without a Scattergram

A.6 Zooming

A.7 Setting the Window Format

A.8 Plotting Points in a Scattergram

A.9 Tracing a Scattergram

A.10 Graphing Equations with a Scattergram

A.11 Tracing a Curve with a Scattergram

A.12 Turning a Plotter On or Off

A.13 Creating a Table

A.14 Creating a Table for Two Equations

A.15 Using “Ask” in a Table

A.16 Plotting Points in Two Scattergrams

A.17 Finding the Intersection Point(s) of Two Curves

A.18 Finding the Minimum or Maximum of a Curve

A.19 Finding any x-Intercepts of a Curve

A.20 Turning an Equation On or Off

A.21 Finding Coordinates of Points

A.22 Entering an Equation by Using Yn References

A.23 Responding to Error Messages

 

Answers to odd-numbered exercises

Index

 

 

Purchase Info ?

With CourseSmart eTextbooks and eResources, you save up to 60% off the price of new print textbooks, and can switch between studying online or offline to suit your needs.

Once you have purchased your eTextbooks and added them to your CourseSmart bookshelf, you can access them anytime, anywhere.

Buy Access

Elementary Algebra: Functions and Authentic Applications, CourseSmart eBook, 2nd Edition
Format: Safari Book

$88.99 | ISBN-13: 978-0-321-86829-9