Introductory Algebra, 9th Edition

Study Skills: Your Brain Can Learn Mathematics

 

R. Prealgebra Review

R.1 Fractions

R.2 Decimals and Percents

            Study Skills: Using Your Textbook

 

1. The Real Number System

1.1 Exponents, Order of Operations, and Inequality

            Study Skills: Homework: How, Why, When

1.2 Variables, Expressions, and Equations

            Study Skills: Taking Lecture Notes

1.3 Real Numbers and the Number Line

            Study Skills: Using Study Cards

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

            Study Skills: Reviewing a Chapter

            Summary ~ Review Exercises ~ Test

            Study Skills: Preparing for Tests

 

2. 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

            Study Skills: Using Study Cards: Revisited

            Summary Exercises on Solving Linear Equations

2.4 An Introduction to Applications of Linear Equations

2.5 Formulas and Additional Applications from Geometry

2.6 Ratio, Proportion, and Percent

            Summary Exercises on Solving Applied Problems

2.7 Solving Linear Inequalities

            Study Skills: Managing Your Time

            Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises

            Study Skills: Taking Tests

 

3. Graphs of Linear Equations and Inequalities in Two Variables

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

            Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises

            Study Skills: Analyzing Your Test Results

 

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

 

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 Dividing a Polynomial by a Polynomial

5.8 An Application of Exponents: Scientific Notation

            Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises

 

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

 

7. Rational Expressions and Applications

7.1 The Fundamental Property of Rational Expressions

7.2 Multiplying and Dividing Rational Expressions

            Study Skills: Making a Mind Map

7.3 Least Common Denominators

7.4 Adding and Subtracting Rational Expressions

7.5 Complex Fractions

7.6 Solving Equations with Rational Expressions

            Summary Exercises on Operations and Equations with Rational Expressions

7.7 Applications of Rational Expressions

7.8 Variation

            Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises

            Study Skills: Preparing for a Final Exam

 

8. Roots and Radicals

8.1 Evaluating Roots

8.2 Multiplying, Dividing, and Simplifying Radicals

8.3 Adding and Subtracting Radicals

8.4 Rationalizing the Denominator

8.5 More Simplifying and Operations with Radicals

            Summary Exercises on Operations with Radicals

8.6 Solving Equations with Radicals

            Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises

 

9. Quadratic Equations

9.1 Solving Quadratic Equations by the Square Root Property

9.2 Solving Quadratic Equations by Completing the Square

9.3 Solving Quadratic Equations by the Quadratic Formula

            Summary Exercises on Solving Quadratic Equations

9.4 Graphing Quadratic Equations

9.5 Introduction to Functions

            Summary ~ Review Exercises ~ Test ~ Cumulative Review Exercises

 

Appendix A. Strategies for Problem Solving

Appendix B. Factoring Sums and Differences of Cubes

 

Answers to Selected Exercises

Solutions to Selected Exercises

Index