Level 1 Math Placement Exam Sample Questions

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• Elementary Numeric and Algebraic Operations
  
  $${\frac{c}{d}} + 2 =$$
  
  $\begin{array}{lllll} (A) \displaystyle{\frac{c+2d}{d}} & (B) \display... ...C) \displaystyle{\frac{c+2}{d}} & (D) c + 2d & (E) c \end{array}$
• Rational Expressions
  
  $${\frac{c-d }{\frac{ 1}{d}- \frac{1}{c} }} =$$
  
  $\begin{array}{lllll} (A) \displaystyle{\frac{c-d}{dc}} & (B) \display... ...(C) dc & (D) -dc & (E) \displaystyle{ \frac{1}{dc} } \end{array}$
• Exponents and Radicals
  
  $\sqrt{3} + \sqrt{27} =$
  
  $\begin{array}{lllll} (A) 6 & (B) 3\sqrt{3} & (C) 4\sqrt{3} & (D) 10\sqrt{3} & (E) \sqrt{20} \end{array}$
• Linear Equations; Inequalities; Absolute Value
  
  If $3x + 2y = 8$ and $y= x-1 ,$ then $x$=
  
  $\begin{array}{lllll} (A) -6 & (B) \displaystyle{ \frac{6}{5} } & (C) ... ...\frac{7}{5} } & (D) \displaystyle{\frac{ 9}{5} } & (E) 2 \end{array}$
• Polynomials; Quadratic Equations
  
  One of the roots of $(x-2)(3x+4) =0$ is
  
  $\begin{array}{lllll} (A) -2 & (B) \displaystyle{ -\frac{4}{3} } & (C)... ...tyle{\frac{ 3 }{ 4 } } & (E) \displaystyle{ \frac{ 4 }{ 3 } } \end{array}$
• The Coordinate Plane and Graphing
  
  Which of the following is an equation of a line with slope $3$ and y-intercept of $-4$?
  
  $\begin{array}{lllll} (A) y = \displaystyle{ \frac{1}{3} }x -4 & (B) y... ...-4 & (C) y = 3x + 4 & (D) y = 4x - 3 & (E) y = 4x + 3 \end{array}$
• Functions and Logarithms
  
  If $\log_{10} x + \log_{10}y = 3,$ then $xy=$
  
  $\begin{array}{lllll} (A) 0.001 & (B) 1.0 & (C) 10 & (D) 100 & (E) 1000 \end{array}$
• Word Problems
  
  A student who correctly answered $72$ questions on a test received a score of $75$ % . How many questions were on the test?
  
  $\begin{array}{lllll} (A) 54 & (B) 72 & (C) 75 & (D) 96 & (E) 104 \end{array}$

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