Number of Adults Contracting Colds

$$

\begin{array}{|c|c|c|c|}\hline & {~ C o l d ~} & {\text { No cold }} & {\text { Total }} \\ \hline \text { Vitamin C } & {21} & {129} & {150} \\ \hline \text { Sugarpill } & {33} & {117} & {150} \\ \hline \text { Total } & {54} & {246} & {300} \\ \hline\end{array}

$$

The table shows the results of a research study that

investigated the therapeutic value of vitamin $C$ in

preventing colds. A random sample of 300 adults

received either a vitamin C pill or a sugar pill each

day during a 2 -week period, and the adults reported

whether they contracted a cold during that time

period. What proportion of adults who received a

sugar pill reported contracting a cold?

$$

\begin{array}{l}{\text { A) } \frac{11}{18}} \\ {\text { B) } \frac{11}{50}} \\ {\text { C) } \frac{9}{50}} \\ {\text { D) } \frac{11}{100}}\end{array}

$$

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One pound of grapes costs $\$ 2 .$ At this rate, how many

dollars will $c$ pounds of grapes cost?

A) 2$c$

B) $2+c$

C) $\frac{2}{c}$

D) $\frac{c}{2}$

Lily A.

Numerade Educator

Tracy collects, sells, and trades figurines, and she

tracks the number of figurines in her collection on

the graph below.

On what interval did the number of figurines

decrease the fastest?

A) Between 1 and 2 months

B) Between 2 and 3 months

C) Between 3 and 4 months

D) Between 4 and 5 months

Lily A.

Numerade Educator

In a random sample of 200 cars of a particular model,

3 have a manufacturing defect. At this rate, how

many of $10,000$ cars of the same model will have a

manufacturing defect?

A) 150

B) 200

C) 250

D) 300

Lily A.

Numerade Educator

The scatterplot above shows data collected on the

lengths and widths of Iris setosa petals. A line of best

fit for the data is also shown. Based on the line of best

fit, if the width of an Iris setosa petal is

19 millimeters, what is the predicted length, in

millimeters, of the petal?

A) 21.10

B) 31.73

C) 52.83

D) 55.27

Lily A.

Numerade Educator

In the figure above, lines $\ell$ and $m$ are parallel,

$y=20,$ and $z=60 .$ What is the value of $x ?$

A) 120

B) 100

C) 90

D) 80

Lily A.

Numerade Educator

Two types of tickets were sold for a concert held at

an amphitheater. Tickets to sit on a bench during the

concert cost $\$ 75$ each, and tickets to sit on the lawn

during the concert cost $\$ 40$ each. Organizers of the

concert announced that 350 tickets had been sold

and that $\$ 19,250$ had been raised through ticket sales

alone. Which of the following systems of equations

could be used to find the number of tickets for bench

seats, $B$ , and the number of tickets for lawn seats, $L$

that were sold for the concert?

$$

\begin{array}{l}{\text { A) }(75 B)(40 L)=1,950} \\ \quad {B+L=350} \\ {\text { B) } 40 B+75 L=19,250} \\ \quad {B+L=350} \\ {\text { C) } 75 B+40 L=350} \\ \quad {B+L=19,250} \\ {\text { D) } 75 B+40 L=19,250} \\ \quad {B+L=350} \end{array}

$$

Lily A.

Numerade Educator

In the $x y$ -plane, the graph of which of the following

equations is a line with a slope of 3$?$

$$

\begin{array}{l}{\text { A) } y=\frac{1}{3} x} \\ {\text { B) } y=x-3} \\ {\text { C) } y=3 x+2} \\ {\text { D) } y=6 x+3}\end{array}

$$

Lily A.

Numerade Educator

$$

x+1=\frac{2}{x+1}

$$

In the equation above, which of the following is a

possible value of $x+1 ?$

$$

\begin{array}{l}{\text { A) } 1-\sqrt{2}} \\ {\text { B) } \sqrt{2}} \\ {\text { C) } 2} \\ {\text { D) } 4}\end{array}

$$

Lily A.

Numerade Educator

What is the value of $k,$ in centimeters?

$$

\begin{array}{l}{\text { A) } 2.52} \\ {\text { B) } 7.67} \\ {\text { C) } 7.79} \\ {\text { D) } 10.11}\end{array}

$$

Lily A.

