College Algebra, 3rd Edition
1.1 Real Numbers
1.2 The Arithmetic of Algebraic Expressions
- Examples
- Example 1: Terminology of Algebraic Expressions
- Example 2: Evaluating Algebraic Expressions
- Example 3: Using the Field Properties
- Example 5: Using the Cancellation and Zero-Factor Properties
- Example 6: Order of Operations
- Example 7: Union and Intersection of Intervals
- Example 8: Union and Intersection
1.3 Properties of Exponents
1.4 Properties of Radicals
- Examples
- Example 1: Using Radical Notation
- Example 2: Using Radical Notation
- Example 3: Simplifying Radical Expressions
- Example 5: Rationalizing the Numerator
- Example 6: Combining Radical Expressions
- Example 7: Simplifying Expressions
- Example 8: Simplifying Radical Expressions
- Example 9: Using Radical Notation
1.5 Polynomials
1.6 Factoring Polynomials
1.7 Rational Expressions
1.8 Complex Numbers
2.1 Linear Equations in One Variable
2.2 Linear Inequalities in One Variable
- Examples
- Example 1: Multiplying Inequalities by Negative Numbers
- Example 2: Solving Linear Inequalities
- Example 3: Graphing Intervals of Real Numbers
- Example 4: Calculating Final Grades
- Example 5: Solving Double Linear Inequalities
- Example 6: Solving Linear Absolute Value Inequalities
- Example 7: Translating Inequality Phrases
- Example 8: Applications of Inequalities
2.3 Quadratic Equations in One Variable
2.4 Polynomial and Polynomial-Like Equations in One Variable
2.5 Rational Equations in One Variable
2.6 Radical Equations in One Variable
9.1 Solving Systems of Linear Equations by Substitution and Elimination
- Examples
- Example 1: Solving an Independent System by Substitution
- Example 2: Solving a Dependent System by Substitution
- Example 3: Solving an Independent System by Elimination
- Example 4: Solving an Inconsistent System by Elimination
- Example 5: Solving an Independent System by Elimination
- Example 6: Solving a Dependent System by Elimination
- Example 7: Mixing Alloys
- Example 8: Determining Ages
9.2 Matrix Notation and Gauss-Jordan Elimination
9.3 Determinants and Cramer's Rule
9.4 Basic Matrix Operations
9.5 Inverses of Matrices
9.6 Systems of Linear Inequalities and Linear Programming
9.7 Systems of Nonlinear Equations and Inequalities
- Examples
- Example 1: Solving Systems of Nonlinear Equations by Graphing
- Example 2: Solving Systems of Nonlinear Equations by Graphing
- Example 3: Solving Systems of Nonlinear Equations Algebraically
- Example 4: Solving Systems of Nonlinear Equations Algebraically
- Example 5: Solving Systems of Nonlinear Equations Algebraically
- Example 6: Solving Systems of Nonlinear Inequalities by Graphing
10.1 Sequences and Series
10.2 Arithmetic Sequences and Series
10.3 Geometric Sequences and Series
10.4 Mathematical Induction
10.5 Combinatorics
- Examples
- Example 2: Using the Multiplication Principle of Counting
- Example 3: Calculating Permutations
- Example 4: Calculating Permutations
- Example 5: Using the Permutation Formula
- Example 6: Calculating Permutations and Combinations
- Example 7: The Combination Formula and Forming Committees
- Example 8: Counting Rules and Forming "Words"
- Example 11: Using the Multinomial Theorem