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Beginning Algebra

v. 1.0

Table of Contents

•About the Author


•Acknowledgments


•Preface


•Chapter 1: Real Numbers and Their Operations
◦Real Numbers and the Number Line
◦Adding and Subtracting Integers
◦Multiplying and Dividing Integers
◦Fractions
◦Review of Decimals and Percents
◦Exponents and Square Roots
◦Order of Operations
◦Review Exercises and Sample Exam


•Chapter 2: Linear Equations and Inequalities
◦Introduction to Algebra
◦Simplifying Algebraic Expressions
◦Solving Linear Equations: Part I
◦Solving Linear Equations: Part II
◦Applications of Linear Equations
◦Ratio and Proportion Applications
◦Introduction to Inequalities and Interval Notation
◦Linear Inequalities (One Variable)
◦Review Exercises and Sample Exam


•Chapter 3: Graphing Lines
◦Rectangular Coordinate System
◦Graph by Plotting Points
◦Graph Using Intercepts
◦Graph Using the y-Intercept and Slope
◦Finding Linear Equations
◦Parallel and Perpendicular Lines
◦Introduction to Functions
◦Linear Inequalities (Two Variables)
◦Review Exercises and Sample Exam


•Chapter 4: Solving Linear Systems
◦Solving Linear Systems by Graphing
◦Solving Linear Systems by Substitution
◦Solving Linear Systems by Elimination
◦Applications of Linear Systems
◦Solving Systems of Linear Inequalities (Two Variables)
◦Review Exercises and Sample Exam


•Chapter 5: Polynomials and Their Operations
◦Rules of Exponents
◦Introduction to Polynomials
◦Adding and Subtracting Polynomials
◦Multiplying Polynomials
◦Dividing Polynomials
◦Negative Exponents
◦Review Exercises and Sample Exam


•Chapter 6: Factoring and Solving by Factoring
◦Introduction to Factoring
◦Factoring Trinomials of the Form x^2 + bx + c
◦Factoring Trinomials of the Form ax^2 + bx + c
◦Factoring Special Binomials
◦General Guidelines for Factoring Polynomials
◦Solving Equations by Factoring
◦Applications Involving Quadratic Equations
◦Review Exercises and Sample Exam


•Chapter 7: Rational Expressions and Equations
◦Simplifying Rational Expressions
◦Multiplying and Dividing Rational Expressions
◦Adding and Subtracting Rational Expressions
◦Complex Rational Expressions
◦Solving Rational Equations
◦Applications of Rational Equations
◦Variation
◦Review Exercises and Sample Exam


•Chapter 8: Radical Expressions and Equations
◦Radicals
◦Simplifying Radical Expressions
◦Adding and Subtracting Radical Expressions
◦Multiplying and Dividing Radical Expressions
◦Rational Exponents
◦Solving Radical Equations
◦Review Exercises and Sample Exam


•Chapter 9: Solving Quadratic Equations and Graphing Parabolas
◦Extracting Square Roots
◦Completing the Square
◦Quadratic Formula
◦Guidelines for Solving Quadratic Equations and Applications
◦Graphing Parabolas
◦Introduction to Complex Numbers and Complex Solutions
◦Review Exercises and Sample Exam


•Appendix: Geometric Figures
◦Appendix Introduction
◦Plane
◦Solid