Intermediate Algebra


  2. A. Course Title: Intermediate Algebra
    B. Course Number: MA 113A - 30665
    C. Semester: Fall 2019
    D. Days/Time: T Th 11:00:00 AM - 11:50:00 AM
    E. Credit Hours: 3
    F. Instructor: McGill, Shyla
    G. Office: Heidel Hall (HH) 214
    H. Email Address:
    I. Office Phone: (575) 492-2819
    J. Office Hours: Monday: 5:00:00 PM-6:00:00 PM (MST);
    Tuesday: 9:15:00 AM-11:00:00 AM (MST); 12:00:00 PM-02:15:00 PM (MST);
    Wednesday: 5:00:00 PM-6:00:00 PM (MST);
    Thursday: 9:15:00 AM-11:00:00 AM (MST); 12:00:00 PM-02:15:00 PM (MST);
    By Appointment also. I do not promise to be in my office during office hours, but I will be on campus. Feel free to call me on my office phone (575) 492-2819 also.
    K. Time Zone: Mountain Time
    L. Prerequisite(s): TS 113F or appropriate placement test score
    M. Corequisite(s): None
    N. Class Location: LHSITV

    This intermediate algebra course is designed for students in general education and technical fields. This course provides a review of fundamental operations of algebra, linear equations, exponents, radicals, rational expressions, quadratic equations, and inequalities. Additional topics include graphing linear equations, quadratic functions, and solving systems of linear equations. This course is not open to students who have credit for MA 113 or its equivalent. This is a three credit hour course. Prerequisite: TS113F or equivalent or appropriate score on a placement test.


    This is an algebra course designed to prepare students for courses such as College Algebra, Statistics, and Math Analysis. Although it is considered a college level course at New Mexico Junior College and it fulfills the requirements for NMJC’s AA & AS degrees, it is always advisable to check with the college or university of your choice for transferability.



    Hawkes Learning Systems ISBN 9781642770315 / Developmental Math 2e software + Developmental Math 2e guided notebook.
    This pertains to Developmental Mathematics, D. Franklin Wright,

    Note: Hawkes courseware comes with an automatic free trial period of 28 days. It is safe to wait until you have attended class for the first time before purchasing any materials.
    minimum browser requirements:

    • Google Chrome 25 52…
    • Mozilla Firefox 28 48
    • Internet Explorer 11 11
    • Edge 20 25…
    • Safari 6.1 9.1


    A scientific calculator is recommended. If you plan to take College Algebra or Statistics, you will be required to have some version of the TI83 or TI84, you might want to purchase it now and get used to it.

    You can buy your books online at the NMJC Bookstore.


    Students attending New Mexico Junior College will be evaluated according to the following grading scale:

    						90 - 100%	=	A
    						80 -  89%	=	B
    						70 -  79%	=	C
    						60 -  69%	=	D
    					 	 0 -  59%	=	F

    For this Course your grade will be made up of the following:

    HOMEWORK: 15%
    TESTS: 20%

    Attendance: Attendance grades are given daily. Attendance will be taken by the instructor in your classroom. If you don’t see your name checked off on the overhead screen, then you probably arrived after attendance was taken. It is your responsibility to inform the instructor/monitor of your presence. If you miss a class, it is your responsibility to make up missed work. Class notes will be posted in ONE NOTE via our Canvas Modules (You MUST register for ONE NOTE and you MUST do it using your NMJC email account). It is your responsibility to read the notes and have all requirements turned in on time, regardless of missing class. Students here on NMJC campus can use the computers in the Learning Assistance Center (Pannell Library (BUC) 492-2614) to read the class notes in cases of trouble with their own hardware. I will not accept the excuse that you could not open the notes. You must read through the notes and be certain you have everything completed on the day you return to class. Sometimes we have extra credit or pop quizzes. These make-up papers must be received by the following class day, if you are out for more than one class day, you must contact your instructor/monitor and explain the situation. These make-up papers must be documented as to 'quiz' or 'extra credit' with full heading. If you are unable to make it to the next class, you may send the work with a friend, email a picture or your work or fax the work to me at (575)492-2821. There are many resources available through Hawkes. You may also contact your instructor or the tutoring center for assistance, but only after you've reviewed the class notes and Hawkes Learn.

