<h2>Table of Contents</h2> <p> </p> <ol> <li><strong>Algebra and Problem Solving</strong> <ul> <li>1.1 Some Basics of Algebra</li> <li>1.2 Operations and Properties of Real Numbers</li> <li>1.3 Solving Equations</li> <li>1.4 Introduction to Problem Solving</li> <li>1.5 Formulas, Models, and Geometry</li> <li>1.6 Properties of Exponents</li> <li>1.7 Scientific Notation</li> </ul></li> <li><strong>Graphs, Functions, and Linear Equations</strong> <ul> <li>2.1 Graphs</li> <li>2.2 Functions</li> <li>2.3 Linear Functions: Slope, Graphs, and Models</li> <li>2.4 Another Look at Linear Graphs</li> <li>2.5 Equations of Lines and Modeling</li> <li>2.6 The Algebra of Functions</li> </ul></li> <li><strong>Systems of Linear Equations and Problem Solving</strong> <ul> <li>3.1 Systems of Equations in Two Variables</li> <li>3.2 Solving by Substitution or Elimination</li> <li>3.3 Solving Applications: Systems of Two Equations</li> <li>3.4 Systems of Equations in Three Variables</li> <li>3.5 Solving Applications: Systems of Three Equations</li> <li>3.6 Elimination Using Matrices</li> <li>3.7 Determinants and Cramer’S Rule</li> <li>3.8 Business and Economics Applications</li> </ul></li> <li><strong>Inequalities and Problem Solving</strong> <ul> <li>4.1 Inequalities and Applications</li> <li>4.2 Intersections, Unions, and Compound Inequalities</li> <li>4.3 Absolute-Value Equations and Inequalities</li> <li>4.4 Inequalities in Two Variables</li> <li>4.5 Applications Using Linear Programming</li> </ul></li> <li><strong>Polynomials and Polynomial Functions</strong> <ul> <li>5.1 Introduction to Polynomials and Polynomial Functions</li> <li>5.2 Multiplication of Polynomials</li> <li>5.3 Common Factors and Factoring by Grouping</li> <li>5.4 Factoring Trinomials</li> <li>5.5 Factoring Perfect-Square Trinomials and Differences of Squares</li> <li>5.6 Factoring Sums or Differences of Cubes</li> <li>5.7 Factoring: A General Strategy</li> <li>5.8 Applications of Polynomial Equations</li> </ul></li> <li><strong>Rational Expressions, Equations, and Functions</strong> <ul> <li>6.1 Rational Expressions and Functions: Multiplying and Dividing</li> <li>6.2 Rational Expressions and Functions: Adding and Subtracting</li> <li>6.3 Complex Rational Expressions</li> <li>6.4 Rational Equations</li> <li>6.5 Solving Applications Using Rational Equations</li> <li>6.6 Division of Polynomials</li> <li>6.7 Synthetic Division and the Remainder Theorem</li> <li>6.8 Formulas, Applications, and Variation</li> </ul></li> <li><strong>Exponents and Radicals</strong> <ul> <li>7.1 Radical Expressions and Functions</li> <li>7.2 Rational Numbers as Exponents</li> <li>7.3 Multiplying Radical Expressions</li> <li>7.4 Dividing Radical Expressions</li> <li>7.5 Expressions Containing Several Radical Terms</li> <li>7.6 Solving Radical Equations</li> <li>7.7 The Distance Formula, the Midpoint Formula, and Other Applications</li> <li>7.8 The Complex Numbers</li> </ul></li> <li><strong>Quadratic Functions and Equations</strong> <ul> <li>8.1 Quadratic Equations</li> <li>8.2 The Quadratic Formula</li> <li>8.3 Studying Solutions of Quadratic Equations</li> <li>8.4 Applications Involving Quadratic Equations</li> <li>8.5 Equations Reducible to Quadratic</li> <li>8.6 Quadratic Functions and Their Graphs</li> <li>8.7 More About Graphing Quadratic Functions</li> <li>8.8 Problem Solving and Quadratic Functions</li> <li>8.9 Polynomial Inequalities and Rational Inequalities</li> </ul></li> <li><strong>Exponential Functions and Logarithmic Functions</strong> <ul> <li>9.1 Composite Functions and Inverse Functions</li> <li>9.2 Exponential Functions</li> <li>9.3 Logarithmic Functions</li> <li>9.4 Properties of Logarithmic Functions</li> <li>9.5 Common Logarithms and Natural Logarithms</li> <li>9.6 Solving Exponential Equations and Logarithmic Equations</li> <li>9.7 Applications of Exponential Functions and Logarithmic Functions</li> </ul></li> <li><strong>Conic Sections</strong> <ul> <li>10.1 Conic Sections: Parabolas and Circles</li> <li>10.2 Conic Sections: Ellipses</li> <li>10.3 Conic Sections: Hyperbolas</li> <li>10.4 Nonlinear Systems of Equations</li> </ul></li> <li><strong>Sequences, Series, and the Binomial Theorem</strong> <ul> <li>11.1 Sequences and Series</li> <li>11.2 Arithmetic Sequences and Series</li> <li>11.3 Geometric Sequences and Series</li> <li>11.4 The Binomial Theorem</li> </ul></li> </ol> <p></p>
