Intermediate Algebra

<h2>Table of Contents</h2> <p> </p> <ol> <li><strong>Real Numbers and Algebraic Expressions</strong> <ul> <li>1.1 Study Skill Tips for Success in Mathematics</li> <li>1.2 Algebraic Expressions and Sets of Numbers</li> <li>1.3 Operations on Real Numbers and Order of Operations <ul> <li>Integrated Review—Algebraic Expressions and Operations on Whole Numbers</li> </ul></li> <li>1.4 Properties of Real Numbers and Algebraic Expressions</li> </ul></li> <li><strong>Equations, Inequalities, and Problem Solving</strong> <ul> <li>2.1 Linear Equations in One Variable</li> <li>2.2 An Introduction to Problem Solving</li> <li>2.3 Formulas and Problem Solving</li> <li>2.4 Linear Inequalities and Problem Solving <ul> <li>Integrated Review—Linear Equations and Inequalities</li> </ul></li> <li>2.5 Compound Inequalities</li> <li>2.6 Absolute Value Equations</li> <li>2.7 Absolute Value Inequalities</li> </ul></li> <li><strong>Graphs and Functions</strong> <ul> <li>3.1 Graphing Equations</li> <li>3.2 Introduction to Functions</li> <li>3.3 Graphing Linear Functions</li> <li>3.4 The Slope of a Line</li> <li>3.5 Equations of Lines <ul> <li>Integrated Review—Linear Equations in Two Variables</li> </ul></li> <li>3.6 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions</li> <li>3.7 Graphing Linear Inequalities</li> </ul></li> <li><strong>Systems of Equations</strong> <ul> <li>4.1 Solving Systems of Linear Equations in Two Variables</li> <li>4.2 Solving Systems of Linear Equations in Three Variables</li> <li>4.3 Systems of Linear Equations and Problem Solving <ul> <li>Integrated Review—Systems of Linear Equations</li> </ul></li> <li>4.4 Solving Systems of Equations by Matrices</li> <li>4.5 Systems of Linear Inequalities</li> </ul></li> <li><strong>Exponents, Polynomials, and Polynomial Functions</strong> <ul> <li>5.1 Exponents and Scientific Notation</li> <li>5.2 More Work with Exponents and Scientific Notation</li> <li>5.3 Polynomials and Polynomial Functions</li> <li>5.4 Multiplying Polynomials</li> <li>5.5 The Greatest Common Factor and Factoring by Grouping</li> <li>5.6 Factoring Trinomials</li> <li>5.7 Factoring by Special Products <ul> <li>Integrated Review—Operations on Polynomials and Factoring Strategies</li> </ul></li> <li>5.8 Solving Equations by Factoring and Problem Solving</li> </ul></li> <li><strong>Rational Expressions</strong> <ul> <li>6.1 Rational Functions and Multiplying and Dividing Rational Expressions</li> <li>6.2 Adding and Subtracting Rational Expressions</li> <li>6.3 Simplifying Complex Fractions</li> <li>6.4 Dividing Polynomials: Long Division and Synthetic Division</li> <li>6.5 Solving Equations Containing Rational Expressions <ul> <li>Integrated Review—Expressions and Equations Containing Rational Expressions</li> </ul></li> <li>6.6 Rational Equations and Problem Solving</li> <li>6.7 Variation and Problem Solving</li> </ul></li> <li><strong>Rational Exponents, Radicals, and Complex Numbers</strong> <ul> <li>7.1 Radicals and Radical Functions</li> <li>7.2 Rational Exponents</li> <li>7.3 Simplifying Radical Expressions</li> <li>7.4 Adding, Subtracting, and Multiplying Radical Expressions</li> <li>7.5 Rationalizing Denominators and Numerators of Radical Expressions <ul> <li>Integrated Review—Radicals and Rational Exponents</li> </ul></li> <li>7.6 Radical Equations and Problem Solving</li> <li>7.7 Complex Numbers</li> </ul></li> <li><strong>Quadratic Equations and Functions</strong> <ul> <li>8.1 Solving Quadratic Equations by Completing the Square</li> <li>8.2 Solving Quadratic Equations by the Quadratic Formula</li> <li>8.3 Solving Equations by Using Quadratic Methods <ul> <li>Integrated Review—Summary on Solving Quadratic Equations</li> </ul></li> <li>8.4 Nonlinear Inequalities in One Variable</li> <li>8.5 Quadratic Functions and Their Graphs</li> <li>8.6 Further Graphing of Quadratic Functions</li> </ul></li> <li><strong>Exponential and Logarithmic Functions</strong> <ul> <li>9.1 The Algebra of Functions; Composite Functions</li> <li>9.2 Inverse Functions</li> <li>9.3 Exponential Functions</li> <li>9.4 Exponential Growth and Decay Functions</li> <li>9.5 Logarithmic Functions</li> <li>9.6 Properties of Logarithms <ul> <li>Integrated Review—Functions and Properties of Logarithms</li> </ul></li> <li>9.7 Common Logarithms, Natural Logarithms, and Change of Base</li> <li>9.8 Exponential and Logarithmic Equations and Problem Solving</li> </ul></li> <li><strong>Conic Sections</strong> <ul> <li>10.1 The Parabola and the Circle</li> <li>10.2 The Ellipse and the Hyperbola <ul> <li>Integrated Review—Graphing Conic Sections</li> </ul></li> <li>10.3 Solving Nonlinear Systems of Equations</li> <li>10.4 Nonlinear Inequalities and Systems of Inequalities</li> </ul></li> <li><strong>Sequences, Series, and the Binomial Theorem</strong> <ul> <li>11.1 Sequences</li> <li>11.2 Arithmetic and Geometric Sequences</li> <li>11.3 Series <ul> <li>Integrated Review—Sequences and Series</li> </ul></li> <li>11.4 Partial Sums of Arithmetic and Geometric Sequences</li> <li>11.5 The Binomial Theorem</li> </ul></li> </ol> <h3>Appendices</h3> <ol> <li>Geometry</li> <li>Stretching and Compressing Graphs of Absolute Value Functions</li> <li>Solving Systems of Equations Using Determinants</li> <li>An Introduction to Using a Graphing Utility</li> </ol> <h4>Student Resources</h4> <h4>Study Skills Builders</h4> <h4>Bigger Picture—Study Guide Outline</h4> <h4>Practice Final Exam</h4> <p></p>