Worcester State University
Academic Success

Elementary Algebra

There are three categories in the Elementary Algebra Test. The first category, 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 expressions. It tests your skills in evaluating simple formulas and expressions, and in adding and subtracting monomials and polynomials.

Both these categories include questions about multiplying and dividing monomials and polynomials, evaluating 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, quadratic equations by factoring, verbal problems presented in algebraic context, geometric reasoning, the translation of written phrases into algebraic expressions, and graphing. 12-16 questions are presented.

Below are five sample questions representing the level of material.

1: -52 – (2 – 3)

A)25     B) -24     C) 26     D)24



2: If 6x2 +15x - 9 is factored completely, one of the factors will be:

A) x + 3     B) x - 1     C) 2x -3     D) 2x2 - 1



3: 1/(2x) + 4/3 =

A) 5/x     B) 5/(6)     C) (3 + 8x)/(6x)     D) (1 +4x)/(5x)



4: (3x - 4y)2 =

A) 9x2 - xy + 16     B) 9x2 + 16y2     C) 1xy     D) 9x2 - 24xy + 16y2


5: 6x - y = 6 Solve the system of equations: y=3x + 6y = 5

A) no solution     B) 4/13     C) 6/5     D) -5/6



The correct answers are:

1.(B)  2.(A)  3.(C)  4.(D)  5.(B)

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