Math 105: Precalculus Algebra
 Course type: Selfpaced
 Available Lessons: 125
 Average Lesson Length: 8 min

Eligible for Credit: Yes
Earn transferable credit by taking this course for credit.

Watch a preview:
chapter 1 / lesson 1Writing & Evaluating Algebraic Expressions for TwoDimensional Geometric Figures
Course Summary
Math 105: Precalculus Algebra has been evaluated and recommended for up to 4 semester hours and may be transferred to over 2,000 colleges and universities. This selfpaced math course helps you review math concepts and practice solving precalculus algebra problems. Complete the course to get a head start on your degree!to start this course today
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14 chapters in Math 105: Precalculus Algebra
Course Practice Test
Check your knowledge of this course with a 50question practice test. Comprehensive test covering all topics
 Detailed video explanations for wrong answers
Course Objective
The course objective is to examine basic mathematical modeling, key information on derivatives and how to solve various types of equations and inequalities both symbolically and graphically.
Grading Policy
Your grade for this course will be calculated out of 300 points. The minimum score required to pass and earn real college credit for this course is 210 points, or an overall course grade of 70%. The table below shows the assignments you must complete and how they'll be incorporated into the overall grade.
Assignment  Possible Points 

Quizzes  100 
Proctored Final Exam  200 
Total  300 
Quizzes
Quizzes are meant to test your comprehension of each lesson as you progress through the course. Here's a breakdown of how you will be graded on quizzes and how they'll factor into your final score:
 You will have 3 attempts to take each quiz for a score.
 The highest score of your first 3 attempts will be recorded as your score for each quiz.
 When you've completed the course, the highest scores from your first 3 attempts at each quiz will be averaged together and weighed against the total possible points for quizzes. For instance, if your average quiz score is 85%, you'll receive 85 out of 100 possible points for quizzes.
 After your initial 3 attempts, you can take a quiz for practice as many times as you'd like.
 You will need to pass each quiz with a score of at least 80% to earn course progress for the lesson. However, it is not necessary to earn 80% within the first three quiz attempts.
Proctored Final Exam
The proctored final exam is a cumulative test designed to ensure that you've mastered the material in the course.
 You'll earn points equivalent to the percentage grade you receive on your proctored final. (So if you earn 90% on the final, that's 180 points toward your final grade.)
 If you're unsatisfied with your score on the exam, you'll be eligible to retake the exam after a 3day waiting period.
 You can only retake the exam twice, so be sure to use your study guide and fully prepare yourself before you take the exam again.
 You may use the formula sheet provided in the 'Studying for Math 105' chapter.
Items Allowed on Study.com Proctored Exam for Math 105:
 A nongraphing, scientific calculator (We'll provide you access to Desmos scientific calculator during the final exam.)
 Blank scratch paper
 Pen or pencil
 Formula sheet provided in the 'Studying for Math 105' chapter
Items NOT Allowed on Study.com Proctored Exam for Math 105:
 Graphing calculators
 Office programs, web browsers, or any programs other than Software Secure (including Study.com lessons)
 Textbooks (digital or physical)
 Mobile phones, headphones, speakers, TVs, radios
 Notebooks or notes
Course Outcomes
Upon completion of this course, you will be able to:
 Write and solve mathematical modeling equations, including those pertaining to cost, determination, economic equilibrium and relating a 2dimensional figure's side lengths, perimeter and area
 Evaluate linear equations, 1 and 2variable inequalities and systems of equations
 Factor and solve quadratic equations, including solving by utilizing the quadratic formula
 Complete operations involving rational expressions and solve rational equations
 Complete operations involving polynomials, including factoring polynomials using the remainder, factor and rational zero theorems as well as synthetic division
 Evaluate absolute value expressions and solve and graph absolute value equations and inequalities
 Complete operations involving complex numbers and graph complex numbers on the complex plane
 Graph different types of functions, including inverse functions, square root functions, cube root functions and functions of functions
 Detect symmetry graphically, numerically and algebraically
 Evaluate logarithms, including rewriting logarithmic equations in exponential form, graphing logarithmic functions and identifying a logarithmic function's vertical asymptote, domain and range
 Define and utilize the derivative, including demonstrating its relationship to the rate of change
Prerequisites
There are no prerequisites for this course, but many students choose to complete Math 105: College Algebra prior to Precalculus Algebra.
Course Format
Math 105 consists of short video lessons that are organized into topical chapters. Each video is approximately 510 minutes in length and comes with a quick quiz to help you measure your learning. The course is completely selfpaced. Watch lessons on your schedule whenever and wherever you want.
At the end of each chapter, you can complete a chapter test to see if you're ready to move on or have some material to review. Once you've completed the entire course, take the practice test and use the study tools in the course to prepare for the proctored final exam. You may take the proctored final exam whenever you are ready.
How Credit Recommendations Work
This course has been evaluated and recommended by ACE for 3 semester hours and NCCRS for 4 semester hours in the lower division baccalaureate degree category. To apply for transfer credit, follow these steps:
 If you already have a school in mind, check with the registrar to see if the school will grant credit for courses recommended by either ACE or NCCRS.
 Complete Math 105 by watching video lessons and taking short quizzes.
 Take the Math 105 final exam directly on the Study.com site.
 Request a transcript to be sent to the accredited school of your choice!
 Check out this page for more information on Study.com's creditrecommended courses.
Additional Information
Course Topics
Category  Objectives 

