Problem 51

According to figure $1,$ in $2017,$ the cost of which of

the following fuels is projected to be closest to the

2009 US average electricity cost shown in figure 2$?$

A) Natural gas

B) Wind (onshore)

C) Conventional coal

D) Advanced nuclear

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Math Test - Calculator - Problem 1

Which expression is equivalent to

$\left(2 x^{2}-4\right)-\left(-3 x^{2}+2 x-7\right) ?$

$$\begin{array}{l}{\text { A) } 5 x^{2}-2 x+3} \\ {\text { B) } 5 x^{2}+2 x-3} \\ {\text { C) }-x^{2}-2 x-11} \\ {\text { D) }-x^{2}+2 x-11}\end{array}$$

Mitali S.

Numerade Educator

Math Test - Calculator - Problem 2

The graph above shows the positions of Paul and

Mark during a race. Paul and Mark each ran at a

constant rate, and Mark was given a head start to

shorten the distance he needed to run. Paul finished

the race in 6 seconds, and Mark finished the race in

10 seconds. According to the graph, Mark was given

a head start of how many yards?

$$\begin{array}{l}{\text { A) } 3} \\ {\text { B) } 12} \\ {\text { C) } 18} \\ {\text { D) } 24}\end{array}$$

Lily A.

Numerade Educator

Math Test - Calculator - Problem 3

Snow fell and then stopped for a time. When the

snow began to fall again, it fell at a faster rate than it

had initially. Assuming that none of the snow melted

during the time indicated, which of the following

graphs could model the total accumulation of snow

versus time?

Lily A.

Numerade Educator

Math Test - Calculator - Problem 4

A website-hosting service charges businesses a

onetime setup fee of $\$ 350$ plus $d$ dollars for each

month. If a business owner paid $\$ 1,010$ for the first

12 months, including the setup fee, what is the

value of $d$ ?

$$\begin{array}{l}{\text { A) } 25} \\ {\text { B) } 35} \\ {\text { C) } 45} \\ {\text { D) } 55}\end{array}$$

Lily A.

Numerade Educator

Math Test - Calculator - Problem 5

$$6 x-9 y>12$$

Which of the following inequalities is equivalent to

the inequality above?

$$\begin{array}{l}{\text { A) } x-y>2} \\ {\text { B) } 2 x-3 y>4} \\ {\text { C) } 3 x-2 y>4} \\ {\text { D) } 3 y-2 x>2}\end{array}$$

Lily A.

Numerade Educator

Math Test - Calculator - Problem 6

Where Do People Get Most of

Their Medical Information?

$$\begin{array}{|c|c|}\hline {\text { Source }} & {\text { Percent of }} \\ & {\text { those surveyed }} \\ \hline \text { Doctor } & {63 \%} \\ \hline \text { Internet } & {13 \%} \\ \hline \text { Magazines/brochures } & {9 \%} \\ \hline \text { Pharmacy } & {6 \%} \\ \hline \text { Television } & {2 \%} \\ \hline \text { Other/none of the above } & {7 \%} \\ \hline\end{array}$$

The table above shows a summary of $1,200$ responses

to a survey question. Based on the table, how many

of those surveyed get most of their medical

information from either a doctor or the Internet?

$$\begin{array}{l}{\text { A) } 865} \\ {\text { B) } 887} \\ {\text { C) } 912} \\ {\text { D) } 926}\end{array}$$

Lily A.

Numerade Educator

Math Test - Calculator - Problem 7

The members of a city council wanted to assess the

opinions of all city residents about converting an

open field into a dog park. The council surveyed a

sample of 500 city residents who own dogs. The

survey showed that the majority of those sampled

were in favor of the dog park. Which of the

following is true about the city council's survey?

A) It shows that the majority of city residents are in

favor of the dog park.

B) The survey sample should have included more

residents who are dog owners.

C) The survey sample should have consisted

D) The survey sample is biased because it is not

representative of all city residents.

Lily A.

Numerade Educator

Math Test - Calculator - Problem 8

The table above shows the flavors of ice cream

and the toppings chosen by the people at a party.