    Attendance Scoring: Each student has the opportunity to earn an attendance grade of 100% every day. The 100% grade requires the student to be ready for class when class begins: Pencils sharpened, paper ready. Students must remain alert and attentive through-out the class, participate in the class, arrive on time and not leave the room until dismissed.
    Excused and Unexcused Absences: The only excused absences are school events such as sports, music or class field trips. In these cases, you must notify your instructor prior to the day of the absence. Do not rely on your coach or professor to send the emails. You the student will receive no grade for attendance on the day of the event (not a zero, not a 100, it is as if that day doesn't exist in your attendance scores). All other absences (including reasons regarding health) will earn the student a zero for attendance. Appointments with counselors or other teachers are not excused absences. Doctor appointments, sick family members, funerals and work are not excused absences.

    Homework: Homework must be done in HAWKES. All homework is due at the beginning of the next class after the material was presented. Because we are using Hawkes you do not need to turn in anything to me, however; you should print off your grade with the date of completion or periodically take pictures and keep this documentation, in the event Hawkes loses some of your records, this will be the only way to secure credit. If you are having technical difficulties you should contact Hawkes by sending an email, getting in a chat session or call the help desk at 843-571-2825. If you have trouble working a problem in the homework, you should utilize the resources available: Hawkes Learn, or ask a tutor for help. You may also ask your instructor for help or email the problem to your instructor. It may not be possible to pull up Hawkes in the classroom. If you email the problem in advance your instructor can print it out before class and do the problem in class, or better yet, you can print out the problem and give it to your instructor, (be sure you go through the entire problem to get all the parts). If you find yourself asking Hawkes for assistance it is likely you have not internalized the concept. You must be able to wait at least 6 hours after viewing the explanation or example, and do the problem on your own before you can consider yourself competent for the moment. I advise you to go back after a few days and before the exam and make sure you can still do the problem without any assistance.

    The format for all paper and pencil work must be as follows: Your name, course title, day and time the class meets, and the assignment (X credit, Quiz...) in the upper right corner of the first sheet. Staple multiple pages, paper clips are not acceptable. All problems must be listed down the page, not across the page. Leave a blank line between problems, circle your answers and write legibly. If I cannot read it, or work is not shown, it is wrong. Ten points may be subtracted for each infraction of the above format requirements.

    Tests: All tests will be done outside of class time through Hawkes, the 5 assessments will be paper and pencil. If you need to take a test after the deadline, you must get me to input the extension in Hawkes. I am very generous with small extensions until the last three weeks of classes, then I become very rigid.

    Midterm and Final Exam: The Midterm is one "ASSESSMENT". The final exam is composed of 4 "ASSESSMENTS" that are paper and pencil, you must take them in a proctored situation, with me or in the testing center. You must show work, either on the test or on scratch paper and label each problem. Problems must be listed on scratch paper in logical order. If I don't see the process you used, or if it is not the process required, I may count the problem wrong. The testing center is located in the Ben Alexander Student Center. The hours are 8:00am-7:00pm Monday-Thursday, 8:00am-5:00pm Friday and 10:00am-2:00pm Saturday. You must make an appointment to use the testing center, in advance and with a picture I.D. In the case of bad weather, it is always wise to call and verify they are not closing early: (575) 492-2591. You are only allowed your calculator and scratch paper, no additional help during an exam, you may NOT have your cell phone with you under any circumstances.


    New Mexico Junior College’s institutional student learning outcomes represent the knowledge and abilities developed by students attending New Mexico Junior College. Upon completion students should achieve the following learning outcomes along with specific curriculum outcomes for respective areas of study:


    Intermediate Algebra (MA113A) is designed to expand the student’s mathematical reasoning ability with an introduction to rational expressions, radical expressions and functions.

    The course content of Intermediate Algebra (MA113A) supports NMJC’s mission of “promoting success through learning” by encouraging students to accomplish the following:

    ·         Graph various types of functions.  

    ·         Solve various types of equations. 

    ·         Use the necessary notation for each topic including showing work for sequences of simplifying expressions.  

    ·         Set up and solve various types of application problems. 

    ·         Apply each of the above skills as part of the critical thinking and problem solving process.




