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1. 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 the Real Numbers | |
Addition and Subtraction with Fractions | |
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 | |
Compound Inequalities | |
Summary | |
Review | |
Cumulative Review | |
Test | |
Projects | |
3. LINEAR EQUATIONS AND INEQUALITIES IN TWO VARIABLES | |
Paired Data and Graphing Ordered Pairs | |
Solutions to Linear Equations in Two Variables | |
Graphing Linear Equations in Two Variables | |
More on Graphing: Intercepts | |
The Slope of a Line | |
Finding the Equation of a Line | |
Linear Inequalities in Two Variables | |
Summary | |
Review | |
Cumulative Review | |
Test | |
Projects | |
4. SYSTEMS OF LINEAR EQUATIONS | |
Solving Linear Systems by Graphing | |
The Elimination Method | |
The Substitution Method | |
Applications | |
Summary | |
Review | |
Cumulative Review | |
Test | |
Projects | |
5. EXPONENTS AND POLYNOMIALS | |
Multiplication with Exponents | |
Division with Exponents | |
Operations with Monomials | |
Addition and Subtraction of Polynomials | |
Multiplication with Polynomials | |
Binomial Squares and Other Special Products | |
Dividing a Polynomial by a Monomial | |
Dividing a Polynomial by a Polynomial | |
Summary | |
Review | |
Cumulative Review | |
Test | |
Projects | |
6. FACTORING | |
The Greatest Common Factor and Factoring by Grouping | |
Factoring Trinomials | |
More Trinomials to Factor | |
The Difference of Two Squares | |
Factoring: A General Review | |
Solving Equations by Factoring | |
Applications | |
Summary | |
Review | |
Cumulative Review | |
Test | |
Projects | |
7. RATIONAL EXPRESSIONS | |
Reducing Rational Expressions to Lowest Terms | |
Multiplication and Division of Rational Expressions | |
Addition and Subtraction of Rational Expressions | |
Equations Involving Rational Expressions | |
Applications | |
Complex Fractions | |
Proportions | |
Variation | |
Summary | |
Review | |
Cumulative Review | |
Test | |
Projects | |
8. ROOTS AND RADICALS | |
Definitions and Common Roots | |
Properties of Radicals | |
Simplified Form for Radicals | |
Addition and Subtraction of Radical Expressions | |
Multiplication and Division of Radicals | |
Equations Involving Radicals | |
Summary | |
Review | |
Cumulative Review | |
Test | |
Projects | |
9. QUADRATIC EQUATIONS | |
More Quadratic Equations | |
Completing the Square | |
The Quadratic Formula | |
Complex Numbers | |
Complex Solutions to Quadratic Equations | |
Graphing Parabolas | |
Summary | |
Review | |
Cumulative Review | |
Test | |
Projects | |
Appendixes: A | |
Introduction to Functions | |
B | |
Function Notation | |
Answers to Chapter Reviews, Chapter Tests, and Odd-Numbered Problems | |
Index |