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What is included with this book?
1. A REVIEW OF BASIC ALGEBRA | |
Describing Numerical Relationships | |
The Real Number System | |
Operations with Real Numbers | |
Simplifying Algebraic Expressions | |
Solving Linear Equations and Formulas | |
Using Equations to Solve Problems | |
More Applications of Equations | |
Key Concept: "Let x =" | |
Accent on Teamwork | |
Chapter Review | |
Chapter Test | |
2. GRAPHS, EQUATIONS OF LINES, AND FUNCTIONS | |
The Rectangular Coordinate System | |
Graphing Linear Equations | |
Rate of Change and the Slope of a Line | |
Writing Equations of Lines | |
Introduction to Functions | |
Graphs of Functions | |
Key Concept: Functions | |
Accent on Teamwork | |
Chapter Review | |
Chapter Test | |
Cumulative Review Exercises | |
3. SYSTEMS OF EQUATIONS | |
Solving Systems by Graphing | |
Solving Systems Algebraically | |
Systems with Three Variables | |
Solving Systems Using Matrices | |
Solving Systems Using Determinants | |
Key Concept: Systems of Equations | |
Accent on Teamwork | |
Chapter Review | |
Chapter Test | |
4. INEQUALITIES | |
Solving Linear Inequalities | |
Solving Compound Inequalities | |
Solving Absolute Value Equations and Inequalities | |
Linear Inequalities in Two Variables | |
Systems of Linear Inequalities | |
Key Concept: Inequalities | |
Accent on Teamwork | |
Chapter Review | |
Chapter Test | |
Cumulative Review Exercises | |
5. EXPONENTS, POLYNOMIALS, AND POLYNOMIAL FUNCTIONS | |
Exponents | |
Scientific Notation | |
Polynomials and Polynomial Functions | |
Multiplying Polynomials | |
The Greatest Common Factor and Factoring by Grouping | |
The Difference of Two Squares; the Sum and Difference of Two Cubes | |
Factoring Trinomials | |
Summary of Factoring Techniques | |
Solving Equations by Factoring | |
Key Concept: Polynomials | |
Accent on Teamwork | |
Chapter Review | |
Chapter Test | |
6. RATIONAL EXPRESSIONS | |
Rational Functions and Simplifying Rational Expressions | |
Proportion and Variation | |
Multiplying and Dividing Rational Expressions | |
Adding and Subtracting Rational Expressions | |
Complex Fractions | |
Equations Containing Rational Expressions | |
Dividing Polynomials | |
Key Concept: Expressions and Equations | |
Accent on Teamwork | |
Chapter Review | |
Chapter Test | |
Cumulative Review Exercises | |
7. RADICALS AND RATIONAL EXPONENTS | |
Radical Expressions and Radical Functions | |
Radical Equations | |
Rational Exponents | |
Simplifying and Combining Radical Expressions | |
Multiplying and Dividing Radical Expressions | |
Geometric Applications of Radicals | |
Key Concept: Radicals | |
Accent on Teamwork | |
Chapter Review | |
Chapter Test | |
8. QUADRATIC EQUATIONS, FUNCTIONS, AND INEQUALITIES | |
Completing the Square | |
The Quadratic Formula | |
Quadratic Functions and Their Graphs | |
Complex Numbers | |
The Discriminant and Equations That Can Be Written in Quadratic Form | |
Quadratic and Other Nonlinear Inequalities | |
Key Concept: Solving Quadratic Equations | |
Accent on Teamwork | |
Chapter Review | |
Chapter Test | |
Cumulative Review Exercises | |
9. EXPONENTIAL AND LOGARITHMIC FUNCTIONS | |
Algebra and Composition of Functions | |
Inverses of Functions | |
Exponential Functions | |
Base-e Exponential Functions | |
Logarithmic Functions | |
Base-e Logarithms | |
Properties of Logarithms | |
Exponential and Logarithmic Equations | |
Key Concept: Inverse Functions | |
Accent on Teamwork | |
Chapter Review | |
Chapter Test | |
10. CONIC SECTIONS; MORE GRAPHING | |
The Circle and the Parabola | |
The Ellipse | |
The Hyperbola | |
Solving Simultaneous Second-Degree Equations | |
Key Concept: Conic Sections | |
Accent on Teamwork | |
Chapter Review | |
Chapter Test | |
11. MISCELLANEOUS TOPICS | |
The Binomial Theorem | |
Arithmetic Sequences | |
Geometric Sequences | |
Permutations and Combinations | |
Probability | |
Key Concept: The Language of Algebra | |
Accent on Teamwork | |
Chapter Review | |
Chapter Test | |
Cumulative Review Exercises | |
Appendix I: Numerical Trigonometry | |
Appendix II: Synthetic Division | |
Appendix III: Tables | |
A | |
Powers and Roots | |
B | |
Base-10 Logarithms | |
C | |
Base-e Logarithms | |
Appendix IV: Answers To Selected Exercises | |
Index |