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This test is designed to measure how well the student understands what he/she reads. Some are of the sentence relationship type in which the student must choose how two sentences are related. Other questions refer to reading passages of various lengths. Some passages are 75 words in length, while others are longer.
There are three categories in the Elementary Algebra Test. First, operations with integers and rational numbers, includes computation with integers and negative rationals, the use of absolute values, and ordering. The second category is operations with algebraic formulas and expressions, and adding and subtracting monomials and polynomials. Both of these categories include questions about multiplying and dividing monomials and polynomials, the evaluation of positive rational roots and exponents, simplifying algebraic fractions, and factoring. The third category tests skills in solving equations, inequalities, and word problems. These questions include solving systems of linear equations, the solution of quadratic equations by factoring, solving verbal problems presented in algebraic context, geometric reasoning, the translation of written phrases into algebraic expressions, and graphing.
The College-Level Mathematics test assesses proficiency from intermediate algebra through precalculus. 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 inequalities, equation systems, and other algebraic equations. Coordinate geometry asks questions about plane geometry, the coordinate plane, straight lines, conics, set 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 word problems. The last category, functions and trigonometry, presents questions about polynomial, algebraic, exponential, logarithmic and trigonometric functions. |