Question 1

A table of values for the exponential function f is shown below. Which situation could describe this function?

Accepted Answer

The value of a house increases by approximately 2 $\frac{3}{4}$ % per year.

Answer

The value of a house decreases by $3,850 per year.

Answer

The value of a house increases by $3,850 per year.

Answer

The value of a house decreases by approximately 2$\frac{3}{4}$ % per year.

Question 2

A farmer uses a lever to move a large rock. The force required to move the rock varies inversely with the distance from the pivot point to the point the force is applied. A force of 50 pounds applied to the lever 36 inches from the pivot point of the lever will move the rock.
Which function models the relationship between F, the amount of force applied to the lever, and d, the distance of the applied force from the pivot point?

Accepted Answer

F = $\frac{1,800}{d}$

Answer

F = $\frac{d}{86}$

Answer

d = $\frac{F}{1,800}$

Answer

d = $\frac{86}{F}$

Question 3

If the value of y varies inversely with x, which function represents the relationship between x and y if y = 48 when x = 3?

Accepted Answer

y = $\frac{144}{x}$

Answer

y = $\frac{16}{x}$

Answer

y = $\frac{x}{144}$

Answer

y = $\frac{x}{16}$

Question 4

Which expression is equivalent to:

Accepted Answer

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Answer

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Answer

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Answer

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Question 5

A circle has a radius of 6x$^2$y$^5$ cm. The area of a  circle can be found using A = πr$^2$. What is the area of this circle in square centimeters?

Accepted Answer

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Answer

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Answer

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Answer

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Question 6

The area of a rectangle is 54x$^9$y$^8$ square yards. 
If the length of the rectangle is 6x$^3$y$^4$ yards, which expression represents the width of the rectangle in yards?

Accepted Answer

9x$^6$y$^4$

Answer

60x$^{12}$y$^{12}$

Answer

48x$^6$y$^4$

Answer

9x$^3$y$^2$

Question 7

The expression 
(x$^3$)(x$^{17}$) 
is equivalent to 
x$^n$. 
What is the value of n?

Accepted Answer

-14

Question 8

Which expression is equivalent to
(7x$^3$)(x$^8$)$^\frac{1}{2}$?

Accepted Answer

49x$^{10}$

Answer

14x$^{10}$

Answer

14x$^7$

Answer

49x$^7$

Question 9

Which expression is equivalent to $(144 k^2 r^{14})^\frac{1}{2}$ for all positive values of $k$ and $r$?

Accepted Answer

$12kr^7$

Answer

$12k^2r^{14}$

Answer

$72k^2r^{14}$

Answer

$144kr^7$

Question 10

Which expression is equivalent to $\frac{(q^4)^{-3}}{q^{-15}}$ for all values of $q$ where the expression is defined?

Accepted Answer

$q^{3}$

Answer

$\frac{1}{q^{3}}$

Answer

$q^{27}$

Answer

$\frac{1}{q^{27}}$

Question 11

Which expression is equivalent to $\frac {10q^5w^7}{2w^3} \cdot \frac {4(q^6)^2}{w^{-5}}$ for all values of $q$ and $w$ where the expression is defined?

Accepted Answer

$20q^{17}w^9$

Answer

$\frac {32q^7} {w}$

Answer

$20qw$

Answer

$32q^7w^9$

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