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SAT Prep

College Board

SAT Practice Test # 7

Educators


Problem 21

Which additional information, if presented in
figure $2,$ would be most useful in evaluating the
statement in lines $57-60$ ("Productivity... jobs")?
\begin{equation}
\begin{array}{l}{\text { A) The median income of employees as it compares }} \\ {\text { across all three countries in a single year }} \\ {\text { B) The number of people employed in factories }} \\ {\text { from } 1960 \text { to } 2011}\\{\text { C) The types of organizations at which output of }} \\ {\text { employed persons was measured }} \\ {\text { D) The kinds of manufacturing tasks most }} \\ {\text { frequently taken over by machines }}\end{array}
\end{equation}

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Problem 22

A survey was given to residents of all 50 states asking
if they had earned a bachelor's degree or higher.
The results from 7 of the states are given in the table
above. The median percent of residents who earned a bachelor's degree or higher for all 50 states was
26.95$\%$ . What is the difference between the median
percent of residents who earned a bachelor's degree
or higher for these 7 states and the median for all
50 states?
\begin{equation}
\begin{array}{l}{\text { A) } 0.05 \%} \\ {\text { B) } 0.95 \%} \\ {\text { C) } 1.22 \%} \\ {\text { D) } 7.45 \%}\end{array}
\end{equation}

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Math Test - Calculator - Problem 1

Feeding Information for Boarded Pets
$$\begin{array}{|c|c|c|c|}\hline & {\text { Fed only }} & {\text { Fed both wet }} & {\text { Total }} \\ \hline \text { dry food } & {\text { and dry food }} & {\text { food }} & {\text { Total }} \\ \hline \text { Cats } & {5} & {11} & {16} \\ \hline \text { Dogs } & {2} & {23} & {25} \\ \hline \text { Total } & {7} & {34} & {41} \\ \hline\end{array}$$
The table above shows the kinds of foods that are fed
to the cats and dogs currently boarded at a pet care
facility. What fraction of the dogs are fed only
dry food?
\begin{equation}
\begin{array}{l}{\text { A) } \frac{2}{41}} \\ {\text { B) } \frac{2}{25}} \\ {\text { C) } \frac{7}{41}} \\ {\text { D) } \frac{2}{7}}\end{array}
\end{equation}

Lily A.
Numerade Educator

Math Test - Calculator - Problem 2

$$\left(x^{2}-3\right)-\left(-3 x^{2}+5\right)$$
Which of the following expressions is equivalent to the one above?
\begin{equation}
\begin{array}{l}{\text { A) } 4 x^{2}-8} \\ {\text { B) } 4 x^{2}-2} \\ {\text { C) }-2 x^{2}-8} \\ {\text { D) }-2 x^{2}-2}\end{array}
\end{equation}

Lily A.
Numerade Educator

Math Test - Calculator - Problem 3

A certain package requires 3 centimeters of tape to be
closed securely. What is the maximum number of
packages of this type that can be secured with
6 meters of tape? (1 meter $=100 \mathrm{cm} )$
\begin{equation}
\begin{array}{l}{\text { A) } 100} \\ {\text { B) } 150} \\ {\text { C) } 200} \\ {\text { D) } 300}\end{array}
\end{equation}

Lily A.
Numerade Educator

Math Test - Calculator - Problem 4

A market researcher selected 200 people at random
from a group of people who indicated that they liked
a certain book. The 200 people were shown a movie based on the book and then asked whether they liked
or disliked the movie. Of those surveyed, 95$\%$ said
they disliked the movie. Which of the following
inferences can appropriately be drawn from this
survey result?
\begin{equation}
\begin{array}{l}{\text { A) At least } 95 \% \text { of people who go see movies will }} \\ {\text { dislike this movie. }} \\ {\text { B) At least } 95 \% \text { of people who read books will }} \\ {\text { dislike this movie. }}\end{array}
\end{equation}
\begin{equation}
\begin{array}{l}{\text { C) Most people who dislike this book will like }} \\ {\text { this movie. }} \\ {\text { D) Most people who like this book will dislike }} \\ {\text { this movie. }}\end{array}
\end{equation}

Lily A.
Numerade Educator

Math Test - Calculator - Problem 5

Which of the following ordered pairs $(x, y)$ satisfies
the inequality $5 x-3 y<4$ ?
\begin{equation}
\begin{array}{c}{\text { I. }(1,1)} \\ {\text { II. }(2,5)} \\ {\text { III. }(3,2)}\end{array}
\end{equation}
\begin{equation}
\begin{array}{l}{\text { A) I only }} \\ {\text { B) II only }} \\ {\text { C) I and II only }} \\ {\text { D) I and III only }}\end{array}
\end{equation}

Lily A.
Numerade Educator

Math Test - Calculator - Problem 6

In the equation $(a x+3)^{2}=36, a$ is a constant. If
$x=-3$ is one solution to the equation, what is a
possible value of $a$ ?
\begin{equation}
\begin{aligned} \text { A) } &-11 \\ \text { B) } &-5 \\ \text { C) } &-1 \\ \text { D) } & 0 \end{aligned}
\end{equation}