    A student who successfully completes Intermediate Algebra should be able to:

    ·         Solve linear equations and inequalities;

    ·         Solve compound and absolute value equations and inequalities;

    ·         Factor polynomials;

    ·         Simplify rational expressions and complex fractions;

    ·         Add, subtract, multiply and divide rational expressions;

    ·         Solve equations and application problems involving rational expressions;

    ·         Graph linear equations;

    ·         Determine the equation of a line from given information;

    ·         Use function notation;

    ·         Solve systems of linear equations and applications;

    ·         Simplify radicals;

    ·         Add, subtract, multiply, and divide radical expressions and complex numbers;

    ·         Solve quadratic equations;

    ·         Solve applications of quadratic equations;

    ·         Solve applications involving graphs of parabolas.



    This syllabus is my opportunity to tell you how I manage this class and give you notice of what is expected of you as a student. Please remember that I will do everything I can to help you and I expect you to be motivated and responsible for your own grade. To be successful in this class you must be in class, make time to do the homework and take the tests in the time allowed. It is customary in college level courses that students spend a minimum of 2 hours studying outside of class for every one hour of lecture time, that means you should be spending 6 hours per week besides class time, working on this class material. With this in mind the following are items you need to know.


    If you are having difficulty with the material at any time please arrange to come see me during office hours, or make an appointment. There are many avenues here at NMJC for you to attain help.

    1. Online tutoring is available to all NMJC students. Look in section IX of this syllabus: General/Miscellaneous. Tutoring Assistance is toward the end of that section. There is a link to Brainfuse which offers online tutoring.

    2. Personal tutors are available through the Director of Learning Assistance in room 124 Mansur Hall on New Mexico Junior College Campus, or call (575) 492-2623.

    3. Study groups that you arrange with class mates are also an excellent way to improve your performance in the class. If you are having trouble finding an interested classmate, ask your professor for assistance.


    1. Cheating will not be tolerated. If there is any evidence of cheating I must assign a zero on the work in question, possibly for the entire class.

    2. All students are to act appropriately for a college classroom. Disruptions will not be tolerated. Any students causing a disruption will be asked to leave; the student will lose attendance credit for that class and will not be allowed to make up work missed that day. That student is still responsible for any material or assignments.

    3. Cell Phones and pagers are to be silenced while you are in the classroom. Visit with me prior to the start of class if you have a special situation or emergency.

    4. No perfume please, It causes your instructor a serious health problem. If you forget, please sit in the back of the room and do not come to my office.


    Students will be held responsible for the information on these pages.

    Academic Honesty
    Each student is expected to maintain the highest standards of honesty and integrity in online academic and professional matters. The College reserves the right to take disciplinary action, up to and including dismissal, against any student who is found guilty of academic dishonesty or otherwise fails to meet these standards. Academic dishonesty includes, but is not limited to, dishonesty in quizzes, tests, or assignments; claiming credit for work not done or done by others; and nondisclosure or misrepresentation in filling out applications or other College records. Cheating or gaining illegal information for any type of graded work is considered dishonest and will be dealt with accordingly.

    Americans with Disabilities Act (ADA) Information
    Any student requiring special accommodations should contact the Special Needs Student Services Coordinator at (575) 492-2576 or by e-mail at

    Attendance Policy
    Attendance is required at every session of each course for which the student is enrolled. When unavoidable circumstances make attendance impossible, students must provide a satisfactory explanation of their absences to their professors. College-sponsored activities are considered excused absences and the appropriate sponsor of those students who will be absent from class will notify professors. Students having absences due to college-sponsored activities will need to make arrangements with the affected classes / professor to take care of required work; however, arrangements for make-ups should be made within a reasonable time frame, usually within one week of the absence. Regarding make-up work, absences due to late registration are considered the same as regular absences.

    Cell Phones/Pagers
    All cell phones and pagers must be turned off when the student is participating in any lecture, laboratory, or other learning activity.

    Classroom Conduct
    The professor is responsible for maintaining a class environment best suited for effective learning. By registering for this class, the student is assumed to have entered into an agreement with New Mexico Junior College and the professor to attend the class regularly and to behave in an appropriate manner at all times. Disruptive behavior may result in the student being removed from the class.

