A. Demonstrate an understanding of the real numbers and their properties .
B. Extend the basic operations and factoring with polynomials.
C. Extend the basic operations of rational expressions.
D. Solve first and second degree equations and inequalities in one variable.
E. Perform the basic operations of complex numbers.
F. Demonstrate the ability to use the definitions and laws of exponents, roots
and radicals .
G. Graph equations and inequalities in two variables .
H. Solve systems of equations and inequalities.
I. Demonstrate an understanding of functions.
J. Apply concepts and techniques to problem solving.
V. Academic Integrity
Students and employees at Oakton Community College are required to demonstrate
and fol low Oakton ’s Code of Academic Conduct. This code prohibits:
• plagiarism (turning in work not written by you or lacking proper
• falsification and fabrication (lying or distorting the truth),
• helping others to cheat,
• making unauthorized changes in official documents,
• pretending to be someone else or having someone else to pretend to be
•making or accepting bribes, special favors, or threats, and any other
behavior that violates
There are serious consequences to violations of the academic integrity policy.
Oakton's policies and
procedures provide students with a fair hearing if a complaint is made. If you
are found to have violated
the policy, the minimum penalty is failure on the as signment 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. Details of the
Code of Academic Conduct can be found in the Student Handbook.
VI. Outline of Topics
A. Real Numbers
3. Real number system
B. Solving Equations and Inequalities in One Variable
1. Solving linear equations
3. Solving linear inequalities
4. Compound inequalities
5. Absolute value equations and inequalities
C. Graphing Equations and Inequalities in Two Variables
1. Rectangular coordinate system
2. Distance, midpoint and slope formula
4. Slope-intercept and point-slope formulas
5. Parallel and perpendicular lines
6. Graphing inequalities
7. Graphing circles with center at origin
D. Systems of Equations and Inequalities
1. Graphical solution
2. Algebraic solutions ( elimination and substitution )
3. Solution of systems with three variables
4. Nonlinear equations
5. Systems of inequalities
G. Exponents, Roots and Radicals
1. Laws of exponents
2. Scientific notation
3. Rational exponents
4. Simplifying radical expressions
5. Operations with radical expressions
6. Rationalizing denominators
7. Solving equations with radical expressions
H. Complex Numbers
2. Simplifying powers of i
3. Basic operations
I. Quadratic Equations and Inequalities
1. Solving by factoring
2. Solving by completing the square
3. Solving by use of quadratic formula
5. Algebraic solutions of nonlinear systems
6. Solving nonlinear inequalities
2. Function notation
3. Graphing linear and quadratic functions
K. Suggested optional topics: exponential and logarithm functions and equations.
VII. Methods of Instruction
Lectures, discussion, and regularly assigned homework through text and online
Calculators will be used when appropriate.
VIII. Course Practices Required
It is highly recommended that one attends and participates in each and every
class meeting. It is
recommended that all assigned work should be at least attempted, and at best be
understood. Active participation is encouraged for a better understanding of the