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Index
COVER PAGE
TITLE PAGE
COPYRIGHT PAGE
INTRODUCTION
Why You Need This Book
How to Use This Book
Hundreds of Practice Questions Online!
CHAPTER 1: LINEAR SENTENCES IN ONE VARIABLE
Linear Equations
Formulas
Absolute Value Equations
Linear Inequalities
Compound Inequalities
Absolute Value Inequalities
CHAPTER 2: SEGMENTS, LINES, AND INEQUALITIES
Rectangular Coordinate System
Distance Formula
Midpoint Formula
Slope of a Line
Slopes of Parallel and Perpendicular Lines
Equations of Lines
Graphs of Linear Inequalities
CHAPTER 3: LINEAR SENTENCES IN TWO VARIABLES
Linear Equations: Solutions Using Graphing
Linear Equations: Solutions Using Substitution
Linear Equations: Solutions Using Elimination
Linear Equations: Solutions Using Matrices
Linear Equations: Solutions Using Determinants
Linear Inequalities: Solutions Using Graphing
CHAPTER 4: LINEAR EQUATIONS IN THREE VARIABLES
Linear Equations: Solutions Using Elimination
Linear Equations: Solutions Using Matrices
Linear Equations: Solutions Using Determinants
CHAPTER 5: POLYNOMIAL ARITHMETIC
Adding and Subtracting Polynomials
Multiplying Polynomials
Special Products of Binomials
Dividing Polynomials
Synthetic Division
CHAPTER 6: FACTORING POLYNOMIALS
Greatest Common Factor
Difference of Squares
Sum or Difference of Cubes
Trinomials of the Form x + bx + c
Trinomials of the Form ax + bx + c
Square Trinomials
Factoring by Regrouping
Summary of Factoring Techniques
Solving Equations by Factoring
CHAPTER 7: RATIONAL EXPRESSIONS
Examples of Rational Expressions
Simplifying Rational Expressions
Multiplying Rational Expressions
Dividing Rational Expressions
Adding and Subtracting Rational Expressions
Complex Fractions
Solving Rational Equations
Proportion, Direct Variation, Inverse Variation, Joint Variation
Graphing Rational Functions
CHAPTER 8: RELATIONS AND FUNCTIONS
Basic Definitions
Function Notation
Compositions of Functions
Algebra of Functions
Inverse Functions
CHAPTER 9: POLYNOMIAL FUNCTIONS
Polynomial Function
Remainder Theorem
Factor Theorem
Zeros of a Function
Rational Zero Theorem
Graphing Polynomial Functions
CHAPTER 10: RADICALS AND COMPLEX NUMBERS
Radicals
Simplifying Radicals
Adding and Subtracting Radical Expressions
Multiplying Radical Expressions
Dividing Radical Expressions
Rational Exponents
Complex Numbers
CHAPTER 11: QUADRATICS IN ONE VARIABLE
Quadratic Equations
Solving Quadratics by Factoring
Solving Quadratics by the Square Root Property
Solving Quadratics by Completing the Square
Solving Quadratics by the Quadratic Formula
Solving Equations in Quadratic Form
Solving Radical Equations
Solving Quadratic Inequalities
CHAPTER 12: CONIC SECTIONS
The Four Conic Sections
Circle
Parabola
Ellipse
Hyperbola
CHAPTER 13: QUADRATIC SYSTEMS
Systems of Equations Solved Algebraically
Systems of Equations Solved Graphically
Systems of Inequalities Solved Graphically
CHAPTER 14: EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Exponential Functions
Logarithmic Functions
Properties of Logarithms
Exponential and Logarithmic Equations
CHAPTER 15: SEQUENCES AND SERIES
Definition and Examples of Sequences
Arithmetic Sequence
Arithmetic Series
Geometric Sequence
Geometric Series
Summation Notation
CHAPTER 16: ADDITIONAL TOPICS
Factorials
Binomial Coefficients and the Binomial Theorem
Permutations
Combinations
CHAPTER 17: WORD PROBLEMS
General Strategy
Simple Interest
Compound Interest
Mixture
Motion
Work
Arithmetic/Geometric Series
REVIEW QUESTIONS
THE RESOURCE CENTER
Books
Internet
GLOSSARY
INDEX
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