Each person chose one flavor of ice cream and

one topping. Of the people who chose vanilla

ice cream, what fraction chose hot fudge as a

topping?

$$\begin{array}{l}{\text { A) } \frac{8}{25}} \\ {\text { B) } \frac{5}{13}} \\ {\text { C) } \frac{13}{25}} \\ {\text { D) } \frac{8}{13}}\end{array}$$

Lily A.

Numerade Educator

Math Test - Calculator - Problem 9

The total area of a coastal city is 92.1 square miles, of

which 11.3 square miles is water. If the city had a

population of $621,000$ people in the year $2010,$ which

of the following is closest to the population density,

in people per square mile of land area, of the city at

that time?

$$\begin{array}{ll}{\text { A) }} & {6,740} \\ {\text { B) }} & {7,690} \\ {\text { C) }} & {55,000} \\ {\text { D) }} & {76,000}\end{array}$$

Lily A.

Numerade Educator

Math Test - Calculator - Problem 10

Between 1497 and $1500,$ Amerigo Vespucci

embarked on two voyages to the New World.

According to Vespucci's letters, the first voyage

lasted 43 days longer than the second voyage, and the

two voyages combined lasted a total of $1,003$ days.

How many days did the second voyage last?

$$\begin{array}{l}{\text { A) } 460} \\ {\text { B) } 480} \\ {\text { C) } 520} \\ {\text { D) } 540}\end{array}$$

Lily A.

Numerade Educator

Math Test - Calculator - Problem 11

$$7 x+3 y=8$$

$$6 x-3 y=5$$

For the solution $(x, y)$ to the system of equations

above, what is the value of $x-y ?$

$$\begin{array}{l}{\text { A) }-\frac{4}{3}} \\ {\text { B) } \frac{2}{3}} \\ {\text { C) } \frac{4}{3}} \\ {\text { D) } \frac{22}{3}}\end{array}$$

Lily A.

Numerade Educator

Math Test - Calculator - Problem 12

Over which of the following time periods is the

average growth rate of the sunflower least?

$$\begin{array}{l}{\text { A) } \operatorname{Day} 0 \text { to Day } 21} \\ {\text { B) Day } 21 \text { to Day } 42} \\ {\text { C) Day } 42 \text { to Day } 63} \\ {\text { D) Day } 63 \text { to Day } 84}\end{array}$$

Lily A.

Numerade Educator

Math Test - Calculator - Problem 13

The function $h,$ defined by $h(t)=a t+b,$ where $a$

and $b$ are constants, models the height, in

centimeters, of the sunflower after $t$ days of growth

during a time period in which the growth is

approximately linear. What does a represent?

A) The predicted number of centimeters the

sunflower grows each day during the period

B) The predicted height, in centimeters, of the

sunflower at the beginning of the period

C) The predicted height, in centimeters, of the

sunflower at the end of the period

D) The predicted total increase in the height of the

sunflower, in centimeters, during the period

Lily A.

Numerade Educator

Math Test - Calculator - Problem 14

The growth rate of the sunflower from day 14 to day

35 is nearly constant. On this interval, which of the

following equations best models the height $h,$ in

centimeters, of the sunflower $t$ days after it begins

to grow?

$$\begin{array}{l}{\text { A) } h=2.1 t-15} \\ {\text { B) } h=4.5 t-27} \\ {\text { C) } h=6.8 t-12} \\ {\text { D) } h=13.2 t-18}\end{array}$$

Lily A.

Numerade Educator

Math Test - Calculator - Problem 15

$$\begin{array}{|c|c|c|c|c|c|}\hline x & {1} & {2} & {3} & {4} & {5} \\ \hline y & {\frac{11}{4}} & {\frac{25}{4}} & {\frac{39}{4}} & {\frac{53}{4}} & {\frac{67}{4}} \\ \hline\end{array}$$

Which of the following equations relates $y$ to $x$ for

the values in the table above?

$$\begin{array}{l}{\text { A) } y=\frac{1}{2} \cdot\left(\frac{5}{2}\right)^{x}} \\ {\text { B) } y=2 \cdot\left(\frac{3}{4}\right)^{x}} \\ {\text { C) } y=\frac{3}{4} x+2} \\ {\text { D) } y=\frac{7}{2} x-\frac{3}{4}}\end{array}$$

Lily A.

