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Take the following quiz to find out if you are ready for your math entrance exam. Try to answer each question without getting help from any other source.

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Question 1

Janet would like to purchase a $150.00 suit for work that is on sale reduced by 20%. She decides to open a new credit card account with the department store, thereby receiving an additional 10% off her purchase. How much will be charged on Janet’s new credit card for her suit?

A	$135.00
B	$105.00
C	$120.00
D	$108.00
E	$30.00

Question 2

Raquel worked 40 hrs this week and was paid $400. She gets paid time and $\frac{1}{2}$ for every hour over the 40 hrs she works. If Raquel is scheduled to work 55 hrs next week at the same pay rate, how much will she get paid?

A	$625.00
B	$550.00
C	$415.00
D	$225.00
E	$455.00

Question 3

On Monday, Marie painted $\frac{1}{2}$ of her bedroom before lunch and she painted $\frac{1}{3}$ of the same bedroom after lunch. What fraction of her bedroom does she have left to paint on Tuesday in order to complete the job?

A	$\displaystyle{\frac{1}{4}}$
B	$\displaystyle{\frac{1}{5}}$
C	$\displaystyle{\frac{1}{6}}$
D	$\displaystyle{\frac{1}{2}}$
E	$\displaystyle{\frac{5}{6}}$

Question 4

The side of a square is represented by $2x -3$, find the area of the square in terms of $x$.

A	$\displaystyle{4x^2–9}$
B	$\displaystyle{4x^2–12x+9}$
C	$\displaystyle{8x–12}$
D	$\displaystyle{4x^ 2–12x–9}$
E	$\displaystyle{4x^2+12x+9}$

Question 5

If ${ x – 3 }$ is to ${ x + 4 }$ as $1$ is to $3$, Find $x$.

A	$\displaystyle{2\frac{1}{2}}$
B	$\displaystyle{\frac{3}{4}}$
C	$\displaystyle{6\frac{1}{2}}$
D	$\displaystyle{1\frac{1}{4}}$
E	$\displaystyle{\frac{2}{13}}$

Question 6

\[3.42 \times 10^ {-3} =\]

A	$\displaystyle{0.00342}$
B	$\displaystyle{3,420}$
C	$\displaystyle{0.000342}$
D	$\displaystyle{342}$
E	$\displaystyle{0.342}$

Question 7

Evaluate: \[| -3 + 1 | - | 5 – 2 |\]

A	$\displaystyle{-9}$
B	$\displaystyle{-3}$
C	$\displaystyle{11}$
D	$\displaystyle{-1}$
E	$\displaystyle{-5}$

Question 8

For all $x\neq\pm 5$, \[\frac{x^2 + 10x +25 }{x^2 – 25 }=\]

A	$\displaystyle{\frac{ x + 5 } {x – 5 }} $
B	$\displaystyle{10x-1}$
C	$\displaystyle{\frac{ x – 5 } { x + 5 }}$
D	$\displaystyle{10x}$
E	$\displaystyle{-1}$

Question 9

Simplify: \[{\frac{\frac{ 1 } {x + 2} } { \frac{5}{y}}}\]

A	$\displaystyle{\frac{y}{5x+2}}$
B	$\displaystyle{\frac{5}{y(x+2)}}$
C	$\displaystyle{\frac{y}{5x+10}}$
D	$\displaystyle{\frac{5x+10}{y}}$
E	$\displaystyle{\frac{x+2}{5y}}$

Question 10

Write an equation of a line that is perpendicular to $y = 2x + 7$ and passes through the origin.

A	$\displaystyle{y = -\frac{1}{2} x + 7}$
B	$\displaystyle{y = -\frac{1}{2} x}$
C	$\displaystyle{y=2x}$
D	$\displaystyle{y=2x+7}$
E	$\displaystyle{y = -\frac{1}{2} }$

Question 11

Simplify: \[\sqrt{50 x^3 y^4}\]

A	$\displaystyle{5 x y^2 \sqrt{2x}}$
B	$\displaystyle{y^2 \sqrt{ 50 x^3}}$
C	$\displaystyle{25 x y^2 \sqrt{ x}}$
D	$\displaystyle{5xy \sqrt{ 2x y^2}}$
E	$\displaystyle{x^2 y^4 \sqrt{ 50x}}$

Question 12

If $a = -2$ and $b = 3$, evaluate $4 a^3 – ab$

A	$\displaystyle{38}$
B	$\displaystyle{-38}$
C	$\displaystyle{-18}$
D	$\displaystyle{-26}$
E	$\displaystyle{26}$

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A	\(\displaystyle{\frac{1}{4}}\)
B	\(\displaystyle{\frac{1}{5}}\)
C	\(\displaystyle{\frac{1}{6}}\)
D	\(\displaystyle{\frac{1}{2}}\)
E	\(\displaystyle{\frac{5}{6}}\)

A	\(\displaystyle{4x^2–9}\)
B	\(\displaystyle{4x^2–12x+9}\)
C	\(\displaystyle{8x–12}\)
D	\(\displaystyle{4x^ 2–12x–9}\)
E	\(\displaystyle{4x^2+12x+9}\)

A	\(\displaystyle{2\frac{1}{2}}\)
B	\(\displaystyle{\frac{3}{4}}\)
C	\(\displaystyle{6\frac{1}{2}}\)
D	\(\displaystyle{1\frac{1}{4}}\)
E	\(\displaystyle{\frac{2}{13}}\)

A	\(\displaystyle{0.00342}\)
B	\(\displaystyle{3,420}\)
C	\(\displaystyle{0.000342}\)
D	\(\displaystyle{342}\)
E	\(\displaystyle{0.342}\)

A	\(\displaystyle{-9}\)
B	\(\displaystyle{-3}\)
C	\(\displaystyle{11}\)
D	\(\displaystyle{-1}\)
E	\(\displaystyle{-5}\)

A	\(\displaystyle{\frac{ x + 5 } {x – 5 }} \)
B	\(\displaystyle{10x-1}\)
C	\(\displaystyle{\frac{ x – 5 } { x + 5 }}\)
D	\(\displaystyle{10x}\)
E	\(\displaystyle{-1}\)

A	\(\displaystyle{\frac{y}{5x+2}}\)
B	\(\displaystyle{\frac{5}{y(x+2)}}\)
C	\(\displaystyle{\frac{y}{5x+10}}\)
D	\(\displaystyle{\frac{5x+10}{y}}\)
E	\(\displaystyle{\frac{x+2}{5y}}\)

A	\(\displaystyle{y = -\frac{1}{2} x + 7}\)
B	\(\displaystyle{y = -\frac{1}{2} x}\)
C	\(\displaystyle{y=2x}\)
D	\(\displaystyle{y=2x+7}\)
E	\(\displaystyle{y = -\frac{1}{2} }\)

A	\(\displaystyle{5 x y^2 \sqrt{2x}}\)
B	\(\displaystyle{y^2 \sqrt{ 50 x^3}}\)
C	\(\displaystyle{25 x y^2 \sqrt{ x}}\)
D	\(\displaystyle{5xy \sqrt{ 2x y^2}}\)
E	\(\displaystyle{x^2 y^4 \sqrt{ 50x}}\)

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