Mathematical Modeling  Learn how algebraic expressions can be used to describe twodimensional geometric figures and evaluate linear models. Practice using linear systems to find minimum and maximum values, breakeven point and market equilibrium. 
Linear Equations & Inequalities  Find out how to write linear equations in standard and slopeintercept form. Examine the graphs of one and twovariable inequalities and linear systems. 
Quadratic Functions  Identify equations for parabolas written in standard, intercept and vertex forms. Practice using the FOIL method and quadratic formula to factor and solve quadratic equations. Learn to graph quadratic inequalities and systems of quadratic inequalities. 
Rational Expressions & Functions  Perform arithmetic operations with rational expressions. Find out how to graph linear and polynomial rational functions and identify their asymptotes. 
Polynomial Functions of a Higher Degree  Discover the steps involved in adding, subtracting and multiplying polynomials. Learn how to perform long division and synthetic division with polynomials. Explore the applications of the remainder theorem, factor theorem, rational zeros theorem and the fundamental theorem of algebra. 
Absolute Value Equations & Inequalities  Find out what it takes to evaluate, solve and graph absolute value equations and inequalities. Practice performing transformations of an absolute value's graph. 
Complex Numbers  Discover what an imaginary number is before learning how to perform arithmetic operations with complex numbers. Get tips for graphing complex numbers and solving quadratics with complex numbers in the solution. 
Geometry Basics  Explore the formulas for circle area and circumference. Learn how to graph a circle and write the standard form of a circle's equation. Apply the distance and midpoint formulas. 
Functions Overview  Identify a function's domain and range. Find out how to graph basic functions, power functions, radical functions and piecewise functions. 
Function Operations  Examine the steps involved in performing arithmetic operations with functions. Learn to compose functions and work with composite functions, inverse functions and onetoone functions. 
Graph Symmetry  Learn some of the methods used to detect a graph's symmetry. Practice identifying even and odd functions. 
Exponential & Logarithmic Functions  Study the relationship between exponential functions, logarithms and the natural base e. Learn how logarithmic properties and the change of base formula can be used to solve logarithmic equations. Practice graphing these two types of functions. 
Introduction to the Derivative  Discover how velocity and the rate of change are related graphically. 
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What to Expect For the Exam
This Study.com course has been evaluated and recommended for college credit. Once you've completed this course, you can take the proctored final exam and potentially earn credit. Follow the steps below to take the exam.
Exam Steps
PreExam Checklist
Before taking the exam, all of the following requirements must be met:
A College Accelerator Study.com membership.  
Completed all lessons in Math 105: Precalculus Algebra course and achieved 100% Quiz Progress.  
Not attempted to take this exam within the last three days.  
Have available proctored exams in this month of membership.  
Have not taken this exam three times. (0/3)  
Complete the exam readiness quiz. 
Please meet all of the prerequirements in the PreExam Checklist in order to take the exam.
Exam Process Details
1. Register For Exam
Registering for the exam is simple. First, be sure you meet the system requirements. Next, you'll need to agree to the academic integrity policy. Then just confirm your name and the exam name, and you're ready to go!
2. Download Software Secure
You'll receive an unique access code. Please write this down — you'll need it to take the exam. Then download Software Secure and follow the installation instructions.
3. Take Exam
The exam contains 50  100 multiple choice questions. You will have two hours to complete the exam, so don't start until you're sure you can complete the entire thing. And remember to pace yourself!
4. Get Exam Results
We will send you an email with your official exam results within 1 to 2 weeks. If you would like to raise your grade after receiving your exam results, you can retake quizzes with fewer than 3 attempts. You will then need to retake the final exam.
Earning College Credit
Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn creditbyexam regardless of age or education level.
To learn more, visit our Earning Credit Page
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