Intermediate Algebra

<p>1. Real Numbers and Algebraic Expressions</p> <p>1.1 Tips for Success in Mathematics</p> <p>1.2 Algebraic Expressions and Sets of Numbers</p> <p>1.3 Operations on Real Numbers, and Order of Operation</p> <p>1.4 Properties of Real Numbers and Algebraic Expressions</p> <p>&nbsp;</p> <p>2. Equations, Inequalities, and Problem Solving</p> <p>2.1 Linear Equation in One Variable</p> <p>2.2 An Introduction to Problem Solving</p> <p>2.3 Formulas and Problem Solving</p> <p>2.4 Linear Inequalities and Problem Solving</p> <p>2.5 Compound Inequalities</p> <p>2.6 Absolute Value Equations</p> <p>2.7 Absolute Value Inequalities</p> <p>&nbsp;</p> <p>3. Graphs and Functions</p> <p>3.1 Graphing Equations</p> <p>3.2 Introduction to Functions</p> <p>3.3 Graphing Linear Functions</p> <p>3.4 The Slope of a Line</p> <p>3.5 Equations of Lines</p> <p>3.6 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions</p> <p>3.7 Graphing Linear Inequalities</p> <p>&nbsp;</p> <p>4. Systems of Equations</p> <p>4.1 Solving Systems of Equations in Two Variables</p> <p>4.2 Solving Systems of Equations in Three Variables</p> <p>4.3 Systems of Linear Equations and Problem Solving</p> <p>4.4 Solving Systems of Equations by Matrices</p> <p>4.5 Systems of Linear Inequalities</p> <p>&nbsp;</p> <p>5. Exponents, Polynomials, and Polynomial Functions</p> <p>5.1 Exponents and Scientific Notation</p> <p>5.2 More Work with Exponents and Scientific Notation</p> <p>5.3 Polynomials and Polynomial Functions</p> <p>5.4 Multiplying Polynomials</p> <p>5.5 The Greatest Common Factor and Factoring by Grouping</p> <p>5.6 Factoring Trinomials</p> <p>5.7 Factoring by Special Products</p> <p>5.8 Solving Equations by Factoring and Problem Solving</p> <p>&nbsp;</p> <p>6. Rational Expressions</p> <p>6.1 Rational Functions and Multiplying and Dividing Rational Expressions</p> <p>6.2 Adding and Subtracting Rational Expressions</p> <p>6.3 Simplifying Complex Fractions</p> <p>6.4 Dividing Polynomials: Long Division and Synthetic Division</p> <p>6.5 Solving Equations Containing Rational Expressions</p> <p>6.6 Rational Equations and Problems Solving</p> <p>6.7 Variation and Problem Solving</p> <p>&nbsp;</p> <p>7. Rational Exponents, Radicals, and Complex Numbers</p> <p>7.1 Radicals and Radical Functions</p> <p>7.2 Rational Exponents</p> <p>7.3 Simplifying Radical Expressions</p> <p>7.4 Adding, Subtracting, and Multiplying Radical Expressions</p> <p>7.5 Rationalizing Denominators and Numerators of Radical Expressions</p> <p>7.6 Radical Equations and Problem Solving</p> <p>7.7 Complex Numbers</p> <p>&nbsp;</p> <p>8. Quadratic Equations and Functions</p> <p>8.1 Solving Quadratic Equations by Completing the Square</p> <p>8.2 Solving Quadratic Equations by the Quadratic Formula</p> <p>8.3 Solving Equations by Using Quadratic Methods</p> <p>8.4 Nonlinear Inequalities on One Variable</p> <p>8.5 Quadratic Functions and Their Graphs</p> <p>8.6 Further Graphing of Quadratic Functions</p> <p>&nbsp;</p> <p>9. Exponential and Logarithmic Functions</p> <p>9.1 The Algebra of Functions; Composite Functions</p> <p>9.2 Inverse Functions</p> <p>9.3 Exponential Functions</p> <p>9.4 Exponential Growth and Decay Functions</p> <p>9.5 Logarithmic Functions</p> <p>9.6 Properties of Logarithms</p> <p>9.7 Common Logarithms, Natural Logarithms, and Change of Base</p> <p>9.8 Exponential and Logarithmic Equations and Problem Solving</p> <p>&nbsp;</p> <p>10. Sequences, Series, and the Binomial Theorem</p> <p>10.1 Sequences</p> <p>10.2 Arithmetic and Geometric Sequences</p> <p>10.3 Series</p> <p>10.4 Partial Sums of Arithmetic and Geometric Sequences</p> <p>10.5 The Binomial Theorem</p> <p>&nbsp;</p> <p>11. Conic Sections</p> <p>11.1 The Parabola and the Circle</p> <p>11.2 The Ellipse and the Hyperbola</p> <p>11.3 Solving Nonlinear Systems of Equations</p> <p>11.4 Nonlinear Inequalities and Systems of Inequalities</p>