Beginning Algebra

A. AIM FOR SUCCESS. 1. PRE-ALGEBRA REVIEW. Introduction to Integers. Operations with Integers. Rational Numbers. Exponents and the Order of Operations Agreement. Concepts from Geometry. 2. VARIABLE EXPRESSIONS. Evaluating Variable Expressions. Simplifying Variable Expressions. Translating Verbal Expressions into Variable Expressions. 3. SOLVING EQUATIONS AND INEQUALITIES. Introduction to Equations. Applications of Equations of the Form _ax_ = _b_. General Equations. Inequalities. 4. SOLVING EQUATIONS AND INEQUALITIES: APPLICATIONS. Translating Sentences into Equations. Geometry Problems. Markup and Discount Problems. Investment Problems. Mixture Problems. Uniform Motion Problems. Inequalities. 5. LINEAR EQUATIONS AND INEQUALITIES. The Rectangular Coordinate System. Graphs of Straight Lines. Slopes of Straight Lines. Equations of Straight Lines. Functions. Graphing Linear Inequalities. 6. SYSTEMS OF LINEAR EQUATIONS. Solving Systems of Linear Equations by Graphing. Solving Systems of Linear Equations by the Substitution Method. Solving Systems of Linear Equations by the Addition Method. Application Problems in Two Variables. 7. POLYNOMIALS. Addition and Subtraction of Polynomials. Multiplication of Monomials. Multiplication of Polynomials. Integer Exponents and Scientific Notation. Division of Polynomials. 8. FACTORING. Common Factors. Factoring Polynomials of the Form _x_^2 + _bx_ + _c_. Factoring Polynomials of the Form _ax_^2 + _bx_ + _c_. Special Factoring. Factoring Polynomials Completely. Solving Equations. 9. RATIONAL EXPRESSIONS. Multiplication and Division of Rational Expressions. Expressing Fractions in Terms of the LCD. Addition and Subtraction of Rational Expressions. Complex Fractions. Equations Containing Fractions. Variation. Literal Equations. Application Problems. 10. RADICAL EXPRESSIONS. Introduction to Radical Expressions. Addition and Subtraction of Radical Expressions. Multiplication and Division of Radical Expressions. Solving Equations Containing Radical Expressions. 11. QUADRATIC EQUATIONS. Solving Quadratic Equations by Factoring or by Taking Square Roots. Solving Quadratic Equations by Completing the Square. Solving Quadratic Equations by Using the Quadratic Formula. Complex Numbers. Graphing Quadratic Equations in Two Variables. Application Problems. Final Exam. Appendix.