    Food and Drink Policy
    Food items and soft drinks may not be consumed in NMJC classrooms. Students are also discouraged from bringing food and drink items into the classroom even though these items remain in sealed packaging. Bottled water is permissible.

    No Children in the Classroom
    In order to adhere to instructional procedures as well as maintain the safety of children, NMJC’s policy of no children in the classrooms (lecture, lab, etc.) will be followed.

    Offering the work of another as one’s own, without proper acknowledgment, is plagiarism; therefore, any student who fails to give credit for quotations or essentially identical expression of material taken from books, encyclopedias, magazines and other reference works, or from the themes, reports, or other writings of a fellow student, is guilty of plagiarism. Plagiarism violates the academic honesty policy and is considered cheating.

    Smoking/Use of Tobacco
    New Mexico Junior College is cognizant of the health hazards associated with smoking / use of tobacco for the smoker, as well as the non-smoker. In an effort to provide a healthy environment for students, employees, and others who may frequent the campus, NMJC prohibits smoking / use of tobacco inside any campus building or facility.

    Tutoring Assistance
    Free tutoring services are available to all NMJC students through Brainfuse and the Academic Success Center located at the Pannell Library on the 1st floor.

    Withdrawal Policy
    Regular, punctual attendance is required for all classes at NMJC. Although the professor has the right to drop any student who has missed the equivalent of 2 weeks of instruction (based on a 16 week semester) whether it’s a face to face, online, or a hybrid course, it is not guaranteed that the professor will drop the student. If the student chooses to stop attending a class, he/she should withdraw from the class by accessing your student account in the T-Bird Web Portal at, or submitting the required paperwork to the Registrar’s Office by 5:00 p.m. on Tuesday, November 19, 2019. All students are encouraged to discuss their class status with the professor prior to withdrawing from the class.


    Intermediate Algebra

    Course Outline (Subject to change), Fall 2019



    Objective / Title



    Course Introduction



    Compound Inequalities



    Absolute Value Equations



    Absolute Value Inequalities



    Slope-Intercept Form



    Point-Slope Form



    Introduction to Functions and Function Notation



    Test 1 over 9.8 to 10.5






    Systems of Linear Equations: Solutions by Graphing



    Systems of Linear Equations:  Solutions by Substitution



    Systems of Linear Equations:  Solutions by Addition



    Applications: Distance-Rate-Time, Number Problems, Amounts, and Costs



    Applications:  Interest and Mixture



    Test 2  Chapter 11 Test






    Review of Factoring Techniques



    Solving Quadratic Equations by Factoring



    Applications:  Quadratic Equations



    Test 3   Chapter 13 Test






    Introduction to Rational Expressions



    Multiplication and Division of Rational Expressions



    Adding and Subtracting with Rational Expression



    Simplifying Complex Fractions



    Solving Rational Equations



    Applications:  Rational Expressions



    Applications:  Variation





    Assessment of Rational Expressions

    (All ASSESSMENTS are PROCTORED exams.  Details and deadlines announced in class and/or Canvas.)






    Evaluating Radicals



    Simplifying Radicals



    Rational Exponents



    Addition, Subtraction, Multiplication with Radicals



    Rationalizing Denominators



    Solving Radical Equations



     Functions with Radicals



    Introduction to Complex Numbers



    Multiplication and Division with Complex Numbers



    Test 5  Chapter 15 Test






    Quadratic Equations:  The Square root method



    Quadratic Equations:  Completing the Square



    Quadratic Equations:  The Quadratic Formula



    More Applications of Quadratic Equations



    Graphing Quadratic Functions



    More on Graphing Quadratic Functions and Applications



    Test 6 Chapter 16 Test






    Algebra of Functions



    Composition of Functions and Inverse Functions



    Exponential Function



    Logarithmic Functions



    Properties of Logarithms



    Common Logarithms and Natural Logarithms



    Logarithmic and Exponential Equations and Change-of-Base



    Test 7 Chapter 17 Test (if time permits)





    Final ASSESSMENTS are PROCTORED exams.  Details and deadlines announced in class and/or in Canvas. 

    The FOUR Final assessments must by completed by Wednesday Noon December 11