Beginning Algebra

Chapter 1: The Real Number System

1.1 Fractions

1.2 Exponents, Order of Operations, and Inequality

Study Skills: Taking Lecture Notes

1.3 Variables, Expressions, and Equations

1.4 Real Numbers and the Number Line

Study Skills: Tackling Your Homework

1.5 Adding and Subtracting Real Numbers

Study Skills: Using Study Cards

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

 

Chapter 2: Linear Equations and Inequalities in One Variable

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

Study Skills: Using Study Cards Revisited

2.4 An Introduction to Applications of Linear Equations

2.5 Formulas and Additional Applications from Geometry

2.6 Ratio, Proportion, and Percent

2.7 Further Applications of Linear Equations

2.8 Solving Linear Inequalities

Study Skills: Taking Math Tests

 

Chapter 3: Linear Equations and Inequalities in Two Variables; Functions

3.1 Linear Equations in Two Variables; The Rectangular Coordinate System

Study Skills: Managing Your Time

3.2 Graphing Linear Equations in Two Variables

3.3 The Slope of a Line

3.4 Writing and Graphing Equations of Lines

Summary Exercises on Linear Equations and Graphs

3.5 Graphing Linear Inequalities in Two Variables

3.6 Introduction to Functions

Study Skills: Analyzing Your Test Results

 

Chapter 4: Systems of Linear 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

 

Chapter 5: Exponents and Polynomials

5.1 The Product Rule and Power Rules for Exponents

5.2 Integer Exponents and the Quotient Rule

Summary Exercises on the Rules for Exponents

5.3 An Application of Exponents: Scientific Notation

5.4 Adding and Subtracting Polynomials; Graphing Simple Polynomials

5.5 Multiplying Polynomials

5.6 Special Products

5.7 Dividing Polynomials

 

Chapter 6: Factoring and Applications

6.1 The Greatest Common Factor; Factoring by Grouping

6.2 Factoring Trinomials

6.3 More on Factoring Trinomials

6.4 Special Factoring Techniques

Summary Exercises on Factoring

6.5 Solving Quadratic Equations by Factoring

6.6 Applications of Quadratic Equations

 

Chapter 7: Rational Expressions and Applications

7.1 The Fundamental Property of Rational Expressions

7.2 Multiplying and Dividing Rational Expressions

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 Rational Expressions and Equations

7.7 Applications of Rational Expressions

7.8 Variation

Study Skills: Preparing for Your Math Final Exam

 

Chapter 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 Ope