College Algebra

Course Content from McGraw-Hill
Course Number: MAT101
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Our popular College Algebra course provides a working knowledge of college-level algebra and its applications. Emphasis is placed upon the solution and the application of linear and quadratic equations, word problems, polynomials, and rational and radical equations. Students perform operations on real numbers and polynomials and simplify algebraic, rational, and radical expressions.

Arithmetic and geometric sequences are examined, and linear equations and inequalities are discussed. Students learn to graph linear, quadratic, absolute value, and piecewise-defined functions and solve and graph exponential and logarithmic equations. Other topics include solving applications using linear systems as well as evaluating and finding partial sums of a series.

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3
college credits
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Self Paced
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Mathematics
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65 Reviews
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  • 12/10/14 by tmamone74
    This course breaks things down and is way more comprehensive than my schools's Algebra course. Its harder in a way but you learn more and it helps you understand the material better.
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  • 11/9/14 by sheridanj
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  • 10/28/14 by surinag
    Being able to review college algebra after not taking it for several years was perfect. Having the option to choose or not choose a professor was great. However teaching myself all over again was a bit difficult. I would choose a professor in the future.
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  • 10/21/14 by EmielieB
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  • 10/18/14 by lizc
    1. Assignments and answer key is cumbersome. The student has to write (or print) the assignment page, then find the assignment-no links, then go back to find the answer key...really?
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  • 10/15/14 by c.nistler3
    Thought it was great that the additionl resources were provided so if you wanted more info about a specific subject, you could easily find it. I was unable to navigate through the different frames of a slide in the lessons, not sure if it was my end or straighterline's end. (using Mozilla Firefox).
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  • 10/15/14 by kellyk
    This is a solid crash course in Algebra. However, it is surely easier if you are good and familiar with math. If you're brushing up, it is a little difficult to catch up before the material gets very difficult (I'm not the best at math, so the first quiz was manageable, and the rest were a lot harder for me.) Still, if you don't want to spend your evenings in a classroom for hours on end, Straighterline is the way to go!
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  • 10/13/14 by lilrich9
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  • 10/12/14 by tmamone74
    This course breaks things down and is way more comprehensive than my schools's Algebra course. Its harder in a way but you learn more and it helps you understand the material better.
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  • 10/2/14 by Chaquainboone
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  • 10/1/14 by kyonissocute
    Self paced
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  • 9/28/14 by mrweightlossmall
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  • 9/21/14 by logan.johnson9
    this was a terrible course. i have taken other online and this is the worst one yet
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  • 9/21/14 by logan.johnson9
    this was a terrible course. i have taken other online and this is the worst one yet
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  • 9/16/14 by preshisqt
    Nice well rounded course.
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  • 9/16/14 by preshisqt
    Nice well rounded course.
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  • 9/16/14 by preshisqt
    enjoyed this course
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  • 9/16/14 by preshisqt
    enjoyed this course
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  • 9/15/14 by rsmith63
    Make sure to use the final exam study guide
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  • 9/15/14 by rsmith63
    Make sure to use the final exam study guide
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  • 9/11/14 by sheridanj
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  • 9/7/14 by anb414
    This was my first time taking a course on StraighterLine, so I have to admit I was a bit nervous at first. Those nerves were quickly overcome, however, as I began to acclimate myself with the course tools. StraighterLine provides so much course material within the lesson that I'm not even sure I needed the textbook (I do recommend the textbook though). Overall, I thoroughly recommend this course to anyone looking to take College Algebra in an online setting.
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  • 9/4/14 by jakemccraw
    its very bassic
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  • 9/3/14 by nfink
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  • 8/30/14 by ltjmeegan
    very well organized, easy to navigate, online help was extremely helpful
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  • 8/30/14 by ltjmeegan
    very well organized, easy to navigate, online help was extremely helpful
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  • 8/28/14 by brialewis92
    this course was really good
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  • 8/28/14 by brialewis92
    this course was really good
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  • 8/27/14 by orourkk
    Not a bad class but the tests didn't always seem to follow what was taught for the section. If you don't have any algebra background it will be difficult to keep up and follow what is being taught with just the book and lectures. The final is closed book, which is different from the rest of the tests and most other classes so be aware of this prior to taking the final. This was a surprise to me because I went over the review but didn't read through the overview prior to doing the questions.
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  • 8/27/14 by orourkk
    Not a bad class but the tests didn't always seem to follow what was taught for the section. If you don't have any algebra background it will be difficult to keep up and follow what is being taught with just the book and lectures. The final is closed book, which is different from the rest of the tests and most other classes so be aware of this prior to taking the final. This was a surprise to me because I went over the review but didn't read through the overview prior to doing the questions.
