Intermediate Algebra

I.     Course Prefix/Number: MAT 110

       Course Name: Intermediate Algebra

       Credits: 4 (4 lecture; 0 lab)

II.    Prerequisite

MAT 070 or appropriate score on Mathematics Placement Test.

III.   Course (Catalog) Description

Course covers algebraic principles at intermediate level. Content includes real and complex numbers, exponents, polynomials, radicals, first- and second-degree equations, systems of equations, inequalities and rational expressions.  Course objectives will be achieved using computer-assisted learning, group discussions, and individual tutoring.  Note:  MAT 110 will not be counted towards an A.A., A.S., A.S.E, or A.F.A. degree, nor will most senior colleges or universities accept MAT 110 credits for transfer.

IV.   Learning Objectives

  1. Solve absolute value equations and inequalities, expressing answers in various forms, including interval and set-builder notation.
  2. Solve systems of equations with three variables.
  3. Factor sums and differences of cubes.
  4. Divide polynomials, including synthetic division.
  5. Perform operations on and simplify rational expressions.
  6. Simplify complex fractions.
  7. Solve rational equations and applied problems.
  8. Solve problems involving direct and inverse variation.
  9. Perform operations on and simplify radical expressions.
  10. Perform computations with rational numbers as exponents.
  11. Solve radical equations and applied problems.
  12. Perform the basic operations on complex numbers.
  13. Solve quadratic equations by factoring, using principle of square roots, completing the square and the quadratic formula. 
  14. Find the vertex and the line of symmetry of a quadratic function. 
  15. Recognize when a quadratic equation has none, one or two real solutions.

V.    Academic Integrity and Student Conduct

Students and employees at Oakton Community College are required to demonstrate academic integrity and follow Oakton's Code of Academic Conduct. This code prohibits:

• cheating,
• plagiarism (turning in work not written by you, or lacking proper citation),
• falsification and fabrication (lying or distorting the truth),
• helping others to cheat,
• unauthorized changes on official documents,
• pretending to be someone else or having someone else pretend to be you,
• making or accepting bribes, special favors, or threats, and
• any other behavior that violates academic integrity.

There are serious consequences to violations of the academic integrity policy. Oakton's policies and procedures provide students a fair hearing if a complaint is made against you. If you are found to have violated the policy, the minimum penalty is failure on the assignment and, a disciplinary record will be established and kept on file in the office of the Vice President for Student Affairs for a period of 3 years.

Please review the Code of Academic Conduct and the Code of Student Conduct, both located online at

VI.   Sequence of Topics

Module 11:  Systems of Equations
1.4 Sets, Inequalities and Interval notation
1.5 Intersections, Unions and Compound inequalities
1.6 Absolute value equations and inequalities
2.2 Functions and Graphs
3.5 Solving systems in 3 variables
3.6 Solving applied problems in 3 variables

Module 12: Factoring Polynomials, solving equations by factoring, simplifying, multiplying and dividing Fractions
4.6 Factoring Sums and differences of Cubes
4.7 Factoring: A general strategy
4.8 Solving polynomial equations by factoring and Applications
5.1 Multiplying, Dividing and Simplifying Rational Expressions
5.2 LCM’s and adding and subtracting fractions
5.3 Division of Polynomials

Module 13: Complex (compound) Rational Expressions, Solving Rational Equations, Solving Formulas, Variation
5.4 Complex (compound) Fractions
5.5 Solving Rational equations
5.6 Applications and Proportions
5.7 Formulas and Applications
5.8 Variation and Applications

Module 14: Radicals and Complex Numbers
6.1 Radical Expressions
6.2 Rational Numbers as Exponents
6.3 Simplifying Radical Expressions
6.4 Adding, Subtracting and more multiplication
6.5 More on Division of Radicals
6.6 Solving Radical Equations
6.8 The Complex Numbers

Module 15: Quadratic Equations and Functions
7.1 Solving Quadratic Equations by taking square roots and by completing the square
7.2 The Quadratic Formula
7.3 Applications of Quadratic Equations
7.4 More on Quadratic Equations
7.5 Graphing Quadratic Functions

VII.  Methods of Instruction

Methods of instruction include one-on-one and/or small group discussion, applied problem solving, quizzes and required website ancillaries.

Calculators / computers will be used when appropriate.
Course may be taught as face-to-face, hybrid or online course.

VIII. Course Practices Required

This course will be taught by an instructor with the use of an interactive computer website. Course participants must attend scheduled class hours as well as one computer lab hour per week. Students may be dropped from the course if they miss more than three class sessions or three lab hours.

The course grade is based only on the average of the 5 module tests that have  been passed.  All module post-tests must be passed with a minimum of 70 to pass the class.  Module post-tests which have not been passed may be retaken one time after getting 100% on the post-test homework.  If the test is failed twice, you must contact the instructor before you can retake the test again. 

Students must complete the following work with the following minimal scores:

    Homework:  (unlimited attempts)                        100%

    Quizzes (unlimited attempts)                                70%

    Module Post-Test:                                                70%

There is a practice test for each module that will cover the same material as the post-test and it is highly recommended you take this test as if you are under test conditions (no notes) to see if you are ready for the post-test.  This practice test can be done off-campus.

Each of the first four modules must be completed with at leaste a 70% to proceed to the final module for the course. All course work must be completed in a notebook.

Students may complete a course at any time during the semester.  If all modules of a course are not successfully completed within a semester, the student can re-enroll in the same course the following semester and begin working with their first uncompleted module.

IX.   Instructional Materials

Note: Current textbook information for each course and section is available on Oakton's Schedule of Classes.

Within the Schedule of Classes, textbooks can be found by clicking on an individual course section and looking for the words "View Book Information".

Current textbook information can also be found on the Math Department Course Syllabi page:

X.    Methods of Evaluating Student Progress

As determined by department and individual instructor.

XI.   Other Course Information

If you have a documented learning, psychological, or physical disability you may be entitled to reasonable academic accommodations or services. To request accommodations or services, contact the Access and Disability Resource Center at the Des Plaines or Skokie campus. All students are expected to fulfill essential course requirements. The College will not waive any essential skill or requirement of a course or degree program.

Oakton Community College is committed to maintaining a campus environment emphasizing the dignity and worth of all members of the community, and complies with all federal and state Title IX requirements.

Resources and support for
  • pregnancy-related and parenting accommodations; and
  • victims of sexual misconduct
can be found at

Resources and support for LGBTQ+ students can be found at