CUSTOMIZABLE SYLLABUS FOR INTRODUCTORY ALGEBRA:
1. Review of Real Numbers.
Symbols and Sets of Numbers. Fractions. Exponents and Order of Operations. Introduction to Variable Expressions and Equations. Adding Real Numbers. Subtracting Real Numbers. Multiplying and Dividing Real Numbers. Properties of Real Numbers. Reading Graphs.
2. Equations, Inequalities, and Problem Solving.
Simplifying Algebraic Expressions. The Addition Property of Equality. The Multiplication Property of Equality. Solving Linear Equations. An Introduction to Problem Solving. Formulas and Problem Solving. Percent and Problem Solving. Further Problem Solving. Solving Linear Inequalities.
The Rectangular Coordinate System. Graphing Linear Equations. Intercepts. Slope. Graphing Linear Inequalities.
4. Exponents and Polynomials.
Exponents. Adding and Subtracting Polynomials. Multiplying Polynomials. Special Products. Negative Exponents and Scientific Notation. Division of Polynomials.
5. Factoring Polynomials.
The Greatest Common Factor and Factoring by Grouping. Factoring Trinomials of the Form x2 + bx + c. Factoring Trinomials of the Form x2 + bx + c. Factoring Binomials. Choosing a Factoring Strategy. Solving Quadratic Equations by Factoring. Quadratic Equations and Problem Solving.
6. Rational Expressions.
Simplifying Rational Expressions. Multiplying and Dividing Rational Expressions. Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator. Adding and Subtracting Rational Expressions with Unlike Denominators. Simplifying Complex Fractions. Solving Equations Containing Rational Expressions. Ratio and Proportion. Rational Equations and Problem Solving.
7. Further Graphing.
The Slope-Intercept Form. The Point-Slope Form. Graphing Nonlinear Equations. Functions.
8. Solving Systems of Linear Equations.
Solving Systems of Linear Equations by Graphing. Solving Systems of Linear Equations by Substitution. Solving Systems of Linear Equations by Addition. Systems of Linear Equations and Problem Solving. Systems of Linear Inequalities.
9. Roots and Radicals.
Introduction to Radicals. Simplifying Radicals. Adding and Subtracting Radicals. Multiplying and Dividing Radicals. Solving Equations Containing Radicals. Radical Equations and Problem Solving. Rational Exponents.
10. Solving Quadratic Equations.
Solving Quadratic Equations by the Square Root Method. Solving Quadratic Equations by Completing the Square. Solving Quadratic Equations by the Quadratic Formula. Summary of Methods for Solving Quadratic Equations. Complex Solutions of Quadratic Equations. Graphing Quadratic Equations.show more