I. General Information
1. Course Title:
Intermediate Algebra
2. Course Prefix & Number:
MATH 0820
3. Course Credits and Contact Hours:
Credits: 4
Lecture Hours: 4
4. Course Description:
This course will review many introductory algebra topics as well as introduce more advanced topics in algebra. Topics taught in this course include: linear equations and inequalities, graphing equations and inequalities, writing equations of lines, functions, systems of equations, exponents, polynomials, factoring, rational expressions and equations, complex numbers, radicals, and quadratic functions. Additional topics may also be covered.
5. Placement Tests Required:
Accuplacer (specify test): 
Math PreCollege Level or Math Introductory College Level or Algebra College Level or PreCalculus College Level or Calculus College Level 
Score: 

Other (specify test): 
Elementary Algebra 
Score: 
52

6. Prerequisite Courses:
MATH 0820  Intermediate Algebra
Applies to all requirements
Accuplacer Arithmetic score of 80 or higher, or Elementary Algebra score of 52 or higher, or MATH 0790 or MATH 0800
9. Corequisite Courses:
MATH 0820  Intermediate Algebra
There are no corequisites for this course.
II. Transfer and Articulation
1. Course Equivalency  similar course from other regional institutions:
North Hennepin Community College, Math 0980 PreCollege Algebra, 5 credits
Northland Community and Technical College, Math 0094 PreCollege Algebra, 4 credits
Saint Cloud Technical and Community College, Math 0475 Principles of Intermediate Algebra, 4 credits
Minnesota State University, Mankato, Math 098 Intermediate Algebra, 4 credits
III. Course Purpose
1. ProgramApplicable Courses – This course is required for the following program(s):
3. Other  If this course does NOT meet criteria for #1 or #2 above, it may be used for the purpose(s) selected below:
Developmental Course
IV. Learning Outcomes
1. CollegeWide Outcomes
CollegeWide Outcomes/Competencies 
Students will be able to: 
Analyze and follow a sequence of operations 
Demonstrate each required step in the algebraic process of solving equations. 
Apply abstract ideas to concrete situations 
Use algebraic equations to apply abstract ideas to concrete situations. 
Utilize appropriate technology 
Use a graphing calculator to solve equations and systems of equations. 
2. Course Specific Outcomes  Students will be able to achieve the following measurable goals upon completion of
the course:
 Simplify algebraic expressions;
 Solve linear equations and inequalities;
 Graph linear equations and inequalities in two variables;
 Write equations of lines;
 Determine if a relation is a function;
 Evaluate functions using function notation;
 Solve application problems using linear functions;
 Solve systems of equations;
 Solve application problems using systems of equations;
 Simplify expressions involving exponents;
 Perform operations on polynomials;
 Factor polynomials;
 Solve higher degree polynomial equations by factoring;
 Simplify and perform operations with rational expressions;
 Simplify and perform operations with radicals;
 Perform operations with complex numbers; and
 Solve quadratic equations using the quadratic formula.
V. Topical Outline
Listed below are major areas of content typically covered in this course.
1. Lecture Sessions
 Equations in one variable
 Simplify algebraic expressions by applying the distributive property and combining like terms
 Solve linear equations
 Solve application problems using linear equations
 Solve problems using literal equations
 Inequalities in one variable
 Solve simple and compound inequalities
 Graph the solution set to an inequality on a number line
 State the solution set to an inequality using interval notation
 Solve application problems using inequalities
 Equations in two variables
 Graph linear equations by finding intercepts or by making a table
 Graph horizontal and vertical lines
 Graph linear equations using the slope and yintercept
 Determine the slope of a line from the graph, the equation, or two points on the line
 Find the equation of a line
 Determine if two lines are parallel or perpendicular
 Solve application problems that can be modeled with linear equations in two variables
 Inequalities in two variables
 Graph linear inequalities in two variables
 Systems of linear equations
 Solve systems of linear equations in two variables by graphing
 Solve systems of linear equations in two variables by addition
 Solve systems of linear equations in two variables by substitution
 Solve systems of linear equations in two variables using a graphing calculator
 Solve application problems using a system of equations
 Functions
 Define a relation and function
 Determine if a relation is a function given a set of ordered pairs, a graph, or an equation
 State the domain and range of relations and functions
 Identify the graphs of basic functions
 Use function notation
 Exponents and polynomials
 Simplify numeric and algebraic expressions by applying the properties and rules for integer exponents
 Add, subtract, multiply, and divide polynomials
 Divide polynomials using synthetic division
 Evaluate polynomial functions using synthetic division and the Remainder Theorem
 Factoring polynomials
 Factor out a greatest common factor
 Factor by grouping
 Factor binomials and trinomials
 Factor polynomials completely using multiple methods of factoring
 Solve quadratic equations by factoring
 Solve higherdegree polynomial equations by factoring
 Rational expressions and rational functions
 Simplify rational expressions using factoring techniques
 Add and subtract rational expressions that contain a common denominator
 Multiply and divide rational expressions
 Solve equations involving rational expressions
 Rational exponents and roots
 Simplify expressions involving rational exponents
 Apply properties of radicals
 Write radical expressions in simplest form
 Solve basic radical equations
 Complex numbers
 Add, subtract, and multiply complex numbers
 Quadratic functions
 Solve quadratic equations by factoring
 Solve quadratic equations using the quadratic formula
 Solve application problems that can be modeled by quadratic equations
 Graph a quadratic equation