<p><strong>1. Review of Real Numbers</strong><br> 1.1 Study Skill Tips for Success in Mathematics<br> 1.2 Symbols and Sets of Numbers<br> 1.3 Fractions and Mixed Numbers<br> 1.4 Exponents, Order of Operations, Variable Expressions and Equations<br> 1.5 Adding Real Numbers<br> 1.6 Subtracting Real Numbers<br> 1.7 Multiplying and Dividing Real Numbers<br> 1.8 Properties of Real Numbers<br> <strong>2. Equations, Inequalities, and Problem Solving</strong><br> 2.1 Simplifying Algebraic Expressions<br> 2.2 The Addition and Multiplication Properties of Equality<br> 2.3 Solving Linear Equations<br> 2.4 An Introduction to Problem Solving<br> 2.5 Formulas and Problem Solving<br> 2.6 Percent and Mixture Problem Solving<br> 2.7 Further Problem Solving<br> 2.8 Solving Linear Inequalities<br> <strong>3. Graphing</strong><br> 3.1 Reading Graphs and the Rectangular Coordinate System<br> 3.2 Graphing Linear Equations<br> 3.3 Intercepts<br> 3.4 Slope and Rate of Change<br> 3.5 Equation of Lines<br> 3.6 Functions<br> <strong>4. Solving Systems of Linear Equations</strong><br> 4.1 Solving Systems of Linear Equations by Graphing<br> 4.2 Solving Systems of Linear Equations by Substitution<br> 4.3 Solving Systems of Linear Equations by Addition<br> 4.4 Solving Systems of Linear Equations in Three Variables<br> 4.5 Systems of Linear Equations and Problem Solving<br> <strong>5. Exponents and Polynomials</strong><br> 5.1 Exponents<br> 5.2 Polynomial Functions and Adding and Subtracting Polynomials<br> 5.3 Multiplying Polynomials<br> 5.4 Special Products<br> 5.5 Negative Exponents and Scientific Notation<br> 5.6 Dividing Polynomials<br> 5.7 Synthetic Division and the Remainder Theorem<br> <strong>6. Factoring Polynomials</strong><br> 6.1 The Greatest Common Factor and Factoring by Grouping<br> 6.2 Factoring Trinomials of the Form x<sup>2</sup> + bx + c<br> 6.3 Factoring Trinomials of the Form ax<sup>2</sup> + bx + c and Perfect Square Trinomials<br> 6.4 Factoring Trinomials of the Form ax<sup>2</sup> + bx + c by Grouping<br> 6.5 Factoring Binomials<br> 6.6 Solving Quadratic Equations by Factoring<br> 6.7 Quadratic Equations and Problem Solving<br> <strong>7. Rational Expressions</strong><br> 7.1 Rational Functions and Simplifying Rational Expressions<br> 7.2 Multiplying and Dividing Rational Expressions<br> 7.3 Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator<br> 7.4 Adding and Subtracting Rational Expressions with Unlike Denominators<br> 7.5 Solving Equations Containing Rational Expressions<br> 7.6 Proportion and Problem Solving with Rational Equations<br> 7.7 Simplifying Complex Fractions<br> <strong>8. More on Functions and Graphs</strong><br> 8.1 Graphing and Writing Linear Functions<br> 8.2 Reviewing Function Notation and Graphing Nonlinear Functions<br> 8.3 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions<br> 8.4 Variation and Problem Solving<br> <strong>9. Inequalities and Absolute Value</strong><br> 9.1 Compound Inequalities<br> 9.2 Absolute Value Equations<br> 9.3 Absolute Value Inequalities<br> 9.4 Graphing Linear Inequalities in Two Variables and Systems of Linear Inequalities<br> <strong>10. Rational Exponents, Radicals, and Complex Numbers</strong><br> 10.1 Radicals and Radical Functions<br> 10.2 Rational Exponents<br> 10.3 Simplifying Radical Expressions<br> 10.4 Adding, Subtracting, and Multiplying Radical Expressions<br> 10.5 Rationalizing Denominators and Numerators of Radical Expressions<br> 10.6 Radical Equations and Problem Solving<br> 10.7 Complex Numbers<br> <strong>11. Quadratic Equations and Functions</strong><br> 11.1 Solving Quadratic Equations by Completing the Square<br> 11.2 Solving Quadratic Equations by the Quadratic Formula<br> 11.3 Solving Equations by Using Quadratic Methods<br> 11.4 Nonlinear Inequalities in One Variable<br> 11.5 Quadratic Functions and Their Graphs<br> 11.6 Further Graphing of Quadratic Functions<br> <strong>12. Exponential and Logarithmic Functions</strong><br> 12.1 The Algebra of Functions; Composite Functions<br> 12.2 Inverse Functions<br> 12.3 Exponential Functions<br> 12.4 Exponential Growth and Decay Functions<br> 12.5 Logarithmic Functions<br> 12.6 Properties of Logarithms<br> 12.7 Common Logarithms, Natural Logarithms, and Change of Base<br> 12.8 Exponential and Logarithmic Equations and Problem Solving<br> <strong>13. Conic Sections</strong><br> 13.1 The Parabola and the Circle<br> 13.2 The Ellipse and the Hyperbola<br> 13.3 Solving Nonlinear Systems of Equations<br> 13.4 Nonlinear Inequalities and Systems of Inequalities<br> <strong>14. Sequences, Series, and the Binomial Theorem</strong><br> 14.1 Sequences<br> 14.2 Arithmetic and Geometric Sequences<br> 14.3 Series<br> 14.4 Partial Sums of Arithmetic and Geometric Sequences<br> 14.5 The Binomial Theorem</p>