Elementary and Intermediate Algebra Functions and Authentic Applications

ISBN-10: 0321621077
ISBN-13: 9780321621078
Edition: 2011
Author(s): Jay Lehmann
Description: Unique in its approach, the Lehmann Algebra Series uses curve fitting to model compelling, authentic situations, while answering the perennial question "But what is this good for?" Lehmann begins with interesting data sets, and then uses the data to  More...
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List Price: $132.99
Copyright Year: 2011
Publisher: Pearson Education, Limited
Publication Date: 1/6/2010
Binding: Hardcover
Pages: 1040
Size: 8.50" wide x 11.00" long x 1.50" tall
Weight: 5.236
Language: English

Unique in its approach, the Lehmann Algebra Series uses curve fitting to model compelling, authentic situations, while answering the perennial question "But what is this good for?" Lehmann begins with interesting data sets, and then uses the data to find models and derive equations that fit the scenario. This interactive approach to the data helps students connect concepts and motivates them to learn. The curve-fitting approach encourages students to understand functions graphically, numerically, and symbolically. Because of the multi-faceted understanding that they gain, students are able to verbally describe the concepts related to functions.

Introduction to Modeling
Variables and Constants
Scattergrams
Exact Linear Relationships
Approximate Linear Relationships
Taking It to the Lab
Chapter Summary
Key Points of Chapter
Chapter 1 Review Exercises
Chapter 1 Test
Operations and Expressions
Expressions
Operations with Fractions
Adding Real Numbers
Change in a Quantity and Subtracting Real Numbers
Ratios, Percents, and Multiplying and Dividing Real Numbers
Exponents and Order of Operations
Taking It to the Lab
Chapter Summary
Key Points of Chapter
Chapter 2 Review Exercises
Chapter 2 Test
Cumulative Review of Chapters 1 and
Using the Slope to Graph Linear Equations
Graphing Equations of the Form y = mx + b
Graphing Linear Models; Unit Analysis
Slope of a Line
Using the Slope to Graph Linear Equations
Rate of Change
Taking It to the Lab
Chapter Summary
Key Points of Chapter
Chapter 3 Review Exercises
Chapter 3 Test
Simplifying Expressions and Solving Equations
Commutative, Associative, and Distributive Laws
Simplifying Expressions
Solving Linear Equations in One Variable
Solving More Linear Equations in One Variable
Comparing Expressions and Equations
Formulas
Chapter Summary
Key Points of Chapter
Chapter 4 Review Exercises
Chapter 4 Test
Cumulative Review of Chapters 1
Linear Functions and Linear Inequalities in One Variable
Graphing Linear Equations
Functions
Function Notation
Finding Linear Equations
Finding Equations of Linear Models
Using Function Notation with Linear Models to Make Estimates and Predictions
Solving Linear Inequalities in One Variable
Taking It to the Lab
Chapter Summary
Key Points of Chapter
Chapter 5 Review Exercises
Chapter 5 Test
Systems of Linear Equations and Systems of Linear Inequalities
Using Graphs and Tables to Solve Systems
Using Substitution to Solve Systems
Using Elimination to Solve Systems
Using Systems to Model Data
Perimeter, Value, Interest, and Mixture Problems
Linear Inequalities in Two Variables; Systems of Linear Inequalities in Two Variables
Taking It to the Lab
Chapter Summary
Key Points of Chapter
Chapter 6 Review Exercises
Chapter 6 Test
Cumulative Review of Chapters 1
Polynomial Functions and Properties of Exponents
Adding and Subtracting Polynomial Expressions and Functions
Multiplying Polynomial Expressions and Functions
Powers of Polynomials; Product of Binomial Conjugates
Properties of Exponents
Taking It to the Lab
Chapter Summary
Key Points of Chapter
Chapter 7 Review Exercises
Chapter 7 Test
Making Sure You're Ready for Intermediate Algebra: A Review of Chapters 1
Factoring Polynomials and Solving Polynomial Equations
Factoring Trinomials of the Form x2+bx+c and Differences of Two Squares
Factoring Out the GCF; Factoring by Grouping
Factoring Trinomials of the Form ax2+bx+c
Sums and Differences of Cubes; A Factoring Strategy
Using Factoring to Solve Polynomial Equations
Using Factoring to Make Predictions with Quadratic Models
Chapter Summary
Key Points of Chapter
Chapter 8 Review Exercises
Chapter 8 Test
Making Sure You're Ready for Intermediate Algebra: A Review of Chapters 1
Quadratic Functions
Graphing Quadratic Functions in Vertex Form
Graphing Quadratic Functions in Standard Form
Simplifying Radical Expressions
Using the Square Root Property to Solve Quadratic Equations
Solving Quadratic Equations by Completing the Square
Using the Quadratic Formula to Solve Quadratic Equations
Solving Systems of Linear Equations in Three Variables; Finding Quadratic Functions
Finding Quadratic Models
Modeling with Quadratic Functions
Taking It to the Lab
Chapter Summary
Key Points of Chapter
Chapter 9 Review Exercises
Chapter 9 Test
Cumulative Review of Chapters 1
Exponential Functions
Integer Exponents
Rational Exponents
Graphing Exponential Functions
Finding Equations of Exponential Functions
Modeling with Exponential Functions
Taking It to the Lab
Chapter Summary
Key Points of Chapter
Chapter 10 Review Exercises
Chapter 10 Test
Logarithmic Functions
Inverse Functions
Logarithmic Functions
Properties of Logarithms
Using the Power Property with Exponential Models to Make Predictions
More Properties of Logarithms
Natural Logarithms
Taking It to the Lab
Chapter Summary
Key Points of Chapter
Chapter 11 Review Exercises
Chapter 11 Test
Cumulative Review of Chapters 1
Rational Functions
Finding the Domains of Rational Functions and Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions
Simplifying Complex Rational Expressions
Solving Rational Equations
Modeling with Rational Functions
Proportions; Similar Triangles
Variation
Taking It to the Lab
Chapter Summary
Key Points of Chapter
Chapter 12 Review Exercises
Chapter 12 Test
Radical Functions
Simplifying Radical Expressions
Adding, Subtracting, and Multiplying Radical Expressions
Rationalizing Denominators and Simplifying Quotients of Radical Expressions
Graphing and Combining Square Root Functions
Solving Radical Equations
Modeling with Square Root Functions
Taking It to the Lab
Chapter Summary
Key Points of Chapter
Chapter 13 Review Exercises
Chapter 13 Test
Sequences and Series
Arithmetic Sequences
Geometric Sequences
Arithmetic Series
Geometric Series
Taking It to the Lab
Chapter Summary
Key Points of Chapter
Chapter 14 Review Exercises
Chapter 14 Test
Cumulative Review of Chapters 1
Additional Topics
Absolute Value: Equations and Inequalities
Performing Operations with Complex Numbers
Pythagorean Theorem, Distance Formula, and Circles
Ellipses and Hyperbolas
Solving Nonlinear Systems of Equations
Using a TI-83/84 Graphing Calculator

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