
City Colleges of Chicago 
Course Title: Intermediate Algebra with
Geometry

Length of course:
16 Weeks 
Contact Hours:
Contact Hours 
Credit Hours:
5 Credit Hours 
Lecture Hours:
5 Lecture Hours 


Catalogue Description:
Algebraic topics include: rational exponents; scientific
notation; radical and rational expressions; linear, quadratic, quadratic
in form, rational, radical, and absolute value equations; compound
linear inequalities; literal equations; systems of linear equations in
two and three variables; systems of linear inequalities; and
introduction to functions. Geometric topics include: perimeter; area;
volume; Pythagorean Theorem; and similarity and proportions.
Students should be exposed to graphing calculator technology and/or
computer algebra systems. Writing assignments, as appropriate to the
discipline, are part of the course. 
Students the Course is Expected to Serve:
This course is intended to prepare students for
collegelevel mathematics. It is a prerequisite for transferable college
mathematics courses. 
Prerequisites:
Placement Test  or Consent of Chair  or
Prerequisite  MATH 098 With a minimum grade of 'C' or
Prerequisite  PC MATH 3004 With a minimum grade of 'S'

Course Objectives:
 Develop the algebraic skills necessary for problem solving.
 Develop the ability to model linear, quadratic, and other
nonlinear relations, including the use of the graphing techniques and
geometrical principles as tools, for the purpose of solving contextual
(realworld) problems.
 Manipulate and apply literal equations for the purposes of solving
contextual (realworld) problems.
 Writing and communicating the results of problem solving
appropriately.
 Use technology as one aide for the purposes of solving contextual
(realworld) problems.

Student Learning Outcomes:
Upon satisfactory completion of the course, students will be
able to:
 Simplify expressions containing rational exponents.
 Perform operations on and simplify radicals.
 Perform operations on and simplify rational expressions.
 Solve quadratic equations with real solutions, including the use
of the quadratic formula.
 Solve rational equations.
 Solve absolute value equations of the form ax + b=c.
 Solve radical equations of the form: square root(ax + b) = c.
 Solve compound linear inequalities.
 Solve systems of linear inequalities in two variables.
 Solve systems of linear equations in two and three variables.
 Formulate and apply an equation, inequality or system of linear
equations to a contextual (realworld) situation.
 Solve and evaluate literal equations, including nonlinear
equations.
 Formulate and apply nonlinear literal equations to a contextual
(realworld) situation.
 Graph linear and quadratic equations.
 Determine equations of lines, including parallel and perpendicular
lines.
 Determine whether given relationships represented in multiple
forms are functions.
 Determine domain and range from the graph of a function.
 Formulate and apply the concept of a function to a contextual
(realworld) situation.
 Interpret slope in a linear model as a rate of change.
 Apply formulas of perimeter, area, and volume to basic 2 and
3dimensional figures in a contextual (realworld) situation.
 Apply the Pythagorean Theorem to various contextual (realworld)
situations.
 Apply the concepts of similarity and congruency of triangles to a
contextual (realworld) situation.

Topical Outline:
Suggested Timeframe
Week

Topic

1

Algebraic
Expressions 
25

Linear Equations &
Inequalities 
6

Exponents & Scientific
Notations 
710

Quadratic
Equations 
1113

Rational and Absolute Value
Equations 
14

Geometry 
1516

Functions 


Methods of Evaluation:
Total Percentage: 0% The weight given to exams,
quizzes, and other instruments used for evaluation will be determined by
the instructor. COMPASS and/or Department Exit Examination will also be
used to evaluate the student. 
Methods of Assessment:
Exams, quizzes, homework and other assessments will be used
as appropriate to measure student learning. 
Methods of Instruction:
Problembased activities, collaborativelearning
techniques, and lecture will be used as
appropriate.

Recommended Text:
 Larson, R. et.al. Intermediate Algebra 4th Edition,
Houghton Mifflin, 2004
 MartinGay, K. Elayn Beginning and Intermediate Algebra 3rd
Edition, Prentice Hall, 2004

