The College-Level Mathematics test (CLM) assesses proficiencies in intermediate algebra through precalculus. This test enables institutions to place students into intermediate algebra, college algebra, trigonometry, or introductory calculus courses. These questions are not arranged in order of difficulty, so try to answer each question. You may be asked to:
factor and expand polynomials, manipulate fractional exponents, and simplify algebraic expressions
solve linear and quadratic equations and inequalities, other algebraic equations, and systems of equations
interpret graphs of algebraic functions
apply algebraic topics to complex numbers, series and sequences, and factorials
interpret graphs of trigonometric functions, solve trigonometric equations, and use trigonometric identities and the unit circle to find trigonometric values
DIRECTIONS: Solve the following problems and choose your answer from the alternatives given.
|2x - 5| 
7
(a) x = 6
(b) x = 6, x = -1
(c) x 
6, x -1
(d) -1 x 6
(e) x 6
Find the equation for the line through (4, -3) and (0, 6).
(a) 9x + 4y = 24
(b) -9x + 4y = 24
(c) 9x + 4y = 6
(d) -9x + 4y = 6
(e) 9x - 4y = 6
If f(x) = x4 - x + 2, then f(-x) =
(a) x4 - x
(b) x4 + x
(c) x4 - x + 2
(d) x4 + x + 2
(e) x4 + x - 2
For what values of x is x2 - 3x - 18 positive?
(a) x 
-3 or x 
6
(b) x -3 and x 6
(c) x 6 and x -3
(d) x -3
(e) x 6
Given f(x) = -2x + 3, find f -1(x) where f -1 is
the inverse of f.
(a) f -1(x) = 
(b) f -1(x) = 
(c) f -1(x) = 
(d) f -1(x) = 
(e) f -1(x) = 
The equation x2 + 2ix - 4 = 0 has as its roots:
(a) 
5 - i, -5 - i
(b) 5 - 1, 5 + i
(c) 3 - i, -5 + i
(d) 3 - i, 3 + i
(e) 3 - i, -3 - i
In a triangle ABC, a = 12, b = 16, and sin B = 
.
What is the measure of angle A in degrees?
(a) 90
(b) 15
(c) 60
(d) 30
(e) 45
READING COMPREHENSION | SENTENCE SKILLS | ARITHMETIC