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  • 8/25/14 by candicewhetton
    This course was ridiculous. I would complete all the assignments and videos and everything along with it and go to the quiz and the test and feel like I had no idea what was going on. I felt like I understood the material going through the lessons until I would get to the test. Also, I don't feel like you allowed enough time on the tests because the problems were long. Further, not being able to use your notes or book on a comprehensive final for an online class is asking quite a bit considering I am having to teach myself how to do everything and math doesn't come easily for everyone.
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  • 8/25/14 by candicewhetton
    This course was ridiculous. I would complete all the assignments and videos and everything along with it and go to the quiz and the test and feel like I had no idea what was going on. I felt like I understood the material going through the lessons until I would get to the test. Also, I don't feel like you allowed enough time on the tests because the problems were long. Further, not being able to use your notes or book on a comprehensive final for an online class is asking quite a bit considering I am having to teach myself how to do everything and math doesn't come easily for everyone.
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  • 8/24/14 by chanabracha74
    The quizzes did not focus on everything that the lessons did. But i did feel the final focused on mostly everything the lessons focused on. I used the textbook alot for practice questions and it was very helpful
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  • 8/24/14 by chanabracha74
    The quizzes did not focus on everything that the lessons did. But i did feel the final focused on mostly everything the lessons focused on. I used the textbook alot for practice questions and it was very helpful
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  • 8/18/14 by mnielson
    No answer
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  • 8/18/14 by mnielson
    No answer
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  • 8/13/14 by Adriansuper11
    It's a fast way to get you college credits
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  • 8/13/14 by Adriansuper11
    It's a fast way to get you college credits
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  • 8/6/14 by connigglesz1992
    study
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  • 8/6/14 by lisacoolidge
    the course was helpful and the content was compreshensive
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  • 8/4/14 by mistymarino
    This course covers the basics of college algebra level math or algebra 2 in high school.
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  • 8/1/14 by norris1321
    It's quick as well as simple.
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  • 7/29/14 by kdeanne13
    You do not have long enough for the final exam. There were questions and examples that had incorrect answers throughout the entire course.
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  • 7/29/14 by kdeanne13
    You do not have long enough for the final exam. There were questions and examples that had incorrect answers throughout the entire course.
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  • 7/28/14 by kona77374
    The course has spelling and logistical errors sprinkled throughout the Straighterline lessons, which is something to be aware of.
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  • 7/28/14 by kona77374
    The course has spelling and logistical errors sprinkled throughout the Straighterline lessons, which is something to be aware of.
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  • 7/26/14 by laura.barry330
    Basic pre-Calculus
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  • 7/26/14 by laura.barry330
    Basic pre-Calculus
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  • 7/14/14 by samudrathio
    It was good. Pay a lot of attention to the powerpoints.
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  • 7/14/14 by samudrathio
    It was good. Pay a lot of attention to the powerpoints.
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  • 7/9/14 by anb414
    This was my first time taking a course on StraighterLine, so I have to admit I was a bit nervous at first. Those nerves were quickly overcome, however, as I began to acclimate myself with the course tools. StraighterLine provides so much course material within the lesson that I'm not even sure I needed the textbook (I do recommend the textbook though). Overall, I thoroughly recommend this course to anyone looking to take College Algebra in an online setting.
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  • 7/6/14 by miller.keith
    .
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  • 6/19/14 by fatmatambalusesay
    It was ok is just that the time for the exam is too short to complete 65 question of math.
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  • 6/19/14 by fatmatambalusesay
    It was ok is just that the time for the exam is too short to complete 65 question of math.
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  • 6/8/14 by connigglesz1992
    study
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  • 6/8/14 by lisacoolidge
    the course was helpful and the content was compreshensive
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  • 6/7/14 by miller.keith
    .
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  • 6/2/14 by anyasatze
    I do not recommend the SL College Algebra course. The textbook is hard to find and expensive and it doesn't explain things well. You end up floundering. I was unable to finish it because of this.
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  • 4/9/14 by jakemccraw
    its very bassic
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  • 4/8/14 by mistymarino
    This course covers the basics of college algebra level math or algebra 2 in high school.
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  • 3/9/14 by nfink
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  • 2/10/14 by Chaquainboone
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  • 2/6/14 by anyasatze
    I do not recommend the SL College Algebra course. The textbook is hard to find and expensive and it doesn't explain things well. You end up floundering. I was unable to finish it because of this.
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  • 1/10/14 by kyonissocute
    Self paced
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  • 1/8/14 by norris1321
    It's quick as well as simple.
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Course Objectives

