Elementary Algebra

R. ARITHMETIC REVIEW. Pretest. Evaluating Expressions and the Order of Operations. Signed Numbers. Fractions. Decimal Numbers, Percent, and Order of Operations. Study Plan for Review of Chapter R. Post Test. 1. THE REAL NUMBERS. Chapter Introduction: Success in College Mathematics-The Culture of College. The Real Numbers Variables and Algebraic Expressions. Variables and Algebraic Expressions. Problem Solving. Percent. Units of Measurement and Formulas. Irrational Numbers and Roots. Study Plan for Review of Chapter 1. Chapter Test. 2. SOLVING EQUATIONS AND INEQUALITIES. Chapter Introduction: Success in College Mathematics-Time Management. The Properties of Equality. More Equations in One Variable. Variables on Both Sides. Solving an Equation for a Variable. Inequalities in One Variable. Study Plan for Review of Chapter 2. Chapter Test. 3. LINEAR EQUATIONS AND INEQUALITIES IN TWO VARIABLES. Chapter Introduction: Success in College Mathematics-Learning Preferences. Ordered Pairs and Solutions of Linear Equations. Standard Form and Graphing with Intercepts. Average Rate of Change and Slope. Slope Intercept Form. Point-Slope Form and Writing the Equation of a Line. Linear Inequalities in Two Variables. Relations and Functions. Study Plan for Review of Chapter 3. Chapter Test. Cumulative Reviews Chapters 1-3. 4. SYSTEMS OF EQUATIONS AND INEQUALITIES. Chapter Introduction: Success in College Mathematics-Using Your Textbook. Systems of Linear Equations. The Substitution Method. The Elimination Method. Applications. Systems of Linear Inequalities. Study Plan for Review of Chapter 4. Chapter Test. 5. EXPONENTS AND POLYNOMIALS. Chapter Introduction: Success in College Mathematics-Taking and Using Notes. Exponential Expressions and the Exponent Rules. Scientific Notation. Introduction to Polynomials. Multiplication of Polynomials. Division of Polynomials. Study Plan for Review of Chapter 5. Chapter Test. 6. FACTORING POLYNOMIALS. Chapter Introduction: Success in College Mathematics-Learning from Tests and Quizzes. Introduction to Factoring. Factoring Trinomials. Patterns. Factoring Completely. The Zero Product Property. Study Plan for Review of Chapter 6. Chapter Test. Cumulative Review Chapters 4-6. 7. RATIONAL EXPRESSIONS AND EQUATIONS. Chapter Introduction: Success in College Mathematics-Math Anxiety. Simplifying Rational Expressions. Multiplication and Division of Rational Expressions. Combining Rational Expressions with the Same Denominator. Combining Rational Expressions with Different Denominators. Complex Rational Expressions. Rational Equations and Proportions. Variation. Study Plan for Review of Chapter 7. Chapter Test. 8. RADICAL EXPRESSIONS AND EQUATIONS. Chapter Introduction: Success in College Mathematics--Learning from Tutors. Square Roots. Adding and Subtracting Square Roots. Multiplying Square Roots. Dividing Square Roots and Rationalizing Denominators. Radical Equations. Higher Index Radicals and Rational Exponents. Study Plan for Review of Chapter 8. Chapter Test. 9. QUADRATIC EQUATIONS. Chapter Introduction: Success in College Mathematics-Studying for Final Exams. Quadratic Equations in One Variable. Completing the Square. The Quadratic Formula. Quadratic Equations with Non-Real solutions. Quadratic Equations in the Form y = ax^2 + bx + c. Study Plan for Review of Chapter 9. Chapter Test. APPENDIX. Reasonability and Problem Solving. Deriving the Quadratic Formula.

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