Numerade Educator

Water pours into the glass slowly and at a constant

rate. Which of the following graphs best illustrates

the height of the water level in the glass as it fills?

Lily A.

Numerade Educator

Jenny has a pitcher that contains 1 gallon of water.

How many times could Jenny completely fill the glass

with 1 gallon of water? $(1$ gallon $=128$ fluid ounces $)$

$$

\begin{array}{l}{\text { A) } 16} \\ {\text { B) } 8} \\ {\text { C) } 4} \\ {\text { D) } 3}\end{array}

$$

Lily A.

Numerade Educator

Roberto is an insurance agent who sells two types of

policies: a $\$ 50,000$ policy and a $\$ 100,000$ policy. Last

month, his goal was to sell at least 57 insurance

policies. While he did not meet his goal, the total

value of the policies he sold was over $\$ 3,000,000$ .

Which of the following systems of inequalities

describes $x$ , the possible number of $\$ 50,000$ policies,

and $y$ , the possible number of $\$ 100,000$ policies, that

Roberto sold last month?

$$

\begin{array}{l}{\text { A) } x+y<57} \\ \quad {50,000 x+100,000 y<3,000,000} \\ {\text { B) } x+y>57} \\ \quad {50,000 x+100,000 y>3,000,000} \\ {\text { C) } x+y<57} \\ \quad {50,000 x+100,000 y>3,000,000} \\ {\text { D) } x+y>57} \\ \quad {50,000 x+100,000 y<3,000,000}\end{array}

$$

Lily A.

Numerade Educator

If $a^{-\frac{1}{2}}=x,$ where $a>0,$ what is $a$ in terms of $x ?$

$$

\begin{array}{l}{\text { A) } \sqrt{x}} \\ {\text { B) }-\sqrt{x}} \\ {\text { C) } \frac{1}{x^{2}}} \\ {\text { D) }-\frac{1}{x^{2}}}\end{array}

$$

Lily A.

Numerade Educator

Which of the following is a value of $x$ for which the

expression $\frac{-3}{x^{2}+3 x-10}$ is undefined?

$$

\begin{array}{l}{\text { A) }-3} \\ {\text { B) }-2} \\ {\text { C) } 0} \\ {\text { D) } 2}\end{array}

$$

Lily A.

Numerade Educator

A granite block in the shape of a right rectangular

prism has dimensions 30 centimeters by

40 centimeters by 50 centimeters. The block has a

density of 2.8 grams per cubic centimeter. What is

the mass of the block, in grams? (Density is mass

per unit volume.)

$$

\begin{aligned} \text { A) } & 336 \\ \text { B) } & 3,360 \\ \text { C) } & 16,800 \\ \text { D) } & 168,000 \end{aligned}

$$

Lily A.

Numerade Educator

Ages of 20 Students Enrolled

in a College Class

$$

\begin{array}{|c|c|}\hline \text { Age } & {\text { Frequency }} \\ \hline 18 & {6} \\ \hline 19 & {5} \\ \hline 20 & {4} \\ \hline 21 & {2} \\ \hline 22 & {1} \\ \hline 23 & {1} \\ \hline 30 & {1} \\ \hline\end{array}

$$

The table above shows the distribution of ages of the

20 students enrolled in a college class. Which of the

following gives the correct order of the mean,

median, and mode of the ages?

A) mode $<$ median $<$ mean

B) mode $<$ mean $<$ median

C) median $<$ mode $<$ mean

D) mean $<$ mode $<$ median

Lily A.

Numerade Educator

The figure below shows the relationship between the

percent of leaf litter mass remaining after

decomposing for 3 years and the mean annual

temperature, in degrees Celsius $\left(^{\circ} \mathrm{C}\right),$ in 18 forests in

Canada. A line of best fit is also shown.

A particular forest in Canada, whose data is not

included in the figure, had a mean annual

temperature of $-2^{\circ} \mathrm{C}$ . Based on the line of best fit,

which of the following is closest to the predicted

percent of leaf litter mass remaining in this particular

forest after decomposing for 3 years?

$$

\begin{array}{l}{\text { A) } 50 \%} \\ {\text { B) } 63 \%} \\ {\text { C) } 70 \%} \\ {\text { D) } 82 \%}\end{array}

$$

Lily A.