After completing this course, students will be able to:

  • Identify and then calculate perimeter, area, surface area, and volume for standard geometric figures
  • Perform operations on real numbers and polynomials.
  • Simplify algebraic, rational, and radical expressions.
  • Solve both linear and quadratic equations and inequalities.
  • Solve word problems involving linear and quadratic equations and inequalities.
  • Solve polynomial, rational, and radical equations and applications.
  • Solve and graph linear, quadratic, absolute value, and piecewise-defined functions.
  • Perform operations with functions as well as find composition and inverse functions.
  • Graph quadratic, square root, cubic, and cube root functions.
  • Graph and find zeroes of polynomial functions.
  • Perform vertical and horizontal shifts and reflections of a basic graph.
  • Perform stretches and compressions on a basic graph.
  • Transform the graph of a general function.
  • Graph quadratic functions by completing the square, using the vertex formula, and using transformations.
  • Solve and graph exponential and logarithmic equations.
  • Solve systems of linear equations and inequalities.
  • Model and solve applications using linear systems.
  • Evaluate and find partial sums of a series.
  • Evaluate and find sums of arithmetic and geometric sequences.
  • Solve application problems involving arithmetic and geometric sequences and series.
  • Solve applications involving the various types of equations and inequalities.

Topic

Lesson

Subtopics

Objectives

1

Geometry and Measurement

  1. Standard Geometric Polygons and Solids
  2. Construction of Geometric Solids
  3. Perimeter, Area, and Volume
  1. Identify standard geometric polygons and solids.
  2. Construct standard solid geometry figures.
  3. Calculate perimeter, area, surface area, and volume for standard geometric figures.

2

Basic Algebraic

Operations

  1. Real Numbers and Polynomials
  2. Rational Expressions
  3. Rational Exponents and Radicals
  1. Identify and use properties of real numbers.
  2. Simplify algebraic expressions.
  3. Write rational numbers in different formats.
  4. Perform  prime factorization of natural numbers
  5. Identify and classify polynomial and Radicals expressions.
  6. Perform operations on polynomials.
  7. Factor polynomials.
  8. Write a rational expression in simplest form
  9. Compute rational expressions.
  10. Simplify radical expressions.
  11. Multiply and divide radical expressions.

3

Linear Equations and Inequalities in One 

Variable

  1. Linear Equations and Applications
  2. Linear Inequalities and Applications
  3. Absolute Value in Equations and Inequalities
  1. Solve linear equations by using all properties of equality and the rules.
  2. Solve word problems using linear equations.
  3. Solve and graph linear inequalities.
  4. Solve an application using inequalities.
  5. Solve absolute value equalities and inequalities.

4

Quadratic Equations

  1. Factoring and solving Quadratic Equations using Factoring
  2. Completing the Square
  3. Quadratic Formula and Applications of the Quadratic Equations
  1. Write a quadratic equation in the standard form.
  2. Solve quadratic equations by factoring.
  3. Solve quadratic equations by the square root property.
  4. Solve quadratic equations by completing the square.
  5. Solve quadratic equations by using the quadratic formula.
  6. Solve word problems involving quadratic equations.
  7. Use the discriminant to identify the number of solutions.