Lily A.
Numerade Educator

Math Test - Calculator - Problem 7

According to the scatterplot, which of the following
statements is is tru e about the relationship between a
planetoid's average distance from the Sun and its
density?
\begin{equation}
\begin{array}{l}{\text { A) Planetoids that are more distant from the Sun }} \\ {\text { tend to have lesser densities. }} \\ {\text { B) Planetoids that are more distant from the Sun }} \\ {\text { tend to have greater densities. }}\end{array}
\end{equation}
\begin{equation}
\begin{array}{l}{\text { C) The density of a planetoid that is twice as far }} \\ {\text { from the Sun as another planetoid is half the }} \\ {\text { density of that other planetoid. }} \\ {\text { D) The distance from a planetoid to the Sun is }} \\ {\text { unrelated to its density. }}\end{array}
\end{equation}

Lily A.
Numerade Educator

Math Test - Calculator - Problem 8

An astronomer has discovered a new planetoid about
1.2 $\mathrm{AU}$ from the Sun. According to the line of best
fit, which of the following best approximates the
density of the planetoid, in grams per cubic
centimeter?
\begin{equation}
\begin{array}{l}{\text { A) } 3.6} \\ {\text { B) } 4.1} \\ {\text { C) } 4.6} \\ {\text { D) } 5.5}\end{array}
\end{equation}

Lily A.
Numerade Educator

Math Test - Calculator - Problem 9

$$9 a x+9 b-6=21$$
Based on the equation above, what is the value of $a x+b ?$
\begin{equation}
\begin{array}{l}{\text { A) } 3} \\ {\text { B) } 6} \\ {\text { C) } 8} \\ {\text { D) } 12}\end{array}
\end{equation}

Lily A.
Numerade Educator

Math Test - Calculator - Problem 10

Lani spent 15$\%$ of her 8 -hour workday in meetings.
How many minutes of her workday did she spend in
meetings?
\begin{equation}
\begin{array}{l}{\text { A) } 1.2} \\ {\text { B) } 15} \\ {\text { C) } 48} \\ {\text { D) } 72}\end{array}
\end{equation}

Lily A.
Numerade Educator

Math Test - Calculator - Problem 11

A software company is selling a new game in a
standard edition and a collector's edition. The box
for the standard edition has a volume of 20 cubic
inches, and the box for the collector's edition has a
volume of 30 cubic inches. The company receives an order for 75 copies of the game, and the total volume
of the order to be shipped is $1,870$ cubic inches.
Which of the following systems of equations can be
used to determine the number of standard edition
games, $s,$ and collector's edition games, $c,$ that were
ordered?
\begin{equation}
\begin{aligned} \text { A) } \quad & 75-s=c \\ 20 s+30 c &=1,870 \\ \text { B) } & 75-s=c \\ & 30 s+20 c=1,870 \end{aligned}
\end{equation}
\begin{equation}
\begin{array}{c}{\text { C) } \quad s-c=75} \\ {25(s+c)=1,870} \\ {\text { D) } \quad s-c=75} \\ {30 s+20 c=1,870}\end{array}
\end{equation}

Lily A.
Numerade Educator

Math Test - Calculator - Problem 12

A customer paid $\$ 53.00$ for a jacket after a 6 percent
sales tax was added. What was the price of the jacket
before the sales tax was added?
\begin{equation}
\begin{array}{l}{\text { A) } \$ 47.60} \\ {\text { B) } \$ 50.00} \\ {\text { C) } \$ 52.60} \\ {\text { D) } \$ 52.84}\end{array}
\end{equation}

Lily A.
Numerade Educator

Math Test - Calculator - Problem 13

Theresa ran on a treadmill for thirty minutes, and
her time and speed are shown on the graph above.
According to the graph, which of the following
statements is NOT true concerning Theresa's run?
\begin{equation}
\begin{array}{l}{\text { A) Theresa ran at a constant speed for five minutes. }} \\ {\text { B) Theresa's speed was increasing for a longer }} \\ {\text { period of time than it was decreasing. }}\end{array}
\end{equation}
\begin{equation}
\begin{array}{l}{\text { C) Theresa's speed decreased at a constant rate }} \\ {\text { during the last five minutes. }} \\ {\text { D) Theresa's speed reached its maximum during the }} \\ {\text { last ten minutes. }}\end{array}
\end{equation}

Lily A.
Numerade Educator

Math Test - Calculator - Problem 14

In the figure above, what is the value of $x ?$
\begin{equation}
\begin{array}{l}{\text { A) } 45} \\ {\text { B) } 90} \\ {\text { C) } 100} \\ {\text { D) } 105}\end{array}
\end{equation}

