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Cover type: Hardback

Edition: 8TH 10

Copyright: 2010

Publisher: Addison-Wesley Longman, Inc.

Published: 2010

International: No

Edition: 8TH 10

Copyright: 2010

Publisher: Addison-Wesley Longman, Inc.

Published: 2010

International: No

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This text is for a one-term course in intermediate algebra, for students who have had a previous elementary algebra course. A five- step problem-solving process is introduced, and interesting applications are used to motivate students. Coverage progresses from graphs, functions, and linear equations to sequences, series, and the binomial theorem. New to this edition are sections on connecting concepts, study tips, and exercises designed to foster intuitive problem solving. Bittinger teaches at Indiana University; Ellenbogen at Community College of Vermont.

Table of Contents

1. Algebraic and Problem Solving

Some Basics of Algebra

Operations and Properties of Real Numbers

Solving Equations

Introduction to Problem Solving

Formulas, Models, and Geometry

Properties of Exponents

Scientific Notation

2. Graphs, Functions, and Linear Equations

Graphs

Functions

Linear Functions: Slope, Graphs, and Models

Another Look at Linear Graphs

Other Equations of Lines

The Algebra of Functions

3. Introduction to Graphing

Systems of Equations in Two Variables

Solving by Substitution or Elimination

Solving Applications: Systems of Two Equations

Systems of Equations in Three Variables

Solving Applications: Systems of Three Variables

Elimination Using Matrices

Determinants and Cramer's Rule

Business and Economics Applications

4. Inequalities and Problem Solving

Inequalities and Applications

Intersections, Unions, and Compound Inequalities

Absolute-Value Equations and Inequalities

Inequalities in Two Variables

Applications Using Linear Programming

5. Polynomials and Polynomial Functions

Introduction to Polynomials and Polynomial Functions

Multiplication of Polynomials

Common Factors and Factoring by Grouping

Factoring Trinomials

Factoring Perfect-Square Trinomials and Differences of Squares

Factoring Sums or Differences of Cubes

Factoring: A General Strategy

Applications of Polynomial Equations

6. Rational Expressions, Equations, and Functions

Rational Expressions and Functions: Multiplying and Dividing

Rational Expressions and Functions: Adding and Subtracting

Complex Rational Expressions

Rational Equations

Solving Applications Using Rational Equations

Division of Polynomials

Synthetic Division

Formulas, Applications, and Variation

7. Exponents and Radicals

Radical Expressions and Functions

Rational Numbers as Exponents

Multiplying Radical Expressions

Dividing Radical Expressions

Expressions Containing Several Radical Terms

Solving Radical Equations

The Distance and Midpoint Formulas and Other Applications

The Complex Numbers

8. Quadratic Functions and Equations

Quadratic Equations

The Quadratic Formula

Studying Solutions of Quadratic Equations

Applications Involving Quadratic Equations

Equations Reducible to Quadratic

Quadratic Functions and Their Graphs

More About Graphing Quadratic Functions

Problem Solving and Quadratic Functions

Polynomial and Rational Inequalities

9. Exponential and Logarithmic Functions

Composite and Inverse Functions

Exponential Functions

Logarithmic Functions

Properties of Logarithmic Functions

Common and Natural Logarithms

Solving Exponential and Logarithmic Equations

Applications of Exponential and Logarithmic Functions

10. Conic Sections

Conic Sections: Parabolas and Circles

Conic Sections: Ellipses

Conic Sections: Hyperbolas

Nonlinear Systems of Equations

11. Sequences, Series, and the Binomial Theorem

Sequences and Series

Arithmetic Sequences and Series

Geometric Sequences and Series

The Binomial Theorem

Appendix: The Graphing Calculator

Answers A-1

Glossary EM-1

Index EM-6

Index of Applications EM-13

Summary

This text is for a one-term course in intermediate algebra, for students who have had a previous elementary algebra course. A five- step problem-solving process is introduced, and interesting applications are used to motivate students. Coverage progresses from graphs, functions, and linear equations to sequences, series, and the binomial theorem. New to this edition are sections on connecting concepts, study tips, and exercises designed to foster intuitive problem solving. Bittinger teaches at Indiana University; Ellenbogen at Community College of Vermont.

