Beginning Algebra

Note: each chapter concludes with a Group Activity, Chapter Summary, Chapter Review Exercises, Chapter Test, and after Chapter 1, a set of Cumulative Review Exercises. Chapter 1: The Real Number System 1.1 Fractions 1.2 Exponents, Order of Operations, and Inequality 1.3 Variables, Expressions, and Equations 1.4 Real Numbers and the Number Line 1.5 Adding and 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 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 2.4 An Introduction to Applications of Linear Equations 2.5 Formulas and Applications from Geometry 2.6 Ratios and Proportions 2.7 Further Applications of Linear Equations 2.8 Solving Linear Inequalities Chapter 3: Linear Equations and Inequalities in Two Variables; Functions 3.1 Reading Graphs; Linear Equations in Two Variables 3.2 Graphing Linear Equations in Two Variables 3.3 The Slope of a Line 3.4 Equations of a Line Summary Exercises on Linear Equations and Graphs 3.5 Graphing Linear Inequalities in Two Variables 3.6 Introduction to Functions 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