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Chapter 1: BASIC CONCEPTS AND PROPERTIES | |
Sets, Real Numbers, and Numerical Expressions | |
Operations with Real Numbers | |
Properties of Real Numbers and the Use of Exponents | |
Algebraic Expressions | |
Summary | |
Review Problem Set | |
Test | |
Chapter 2: EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING | |
Solving First-Degree Equations | |
Equations Involving Fractional Forms | |
Equations Involving Decimals and Problem Solving | |
Formulas | |
Inequalities | |
More on Inequalities and Problem Solving | |
Equations and Inequalities Involving Absolute Value | |
Summary | |
Review Problem Set | |
Test | |
Chapter 3: POLYNOMIALS | |
Polynomials: Sums and Differences | |
Products and Quotients of Monomials | |
Multiplying Polynomials | |
Factoring: Use of the Distributive Property | |
Factoring: Difference of Two Squares and Sum or Difference of Two Cubes | |
Factoring Trinomials | |
Equations and Problem Solving | |
Summary | |
Review Problem Set | |
Test | |
Cumulative Review Problem Set (Chapters 1-3) | |
Chapter 4: RATIONAL EXPRESSIONS | |
Simplifying Rational Expressions | |
Multiplying and Dividing Rational Expressions | |
Adding and Subtracting Rational Expressions | |
More on Rational Expressions and Complex Fractions | |
Dividing Polynomials | |
Fractional Equations | |
More Fractional Equations and Applications | |
Summary | |
Review Problem Set | |
Test | |
Chapter 5:EXPONENTS AND RADICALS | |
Using Integers as Exponents | |
Roots and Radicals | |
Combining Radicals and Simplifying Radicals That Contain Variables | |
Products and Quotients Involving Radicals | |
Equations Involving Radicals | |
Merging Exponents and Roots | |
Scientific Notation | |
Summary | |
Review Problems Set | |
Test | |
Chapter 6: QUADRATIC EQUATIONS AND INEQUALITIES | |
Complex Numbers | |
Quadratic Equations | |
Completing the Square | |
Quadratic Formula | |
More Quadratic Equations and Applications | |
Quadratic and Other Nonlinear Inequalities | |
Summary | |
Review Problem Set | |
Test | |
Cumulative Review Problem Set (Chapters 1-6) | |
Chapter 7: LINEAR EQUATIONS AND INEQUALITIES IN TWO VARIABLES | |
Rectangular Coordinate System | |
Linear Equations in Two Variables | |
Linear Inequalities in Two Variables | |
Distance and Slope | |
Determining the Equation of a Line | |
Summary | |
Review Problem Set | |
Test | |
Chapter 8: FUNCTIONS | |
Concept of a Function | |
Linear Functions and Applications | |
Quadratic Functions | |
More Quadratic Functions and Applications | |
Transformations of Some Basic Curves | |
Combining Functions | |
Direct and Inverse Variation | |
Summary | |
Review Problem Set | |
Test | |
Chapter 9: POLYNOMIAL AND RATIONAL FUNCTIONS | |
Synthetic Division | |
Remainder and Factor Theorems | |
Polynomial Equations | |
Graphing Polynomial Functions | |
Graphing Rational Functions | |
More on Graphing Rational Functions | |
Summary | |
Review Problem Set | |
Test | |
Chapter 10: EXPONENTIAL AND LOGARITHMIC FUNCTIONS | |
Exponents and Exponential Functions | |
Applications of Exponential Functions | |
Inverse Functions | |
Logarithms | |
Logarithmic Functions | |
Exponential Equations, Logarithmic Equations, and Problem Solving | |
Summary | |
Review Problem Set | |
Test | |
Cumulative Review Problem Set (Chapter 1-10) | |
Chapter 11: SYSTEMS OF EQUATIONS | |
Systems of Two Linear Equations in Two Variables | |
Systems of Three Linear Equations in Three Variables | |
Matrix Approach to Solving Linear Systems | |
Determinants | |
Cramer's Rule | |
Summary | |
Review Problem Set | |
Test | |
CHAPTER 12: ALGEBRA of Matrices | |
Algebra of 2_2 Matrices | |
Multiplicative Inverses | |
m x n Matrices | |
Systems of Linear Inequalities: Linear Programming | |
Summary | |
Review Problem Set | |
Test | |
Chapter 13: CONIC SECTIONS | |
Circles | |
Parabolas | |
Ellipses | |
Hyperbolas | |
System Involving Nonlinear Equations | |
Summary | |
Review Problem Set | |
Test | |
Chapter 14: SEQUENCES AND MATHEMATICAL INDUCTION | |
Arithmetic Sequences | |
Geometric Sequences | |
Another Look at Problem Solving | |
Mathematical Induction | |
Summary | |
Review Problem Set | |
Test | |
Chapter 15: COUNTING TECHNIQUES, PROBABILITY, AND THE BINOMIAL THEOREM | |
Fundamental Principle of Counting | |
Permutations and Combinations | |
Probability | |
Some Properties of Probability: Expected Values | |
Conditional Probability: Dependent and Independent Events | |
Binomial Theorem | |
Summary | |
Review Problem Set | |
Test | |
Answers to Odd-Numbered Problems and All Chapter Review, Chapter Test, and Cumulative Review Problems | |
Index |