Introductory Algebra

<ul> <li><strong>Chapter R. Prealgebra Review</strong> <ul> <li>R.1 Factors and the Least Common Multiple</li> <li>R.2 Fractions</li> <li>R.3 Decimals and Percents</li> <li>R.4 Reading Pictographs and Bar, Line, and Circle Graphs</li> </ul></li> <li><strong>Chapter 1. Real Numbers and Introduction to Algebra</strong> <ul> <li>1.1 Tips for Success in Mathematics</li> <li>1.2 Symbols and Sets of Numbers</li> <li>1.3 Exponents, Order of Operations, and Variable Expressions</li> <li>1.4 Adding Real Numbers</li> <li>1.5 Subtracting Real Numbers <ul> <li>Integrated Review – Operations on Real Numbers</li> </ul></li> <li>1.6 Multiplying and Dividing Real Numbers</li> <li>1.7 Properties of Real Numbers</li> <li>1.8 Simplifying Expressions</li> </ul></li> <li><strong>Chapter 2. Equations, Inequalities, and Problem Solving</strong> <ul> <li>2.1 The Addition Property of Equality</li> <li>2.2 The Multiplication Property of Equality</li> <li>2.3 Further Solving Linear Equations <ul> <li>Integrated Review – Solving Linear Equations</li> </ul></li> <li>2.4 An Introduction to Problem Solving</li> <li>2.5 Formulas and Problem Solving</li> <li>2.6 Percent and Mixture Problem Solving</li> <li>2.7 Solving Linear Inequalities and Problem Solving</li> </ul></li> <li><strong>Chapter 3. Exponents and Polynomials</strong> <ul> <li>3.1 Exponents</li> <li>3.2 Negative Exponents and Scientific Notation</li> <li>3.3 Introduction to Polynomials</li> <li>3.4 Adding and Subtracting Polynomials</li> <li>3.5 Multiplying Polynomials</li> <li>3.6 Special Products <ul> <li>Integrated Review – Exponents and Operations on Polynomials</li> </ul></li> <li>3.7 Dividing Polynomials</li> </ul></li> <li><strong>Chapter 4. Factoring Polynomials</strong> <ul> <li>4.1 The Greatest Common Factor and Factoring by Grouping</li> <li>4.2 Factoring Trinomials of the Form x² bx + c</li> <li>4.3 Factoring Trinomials of the Form ax² + bx + c</li> <li>4.4 Factoring Trinomials of the Form ax² + bx + c by Grouping</li> <li>4.5 Factoring Perfect Square Trinomials and the Difference of Two Squares <ul> <li>Integrated Review – Choosing a Factoring Strategy</li> </ul></li> <li>4.6 Solving Quadratic Equations by Factoring</li> <li>4.7 Quadratic Equations and Problem Solving</li> </ul></li> <li><strong>Chapter 5. Rational Expressions</strong> <ul> <li>5.1 Simplifying Rational Expressions</li> <li>5.2 Multiplying and Dividing Rational Expressions</li> <li>5.3 Adding and Subtracting Rational Expressions with the Same Denominator and Least Common Denominator</li> <li>5.4 Adding and Subtracting Rational Expressions with Different Denominators</li> <li>5.5 Solving Equations Containing Rational Expressions <ul> <li>Integrated Review – Summary on Rational Expressions</li> </ul></li> <li>5.6 Proportions and Problem Solving with Rational Equations</li> <li>5.7 Simplifying Complex Fractions</li> </ul></li> <li><strong>Chapter 6. Graphing Equations and Inequalities</strong> <ul> <li>6.1 The Rectangular Coordinate System</li> <li>6.2 Graphing Linear Equations</li> <li>6.3 Intercepts</li> <li>6.4 Slope and Rate of Change</li> <li>6.5 Equations of Lines <ul> <li>Integrated Review – Summary on Linear Equations</li> </ul></li> <li>6.6 Introduction to Functions</li> <li>6.7. Graphing Linear Inequalities in two Variables</li> </ul></li> <li><strong>Chapter 7. Systems of Equations</strong> <ul> <li>7.1 Solving systems of Linear Equations by Graphing</li> <li>7.2 Solving Systems of Linear Equations by Substitution</li> <li>7.3 Solving Systems of Linear Equations by Addition <ul> <li>Integrated Review – Systems of Linear Equations</li> </ul></li> <li>7.4 Systems of Linear Equations and Problem Solving</li> </ul></li> <li><strong>Chapter 8. Roots and Radicals</strong> <ul> <li>8.1 Introduction to Radicals</li> <li>8.2 Simplifying Radicals</li> <li>8.3 Adding and Subtracting Radicals</li> <li>8.4 Multiplying and Dividing Radicals <ul> <li>Integrated Review – Simplifying Radicals</li> </ul></li> <li>8.5 Solving Equations Containing Radicals</li> <li>8.6 Radical Equations and Problem Solving</li> <li>8.7 Direct and Inverse Variation Including Radical Applications</li> </ul></li> <li><strong>Chapter 9. Quadratic Equations</strong> <ul> <li>9.1 Solving Quadratic Equations by the Square Root Property</li> <li>9.2 Solving Quadratic Equations by Completing the Square</li> <li>9.3 Solving Quadratic Equations by the Quadratic Formula <ul> <li>Integrated Review – Summary of Solving Quadratic Equations</li> </ul></li> <li>9.4 Graphing Quadratic Equations in Two Variables</li> </ul></li> </ul> <h3>Appendices</h3> <ul> <li>A. Tables</li> <li>B. Factoring Sums and Differences of Cubes</li> <li>C. Mean, Median, Mode, Range, and Intro to Statistics</li> <li>D. Sets</li> <li>E. Review of Angles, Lines, and Special Triangles</li> <li>F. Interval Notation and Finding Domains and Ranges from Graphs</li> </ul>