Question 1

Which equation represents the graph of $P(h)$?

Accepted Answer

$P(h)=4(2)^h$

Answer

$P(h)=\frac2{3}h^3-h^2+3h+4$

Answer

$P(h)=3h^2+0.2h+4.2$

Answer

$P(h)=\frac{46}{5}h+\frac6{5}$

Question 2

Jordan works for a landscape company during his summer vacation. He is paid $$\$12$$ per hour for mowing lawns and $$\$14$$ per hour for planting gardens. He can work a maximum of 40 hours per week, and would like to earn at least $$\$250$$ this week. If $m$ represents the number of hours mowing lawns and $g$ represents the number of hours planting gardens, which system of inequalities could be used to represent the given conditions?

Accepted Answer

$m+g\le40$
$12m+14g\ge250$

Answer

$m+g\ge40$
$12m+14g\le250$

Answer

$m+g\le40$
$12m+14g\le250$

Answer

$m+g\ge40$
$12m+14g\ge250$

Question 3

The formula for blood flow rate is given by $F=\frac{p_1-p_2}{r}$,  where $F$ is the flow rate,  $p_1$ the initial pressure, $p_2$  the final pressure, and $r$ the resistance created by blood vessel size. Which formula can $not$ be derived from the given formula?

Accepted Answer

$r=F(p_2-p_1)$

Answer

$p_1=F_r+p_2$

Answer

$p_2=p_1-F_r$

Answer

$r=\frac{p_1-p_2}{F}$

Question 4

Joy wants to buy strawberries and raspberries to bring to a party. Strawberries cost $$\$1.60$$ per pound and raspberries cost $$\$1.75$$ per
pound. If she only has $$\$10$$ to spend on berries, which inequality represents the situation where she buys $x$ pounds of strawberries and $y$ pounds of raspberries?

Accepted Answer

$1.60x+1.75y\le10$

Answer

$1.75x+1.60y\ge10$

Answer

$1.60x+1.75y\ge10$

Answer

$1.75x+1.60y\le10$

Question 5

Students were asked to write a formula for the length of a rectangle by using the formula for its perimeter, $p=2\ell+2w$. Three of their  responses are shown below.

I. $\ell=\frac{1}{2}p-w$
II. $\ell=\frac{1}{2}(p-2w)$
III. $\ell=\frac{p-2w}{2}$

Which responses are correct?

Accepted Answer

I, II, and III

Answer

I and II, only

Answer

II and III, only

Answer

I and III, only

Question 6

The math department needs to buy new textbooks and laptops for the computer science classroom. The textbooks cost $$$116.00$$ each, and the laptops cost $$$439.00$$ each. If the math department has $$$6500$$ to spend and purchases 30 textbooks, how many laptops can they buy?

Accepted Answer

6

Answer

12

Answer

7

Answer

11

Question 7

The formula for electrical power, $P$, is $P=I^2R,$  where $I$ is current and $R$ is resistance. The formula for $I$ in terms of $P$ and $R$ is

Accepted Answer

$I=\sqrt \frac{P}R$

Answer

$I=(P-R)^2$

Answer

$I=(\frac{P}R)^2$

Answer

$I=\sqrt {P-R}$

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