Introductory Algebra

R. Prealgebra Review R.1 Fractions R.2 Decimals and Percents Study Skills Using Your Math Text 1. The Real Number System 1.1 Exponents, Order of Operations, and Inequality Study Skills Taking Lecture Notes 1.2 Variables, Expressions, and Equations Study Skills Reading Your Math Text 1.3 Real Numbers and the Number Line Study Skills Using Study Cards 1.4 Adding Real Numbers 1.5 Subtracting Real Numbers Study Skills Completing Your Homework 1.6 Multiplying and Dividing Real Numbers Summary Exercises Performing Operations with Real Numbers 1.7 Properties of Real Numbers 1.8 Simplifying Expressions Study Skills Reviewing a Chapter 2. Equations, Inequalities, and Applications 2.1 The Addition Property of Equality Study Skills Managing Your Time 2.2 The Multiplication Property of Equality 2.3 More on Solving Linear Equations Study Skills Using Study Cards Revisited Summary Exercises Applying Methods for 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 Applying Problem-Solving Techniques 2.7 Solving Linear Inequalities Study Skills Taking Math Tests 3. Graphs of Linear Equations and Inequalities in Two Variables 3.1 Linear Equations and Rectangular Coordinates Study Skills Analyzing Your Test Results 3.2 Graphing Linear Equations in Two Variables 3.3 The Slope of a Line Study Skills Preparing for Your Math Final Exam 3.4 Slope-Intercept Form of a Linear Equation 3.5 Point-Slope Form of a Linear Equation and Modeling Summary Exercises Applying Graphing and Equation-Writing Techniques for Lines 3.6 Graphing Linear Inequalities in Two Variables 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 Applying Techniques for Solving Systems of Linear Equations 4.4 Applications of Linear Systems 4.5 Solving Systems of Linear Inequalities 5. Exponents and Polynomials 5.1 The Product Rule and Power Rules for Exponents 5.2 Integer Exponents and the Quotient Rule Summary Exercises Applying the Rules for Exponents 5.3 An Application of Exponents: Scientific Notation 5.4 Adding and Subtracting Polynomials 5.5 Multiplying Polynomials 5.6 Special Products 5.7 Dividing a Polynomial by a Monomial 5.8 Dividing a Polynomial by a Polynomial 6. Factoring and Applications 6.1 Greatest Common Factors; Factor by Grouping 6.2 Factoring Trinomials 6.3 Factoring Trinomials by Grouping 6.4 Factoring Trinomials Using the FOIL Method 6.5 Special Factoring Techniques Summary Exercises Recognizing and Applying Factoring Strategies 6.6 Solving Quadratic Equations Using the Zero-Factor Property 6.7 Applications of Quadratic Equations 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 Simplifying Rational Expressions vs. Solving Rational Equations 7.7 Applications of Rational Expressions 7.8 Variation 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 Applying Operations with Radicals 8.6 Solving Equations with Radicals 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 Applying Methods for Solving Quadratic Equations 9.4 Graphing Quadratic Equations 9.5 Introduction to Functions Appendix: Factoring Sums and Differences of Cubes