5

Polynomial and Other Equations

  1. Polynomial Equations and Applications
  2. Equations Involving Radicals and Rational Exponents
  3. Complex Numbers
  1. Solve polynomial equations using the zero factor property.
  2. Solve rational equations.
  3. Solve radical equations.
  4. Identify and simplify complex numbers.
  5. Add and subtract complex numbers.
  6. Multiply and divide complex numbers.

6

Functions and Graphs

  1. Rectangular Coordinates and the Graph of a Line
  1. Use a table of values to graph linear equations.
  2. Determine when lines are parallel or perpendicular.
  3. Use linear graphs in an applied context.
  4. Identify functions and state their domain and range.
  5. Use function notation.
  6. Write a linear equation in function form.
  7. Use function form to identify the slope.
  8. Use slope-intercept form to graph linear functions.
  9. Write a linear equation in point-intercept form.
  10. Use the function form, the slope-intercept form, and the point-intercept form to solve applications.

7

Operations and Functions

  1. The Algebra and Composition Functions
  2. One-to-One and Inverse Functions
  1. Compute a sum or difference of functions and determine the domain of the result.
  2. Compose two functions and find the domain.
  3. Identify one-to-one functions.
  4. Find inverse functions using an algebraic method.
  5. Graph a function and its inverse.
  6. Graph factorable quadratic equations.
  7. Graph the square root, cubic, and cube root functions.
  8. Compute a product or quotient of functions and determine the domain of the result.

8

Analyzing Graphs

  1. Piecewise-Defined Functions
  2. Graphs and Symmetry
  3. Tranformations
  1. State the domain of a piecewise-defined function.
  2. Evaluate piecewise-defined functions.
  3. Graph functions that are piece-wise defined.
  4. Identify different symmetry types.
  5. Use symmetry as an aid to graphing.
  6. Perform vertical and horizontal shifts of a basic graph.
  7. Perform vertical and horizontal reflections of a basic graph.
  8. Perform stretches and compressions on a basic graph.
  9. Transform the graph of a general function.

9

Graphing Polynomial Functions

  1. Graphing General Quadratic Functions 
  2. Graphing Polynomial Functions
  3. Applications of Polynomial Functions
  1. Graph quadratic functions by completing the square and using transformations.
  2. Graph a general quadratic function using the vertex formula.
  3. Solve applications involving quadratic functions.
  4. Graph polynomial functions.
  5. Describe the end behavior of a polynomial graph.

10

Graphing Rational Functions

  1. Asymptotes and Rational Functions
  2. Graphing Rational Functions
  3. Applications of Rational Functions
  1. Graph the reciprocal and reciprocal quadratic functions.
  2. Identify horizontal and vertical asymptotes.
  3. Use asymptotes to graph transformations.
  4. Use asymptotes to determine the equation of a rational function from its graph.
  5. Find the domain of a rational function.
  6. Find the intercepts of a rational function.
  7. Graph general rational functions.
  8. Solve applications involving rational functions.

11

Exponential and Logarithmic Functions

  1. Exponential Functions
  2. Logarithms and Logarithmic Functions
  3. The Exponential Function and Natural Logarithm
  1. Evaluate an exponential function.
  2. Graph exponential functions.
  3. Solve certain exponential equations.
  4. Solve applications of exponential equations.
  5. Write exponential equations in logarithmic form.
  6. Graph logarithmic functions and find their domains.
  7. Solve applications of logarithmic functions.
  8. Evaluate and graph base exponential functions.
  9. Evaluate and graph the natural logarithm functions.
  10. Apply the properties of logarithms.
  11. Use the change-of-base formula.

12

Exponential and Logarithmic Equations

  1. Exponential Equations
  2. Logarithmic Equations
  3. Applications of Exponential and Logarithmic Equations
  1. Write logarithmic and exponential equations in simplified form.
  2. Solve exponential equations.
  3. Solve logarithmic equations.
  4. Solve applications involving exponential and logarithmic equations.
  5. Use exponential equations to find the interest compounded in times per year.
  6. Use exponential equations to find the interest compounded continuously.
  7. Solve exponential growth and decay problems.

