# Intermediate Algebra

**I. Course Prefix/Number: **
MAT 110

** Course Name: **
Intermediate Algebra

** Credits: **
4 (4 lecture; 0 lab)

**II. Prerequisite **

**III. Course (Catalog) Description **

**IV. Learning Objectives **

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

**V. Academic Integrity and Student Conduct **

• 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

www.oakton.edu/studentlife/student-handbook.pdf

**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, and required website ancillaries.

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. Students are required to attend class hours. The course is divided into five modules. Each of the first four modules must be completed with the minimal posttest score of 70%, as prescribed by the department, to proceed to the final module for the course. All course work must be completed in a notebook.

Students may complete the course at any time during the semester. Upon completion of the course, the student should determine if MAT 080 is required for their course of study. If all module posttests of a course are not successfully completed within a semester, the student will receive an F, and the student can re-enroll in the same course the following semester at the beginning of their first uncompleted module.

You may not leave the room once the test has begun. No electronic devices, other than required calculators, are allowed during the tests. No notes may be used during a test. You may not migrate away from the test to another web site. If you do, the test will be shut down. You may not communicate with anyone during a test.

**IX. Instructional Materials **

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

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".

Textbooks can also be found at our Mathematics Textbooks page. http://www.oakton.edu/academics/academic_departments/math/student_resources/textbooks/index.php

A scientific or graphing calculator (no CAS like TI Nspire), notebook, and earphones are required. Phones cannot be used as calculators.

**X. Methods of Evaluating Student Progress **

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

Homework 100% (unlimited attempts – prerequisite for corresponding quiz)

Quizzes 70% minimum (2 attempts, before intervention for more attempts – prerequisite for posttest)

Posttests 70% minimum (complete posttest homework at 100% before 2^{nd} attempt, interventions for more attempts)

**The course grade is the average of the 5 module posttests that have been passed****. All module post-tests must be passed with a minimum of 70% to pass the class. **

**A 90 – 100%**

**B 80 – 89%**

**C 70 – 79%**

**F Did not earn 70% or higher on all 5 posttests**

*The following applies to the online section of this course only:*

This online course requires that students take their exams as directed by their instructor: either on campus at Oakton's Testing Center, at an authorized testing center with a face-to-face monitor, or remotely through a pre- approved testing service. *(To be customized by instructor.)*

**XI. Other Course Information **

*Individual instructors will establish and announce specific policies regarding attendance, due dates and make-up work, incomplete grades, etc.*

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

Resources and support for LGBTQ+ students can be found at www.oakton.edu/lgbtq.

Electronic video and/or audio recording is not permitted during class unless the student obtains written permission from the instructor. In cases where recordings are allowed, such content is restricted to personal use only. Any distribution of such recordings is strictly prohibited. Personal use is defined as use by an individual student for the purpose of studying or completing course assignments.

For students who have been approved for audio and/or video recording of lectures and other classroom activities as a reasonable accommodation by Oakton’s Access Disabilities Resource Center (ADRC), applicable federal law requires instructors to permit those recordings. Such recordings are also limited to personal use. Any distribution of such recordings is strictly prohibited.

Violation of this policy will result in disciplinary action through the Code of Student Conduct.