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Level 2 Math Placement Exam Sample Questions

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Elementary Operations with Numerical and Algebraic Fractions

$\displaystyle{ \frac{3x-2}{x+2} - \frac{2}{x-2}} =$

$\begin{array}{lllll} (A) \ \ \displaystyle{\frac{3}{x+2}} & (B) \ \ \displays... ...2} - 4}} & (E)\ \ \displaystyle{\frac{3x(x-4)}{{x^2} - {4x} + 4}} \end{array}$
Operations with Exponents and Radicals

$\displaystyle{ \frac{ x^{3a+2} } { x^{2a-1} } } =$

$\begin{array}{lllll} (A) \ \ \ x^{a+3} & (B) \ \ \ x^{a-3} & (C) \ \ \ x^{5a-1} & (D) \ \ \ x^{a+1} & (E) \ \ \ x^3 \end{array}$
Linear Equations And Inequalities

for what value of does $\displaystyle{\frac{2t-1}{3t+4}} = 2$

$\begin{array}{lllll} (A) \ \ -6 & (B) \ \ \displaystyle{ \frac{-9}{4} } & (C... ...o \ value \ of \ } t \mathrm{ \ satisfying \ this \ equation \ } \end{array}$
Polynomials and Polynomial Equations

If then =

$\begin{array}{lllll} (A) \ \ x^2 - 2 & (B) \ \ x^2 & (C) \ \ x(x + 2) & (D) \ \ x^2 + 2 & (E) \ \ (x + 2)^2 \end{array}$
Functions

If and then =

$\begin{array}{lllll} (A) \ \ -3 & (B) \ \ -1 & (C) \ \ 1 & (D) \ \ 2 & (E) \ \ 9 \end{array}$
Trigonometry

If $\sin \theta = \displaystyle{\frac{3}{5}}$ and $0 \leq \theta \leq \displaystyle{\frac{\pi}{2}}$ , then $\tan \theta$ =

$\begin{array}{lllll} (A) \ \ \displaystyle{ \frac{3}{2} } & (B) \ \ \displays... ...displaystyle{ \frac{4}{5} } (E) \ \ \displaystyle{ \frac{3}{4} } \end{array}$
Logarithmic and Exponential Functions

$\log_{3} 27 = 3$

$\begin{array}{lllll} (A) \ \ 81 & (B) \ \ 9 & (C) \ \ 3 & (D) \ \displaystyle{\frac{1}{3}} & (E) \ \ \displaystyle{\frac{1}{9}} \end{array}$
Word Problems

If $\displaystyle{\frac{2}{3}}$ is $\displaystyle{\frac{1}{2}}$ of $\displaystyle{\frac{4}{5}}$ of a certain number, then that number is

$\begin{array}{lllll} (A) \ \displaystyle{\frac{15}{4}} & (B) \ \displaystyl... ...displaystyle{\frac{5}{12}} & (E) \ \displaystyle{\frac{4}{15}} \end{array}$

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