Question 1

The rectangular prism has dimensions of $xy$, $x^2$, and $xy^3$ inches.  What expression represents the volume of the prism in cubic inches?  (V = Bh)

Accepted Answer

$x^4y^4$

Answer

$3x^4 2y^3$

Answer

$x^3y^4$

Answer

$3x^2 2y^3$

Question 2

Sally opens a lemonade stand and sells $2x$ cups of lemonade for $x$ number of days.  Each cup of lemonade sells for $y$ dollars.  Sally wants to donate all the money she made to a number of charities equaling $2y$.  What expression below represents the number of dollars Sally will donate to each charity?

Accepted Answer

$x^2$

Answer

$4x^2y^2$

Answer

$x^2y^2$

Answer

$2x^2  2y^2$

Question 3

A value of $2x^5yz^2$ is multiplied by $x^2y^2z^2$, then divided by $4x^7yz$.  What simplified expression represents the resulting value?

Accepted Answer

$\frac{(y^2 z^3)}2$

Answer

$\frac{(3x^3yz^3)}4$

Answer

$\frac{(x^3yz^3)}2$

Answer

$\frac{(3y^2z^4)}{(4x^3z^3)}$

Question 4

The diameter of the circle B is equal to the radius of circle A.  If the radius of circle B is $xy$, what is the area of circle A?  $A=\pi r^2$

Accepted Answer

$4\pi x^2y^2$

Answer

$2\pi x^2 y ^2$

Answer

$2\pi xy$

Answer

$4\pi xy$

Question 5

Which expression is equivalent to:  $\frac{(15a^4b^6c^-8)}{(10a^-2b^3c^-4)}$

Accepted Answer

$\frac{3a^6b^3}{2c^4}$

Answer

$5a^2 b$

Answer

$\frac{3a^2b^9c^12}{2}$

Answer

$5a^6b^3c^4$

Question 6

Which expression is equivalent to: $2(abc)^a$

Accepted Answer

$2a^ab^ac^a$

Answer

$2^a2a2b2c$

Answer

$2^aa^2b^2c^2$

Answer

$2^aa^ab^ac^a$

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