### Course Description

Explore intermediate-level algebraic operations and learn how algebraic methods are used in real-world applications.

### Course Introduction

In this course, you will explore intermediate-level algebraic operations and learn how algebraic methods are used in real-world applications. Topics include systems of linear equations and inequalities, quadratic equations, exponential and logarithmic functions, and operations with rational expressions. Using algebra involves graphing functions and relating functions' properties to their graphs. You will apply these skills to create mathematical models for word problems. Each unit will include many application problems that will draw on your knowledge of the concepts presented in that unit. This course requires prior knowledge of basic algebra.

This course includes the following units:

• Unit 1: Equations and Inequalities
• Unit 2: Introduction to Functions
• Unit 3: Exponents and Polynomials
• Unit 4: Linear Functions
• Unit 5: Polynomial Functions
• Unit 6: Rational Functions
• Unit 7: Exponential and Logarithmic Functions
• Unit 8: Exponential and Logarithmic Equations
• Unit 9: Systems of Equations and Inequalities
• Unit 10: Conic Sections
• Unit 11: Sequences and Series

### Course Learning Outcomes

Upon successful completion of this course, you will be able to:

• solve linear, rational, quadratic, absolute value, exponential and logarithmic equations, and inequalities involving linear and non-linear components;
• summarize the fundamental properties of the basic functions and their inverses using standard function notation, graphing, and algebraic operations;
• describe how transformations and combinations affect the fundamental properties of the basic functions using standard function notation, graphing, and algebraic operations;
• model observed behavior, data, and real-life scenarios involving the basic functions using standard function notation, graphs, and algebraic operations;
• illustrate the properties of rational and polynomial inequalities using standard notation, graphs, and algebraic operations;
• apply the fundamental theorem of algebra to identify local properties of polynomials;
• interpret solutions to systems of linear and non-linear equations and inequalities constructed from real-world scenarios;
• identify the basic properties of arithmetic and geometric sequences and series; and
• summarize the fundamental properties of the basic conic sections using graphing and algebraic operations.

Throughout this course, you will also see learning outcomes in each unit. You can use those learning outcomes to help organize your studies and gauge your progress.

### Course Materials

The primary learning materials for this course are articles, lectures, and videos.

All course materials are free to access and can be found in each unit of the course. Pay close attention to the notes that accompany these course materials, as they will tell you what to focus on in each resource, and will help you to understand how the learning materials fit into the course as a whole. You can also see a list of all the learning materials in this course by clicking on Resources in the navigation bar.

### Evaluation and Minimum Passing Score

Only the final exam is considered when awarding you a grade for this course. In order to pass this course, you will need to earn a 70% or higher on the final exam. Your score on the exam will be calculated as soon as you complete it. If you do not pass the exam on your first try, you may take it again as many times as you want, with a 7-day waiting period between each attempt. Once you have successfully passed the final exam you will be awarded a free Course Completion Certificate.

There are also end-of-unit assessments in this course. These are designed to help you study, and do not factor into your final course grade. You can take these as many times as you want until you understand the concepts and material covered. You can see all of these assessments by clicking on Quizzes in the course's navigation bar.

### Earning College Credit

This course is eligible for college credit via Saylor Academy's Direct Credit Program. If you want to earn college credit, you must take and pass the Direct Credit final exam. That exam will be password protected and requires a proctor. If you pass the Direct Credit exam, you will receive a Proctor Verified Course Certificate and be eligible to earn an official transcript. For more information about applying for college credit, review the guide to college credit opportunities. Be sure to check the section on proctoring for details like fees and technical requirements.

There is a 14-day waiting period between attempts of the Direct Credit final exam. There is no waiting period between attempts for the not-for-credit exam and the Direct Credit exam. You may only attempt each Direct Credit final exam a maximum of 3 times. Be sure to study in between each attempt!

### Tips for Success

MA001: College Algebra is a self-paced course, which means that you can decide when you will start and when you will complete the course. There is no instructor or an assigned schedule to follow. We estimate that the "average" student will take 33 hours to complete this course. We recommend that you work through the course at a pace that is comfortable for you and allows you to make regular progress. It's a good idea to also schedule your study time in advance and try as best as you can to stick to that schedule.

Learning new material can be challenging, so we've compiled a few study strategies to help you succeed:

• Take notes on the various terms, practices, and theories that you come across. This can help you put each concept into context, and will create a refresher that you can use as you study later on.
• As you work through the materials, take some time to test yourself on what you remember and how well you understand the concepts. Reflecting on what you've learned is important for your long-term memory, and will make you more likely to retain information over time.

### Technical Requirements

This course is delivered entirely online. You will be required to have access to a computer or web-capable mobile device and have consistent access to the internet to either view or download the necessary course resources and to attempt any auto-graded course assessments and the final exam.

• To access the full course including assessments and the final exam, you will need to be logged into your Saylor Academy account and enrolled in the course. If you do not already have an account, you may create one for free here. Although you can access some of the course without logging in to your account, you should log in to maximize your course experience. For example, you cannot take assessments or track your progress unless you are logged in.
• If you plan to attempt the optional Direct Credit final exam, then you will also need access to a webcam. This lets our remote proctoring service verify your identity, which is required to issue an official transcript to schools on your behalf.

### Fees

This course is entirely free to enroll in and to access. Everything linked in the course, including textbooks, videos, webpages, and activities, is available for no charge. This course also contains a free final exam and course completion certificate.

This course also has an optional final exam that can give you an opportunity to earn college credit. This exam requires the use of a proctoring service for identity verification purposes. The cost for proctoring for this optional exam is \$5 per session.