Introductory algebra
Marvin L. Bittinger
18009767
TABLE DES MATIÈRES
1. Introduction to Real Numbers and Algebraic Expressions
Introduction
to Algebra
The Real Numbers
Addition of
Real Numbers : Applications
Subtraction
of Real Numbers : Applications
Multiplication
of Real Numbers : Applications
Division of
Real Numbers : Applications
Properties
of Real Numbers
Simplifying
Expressions : Order of Operations
2. Solving Equations and Inequalities
Solving Equations
: The Addition Principle
Solving Equations
: The Multiplication Principle
Using the Principles
Together
Formulas
Applications
of Percent
Applications
and Problem Solving
Solving Inequalities
Applications
and Problem Solving with Inequalities
3. Graphs of Linear Equations
Graphs and
Applications
Graphing Linear
Equations
More with Graphing
and Intercepts
Slope and Applications
4. Polynomials : Operations
Integers as
Exponents
Exponents and
Scientific Notation
Introduction
to Polynomials
Addition and
Subtraction of Polynomials
Multiplication
of Polynomials
Special Products
Operations
with Polynomials in Several Variables
Division of
Polynomials
5. Polynomials : Factoring
Introduction
to Factoring
Factoring Trinomials
of the Type x2 + bx + c
Factoring ax2
+ bx + c, a <F128>Ö 1, FOIL Method
Factoring ax2
+ bx + c, a <F128>Ö 1, ac Method
Factoring Trinomial
Squares and Differences of Squares
Factoring :
A General Strategy
Solving Quadratic
Equations by Factoring
Applications
of Quadratic Equations
6. Rational Expressions and Equations
Multiplying
and Simplifying Rational Expressions
Division and
Reciprocals
Least Common
Multiples and Denominators
Adding Rational
Expressions
Subtracting
Rational Expressions
Solving Rational
Equations
Applications
Using Rational Equations and Proportions
Complex Rational
Expressions
7. Graphs, Slope, and Applications
Slope-Intercept
Equation
Graphing Using
the Slope and the y-intercept
Parallel and
Perpendicular Lines
Graphing Inequalities
in Two Variables
Direct and
Inverse Variation
8. Systems of Equations
Systems of
Equations in Two Variables
The Substitution
Method
The Elimination
Method
Applications
and Problem Solving
Applications
with Motion
9. Radical Expressions and Equations
Introduction
to Radical Expressions
Multiplying
and Simplifying with Radical Expressions
Quotients Involving
Radical Expressions
Addition, Subtraction,
and More Multiplication
Radical Equations
Applications
with Right Triangles
10. Quadratic Equations
Introduction
to Quadratic Equations
Solving Quadratic
Equations by Completing the Square
The Quadratic
Formula
Formulas
Applications
and Problem Solving
Graphs of Quadratic
Equations
Functions
Appendix A. Factoring Sums or Differences of Cubes
Appendix B. Higher Roots
Appendix C. Sets
Appendix D. Mean, Median, and Mode
28 avril 2004