Introductory Algebra -

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1. AN INTRODUCTION TO ALGEBRA. The Language of Algebra. Fractions. The Real Numbers. Adding Real Numbers; Properties of Addition. Subtracting Real Numbers. Multiplying and Dividing Real Numbers. Exponents and Order of Operations. Algebraic Expressions. Simplifying Algebraic Expressions Using Properties of Real Numbers. Chapter 1 Summary and Review. Chapter 1 Test. 2. EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING. Solving Equations Using Properties of Equality. More about Solving Equations. Applications of Percent. Formulas. Problem Solving. More about Problem Solving. Solving Inequalities. Chapter 2 Summary and Review. Chapter 2 Test. Chapters 1-2 Cumulative Review Exercises. 3. GRAPHS, LINEAR EQUATIONS, AND FUNCTIONS. Graphing Using the Rectangular Coordinate System. Equations Containing Two Variables. Graphing Linear Equations. Rate of Change and the Slope of a Line. Slope-Intercept Form. Point-Slope Form; Writing Linear Equations. Graphing Linear Inequalities. Functions. Chapter 3 Summary and Review. Chapter 3 Test. Chapters 1-3 Cumulative Review Exercises. 4. SOLVING SYSTEMS OF EQUATIONS AND INEQUALITIES. Solving Systems of Equations by Graphing. Solving Systems of Equations by Substitution. Solving Systems of Equations by Addition (Elimination). Problem Solving Using Systems of Equations. Solving Systems of Linear Inequalities. Chapter 4 Summary and Review. Chapter 4 Test. Chapters 1-4 Cumulative Review Exercises. 5. EXPONENTS AND POLYNOMIALS. Natural-Number Exponents; Rules of Exponents. Zero and Negative Integer Exponents. Scientific Notation. Polynomials. Adding and Subtracting Polynomials. Multiplying Polynomials. Dividing Polynomials by Monomials. Dividing Polynomials by Polynomials. Chapter 5 Summary and Review. Chapter 5 Test. Chapters 1-5 Cumulative Review Exercises. 6. FACTORING AND QUADRATIC EQUATIONS. The Greatest Common Factor; Factoring by Grouping. Factoring Trinomials of the Form x2 + bx = c. Factoring Trinomials of the Form ax2 + bx + c. Factoring Perfect-Square Trinomials and the Difference of Two Squares. Factoring the Sum and Difference of Two Cubes. A Factoring Strategy. Quadratic Equations. Applications of Quadratic Equations. Chapter 6 Summary and Review. Chapter 6 Test. Chapters 1-6 Cumulative Review Exercises. 7. RATIONAL EXPRESSIONS AND EQUATIONS. Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting with Like Denominators; Least Common Denominators. Adding and Subtracting with Unlike Denominators. Simplifying Complex Fractions. Solving Rational Equations. Problem Solving Using Rational Equations. Proportions and Similar Triangles. Variation. Chapter 7 Summary and Review. Chapter 7 Test. Chapters 1-7 Cumulative Review Exercises. 8. ROOTS AND RADICALS. Square Roots. Higher-Order Roots; Radicands That Contain Variables. Simplifying Radical Expressions. Adding and Subtracting Radical Expressions. Multiplying and Dividing Radical Expressions. Solving Radical Equations; the Distance Formula. Rational Exponents. Chapter 8 Summary and Review. Chapter 8 Test. Chapters 1-8 Cumulative Review Exercises. 9. QUADRATIC EQUATIONS. Solving Quadratic Equations: The Square Root Property. Solving Quadratic Equations: Completing the Square. Solving Quadratic Equations: The Quadratic Formula. Graphing Quadratic Functions. Complex Numbers. Chapter 9 Summary and Review. Chapter 9 Test. Chapter 9 Cumulative Review Exercises.