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# PREPARATION GUIDE FOR ALGEBRA COMPETENCY TEST

One way you can fulfill the algebra competency component of Franklin University’s
General Education Mathematics Requirement is to pass the Algebra Competency Test.
The Algebra Competency Test consists of 22 multiple-choice questions. To pass the test,
you must answer at least 16 of the questions correctly. You have two hours in which to
take the test, and you may use a calculator.

• The questions on the test address topics generally taught in high school Algebra 2. The
topics include:

• Applying the properties of real numbers (especially, commutative, associative,
distributive, identity)

• Simplifying algebraic expressions (including expressions with exponents, radicals, and
absolute values)

• Solving and graphing linear equations and inequalities

• Solving formulas for specific variables

• Applying the rules of exponents (including rewriting expressions with negative exponents
using positive exponents and applying rational exponents)

• Simplifying polynomials (adding, subtracting, multiplying, dividing)

• Factoring polynomials

• Simplifying, adding, subtracting, multiplying, and dividing rational expressions

• Solving rational equations

• Solving application problems involving rational equations

• Applying the definition of function

• Identifying the domain and range of specific functions

• Evaluating functions at particular values

• Identifying the slope and y-intercept in linear equations

• Writing the equation of a line given a point and the slope or two points

• Solving systems of linear equations in two and three variables

• Solving absolute value equations and inequalities

• Solving systems of linear inequalities

• Solving quadratic and rational inequalities

To aid you in your preparation, the following chart refers to the relevant sections in the
textbook and a set of video lectures provided by the textbook publisher.

Textbook: Bittinger, Marvin L., and Beecher, Judith A. (2007). Introductory and
Intermediate Algebra: A Combined Approach. Boston, MA: Addison-Wesley. ISBN:
0-321-31909-5.