Table of Contents

1. Chapter 1: Real Numbers and Solving Equations
   1. 1.1 Prime Numbers, Exponents, and LCM
   2. 1.2a Name that Real Number
   3. 1.2b Properties of Real Numbers
   4. 1.3a Introduction to Absolute Values
   5. 1.3b Addition with Real Numbers
   6. 1.3c Subtraction with Real Numbers
   7. 1.3d Multiplication and Division with Real Numbers
   8. 1.3e Order of Expressions
   9. 1.4a Simplifying Expressions
   10. 1.4b Solving Linear Equations
   11. 1.4c Solving Absolute Value Equations
   12. 1.5a Evaluating Formulas
   13. 1.5b Solving Formulas
   14. 1.6 Applications
   15. 1.7a Solving Linear Inequalities
   16. 1.7b Solving Absolute Value Inequalities
2. Chapter 2: Linear Equations and Functions
   1. 2.1a Introduction to the Cartesian Coordinate System
   2. 2.1b Graphing Linear Equations by Plotting Points
   3. 2.2 Graphing Linear Equations in Slope-Intercept Form
   4. 2.3a Finding the Equation of a Line
   5. 2.3b Graphing Linear Equations in Point-Slope Form
   6. 2.4 Introduction to Functions and Function Notation
   7. 2.5 Graphing Linear Inequalities
3. Chapter 3: Systems of Linear Equations
   1. 3.1a Solving Systems of Linear Equations by Graphing
   2. 3.1b Solving Systems of Linear Equations by Substitution
   3. 3.1c Solving Systems of Linear Equations by Addition
   4. 3.2 Applications: Systems of Equations
   5. 3.3 Solving Systems of Linear Equations with Three Variables
   6. 3.4 Matrices and Gaussian Elimination
   7. 3.5 Determinants
   8. 3.6 Determinants and Systems of Linear Equations: Cramer's Rule
   9. 3.7 Systems of Linear Inequalities
4. Chapter 4: Exponents and Polynomials
   1. 4.1a Simplifying Integer Exponents I
   2. 4.1b Simplifying Integer Exponents II
   3. 4.1c Scientific Notation
   4. 4.2a Identifying Polynomials
   5. 4.2b Adding and Subtracting Polynomials
   6. 4.3a Multiplying Polynomials
   7. 4.3b The FOIL Method
   8. 4.4a Division by a Monomial
   9. 4.4b The Division Algorithm
   10. 4.5a GCF of a Polynomial
   11. 4.5b Factoring by Grouping
   12. 4.6a Factoring Trinomials by trial and Error
   13. 4.6b Factoring Trinomials by the a c-Method
   14. 4.7a Special Factorizations - Squares
   15. 4.7b Special Factorizations - Cubes
   16. 4.8 Solving Equations by Factoring
   17. 4.9 Using a Graphing Calculator to Solve Equations
5. Chapter 5: Rational Expressions and Rational Equations
   1. 5.1a Defining Rational Expressions
   2. 5.1b Multiplication and Division of Rational Expressions
   3. 5.2 Addition and Subtraction of Rational Expressions
   4. 5.3 Complex Fractions
   5. 5.4 Solving Equations Involving Rational Expressions
   6. 5.5 Applications Involving Rational Expressions
   7. 5.6 Applications: Variation
6. Chapter 6: Roots, Radicals, and Complex Numbers
   1. 6.1a Evaluating Radicals
   2. 6.1b Simplifying Radicals
   3. 6.2 Rational Exponents
   4. 6.3a Addition and Subtraction with Radicals
   5. 6.3b Multiplication with Radicals
   6. 6.3c Rationalizing Denominators
   7. 6.4 Solving Radical Equations
   8. 6.5 Functions with Radicals
   9. 6.6 Complex Numbers
   10. 6.7 Multiplication and Division with Complex Numbers
7. Chapter 7: Quadratic Equations and Quadratic Functions
   1. 7.1a Quadratic Equations: The Square Root Method
   2. 7.1b Quadratic Equations: Completing the Square
   3. 7.2 Quadratic Equations: The Quadratic Formula
   4. 7.3 Applications: Quadratic Equations
   5. 7.4 Equations in Quadratic Form
   6. 7.5 Graphing Parabolas
   7. 7.6a Solving Quadratic Inequalities
   8. 7.6b Solving Inequalities with Rational Exponents
8. Chapter 8: Exponential and Logarithmic Functions
   1. 8.1 Algebra of Functions
   2. 8.2 Composition of Functions and Inverse Functions
   3. 8.3 Exponential Functions and the Number e
   4. 8.4 Logarithmic Functions
   5. 8.5 Properties of Logarithmic Functions
   6. 8.6 Common Logarithms and Natural Logarithms
   7. 8.7 Exponential and Logarithmic Equations
   8. 8.8 Applications: Exponential and Logarithmic Functions
9. Chapter 9: Conic Sections
   1. 9.1 Translations
   2. 9.2 Parabolas as Conic Sections
   3. 9.3 Distance Formula and Circles
   4. 9.4 Ellipses and Hyperbolas
   5. 9.5 Nonlinear Systems of Equations
10. Chapter 10: Sequences, Series and the Binomial Theorem
    1. 10.1 Sequences
    2. 10.2 Sigma Notation
    3. 10.3 Arithmetic Sequences
    4. 10.4 Geometric Sequences and Series
    5. 10.5 The Binomial Theorem
11. Chapter A: Appendix
    1. A.1 Review of Fractions
    2. A.2 Synthetic Division
    3. A.3 Applications of Linear Equations
    4. A.4 Permutations
    5. A.5 Combinations
    6. A.6 Additional Factoring Practice

 
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