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SAT Prep

College Board

SAT Practice Test # 6

Educators

MS

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
$\left(2 x^{2}-4\right)-\left(-3 x^{2}+2 x-7\right) ?$
$$\begin{array}{l}{\text { A) } 5 x^{2}-2 x+3} \\ {\text { B) } 5 x^{2}+2 x-3} \\ {\text { C) }-x^{2}-2 x-11} \\ {\text { D) }-x^{2}+2 x-11}\end{array}$$

MS
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
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