Introductory and Intermediate Algebra

List of Applications

List of Focus on Real-Data Applications    

Preface    

Feature Walk-Through   

An Introduction to Scientific Calculators

To the Student

Diagnostic Pretest

 

Chapter R    Prealgebra Review

R.1  Fractions

R.2  Decimals and Percents

 

Chapter 1    The Real Number System



1.1  Exponents, Order of Operations, and Inequality

1.2  Variables, Expressions, and Equations

1.3  Real Numbers and the Number Line

1.4  Adding Real Numbers

1.5  Subtracting Real Numbers  

1.6  Multiplying and Dividing Real Numbers

Summary Exercises on Operations with Real Numbers

1.7  Properties of Real Numbers

1.8  Simplifying Expressions

Summary                 *               Review Exercises   *               Test

 

Chapter 2    Linear Equations, Inequalities, and Applications  

2.1  The Addition Property of Equality    

2.2  The Multiplication Property of Equality

2.3  More on Solving Linear Equations

Summary Exercises on Solving Linear Equations

2.4   An Introduction to Applications of Linear Equations

2.5   Formulas and Applications from Geometry

2.6   Ratio, Proportion, and Percent

Summary Exercises on Solving Applied Problems

2.7   Solving Linear Inequalities

Summary                 *               Review Exercises   *               Test         *               Cumulative Review Exercises

 

Chapter 3    Graphs of Linear Equations and Inequalities; Functions  

3.1   Reading Graphs; Linear Equations in Two Variables

3.2   Graphing Linear Equations in Two Variables

3.3   Slope of a Line

3.4   Equations of Lines

Summary Exercises on Graphing Linear Equations

3.5   Graphing Linear Inequalities in Two Variables

3.6   Introduction to Functions

Summary                 *               Review Exercises   *               Test         *               Cumulative Review Exercises

 

Chapter 4    Systems of Equations and Inequalities

4.1  Solving Systems of Linear Equations by Graphing

4.2  Solving Systems of Linear Equations by Substitution

4.3  Solving Systems of Linear Equations by Elimination

Summary Exercises on Solving Systems of Linear Equations

4.4  Applications of Linear Systems

4.5  Solving Systems of Linear Inequalities

Summary                 *               Review Exercises   *               Test         *               Cumulative Review Exercises

 

Chapter 5    Exponents and Polynomials

5.1  Adding and Subtracting Polynomials

5.2  The Product Rule and Power Rules for Exponents

5.3  Multiplying Polynomials

5.4  Special Products

5.5  Integer Exponents and the Quotient Rule

Summary Exercises on the Rules for Exponents

5.6  Dividing a Polynomial by a Monomial

5.7  The Quotient of Two Polynomials

5.8  An Application of Exponents: Scientific Notation

Summary                 *               Review Exercises   *               Test         *               Cumulative Review Exercises

 

Chapter 6    Factoring and Applications

6.1  Factors; The Greatest Common Factor

6.2  Factoring Trinomials

6.3  Factoring Trinomials by Grouping

6.4  Factoring Trinomials Using FOIL

6.5  Special Factoring Techniques

Summary Exercises on Factoring

6.6  Solving Quadratic Equations by Factoring  

6.7  Applications of Quadratic Equations

Summary                 *               Review Exercises   *               Test         *               Cumulative Review Exercises

 

Chapter 7    Rational Expressions and Functions

7.1  Rational Expressions and Functions; Multiplying and Dividing

7.2  Adding and Subtracting Rational Expressions

7.3  Complex Fractions

7.4  Equations with Rational Expressions and Graphs

Summary Exercises on Rational Expressions and Equations

7.5  Applications of Rational Expressions

7.6   Variation     [Interm 4.6]

Summary     *     Review Exercises     *     Test     *     Cumulative Review Exercises

 

Chapter 8    Equations, Inequalities, and Systems Revisited

8.1  Review of Solving Linear Equations and Inequalities

8.2  Set Operations and Compound Inequalities

8.3  Absolute Value Equations and Inequalities

Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities

8.4   Review of Systems of Linear Equations in Two Variables

8.5   Systems of Linear Equations in Three Variables; Applications

8.6   Solving Systems of Linear Equations by Matrix Methods  

Summary     *     Review Exercises     *     Test     *     Cumulative Review Exercises

 

Chapter 9    Roots, Radicals, and Root Functions

9.1  Rational Expressions and Graphs

9.2  Rational Exponents

9.3  Simplifying Radical Expressions

9.4  Adding and Subtracting Radical Expressions

9.5  Multiplying and Dividing Radical Expressions

Summary Exercises on Operations with Radicals and Rational Exponents

9.6  Solving Equations with Radical Expressions

9.7  Complex Numbers

Summary     *     Review Exercises     *     Test     *     Cumulative Review Exercises

 

Chapter 10    Quadratic Equations, Inequalities, and Functions

10.1  Solving Quadratic Equations by the Square Root Property

10.2  Solving Quadratic Equations by Completing the Square

10.3  Solving Quadratic Equations by the Quadratic Formula

10.4  Equations Quadratic in Form

Summary Exercises on Solving Quadratic Equations

10.5  Formulas and Further Applications

10.6  Graphs of Quadratic Functions

10.7  More About Parabolas; Applications

10.8  Quadratic and Rational Inequalities

Summary     *     Review Exercises     *     Test     *     Cumulative Review Exercises

 

Chapter 11    Exponential and Logarithmic Functions

11.1  Inverse Functions

11.2  Exponential Functions

11.3  Logarithmic Functions

11.4  Properties of Logarithms

11.5  Common and Natural Logarithms

11.6  Exponential and Logarithmic Equations; Further Applications

Summary     *     Review Exercises     *     Test     *     Cumulative Review Exercises


Chapter 12    Nonlinear Functions, Conic Sections, and Nonlinear Systems

12.1  Additional Graphs of Functions; Operations and Composition

12.2  The Circle and the Ellipse

12.3  The Hyperbola, and Other Functions Defined by Radicals

12.4  Nonlinear Systems of Equations

12.5  Second-Degree Inequalities; Systems of Inequalities

Summary     *      Review Exercises     *     Test     *     Cumulative Review Exercises

 

Appendix A  Transition from Introductory to Intermediate Algebra (Review of Exponents, Polynomials, and Factoring)

 

Appendix B  Strategies for Problem Solving

 

Appendix C  Sets

 

Appendix D  Mean, Median, and Mode

 

Appendix E  Determinants and Cramer’s Rule

 

Appendix F  Synthetic Division

 

 

Answers to Selected Exercises

Index

Videotape Index