Table of Contents

Table of Contents

1. Algebraic and Problem Solving

Some Basics of Algebra

Operations and Properties of Real Numbers

Solving Equations

Introduction to Problem Solving

Formulas, Models, and Geometry

Properties of Exponents

Scientific Notation

2. Graphs, Functions, and Linear Equations

Graphs

Functions

Linear Functions: Slope, Graphs, and Models

Another Look at Linear Graphs

Other Equations of Lines

The Algebra of Functions

3. Introduction to Graphing

Systems of Equations in Two Variables

Solving by Substitution or Elimination

Solving Applications: Systems of Two Equations

Systems of Equations in Three Variables

Solving Applications: Systems of Three Variables

Elimination Using Matrices

Determinants and Cramer's Rule

Business and Economics Applications

4. Inequalities and Problem Solving

Inequalities and Applications

Intersections, Unions, and Compound Inequalities

Absolute-Value Equations and Inequalities

Inequalities in Two Variables

Applications Using Linear Programming

5. Polynomials and Polynomial Functions

Introduction to Polynomials and Polynomial Functions

Multiplication of Polynomials

Common Factors and Factoring by Grouping

Factoring Trinomials

Factoring Perfect-Square Trinomials and Differences of Squares

Factoring Sums or Differences of Cubes

Factoring: A General Strategy

Applications of Polynomial Equations

6. Rational Expressions, Equations, and Functions

Rational Expressions and Functions: Multiplying and Dividing

Rational Expressions and Functions: Adding and Subtracting

Complex Rational Expressions

Rational Equations

Solving Applications Using Rational Equations

Division of Polynomials

Synthetic Division

Formulas, Applications, and Variation

7. Exponents and Radicals

Radical Expressions and Functions

Rational Numbers as Exponents

Multiplying Radical Expressions

Dividing Radical Expressions

Expressions Containing Several Radical Terms

Solving Radical Equations

The Distance and Midpoint Formulas and Other Applications

The Complex Numbers

8. Quadratic Functions and Equations

Quadratic Equations

The Quadratic Formula

Studying Solutions of Quadratic Equations

Applications Involving Quadratic Equations

Equations Reducible to Quadratic

Quadratic Functions and Their Graphs

More About Graphing Quadratic Functions

Problem Solving and Quadratic Functions

Polynomial and Rational Inequalities

9. Exponential and Logarithmic Functions

Composite and Inverse Functions

Exponential Functions

Logarithmic Functions

Properties of Logarithmic Functions

Common and Natural Logarithms

Solving Exponential and Logarithmic Equations

Applications of Exponential and Logarithmic Functions

10. Conic Sections

Conic Sections: Parabolas and Circles

Conic Sections: Ellipses

Conic Sections: Hyperbolas

Nonlinear Systems of Equations

11. Sequences, Series, and the Binomial Theorem

Sequences and Series

Arithmetic Sequences and Series

Geometric Sequences and Series

The Binomial Theorem

Appendix: The Graphing Calculator

Answers A-1

Glossary EM-1

Index EM-6

Index of Applications EM-13

Publisher Info

Publisher: Addison-Wesley Longman, Inc.

Published: 2010

International: No

Published: 2010

International: No

1. Algebraic and Problem Solving

Some Basics of Algebra

Operations and Properties of Real Numbers

Solving Equations

Introduction to Problem Solving

Formulas, Models, and Geometry

Properties of Exponents

Scientific Notation

2. Graphs, Functions, and Linear Equations

Graphs

Functions

Linear Functions: Slope, Graphs, and Models

Another Look at Linear Graphs

Other Equations of Lines

The Algebra of Functions

3. Introduction to Graphing

Systems of Equations in Two Variables

Solving by Substitution or Elimination

Solving Applications: Systems of Two Equations

Systems of Equations in Three Variables

Solving Applications: Systems of Three Variables

Elimination Using Matrices

Determinants and Cramer's Rule

Business and Economics Applications

4. Inequalities and Problem Solving

Inequalities and Applications

Intersections, Unions, and Compound Inequalities

Absolute-Value Equations and Inequalities

Inequalities in Two Variables

Applications Using Linear Programming

5. Polynomials and Polynomial Functions

Introduction to Polynomials and Polynomial Functions

Multiplication of Polynomials

Common Factors and Factoring by Grouping

Factoring Trinomials

Factoring Perfect-Square Trinomials and Differences of Squares

Factoring Sums or Differences of Cubes

Factoring: A General Strategy

Applications of Polynomial Equations

6. Rational Expressions, Equations, and Functions

Rational Expressions and Functions: Multiplying and Dividing

Rational Expressions and Functions: Adding and Subtracting

Complex Rational Expressions

Rational Equations

Solving Applications Using Rational Equations

Division of Polynomials

Synthetic Division

Formulas, Applications, and Variation

7. Exponents and Radicals

Radical Expressions and Functions

Rational Numbers as Exponents

Multiplying Radical Expressions

Dividing Radical Expressions

Expressions Containing Several Radical Terms

Solving Radical Equations

The Distance and Midpoint Formulas and Other Applications

The Complex Numbers

8. Quadratic Functions and Equations

Quadratic Equations

The Quadratic Formula

Studying Solutions of Quadratic Equations

Applications Involving Quadratic Equations

Equations Reducible to Quadratic

Quadratic Functions and Their Graphs

More About Graphing Quadratic Functions

Problem Solving and Quadratic Functions

Polynomial and Rational Inequalities

9. Exponential and Logarithmic Functions

Composite and Inverse Functions

Exponential Functions

Logarithmic Functions

Properties of Logarithmic Functions

Common and Natural Logarithms

Solving Exponential and Logarithmic Equations

Applications of Exponential and Logarithmic Functions

10. Conic Sections

Conic Sections: Parabolas and Circles

Conic Sections: Ellipses

Conic Sections: Hyperbolas

Nonlinear Systems of Equations

11. Sequences, Series, and the Binomial Theorem

Sequences and Series

Arithmetic Sequences and Series

Geometric Sequences and Series

The Binomial Theorem

Appendix: The Graphing Calculator

Answers A-1

Glossary EM-1

Index EM-6

Index of Applications EM-13