Question 1

An initial population of 5,000 people grows at a 5% rate per year.  What function shows the final population after x years?

Accepted Answer

$P(x)=5,000(1.05)^x$

Answer

$P(x)=5,000(5)^x$

Answer

$P(x)=5,000(.05)^x$

Answer

$P(x)=5,000(.05)x$

Question 2

What is $log_{6}216=3$ in exponential form?

Accepted Answer

$6^3=216$

Answer

$6^{216}=3$

Answer

$3^6=216$

Answer

$216^3=6$

Question 3

What is $5^{3x}=26$?

Accepted Answer

$\dfrac{log_{5}26}{3}$

Answer

$26/15$

Answer

$log_{5}26$

Answer

$\dfrac{log_{3}5}{26}$

Question 4

How are $y=5^x$ and $y=log_5x$ related?

Accepted Answer

They are inverse functions.

Answer

They are both exponential.

Answer

They are equivalent functions.

Answer

One is the condensed log of the other.

Question 5

A math teacher in Hawaii wants to know if students do more homework if it is assigned and submitted online as opposed to a worksheet.  She gives three of her classes the worksheet as usual.  To the other three, she assigns online homework and records how many students from each group did their homework.  What data gathering technique is this?

Accepted Answer

Experiment

Answer

Observational Study

Answer

Randomized Survey

Answer

Voluntary survey

Question 6

Simplify $log_5625$.

Accepted Answer

4

Answer

125

Answer

3

Answer

25

Question 7

What is $sin(120^{\circ})$?

Accepted Answer

$\sqrt{3}/2$

Answer

$2\pi/3$

Answer

$-1/2$

Answer

$1/2$

Question 8

What equation shows Jan investing $400$ at a $6%$ interest rate, for 20 years if the account is compounding continuously?

Accepted Answer

$A=400e^{.06*20}$

Answer

$A=400(.06)^{20}$

Answer

$A=400(1.06)^{20}$

Answer

$A=400(1+e)^{.06*20}$

Question 9

Find the inverse function for $f(x)=\sqrt{\frac{6}{x}-5}$.

Accepted Answer

$f^{-1}(x)=\dfrac{6}{x^2+5}$

Answer

$f^{-1}(x)=(\dfrac{x}{6}+5)^2$

Answer

$f^{-1}(x)=\dfrac{x}{6}+5$

Answer

$f^{-1}(x)=(\dfrac{x}{6})^2+5$

Question 10

In a right triangle, side a is opposite from $	heta$, side b is adjacent to $	heta$, and side c is a measure equivalent to $\sqrt{a^2+b^2}$.  What is the ratio of $cos	heta$?

Accepted Answer

$\dfrac{b}{c}$

Answer

$\dfrac{a}{b}$

Answer

$\dfrac{b}{a}$

Answer

$\dfrac{a}{c}$

Question 11

*Calculator Active* How many ways can Arya select 6 teammates out of 20?

Accepted Answer

38760

Answer

6/20

Answer

120

Answer

27907200

Question 12

Sansa conducted a survey to see if people prefer to vacation in Winterfell or Kings Landing.  The results showed that 59% of her friends preferred Winterfell, and 41% preferred Kings Landing.   The survey had a margin of error of $+/-6%$.  What is the range of people who prefer to vacation in Kings Landing?

Accepted Answer

$35% to 47%$

Answer

$53% to 65%$

Answer

$41% to 59%$

Answer

$50%%

Question 13

Jon Snow is adding a curved edge to a map.  The curve is an arc of a circle with a diameter of 20 yards, which will be represented by 20 cm on the map.  The central angle that intercepts the curve measures $\pi/6$ radians.  Find the length of the  curve in terms of $\pi$.

Accepted Answer

$\dfrac{5\pi}{3}$ cm

Answer

$\dfrac{10\pi}{3}$ yards

Answer

$\dfrac{20\pi}{6}$ cm

Answer

$120 \pi$

Question 14

Let $f(x)=x^2$ and $g(x)=3x$.  Find $f(g(2)$.

Accepted Answer

36

Answer

6

Answer

4

Answer

12

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