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College-Level Mathematics

The College-Level Mathematics test assesses proficiency from intermediate algebra through precalculas. Six categories are covered. Algebraic operations includes simplifying rational algebraic expressions, factoring and expanding polynomials, and manipulating roots and exponents. The category of solutions of equations and inequalities includes the solution of linear and quadratic equations and inequities, equation systems, and other algebraic equations.

Coordinate geometry asks questions about plane geometry, the coordinate plan, straight lines, conics, sets of points in the plane, and graphs of algebraic functions. Applications and other algebra topics ask about complex numbers, series and sequences, determinants, permutations and combinations, fractions, and work problems. The last category, functions and trigonometry, presents questions about polynomial algebraic, exponential, logarithmic, and trigonometric functions.

Sample Questions:

Question 1:

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

Question 2:

In triangle ABC, a = 12, b = 16, and sin B=2/3

What is the measure of angle A in degrees?

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