Placement Test Center _____________________________________________________________ Thomas Rousseau, M.Ed. – Assistant Dean of Academic Support Services trousseau@fitchburgstate.edu ACCUPLACER College-Level Mathematics Test A total of 20 questions are administered in the College-Level Mathematics Test (CLM). CLM assesses proficiency in intermediate algebra through pre-calculus. At Fitchburg State University students who score 95 or higher are eligible to enroll in Calculus I. Questions administered in this test, representing six general categories, are as follows: • A l g e b r a i c Operations, including simplifying rational algebraic expressions, factoring and expanding polynomials, and manipulating roots and exponents. • S o l u t i o n s of Equations and Inequalities, including the solution of linear and quadratic equations and inequalities, systems of equations, and other algebraic equations. • C o o r d i n a t e Geometry involving plane geometry, the coordinate plane, straight lines, conics, sets of points in the plane, and graphs of algebraic functions. • Applications and Other Algebra Topics, including complex numbers, series and sequences, determinants, permutations and combinations, factorials, and word problems. • F u n c t i o n s including questions involving polynomial, algebraic, exponential, and logarithmic functions. Trigonometry including trigonometric functions. College-Level Mathematics Proficiency Statements Total Right Score of About 63 Students scoring at this level can demonstrate the following additional skills: identify common factors • f a c t o r binomials and trinomials • m a n i p u l a t e factors to simplify complex fractions • w o r k with algebraic expressions involving real number exponents • f a c t o r polynomial expressions • s i m p l i f y and perform arithmetic operations with rational expressions, including complex fractions • s o l v e and graph linear equations and inequalities • s o l v e absolute value equations • s o l v e quadratic equations by factoring • g r a p h simple parabolas • u n d e r s t a n d function notation, such as determining the value of a function for a specific number in the domain • have a limited understanding of the concept of function on a more sophisticated level, such as determining the value of the composition of two functions. have a rudimentary understanding of coordinate geometry and trigonometry Total Right Score of About 86 Students scoring at this level can demonstrate the following additional skills: • u n d e r s t a n d polynomial functions • e v a l u a t e and simplify expressions involving functional notation, including composition of functions solve simple equations involving: • t r i g o n o m e t r i c functions • l o g a r i t h m i c functions • e x p o n e n t i a l functions Total Right Score of About 103 Students scoring at this level can demonstrate the following additional skills: • p e r f o r m algebraic operations and solve equations with complex numbers • u n d e r s t a n d the relationship between exponents and logarithms and the rules that govern the manipulation of logarithms and exponents • u n d e r s t a n d trigonometric functions and their inverses solve trigonometric equations manipulate trigonometric identities solve right triangle problems • r e c o g n i z e graphic properties of functions such as absolute value, quadratic, and logarithmic Reference Guide for College Level Mathematics ACCUPLACER Placement Test (A score of 95 or better meets the prerequisite required for enrolling MATH 2300 Calculus I) You are allowed to use a non-graphing calculator and the trigonometric information provided below during the exam. This is a difficult exam to pass at this level. If you have questions or would like to request additional resources for preparing, please contact Mary Ann Barbato – Mathematics Department Chairperson at msaadi@fitchburgstate.edu or (978)665-3211.