Preface | |
Walk-Through | |
Index of Applications | |
Algebra Basics | |
Introduction to Real Numbers | |
Operations with Real Numbers | |
Properties of Real Numbers | |
Laws of Exponents and Scientific Notation | |
Algebraic Expressions: Translating, Evaluating, and Simplifying | |
Linear Equations and Inequalities | |
Solving Linear Equations | |
Solving Literal Equations and Formulas | |
Solving Linear Inequalities | |
Solving Compound Inequalities | |
Solving Absolute Value Equations and Inequalities | |
Graphs, Linear Equations and Inequalities, and Functions | |
The Rectangular Coordinate System | |
Slope | |
Graphing Linear Equations | |
More on Graphing Linear Equations | |
Graphing Linear Inequalities | |
Introduction to Functions | |
Systems of Linear Equations and Inequalities | |
Solving Systems of Linear Equations by Graphing | |
Solving Systems of Linear Equations Algebraically by Substitution or Elimination | |
Solving Systems of Linear Equations in Three Variables | |
Solving Systems of Linear Equations by Using Matrices | |
Solving Systems of Linear Inequalities | |
Polynomials | |
Addition and Subtraction of Polynomials | |
Multiplication of Polynomials | |
Division of Polynomials | |
The Greatest Common Factor and Factoring by Grouping | |
Factoring Trinomials | |
Special Factoring | |
Solving Quadratic Equations by Factoring | |
Rational Expressions and Equations | |
Multiplication and Division of Rational Expressions | |
Addition and Subtraction of Rational Expressions | |
Complex Rational Expressions | |
Solving Rational Equations | |
Variation | |
Radical Expressions and Equations | |
Radical Expressions and Rational Exponents | |
Simplifying Radical Expressions | |
Addition and Subtraction of Radical Expressions | |
Multiplication and Division of Radical Expressions | |
Solving Radical Equations | |
Complex Numbers | |
Quadratic Equations, Functions, and Inequalities | |
Solving Quadratic Equations by Completing the Square | |
Solving Quadratic Equations by Using the Quadratic Formula | |
More on Quadratic Equations | |
Graphing Quadratic Functions | |
Solving Quadratic and Rational Inequalities | |
Exponential and Logarithmic Functions | |
The Algebra of Functions and Inverse Functions | |
Exponential Functions | |
Logarithmic Functions | |
Properties of Logarithms | |
Common Logarithms, Natural Logarithms, and Change of Base | |
Exponential and Logarithmic Equations | |
Conic Sections | |
Introduction to Conics | |
The Parabola | |
The Circle | |
The Ellipse and the Hyperbola | |
Solving Nonlinear Systems of Equations | |
Solving Nonlinear Inequalities and Nonlinear Systems of Inequalities | |
Answers | |
Glossary | |
Index | |
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