MyWorkBook for Elementary and Intermediate Algebra

<h2>Table of Contents</h2> <p> </p> <ol> <li><strong>Foundations of Algebra</strong> <ul> <li>1.1 Number Sets and the Structure of Algebra</li> <li>1.2 Fractions</li> <li>1.3 Adding and Subtracting Real Numbers; Properties of Real Numbers</li> <li>1.4 Multiplying and Dividing Real Numbers; Properties of Real Numbers</li> <li>1.5 Exponents, Roots, and Order of Operations</li> <li>1.6 Translating Word Phrases to Expressions</li> <li>1.7 Evaluating and Rewriting Expressions</li> </ul></li> <li><strong>Solving Linear Equations and Inequalities</strong> <ul> <li>2.1 Equations, Formulas, and the Problem-Solving Process</li> <li>2.2 The Addition Principle of Equality</li> <li>2.3 The Multiplication Principle of Equality</li> <li>2.4 Applying the Principles to Formulas</li> <li>2.5 Translating Word Sentences to Equations</li> <li>2.6 Ratios and Proportions</li> <li>2.7 Percents</li> <li>2.8 Solving Linear Inequalities</li> </ul></li> <li><strong>Graphing Linear Equations and Inequalities</strong> <ul> <li>3.1 The Rectangular Coordinate System</li> <li>3.2 Graphing Linear Equations</li> <li>3.3 Graphing Using Intercepts</li> <li>3.4 Slope–Intercept Form</li> <li>3.5 Point–Slope Form</li> <li>3.6 Graphing Linear Inequalities</li> <li>3.7 Introduction to Functions and Function Notation</li> </ul></li> <li><strong>Systems of Linear Equations and Inequalities</strong> <ul> <li>4.1 Solving Systems of Linear Equations Graphically</li> <li>4.2 Solving Systems of Linear Equations by Substitution; Applications</li> <li>4.3 Solving Systems of Linear Equations by Elimination; Applications</li> <li>4.4 Solving Systems of Linear Equations in Three Variables; Applications</li> <li>4.5 Solving Systems of Linear Equations Using Matrices</li> <li>4.6 Solving Systems of Linear Inequalities</li> </ul></li> <li><strong>Polynomials</strong> <ul> <li>5.1 Exponents and Scientific Notation</li> <li>5.2 Introduction to Polynomials</li> <li>5.3 Adding and Subtracting Polynomials</li> <li>5.4 Exponent Rules and Multiplying Monomials</li> <li>5.5 Multiplying Polynomials; Special Products</li> <li>5.6 Exponent Rules and Dividing Polynomials</li> </ul></li> <li><strong>Factoring</strong> <ul> <li>6.1 Greatest Common Factor and Factoring by Grouping</li> <li>6.2 Factoring Trinomials of the Form x² + bx + c</li> <li>6.3 Factoring Trinomials of the Form ax² + bx + c, where a ≠ 1</li> <li>6.4 Factoring Special Products</li> <li>6.5 Strategies for Factoring</li> <li>6.6 Solving Quadratic Equations by Factoring</li> <li>6.7 Graphs of Quadratic Equations and Functions</li> </ul></li> <li><strong>Rational Expressions and Equations</strong> <ul> <li>7.1 Simplifying Rational Expressions</li> <li>7.2 Multiplying and Dividing Rational Expressions</li> <li>7.3 Adding and Subtracting Rational Expressions with the Same Denominator</li> <li>7.4 Adding and Subtracting Rational Expressions with Different Denominators</li> <li>7.5 Complex Rational Expressions</li> <li>7.6 Solving Equations Containing Rational Expressions</li> <li>7.7 Applications with Rational Expressions, Including Variation</li> </ul></li> <li><strong>More on Inequalities, Absolute Value, and Functions</strong> <ul> <li>8.1 Compound Inequalities</li> <li>8.2 Equations Involving Absolute Value; Absolute Value Functions</li> <li>8.3 Inequalities Involving Absolute Value</li> </ul></li> <li><strong>Rational Exponents, Radicals, and Complex Numbers</strong> <ul> <li>9.1 Radical Expressions and Functions</li> <li>9.2 Rational Exponents</li> <li>9.3 Multiplying, Dividing, and Simplifying Radicals</li> <li>9.4 Adding, Subtracting, and Multiplying Radical Expressions</li> <li>9.5 Rationalizing Numerators and Denominators of Radical Expressions</li> <li>9.6 Radical Equations and Problem Solving</li> <li>9.7 Complex Numbers</li> </ul></li> <li><strong>Quadratic Equations and Functions</strong> <ul> <li>10.1 The Square Root Principle and Completing the Square</li> <li>10.2 Solving Quadratic Equations Using the Quadratic Formula</li> <li>10.3 Solving Equations That Are Quadratic in Form</li> <li>10.4 Graphing Quadratic Functions</li> <li>10.5 Solving Nonlinear Inequalities</li> <li>10.6 Function Operations</li> </ul></li> <li><strong>Exponential and Logarithmic Functions</strong> <ul> <li>11.1 Composite and Inverse Functions</li> <li>11.2 Exponential Functions</li> <li>11.3 Logarithmic Functions</li> <li>11.4 Properties of Logarithms</li> <li>11.5 Common and Natural Logarithms</li> <li>11.6 Exponential and Logarithmic Equations with Applications</li> </ul></li> <li><strong>Conic Sections</strong> <ul> <li>12.1 Parabolas and Circles</li> <li>12.2 Ellipses and Hyperbolas</li> <li>12.3 Nonlinear Systems of Equations</li> <li>12.4 Nonlinear Inequalities and Systems of Inequalities</li> </ul></li> <li><strong>R. Elementary Algebra Review</strong></li> </ol> <h3>Appendices</h3> <ol> <li>Mean, Median, and Mode</li> <li>Arithmetic Sequences and Series</li> <li>Geometric Sequences and Series</li> <li>The Binomial Theorem</li> <li>Synthetic Division</li> <li>Solving Systems of Linear Equations Using Cramer’s Rule</li> </ol> <p></p>