Beginning and Intermediate Algebra: The Language and Symbolism of Mathematics / Edition 2

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Overview

Intended for schools that want a single text covering the standard topics from Beginning and Intermediate Algebra. Topics are organized by using the principles of the AMATYC standards as a guide, giving strong support to teachers using the text. The book's organization and pedagogy are designed to work for students with a variety of learning styles and for teachers with varied experiences and backgrounds. The inclusion of multiple perspectives -- verbal, numerical, algebraic, and graphical -- has proven popular with a broad cross section of students. Use of a graphing calculator is assumed. BEGINNING AND INTERMEDIATE ALGEBRA: THE LANGUAGE AND SYMBOLISM OF MATHEMATICS is a reform-oriented book.

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Product Details

  • ISBN-13: 9780073229713
  • Publisher: McGraw-Hill Companies, The
  • Publication date: 1/26/2007
  • Edition description: REV
  • Edition number: 2
  • Pages: 976
  • Product dimensions: 8.70 (w) x 11.20 (h) x 1.57 (d)

Meet the Author

James Hall
James Hall

JAMES W. HALL is an Edgar and Shamus Award–winning author whose books have been translated into a dozen languages. He has written four books of poetry, a collection of short fiction, and a collection of essays. This is his fifteenth novel. He and his wife, Evelyn, divide their time between South Florida and North Carolina.

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Table of Contents

Chapter One: Review of Beginning Algebra

1.1 Preparing for an Algebra Class

1.2 The Real Number Line

1.3 Addition of Real Numbers

1.4 Subtraction of Real Numbers

1.5 Multiplication of Real Numbers and Natural Number Exponents

1.6 Division of Real Numbers

1.7 Order of Operations

Chapter Two: Linear Equations and Patterns

2.1 The Rectangular Coordinate System and Arithmetic Sequences

2.2 Function Notation and Linear Functions

2.3 Graphs of Linear Equations in Two Variables

2.4 Solving Linear Equations in One Variable Using the Addition- Subtraction Principle

2.5 Solving Linear Equations in One Variable Using the Multiplication-Division Principle

2.6 Using and Rearranging Formulas

2.7 Proportions and Direct Variation

2.8 More Applications of Linear Equations

Chapter Three: Lines and Systems of Linear Equations in Two Variables

3.1 Slope of a Line and Applications of Slope

3.2 Special Forms of Linear Equations in Two Variables

3.3 Solving Systems of Linear Equations in Two Variables Graphically and Numerically

3.4 Solving Systems of Linear Equations in Two Variables by the Substitution Method

3.5 Solving Systems of Linear Equations in Two Variables by the Addition Method

3.6 More Applications of Linear Systems Cumulative Review of Chapters 1-3

Chapter Four: Linear Inequalities and Systems of Linear Inequalities

4.1 Solving Linear Inequalities Using the Addition-Subtraction Principle

4.2 Solving Linear Inequalities Using the Multiplication-Divison Principle

4.3 Solving Compound Inequalities

4.4 Solving Absolute Value Equations and Inequalities

4.5Graphing Systems of Linear Inequalities in Two Variables

Chapter Five: Exponents and Operations with Polynomials

5.1 Product and Power Rules for Exponents

5.2 Quotient Rule and Zero Exponents

5.3 Negative Exponents and Scientific Notation

5.4 Adding and Subtracting Polynomials

5.5 Multiplying Polynomials

5.6 Dividing Polynomials

5.7 Special Products and Factors Cumulative Review of Chapters 1-5

Chapter Six: Factoring Polynomials

6.1 An Introduction to Factoring

6.2 Factoring Trinomials of the Form x2 + bx + c

6.3 Factoring Trinomials of the Form ax2 + bx + c

6.4 Factoring Special Forms

6.5 A General Strategy for Factoring Polynomials

6.6 Solving Equations by Factoring

Chapter Seven: Quadratic Functions

7.1 Functions and Representations of Functions

7.2 Quadratic Functions,Parabolas and Modeling Using Quadratic Equations

7.3 Solving Quadratic Equations and Inequalities by Factoring

7.4 Using the Quadratic Formula to find Real Solutions

7.5 More Applications of Quadratic Equations

7.6 Complex Numbers

7.7 Solving Quadratic Equations with Complex Solutions

Chapter Eight: Rational Functions

8.1 Properties of the Graphs of Rational Functions and Reducing Rational Expressions

8.2 Multiplying and Dividing Rational Expressions

8.3 Adding and Subtracting Rational Expressions

8.4 Combining Operations and Simplifying Complex Rational Expressions

8.5 Solving Equations Containing Rational Expressions

8.6 Inverse and Joint Variation and Other Applications Yielding Equations with Fractions Cumulative Review of Chapters 1-8

Chapter Nine: Square Root and Cube Root Functions and Rational Exponents

9.1 Evaluating Radical Expressions and Graphing Square Root and Cube Root Functions

9.2 Adding and Subtracting Radical Expressions

9.3 Multiplying and Dividing Radical Expressions

9.4 Solving Equations Containing Radical Expressions

9.5 Rational Exponents and Radicals

Chapter Ten: Exponential and Logarithmic Functions

10.1 Geometric Sequences and Properties of the Graphs of Exponential Functions

10.2 Inverse Functions

10.3 Logarithmic Functions

10.4 Evaluating Logarithms

10.5 Properties of Logarithms

10.6 Solving Exponential and Logarithmic Equations

10.7 Exponential Curve Fitting and Other Applications of Exponential and Logarithmic Equations Cumulative Review of Chapters 1-10

Chapter Eleven: A Preview of College Algebra

11.1 Solving Systems of Linear Equations Using Augmented Matrices

11.2 Systems of Linear Equations in Three Variables

11.3 Horizontal and Vertical Translations of the Graphs of Functions

11.4 Stretching, Shrinking and Reflecting Graphs of Functions

11.5 Algebra of Functions

11.6 Sequences, Series and Summation Notation

11.7 Conic Sections
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