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 Operations with Radicals 8.6 Solving Equations with Radicals 8.7 Using Rational Numbers as Exponents Chapter 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 Quadratic Equations 9.4 Complex Numbers 9.5 More on Graphing Quadratic Equations; Quadratic Functions Appendix: Sets