1. BASICS.
Notation and Symbols. Real Numbers. Addition of Real Numbers. Subtraction
of Rea l Numbers. Properties of Real Numbers. Multiplication of Real
Numbers. Division of Real Numbers. Subsets of the Real Numbers. Addition
and Subtraction with Frac tions.
2. LINEAR EQUATIONS AND INEQUALITIES.
Simplifying Expressions. Addition Property of Equality. Multiplication
Property of Equality. Solving Linear Equations. Formulas. Applications.
More Applications . Linear Inequalities. Compound Inequalities.
3. LINEAR EQUATIONS AND INEQUALITIES IN TWO VARIABLES.
Paired Data and Graphing Ordered Pairs. Solutions to Linear Equations
in Two Var iables. Graphing Linear Equations in Two Variables. More
on Graphing: Intercepts . The Slope of a Line. Finding the Equation
of a Line. Linear Inequalities in Tw o Variables.
4. SYSTEMS OF LINEAR EQUATIONS.
Solving Linear Systems by Graphing. The Elimination Method. The Substitution
Met hod. Applications.
5. EXPONENTS AND POLYNOMIALS.
Multiplication with Exponents. Division with Exponents. Operations with
Monomial s. Addition and Subtraction of Polynomials. Multiplication
with Polynomials. Bin omial Squares and Other Special Products. Dividing
a Polynomial by a Monomial. D ividing a Polynomial by a Polynomial.
6. 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.
7. 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. Va riation.
8. ROOTS AND RADICALS.
Definitions and Common Roots. Properties of Radicals. Simplified Form
for Radica ls. Addition and Subtraction of Radical Expressions. Multiplication
and Division of Radicals. Equations Involving Radicals.
9. QUADRATIC EQUATIONS.
More Quadratic Equations. Completing the Square. The Quadratic Formula.
Complex Numbers. Complex Solutions to Quadratic Equations. Graphing
Parabolas.