<p></p> <ol> <li><strong>Algebra, Mathematical Models, and Problem Solving</strong> <ul> <li>1.1 Algebraic Expressions, Real Numbers, and Interval Notation</li> <li>1.2 Operations with Real Numbers and Simplifying Algebraic Expressions</li> <li>1.3 Graphing Equations</li> <li>1.4 Solving Linear Equations</li> <li>Mid-Chapter Check Point</li> <li>1.5 Problem Solving and Using Formulas</li> <li>1.6 Properties of Integral Exponents</li> <li>1.7 Scientific Notation</li> </ul></li> <li><strong>Functions and Linear Functions</strong> <ul> <li>2.1 Introduction to Functions</li> <li>2.2 Graphs of Functions</li> <li>2.3 The Algebra of Functions</li> <li>Mid-Chapter Check Point</li> <li>2.4 Linear Functions and Slope</li> <li>2.5 The Point-Slope Form of the Equation of a Line</li> </ul></li> <li><strong>Systems of Linear Equations</strong> <ul> <li>3.1 Systems of Linear Equations in Two Variables</li> <li>3.2 Problem Solving and Business Applications Using Systems of Equations</li> <li>3.3 Systems of Linear Equations in Three Variables</li> <li>Mid-Chapter Check Point</li> <li>3.4 Matrix Solutions to Linear Systems</li> <li>3.5 Determinants and Cramer’s Rule</li> </ul></li> <li><strong>Inequalities and Problem Solving</strong> <ul> <li>4.1 Solving Linear Inequalities</li> <li>4.2 Compound Inequalities</li> <li>4.3 Equations and Inequalities Involving Absolute Value</li> <li>Mid-Chapter Check Point</li> <li>4.4 Linear Inequalities in Two Variables</li> <li>4.5 Linear Programming</li> </ul></li> <li><strong>Polynomials, Polynomial Functions, and Factoring</strong> <ul> <li>5.1 Introduction to Polynomials and Polynomial Functions</li> <li>5.2 Multiplication of Polynomials</li> <li>5.3 Greatest Common Factors and Factoring by Grouping</li> <li>5.4 Factoring Trinomials</li> <li>Mid-Chapter Check Point</li> <li>5.5 Factoring Special Forms</li> <li>5.6 A General Factoring Strategy</li> <li>5.7 Polynomial Equations and Their Applications</li> </ul></li> <li><strong>Rational Expressions, Functions, and Equations</strong> <ul> <li>6.1 Rational Expressions and Functions; Multiplying and Dividing</li> <li>6.2 Adding and Subtracting Rational Expressions</li> <li>6.3 Complex Rational Expressions</li> <li>6.4 Division of Polynomials</li> <li>Mid-Chapter Check Point</li> <li>6.5 Synthetic Division and the Remainder Theorem</li> <li>6.6 Rational Equations</li> <li>6.7 Formulas and Applications of Rational Equations</li> <li>6.8 Modeling Using Variation</li> </ul></li> <li><strong>Radicals, Radical Functions, and Rational Exponents</strong> <ul> <li>7.1 Radical Expressions and Functions</li> <li>7.2 Rational Exponents</li> <li>7.3 Multiplying and Simplifying Radical Expressions</li> <li>7.4 Adding, Subtracting, and Dividing Radical Expressions</li> <li>Mid-Chapter Check Point</li> <li>7.5 Multiplying with More Than One Term and Rationalizing Denominators</li> <li>7.6 Radical Equations</li> <li>7.7 Complex Numbers</li> </ul></li> <li><strong>Quadratic Equations and Functions</strong> <ul> <li>8.1 The Square Root Property and Completing the Square</li> <li>8.2 The Quadratic Formula</li> <li>8.3 Quadratic Functions and Their Graphs</li> <li>Mid-Chapter Check Point</li> <li>8.4 Equations Quadratic in Form</li> <li>8.5 Polynomial and Rational Inequalities</li> </ul></li> <li><strong>Exponents and Logarithmic Functions</strong> <ul> <li>9.1 Exponential Functions</li> <li>9.2 Composite and Inverse Functions</li> <li>9.3 Logarithmic Functions</li> <li>9.4 Properties of Logarithms</li> <li>Mid-Chapter Check Point</li> <li>9.5 Exponential and Logarithmic Equations</li> <li>9.6 Exponential Growth and Decay; Modeling Data</li> </ul></li> <li><strong>Conic Sections and Systems of Nonlinear Equations</strong> <ul> <li>10.1 Distance and Midpoint Formulas; Circles</li> <li>10.2 The Ellipse</li> <li>10.3 The Hyperbola</li> <li>Mid-Chapter Check Point</li> <li>10.4 The Parabola; Identifying Conic Sections</li> <li>10.5 Systems of Nonlinear Equations in Two Variables</li> </ul></li> <li><strong>Sequences, Series, and the Binomial Theorem</strong> <ul> <li>11.1 Sequences and Summation Notation</li> <li>11.2 Arithmetic Sequences</li> <li>11.3 Geometric Sequences and Series</li> <li>Mid-Chapter Check Point</li> <li>11.4 The Binomial Theorem</li> </ul></li> </ol> <p></p>
