- ISBN: 9780201771572 | 0201771578
- Cover: Paperback
- Copyright: 1/1/2004
Foundations of Algebra | |
Number Sets and the Structure of Algebra | |
Fractions | |
Adding and Subtracting Real Numbers | |
Properties of Real Numbers | |
Multiplying and Dividing Real Numbers | |
Properties of Real Numbers | |
Exponents, Roots, and Order of Operations | |
Translating Word Phrases to Expressions | |
Evaluating and Rewriting Expressions | |
Solving Linear Equations and Inequalities | |
Equations, Formulas, and the Problem-Solving Process | |
The Addition Principle | |
The Multiplication Principle | |
Applying the Principles to Formulas | |
Translating Word Sentences to Equations | |
Solving Linear Inequalities | |
Problem Solving | |
Ratios and Proportions | |
Percents | |
Problems with Two or More Unknowns | |
Rates | |
Investment and Mixture | |
Graphing Linear Equations and Inequalities | |
The Rectangular Coordinate System | |
Graphing Linear Equations | |
Graphing Using Intercepts | |
Slope-Intercept Form | |
Point-Slope Form | |
Graphing Linear Inequalities | |
Introduction to Functions and Function Notation | |
Polynomials | |
Exponents and Scientific Notation | |
Introduction to Polynomials | |
Adding and Subtracting Polynomials | |
Exponent Rules and Multiplying Monomials | |
Multiplying Polynomials; Special Products | |
Exponent Rules and Dividing Polynomials | |
Factoring | |
Greatest Common Factor and Factoring by Grouping | |
Factoring Trinomials of the Form xsup2; + bx + c | |
Factoring Trinomials of the Form axsup2; + bx + c, where a ` 1 | |
Factoring Special Products | |
Strategies for Factoring | |
Solving Quadratic Equations by Factoring | |
Graphs of Quadratic Equations and Functions | |
Rational Expressions and Equations | |
Simplifying Rational Expressions | |
Multiplying and Dividing Rational Expressions | |
Adding and Subtracting Rational Expressions with the Same Denominator | |
Adding and Subtracting Rational Expressions with Different Denominators | |
Complex Rational Expressions | |
Solving Equations Containing Rational Expressions | |
Applications with Rational Expressions | |
More on Inequalities, Absolute Value, and Functions | |
Compound Inequalities | |
Equations Involving Absolute Value | |
Inequalities Involving Absolute Value | |
Functions and Graphing | |
Function Operations | |
Systems of Equations | |
Solving Systems of Linear Equations Graphically | |
Solving Systems of Linear Equations by Substitution | |
Solving Systems of Linear Equations by Elimination | |
Solving Systems of Linear Equations in Three Variables | |
Solving Systems of Linear Equations Using Matrices | |
Cramer''s Rule | |
Solving Systems of Linear Inequalities | |
Rational Exponents, Radicals, and Complex Numbers | |
Radical Expressions and Functions | |
Rational Exponents | |
Multiplying, Dividing, and Simplifying Radicals | |
Adding, Subtracting, and Multiplying Radical Expressions | |
Rationalizing Numerators and Denominators of Radical Expressions | |
Radical Equations and Problem Solving | |
Complex Numbers | |
Quadratic Equations | |
Completing the Square | |
Solving Quadratic Equations Using the Quadratic Formula | |
Solving Equations That Are Quadratic in Form | |
Graphing Quadratic Functions | |
Solving Nonlinear Inequalities | |
Exponential and Logarithmic Functions | |
Composite and Inverse Functions | |
Exponential Functions | |
Logarithmic Functions | |
Properties of Logarithms | |
Common and Natural Logarithms | |
Exponential and Logarithmic Equations with Applications | |
Conic Sections | |
The Parabola and the Circle | |
Ellipses and Hyperbolas | |
Nonlinear Systems of Equations | |
Nonlinear Inequalities and Sys | |
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