# College Prep Math

“Do not worry too much about your difficulties in mathematics, I can assure you that mine are still greater.” ~ Albert Einstein

• Chapter 1: Real Numbers and Algebraic Expressions
• 1.1 Study Skill Tips for Success in Mathematics
• 1.2 Algebraic Expressions and Sets of Numbers
• 1.3 Operations on Real Numbers and Order of Operations
• 1.4 Properties of Real Numbers and Algebraic Expressions
• Chapter 2: Equations, Inequalities, and Problem Solving
• 2.1 Linear Equations in One Variable
• 2.2 An Introduction to Problem Solving
• 2.3 Formulas and Problem Solving
• 2.4 Linear Inequalities and Problem Solving
• 2.5 Compound Inequalities
• 2.6 Absolute Value Equations
• 2.7 Absolute Value Inequalities
• Chapter 3: Graphs and Functions
• 3.1 Graphing Equations
• 3.2 Introduction to Functions
• 3.3 Graphing Linear Functions
• 3.4 The Slope of a Line
• 3.5 Equations of Lines
• 3.6 Graphing Piecewise-Defined Functions and Shifting and Reflecting Graphs of Functions
• 3.7 Graphing Linear Inequalities
• Chapter 4: Systems of Equations
• 4.1 Solving Systems of Linear Equations in Two Variables
• 4.2 Solving Systems of Linear Equations in Three Variables
• 4.3 Systems of Linear Equations and Problem Solving
• 4.4 Solving Systems of Equations by Matrices
• 4.5 Systems of Linear Inequalities
• Chapter 5: Exponents, Polynomials, and Polynomial Functions
• 5.1 Exponents and Scientific Notation
• 5.2 More Work with Exponents and Scientific Notation
• 5.3 Polynomials and Polynomial Functions
• 5.4 Multiplying Polynomials
• 5.5 The Greatest Common Factor and Factoring by Grouping
• 5.6 Factoring Trinomials
• 5.7 Factoring by Special Products
• 5.8 Solving Equations by Factoring and Problem Solving
• Chapter 6: Rational Expressions
• 6.1 Rational Functions and Multiplying and Dividing Rational Expressions
• 6.2 Adding and Subtracting Rational Expressions
• 6.3 Simplifying Complex Fractions
• 6.4 Dividing Polynomials: Long Division and Synthetic Division
• 6.5 Solving Equations Containing Rational Expressions
• 6.6 Rational Equations and Problem Solving
• 6.7 Variation and Problem Solving
• Chapter 7: Rational Exponents, Radicals, and Complex Numbers
• 7.2 Rational Exponents
• 7.5 Rationalizing Denominators and Numerators of Radical Expressions
• 7.6 Radical Equations and Problem Solving
• 7.7 Complex Numbers
• Chapter 8: Quadratic Equations and Functions
• 8.1 Solving Quadratic Equations by Completing the Square
• 8.3 Solving Equations by Using Quadratic Methods
• 8.4 Nonlinear Inequalities in One Variable
• 8.5 Quadratic Functions and Their Graphs
• 8.6 Further Graphing of Quadratic Functions
• Chapter 9: Exponential and Logarithmic Functions
• 9.1 The Algebra of Functions; Composite Functions
• 9.2 Inverse Functions
• 9.3 Exponential Functions
• 9.4 Exponential Growth and Decay Functions
• 9.5 Logarithmic Functions
• 9.6 Properties of Logarithms
• 9.7 Common Logarithms, Natural Logarithms, and Change of Base
• 9.8 Exponential and Logarithmic Equations and Problem Solving
• Chapter 10: Conic Sections
• 10.1 The Parabola and the Circle
• 10.2 The Ellipse and the Hyperbola
• 10.3 Solving Nonlinear Systems of Equations
• 10.4 Nonlinear Inequalities and Systems of Inequalities
• Chapter 11: Sequences, Series, and the Binomial Theorem
• 11.1 Sequences
• 11.2 Arithmetic and Geometric Sequences
• 11.3 Series
• 11.4 Partial Sums of Arithmetic and Geometric Sequences
• 11.5 The Binomial Theorem