Numerade Educator

Math Test - Calculator - Problem 16

Triangles $A B C$ and $D E F$ are shown above. Which

of the following is equal to the ratio $\frac{B C}{A B} ?$

$$\begin{array}{l}{\text { A) } \frac{D E}{D F}} \\ {\text { B) } \frac{D F}{D E}} \\ {\text { C) } \frac{D F}{E F}} \\ {\text { D) } \frac{E F}{D E}}\end{array}$$

Lily A.

Numerade Educator

Math Test - Calculator - Problem 17

Which of the following expresses the riser height in

terms of the tread depth?

$$\begin{array}{l}{\text { A) } h=\frac{1}{2}(25+d)} \\ {\text { B) } h=\frac{1}{2}(25-d)} \\ {\text { C) } h=-\frac{1}{2}(25+d)} \\ {\text { D) } h=-\frac{1}{2}(25-d)}\end{array}$$

Lily A.

Numerade Educator

Math Test - Calculator - Problem 18

Some building codes require that, for indoor

stairways, the tread depth must be at least 9 inches

and the riser height must be at least 5 inches.

According to the riser-tread formula, which of the

following inequalities represents the set of all

possible values for the riser height that meets this

code requirement?

$$\begin{array}{l}{\text { A) } 0 \leq h \leq 5} \\ {\text { B) } h \geq 5} \\ {\text { C) } 5 \leq h \leq 8} \\ {\text { D) } 8 \leq h \leq 16}\end{array}$$

Lily A.

Numerade Educator

Math Test - Calculator - Problem 19

An architect wants to use the riser-tread formula to

design a stairway with a total rise of 9 feet, a riser

height between 7 and 8 inches, and an odd number

of steps. With the architect's constraints, which of

the following must be the tread depth, in inches, of

the stairway? ( 1 foot = 12 inches)

$$\begin{array}{l}{\text { A) } 7.2} \\ {\text { B) } 9.5} \\ {\text { C) } 10.6} \\ {\text { D) } 15}\end{array}$$

Lily A.

Numerade Educator

Math Test - Calculator - Problem 20

What is the sum of the solutions to

$(x-6)(x+0.7)=0 ?$

$$\begin{array}{l}{\text { A } )-6.7} \\ {\text { B) }-5.3} \\ {\text { C) } 5.3} \\ {\text { D) } 6.7}\end{array}$$

Lily A.

Numerade Educator

Math Test - Calculator - Problem 21

A study was done on the weights of different types of

fish in a pond. A random sample of fish were caught

and marked in order to ensure that none were

weighed more than once. The sample contained

150 largemouth bass, of which 30$\%$ contained more

than 2 pounds. Which of the following conclusions

is best supported by the sample data?

A) The majority of all fish in the pond weigh less

than 2 pounds.

B) The average weight of all fish in the pond is

approximately 2 pounds.

Lily A.

Numerade Educator

Math Test - Calculator - Problem 22

Number of States with 10 or More

Electoral Votes in 2008

In $2008,$ there were 21 states with 10 or more

electoral votes, as shown in the table above. Based on

the table, what was the median number of electoral

votes for the 21 states?

$$\begin{array}{l}{\text { A) } 13} \\ {\text { B) } 15} \\ {\text { C) } 17} \\ {\text { D) } 20}\end{array}$$

Lily A.

Numerade Educator

Math Test - Calculator - Problem 23

As part of an experiment, a ball was dropped and

allowed to bounce repeatedly off the ground until it

came to rest. The graph above represents the

relationship between the time elapsed after the ball

was dropped and the height of the ball above the

ground. After it was dropped, how many times was

the ball at a height of 2 feet?

$$\begin{array}{l}{\text { A) One }} \\ {\text { B) Two }} \\ {\text { C) Three }} \\ {\text { D) Four }}\end{array}$$

Lily A.

Numerade Educator

Math Test - Calculator - Problem 24

A customer's monthly water bill was $\$ 75.74 .$ Due to

a rate increase, her monthly bill is now $\$ 79.86$ . To

the nearest tenth of a percent, by what percent did

the amount of the customer's water bill increase?

$$\begin{array}{l}{\text { A) } 4.1 \%} \\ {\text { B) } 5.1 \%} \\ {\text { C) } 5.2 \%} \\ {\text { D) } 5.4 \%}\end{array}$$

Lily A.

Numerade Educator