<p><strong>1. Whole Numbers</strong></p> <p>1.1 Introduction to Whole Numbers</p> <p>1.2 Adding and Subtracting Whole Numbers; Perimeter</p> <p>1.3 Multiplying and Dividing Whole Numbers; Area</p> <p>1.4 Exponents, Variables, and Algebraic Expressions</p> <p>1.5 Rounding and Estimating; Square Roots</p> <p>1.6 Order of Operations</p> <p>1.7 More with Equations and Problem Solving</p> <p><strong>2. Integers</strong></p> <p>2.1 Integers and the Number Line</p> <p>2.2 Adding Integers</p> <p>2.3 Subtracting Integers</p> <p>2.4 Multiplying and Dividing Integers</p> <p>2.5 Order of Operations; Averages</p> <p>2.6 Solving Equations That Have Integer Solutions</p> <p><strong>3. Algebraic Expressions and Linear Equations</strong></p> <p>3.1 Simplifying Algebraic Expressions</p> <p>3.2 Translating Words to Expressions and Equations</p> <p>3.3 Properties of Equality</p> <p>3.4 Solving Linear Equations in One Variable</p> <p>3.5 Applications and Problem Solving</p> <p><strong>4. Fractions</strong></p> <p>4.1 Introduction to Fractions and Mixed Numbers</p> <p>4.2 Prime Factorization and Lowest Terms</p> <p>4.3 Multiplying and Dividing Fractions</p> <p>4.4 Adding and Subtracting Fractions–Like Denominators</p> <p>4.5 Adding and Subtracting Fractions–Unlike Denominators</p> <p>4.6 Operations on Mixed Numbers</p> <p>4.7 Complex Fractions and Order of Operations</p> <p>4.8 Solving Equations Involving Fractions</p> <p><strong>5. Decimals</strong></p> <p>5.1 Introduction to Decimals</p> <p>5.2 Adding and Subtracting Decimals</p> <p>5.3 Multiplying and Dividing Decimals</p> <p>5.4 Real Numbers, Square Roots, and Order of Operations</p> <p>5.5 Solving Equations Involving Decimals</p> <p>5.6 Applications from Geometry and Statistics</p> <p><strong>6. Ratios, Proportions, and Measurement</strong></p> <p>6.1 Ratios and Rates</p> <p>6.2 Proportions and Similar Figures</p> <p>6.3 The U.S. System of Measurement</p> <p>6.4 The Metric System of Measurement</p> <p>6.5 U.S.—Metric Conversions; Temperature</p> <p>6.6 Time and Speed</p> <p><strong>7. Percent and Probability</strong></p> <p>7.1 Introduction to Percent; Circle Graphs</p> <p>7.2 Using Equations to Solve Percent Problems</p> <p>7.3 Using Proportions to Solve Percent Problems</p> <p>7.4 Applications: Sales Tax, Discounts, and Net Pay</p> <p>7.5 Applications: Simple and Compound Interest</p> <p>7.6 Probability and Percent Chance</p> <p><strong>8. Geometry</strong></p> <p>8.1 Plane Geometry; Points, Lines, and Angles</p> <p>8.2 Triangles</p> <p>8.3 Polygons and Circles</p> <p>8.4 Perimeter and Circumference</p> <p>8.5 Area, Volume, and Surface Area</p> <p><strong>9. Linear Equations and Inequalities in One Variable</strong></p> <p>9.1 Review of Linear Equations in One Variable</p> <p>9.2 Further Problem Solving</p> <p>9.3 Linear Inequalities in One Variable</p> <p><strong>10. Graphing Equations</strong></p> <p>10.1 Introduction to Graphing</p> <p>10.2 Equations in Two Variables</p> <p>10.3 Intercepts, Horizontal Lines, and Vertical Lines</p> <p>10.4 Slope and Rates of Change</p> <p>10.5 Slope—Intercept Form</p> <p>10.6 Point—Slope Form</p> <p>10.7 Introduction to Modeling</p> <p><strong>11. Systems of Linear Equations in Two