Lily A.
Numerade Educator

Math Test - Calculator - Problem 15

If 50 one-cent coins were stacked on top of
each other in a column, the column would be
approximately 3$\frac{7}{8}$ inches tall. At this rate, which of
the following is closest to the number of one-cent
coins it would take to make an 8 -inch-tall column?
\begin{equation}
\begin{array}{cc}{\text { A) }} & {75} \\ {\text { B) }} & {100} \\ {\text { C) }} & {200} \\ {\text { D) }} & {390}\end{array}
\end{equation}

Lily A.
Numerade Educator

Math Test - Calculator - Problem 16

If $a-b=12$ and $\frac{b}{2}=10,$ what is the value of $a+b ?$
\begin{equation}
\begin{array}{l}{\text { A) } 2} \\ {\text { B) } 12} \\ {\text { C) } 32} \\ {\text { D) } 52}\end{array}
\end{equation}

Lily A.
Numerade Educator

Math Test - Calculator - Problem 17

$$y=19.99+1.50 x$$
The equation above models the total cost $y,$ in
dollars, that a company charges a customer to rent a
truck for one day and drive the truck $x$ miles. The
total cost consists of a flat fee plus a charge per mile driven. When the equation is graphed in the
$x y$ -plane, what does the $y$ -intercept of the graph
represent in terms of the model?
\begin{equation}
\begin{array}{l}{\text { A) } \text { A flat fee of } \$ 19.99} \\ {\text { B) } \text { A charge per mile of } \$ 1.50} \\ {\text { C) A charge per mile of } \$ 19.99} \\ {\text { D) Total daily charges of } \$ 21.49}\end{array}
\end{equation}

Lily A.
Numerade Educator

Math Test - Calculator - Problem 18

The scatterplot above shows data for ten charities
along with the line of best fit. For the charity with the
greatest percent of total expenses spent on programs,
which of the following is closest to the difference of
the actual percent and the percent predicted by the
line of best fit?
\begin{equation}
\begin{array}{l}{\text { A) } 10 \%} \\ {\text { B) } 7 \%} \\ {\text { C) } 4 \%} \\ {\text { D) } 1 \%}\end{array}
\end{equation}

Lily A.
Numerade Educator

Math Test - Calculator - Problem 19

Based on Current's formula, what is $w$ in terms of $A ?$
\begin{equation}
\begin{array}{l}{\text { A) } w=30 A-4} \\ {\text { B) } w=30 A+4} \\ {\text { C) } w=30(A-4)} \\ {\text { D) } w=30(A+4)}\end{array}
\end{equation}

Lily A.
Numerade Educator

Math Test - Calculator - Problem 20

If Mosteller's and Current's formulas give the same
estimate for $A$ , which of the following expressions is
equivalent to $\sqrt{h w} ?$
\begin{equation}
\begin{array}{l}{\text { A) } \frac{4+w}{2}} \\ {\text { B) } \frac{4+w}{1,800}} \\ {\text { C) } 2(4+w)} \\ {\text { D) } \frac{(4+w)^{2}}{2}}\end{array}
\end{equation}

Lily A.
Numerade Educator

Math Test - Calculator - Problem 21

The scatterplot above shows the numbers of grams of
both total protein and total fat for eight sandwiches
on a restaurant menu. The line of best fit for the data is also shown. According to the line of best fit, which
of the following is closest to the predicted increase in
total fat, in grams, for every increase of 1 gram in
total protein?
\begin{equation}
\begin{array}{l}{\text { A) } 2.5} \\ {\text { B) } 2.0} \\ {\text { C) } 1.5} \\ {\text { D) } 1.0}\end{array}
\end{equation}

Lily A.
Numerade Educator

Math Test - Calculator - Problem 22

A survey was given to residents of all 50 states asking
if they had earned a bachelor's degree or higher.
The results from 7 of the states are given in the table
above. The median percent of residents who earned a bachelor's degree or higher for all 50 states was
26.95$\%$ . What is the difference between the median
percent of residents who earned a bachelor's degree
or higher for these 7 states and the median for all
50 states?
\begin{equation}
\begin{array}{l}{\text { A) } 0.05 \%} \\ {\text { B) } 0.95 \%} \\ {\text { C) } 1.22 \%} \\ {\text { D) } 7.45 \%}\end{array}
\end{equation}

Lily A.
Numerade Educator

Math Test - Calculator - Problem 23

A cylindrical can containing pieces of fruit is filled to
the top with syrup before being sealed. The base of
the can has an area of $75 \mathrm{cm}^{2},$ and the height of the can is 10 $\mathrm{cm} .$ If 110 $\mathrm{cm}^{3}$ of syrup is needed to fill the
can to the top, which of the following is closest to the
total volume of the pieces of fruit in the can?
\begin{equation}
\begin{array}{c}{\text { A) } 7.5 \mathrm{cm}^{3}} \\ {\text { B) } 185 \mathrm{cm}^{3}} \\ {\text { C) } 640 \mathrm{cm}^{3}} \\ {\text { D) } 750 \mathrm{cm}^{3}}\end{array}
\end{equation}

Lily A.
Numerade Educator
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