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Study Guides

College Algebra

Copyright: The following courseware includes resources copyrighted and openly licensed by third parties under a Creative Commons Attribution 4.0 License. Click "Licenses and Attributions" at the bottom of each page for copyright information and license specific to the material on that page. If you believe that this courseware violates your copyright, please contact us.

Module 1: Algebra Essentials

Methods for Finding Zeros of Polynomials
Why It Matters: Algebra Essentials
Putting It Together: Power and Polynomial Functions
Real Numbers

Module 10: Rational and Radical Functions

Exponents and Scientific Notation
Why It Matters: Rational And Radical Functions
Radicals and Rational Exponents
Rational Functions
Putting It Together: Algebra Essentials
Radical Functions

Module 2: Polynomial and Rational Expressions

Variation
Why It Matters: Polynomial and Rational Expressions
Putting It Together: Rational and Radical Functions
Polynomial Basics

Module 11: Exponential and Logarithmic Functions

Factoring Polynomials
Why It Matters: Exponential and Logarithmic Functions
Rational Expressions
Exponential Functions
Putting It Together: Polynomial and Rational Expressions
Graphs of Exponential Functions

Module 3: The Rectangular Coordinate System and Equations of Lines

Logarithmic Functions
Why It Matters: The Rectangular Coordinate System and Equations of Lines
Graphs of Logarithmic Functions
Points and Lines in the Plane
Putting It Together: Exponential and Logarithmic Functions
Equations of Lines

Module 12: Exponential and Logarithmic Equations and Models

Putting It Together: The Rectangular Coordinate System and Equations of Lines
Why It Matters: Exponential and Logarithmic Equations and Models

Module 4: Equations and Inequalities

Logarithmic Properties
Why It Matters: Equations and Inequalities
Exponential and Logarithmic Equations
Equation-Solving Techniques
Exponential and Logarithmic Models
Models and Applications
Putting It Together: Exponential and Logarithmic Equations and Models
Quadratic Equations

Module 13: Systems of Equations and Inequalities

Linear Inequalities and Absolute Value Inequalities
Why It Matters: Systems of Equations and Inequalities
Putting It Together: Equations and Inequalities
Systems of Linear Equations: Two Variables

Module 5: Function Basics

Systems of Nonlinear Equations and Inequalities
Why It Matters: Function Basics
Systems of Linear Equations: Three Variables
Characteristics of Functions and Their Graphs
Partial Fractions: an Application of Systems
Domain and Range of Functions
Putting It Together: Systems of Equations and Inequalities
Rates of Change and Behavior of Graphs

Module 14: Solve Systems With Matrices

Putting It Together: Function Basics
Why It Matters: Solve Systems with Matrices

Module 6: Algebraic Operations on Functions

Matrices and Matrix Operations
Why It Matters: Algebraic Operations On Functions
Gaussian Elimination
Compositions of Functions
Solve Systems with Inverses
Transformations of Functions
Putting It Together: Solve Systems with Matrices
Inverse Functions

Module 15: Conic Sections

Putting It Together: Algebraic Operations on Functions
Why It Matters: Conic Sections

Module 7: Linear and Absolute Value Functions

The Ellipse
Why It Matters: Linear and Absolute Value Functions
The Hyperbola
Linear Functions
The Parabola
Graphs of Linear Functions
Putting It Together: Conic Sections
Modeling With Linear Functions

Module 16: Sequences and Series

Putting It Together: Linear and Absolute Value Functions
Why It Matters: Sequences and Series

Module 8: Quadratic Functions

Sequences and Their Notations
Why It Matters: Quadratic Functions
Arithmetic Sequences
Complex Numbers
Geometric Sequences
Graphs of Quadratic Functions
Series and Their Notations
Analysis of Quadratic Functions
Putting It Together: Sequences and Series
Putting It Together: Quadratic Functions

Module 17: Probability and Counting Principles

Module 9: Power and Polynomial Functions

Why It Matters: Probability and Counting Principles
Why It Matters: Power and Polynomial Functions
Counting Principles
Characteristics of Power and Polynomial Functions
Probability
Graphs of Polynomial Functions
Putting It Together: Probability and Counting Principles
Divide Polynomials