1. THE BASICS.
Notation and Symbols. Real Numbers. Addition of Real Numbers. Subtraction
of Real Numbers. Properties of Real Numbers. Multiplication of Real
Numbers. Division of Real Numbers. Subsets of Real Numbers. Summary.
Review. Test. Projects.
2. LINEAR EQUATIONS AND INEQUALITIES.
Simplifying Expressions. Addition Property of Equality. Multiplication
Property of Equality. Solving Linear Equations. Formulas. Applications.
More Applications . Linear Inequalities. Summary. Review. Cumulative
Review. Test. Projects.
3. GRAPHING AND LINEAR SYSTEMS.
Paired Data and Graphing Ordered Pairs. Solutions to Linear Equations
in Two Variables. Graphing Linear Equations in Two Variables. More on
Graphing: Intercepts . Solving Linear Systems by Graphing. The Addition
Method. Applications. Summary . Review. Cumulative Review. Test. Projects.
4. EXPONENTS AND POLYNOMIALS.
Multiplication with Exponents. Division with Exponents. Operations with
Monomials. Addition and Subtraction of Polynomials. Multiplication with
Polynomials. Bin omial Squares and Other Special Products. Dividing
a Polynomial by a Monomial. Dividing a Polynomial by a Polynomial. Summary.
Review. Cumulative Review. Test. Projects.
5. FACTORING.
The Greatest Common Factor and Factoring by Grouping. Factoring Trinomials.
More Trinomials to Factor. The Difference of Two Squares. Factoring:
A General Revie w. Solving Equations by Factoring. Applications. Summary.
Review. Cumulative Rev iew. Test. Projects.
6. RATIONAL EXPRESSIONS.
Reducing Rational Expressions to Lowest Terms. Multiplication and Division
of Ra tional Expressions. Addition and Subtraction of Rational Expressions.
Equations Involving Rational Expressions. Applications. Complex Fractions.
Proportions. Su mmary. Review. Cumulative Review. Test. Projects.
7. TRANSITIONS.
Review of Solving Equations. Equations with Absolute Value. Compound
Inequalitie s and Interval Notation. Inequalities Involving Absolute
Value. Factoring the Su m and Difference of Two Cubes. Review of Systems
of Equations in Two Variables. Systems of Equations in Three Variables.
Summary. Review. Cumulative Review. Tes t. Projects.
8. EQUATIONS AND INEQUALITIES IN TWO VARIABLES.
The Slope of a Line. The Equation of a Line. Linear Inequalities in
Two Variable s. Introduction to Functions. Function Notation. Algebra
with Functions. Variati on. Summary. Review. Cumulative Review. Test.
Projects.
9. RATIONAL EXPONENTS AND ROOTS.
Rational Exponents. More Expressions Involving Rational Exponents. Simplified
Fo rm for Radicals. Addition and Subtraction of Radical Expressions.
Multiplication and Division of Radical Expressions. Equations with Radicals.
Complex Numbers. Summary. Review. Cumulative Review. Test. Projects.
10. QUADRATIC EQUATIONS.
Completing the Square. The Quadratic Formula. Additional Items Involving
Solutio ns to Equations. Equations in Quadratic Form. Graphing Parabolas.
Quadratic Inequalities. Summary. Review. Cumulative Review. Test. Projects.
11. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions. The Inverse of a Function. Logarithms are Exponents.
Properties of Logarithms. Common Logarithms and Natural Logarithms.
Exponential Equations and Change of Base. Summary. Review. Cumulative
Review. Test. Projects.
12. CONIC SECTIONS.
The Circle. Ellipses and Hyperbolas. Second-degree Inequalities and
Nonlinear Systems. Summary. Review. Cumulative Review. Test. Projects.