Variables</strong></p> <p>11.1 Solving Systems of Linear Equations Graphically and Numerically</p> <p>11.2 Solving Systems of Linear Equations by Substitution</p> <p>11.3 Solving Systems of Linear Equations by Elimination</p> <p>11.4 Systems of Linear Inequalities</p> <p><strong>12. Polynomials and Exponents</strong></p> <p>12.1 Rules for Exponents</p> <p>12.2 Addition and Subtraction of Polynomials</p> <p>12.3 Multiplication of Polynomials</p> <p>12.4 Special Products</p> <p>12.5 Integer Exponents and the Quotient Rule</p> <p>12.6 Division of Polynomials</p> <p><strong>13. Factoring Polynomials and Solving Equations</strong></p> <p>13.1 Introduction to Factoring</p> <p>13.2 Factoring Trinomials I (x<sup>2</sup><strong> +</strong> bx<strong> +</strong> c)</p> <p>13.3 Factoring Trinomials II (ax<sup>2</sup><strong> +</strong> bx<strong> +</strong> c)</p> <p>13.4 Special Types of Factoring</p> <p>13.5 Summary of Factoring</p> <p>13.6 Solving Equations by Factoring I (Quadratics)</p> <p>13.7 Solving Equations by Factoring II (Higher Degree)</p> <p><strong>14. Rational Expressions</strong></p> <p>14.1 Introduction to Rational Expressions</p> <p>14.2 Multiplication and Division of Rational Expressions</p> <p>14.3 Addition and Subtraction of Rational Expressions–Like Denominators</p> <p>14.4 Addition and Subtraction of Rational Expressions–Unlike Denominators</p> <p>14.5 Complex Fractions</p> <p>14.6 Rational Equations and Formulas</p> <p>14.7 Proportions and Variation</p> <p><strong>15. Introduction to Functions</strong></p> <p>15.1 Functions and Their Representations</p> <p>15.2 Linear Functions</p> <p>15.3 Compound Inequalities</p> <p>15.4 Other Functions and Their Properties</p> <p>15.5 Absolute Value Equations and Inequalities</p> <p><strong>16. Systems of Linear Equations, Matrix Solutions, Determinants </strong></p> <p>16.1 Systems of Linear Equations in Three Variables</p> <p>16.2 Matrix Solutions of Linear Systems</p> <p>16.3 Determinants</p> <p><strong>17. Radical Expressions and Functions</strong></p> <p>17.1 Radical Expressions and Functions</p> <p>17.2 Rational Exponents</p> <p>17.3 Simplifying Radical Expressions</p> <p>17.4 Operations on Radical Expressions</p> <p>17.5 More Radical Functions</p> <p>17.6 Equations Involving Radical Expressions</p> <p>17.7 Complex Numbers</p> <p><strong>18. Quadratic Functions and Equations</strong></p> <p>18.1 Quadratic Functions and Their Graphs</p> <p>18.2 Parabolas and Modeling</p> <p>18.3 Quadratic Equations</p> <p>18.4 The Quadratic Formula</p> <p>18.5 Quadratic Inequalities</p> <p>18.6 Equations in Quadratic Form</p> <p><strong>19. Exponential and Logarithmic Functions</strong></p> <p>19.1 Composite and Inverse Functions</p> <p>19.2 Exponential Functions</p> <p>19.3 Logarithmic Functions</p> <p>19.4 Properties of Logarithms</p> <p>19.5 Exponential and Logarithmic Equations</p> <p><strong>20. Conic Sections</strong></p> <p>20.1 Parabolas and Circles</p> <p>20.2 Ellipses and Hyperbolas</p> <p>20.3 Nonlinear Systems of Equations and Inequalities</p> <p><strong>21. Sequences and Series</strong></p> <p>21.1 Sequences</p> <p>21.2 Arithmetic and Geometric Sequences</p> <p>21.3 Series</p> <p>21.4 The Binomial Theorem</p>