Numerade Educator

The range of the polynomial function $f$ is the set of

real numbers less than or equal to $4 .$ If the zeros of $f$

are $-3$ and $1,$ which of the following could be the

graph of $y=f(x)$ in the $x y$ -plane?

Lily A.

Numerade Educator

The average annual energy cost for a certain home is

$\$ 4,334 .$ The homeowner plans to spend $\$ 25,000$ to

install a geothermal heating system. The homeowner

estimates that the average annual energy cost will

then be $\$ 2,712 .$ Which of the following inequalities

can be solved to find $t,$ the number of years after

installation at which the total amount of energy cost

savings will exceed the installation cost?

$$

\begin{array}{l}{\text { A) } 25,000>(4,334-2,712) t} \\ {\text { B) } 25,000<(4,334-2,712) t} \\ {\text { C) } 25,000-4,334>2,712 t} \\ {\text { D) } 25,000>\frac{4,332}{2,712} t}\end{array}

$$

Lily A.

Numerade Educator

Which of the following is the best interpretation of

the number 3.39 in the context of the problem?

A) The amount of plastic, in billions of pounds,

produced in the United States during the

year 1985

B) The number of years it took the United States to

produce 1 billion pounds of plastic

C) The average annual plastic production, in

billions of pounds, in the United States from

1985 to 2003

D) The average annual increase, in billions of

pounds, of plastic produced per year in the

United States from 1985 to 2003

Lily A.

Numerade Educator

Which of the following is closest to the percent

increase in the billions of pounds of plastic produced

in the United States from 2000 to 2003$?$

$$

\begin{array}{l}{\text { A) } 10 \%} \\ {\text { B) } 44 \%} \\ {\text { C) } 77 \%} \\ {\text { D) } 110 \%}\end{array}

$$

Lily A.

Numerade Educator

$$

M=1,800(1.02)^{t}

$$

The equation above models the number of

members, $M,$ of a gym $t$ years after the gym opens.

Of the following, which equation models the number

of members of the gym $q$ quarter years after the gym

opens?

$$

\begin{array}{l}{\text { A) } M=1,800(1.02)^{\frac{q}{4}}} \\ {\text { B) } M=1,800(1.02)^{4 q}} \\ {\text { C) } M=1,800(1.005)^{4 q}} \\ {\text { D) } M=1,800(1.082)^{q}}\end{array}

$$

Lily A.

Numerade Educator

For the finale of a TV show, viewers could use either

social media or a text message to vote for their

favorite of two contestants. The contestant receiving

more than 50$\%$ of the vote won. An estimated 10$\%$ of

the viewers voted, and 30$\%$ of the votes were cast on

social media. Contestant 2 earned 70$\%$ of the votes

cast using social media and 40$\%$ of the votes cast

using a text message. Based on this information,

which of the following is an accurate conclusion?

A) If all viewers had voted, Contestant 2 would

have won.

B) Viewers voting by social media were likely to be

younger than viewers voting by text message.

C) If all viewers who voted had voted by social

media instead of by text message, Contestant 2

would have won.

D) Viewers voting by social media were more likely

to prefer Contestant 2 than were viewers voting

by text message.

Lily A.

Numerade Educator

Population of Greenleaf, Idaho

$$

\begin{array}{|c|c|}\hline \text { Year } & {\text { Population }} \\ \hline 2000 & {862} \\ \hline 2010 & {846} \\ \hline\end{array}

$$

The table above shows the population of Greenleaf,

Idaho, for the years 2000 and $2010 .$ If the relationship

between population and year is linear, which of the

following functions $P$ models the population of

Greenleaf $t$ years after 2000$?$

$$

\begin{array}{l}{\text { A) } P(t)=862-1.6 t} \\ {\text { B) } P(t)=862-16 t} \\ {\text { C) } P(t)=862+16(t-2,000)} \\ {\text { D) } P(t)=862-1.6(t-2,000)}\end{array}

$$

Lily A.

Numerade Educator