13

Systems of Equations and Inequalities

  1. Solving Systems Graphically and by Substitution
  2. Solving Systems using Elimination
  3. Applications of Linear Systems
  4. Non-linear Equations and Linear Inequalities
  1. Verify ordered pair solutions. 
  2. Solve systems of equations involving quadratic and other non-linear functions.
  3. Graph systems of linear inequalities.
  4. Solve linear systems by graphing.
  5. Solve linear systems by substitution.
  6. Solve linear systems by elimination.
  7. Recognize inconsistent systems (no solutions) and dependent systems (infinitely many solutions).
  8. Use a system of equations to mathematically model and solve applications.

14

Solving Linear Systems Using Augmented Matrices

  1. Matrices
  2. Solving Linear Systems using Matrix Equations
  3. More Applications of Linear Systems
  1. State the size of a matrix and identify entries in a specified row and column.
  2. Form the augmented matrix of a system of equations.
  3. Recognize inconsistent and dependent systems.
  4. Model and solve applications using linear systems.
  5. Solve a system of equations using row  operations.

15

Sequences and Series

  1. Sequences and Series
  2. Arithmetic Sequences
  3. Geometric Sequences
  1. Write out the terms of a sequence given the general term.
  2. Determine the general term of a sequence.
  3. Find the partial sum of a series.
  4. Use summation notation to write and  evaluate the series.
  5. Solve applications using mathematical sequences.
  6. Find the sum of a geometric series.
  7. Solve application problems involving geometric sequences and series.

16

Review and Graded Final Exam

  1. Course Review
  1. None

StraighterLine suggests, though does not require, that students take Introductory Algebra or its equivalent before enrolling in College Algebra.

Required Textbook: This course has assigned reading.

Title: College Algebra eTextbook

ISBN: 9780072867381

Our Price: $82.70

Assigned reading material as part of taking this online course.
bookshelfWith every purchase of an eTextbook through StraighterLine, students have access to their texts via the Bookshelf App which syncs to their course, provides offline access for studying on the go, and more.
-OR-
book cover

The Barnett/Ziegler/Byleen College Algebra series is designed to give students a solid grounding in pre-calculus topics in a user-friendly manner. The series emphasizes computational skills, ideas, and problem solving rather than theory. Explore/Discuss boxes integrated throughout each text encourage students to think critically about mathematical concepts. All worked examples are followed by Matched Problems that reinforce the concepts being taught. New to these editions, Technology Connections illustrate how concepts that were previously explained in an algebraic context may also be solved using a graphing calculator. Students are always shown the underlying algebraic methods first so that they do not become calculator-dependent. In addition, each text in the series contains an abundance of exercises - including numerous calculator-based and reasoning and writing exercises - and a wide variety of real-world applications illustrating how math is useful.

Barnett, Raymond A., Michael R. Ziegler, and Karl E. Byleen. College Algebra, 8th edition, McGraw-Hill, 2008, ISBN: 9780072867381

StraighterLine does not apply letter grades. Students earn a percentage score. A passing percentage is 70% or higher.

If you have chosen a Partner College to award credit for this course, your final grade will be based upon that college's grading scale. Only passing scores will be considered by Partner Colleges for an award of credit.

There are a total of 1000 points in the course:

Assessment Points Available
Exam #1 125 points
Exam #2 125 points
Exam #3 125 points
Exam #4 125 points
Final Exam 500 points

You are required to take an online proctored final exam in order to be eligible for transfer credit. You can take your proctored final exam at home or anywhere you have access to a webcam with a microphone and a reliable, high-speed internet connection. For additional questions, please refer to the FAQ on Online Proctoring or contact your student advisors at 877-787-8375.

Our popular College Algebra course provides a working knowledge of college-level algebra and its applications. Emphasis is placed upon the solution and the application of linear and quadratic equations, word problems, polynomials, and rational and radical equations. Students perform operations on real numbers and polynomials and simplify algebraic, rational, and radical expressions.

Arithmetic and geometric sequences are examined, and linear equations and inequalities are discussed. Students learn to graph linear, quadratic, absolute value, and piecewise-defined functions and solve and graph exponential and logarithmic equations. Other topics include solving applications using linear systems as well as evaluating and finding partial sums of a series.

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