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SAT Prep

College Board

SAT Practice Test # 5

Educators

AW

Problem 11

$$-2 x+3 y=6$$
In the $x y$ -plane, the graph of which of the following
equations is perpendicular to the graph of the
equation above?
$$\begin{array}{l}{\text { A) } 3 x+2 y=6} \\ {\text { B) } 3 x+4 y=6} \\ {\text { C) } 2 x+4 y=6} \\ {\text { D) } 2 x+6 y=3}\end{array}$$

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Math Test - Calculator - Problem 1

According to the line graph above, between which
two consecutive years was there the greatest change
in the number of $3-\mathrm{D}$ movies released?
$$\begin{array}{l}{\text { A) } 2003-2004} \\ {\text { B) } 2008-2009} \\ {\text { C) } 2009-2010} \\ {\text { D) } 2010-2011}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 2

Some values of the linear function $f$ are shown in the
table above. Which of the following defines $f ?$
$$\begin{array}{l}{\text { A) } f(x)=2 x+3} \\ {\text { B) } f(x)=3 x+2} \\ {\text { C) } f(x)=4 x+1} \\ {\text { D) } f(x)=5 x}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 3

To make a bakery's signature chocolate muffins, a
baker needs 2.5 ounces of chocolate for each muffin.
How many pounds of chocolate are needed to make
48 signature chocolate muffins?
$(1$ pound $=16$ ounces $)$
$$\begin{array}{cc}{\text { A) }} & {7.5} \\ {\text { B) }} & {10} \\ {\text { C) }} & {50.5} \\ {\text { D) }} & {120}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 4

If $3(c+d)=5,$ what is the value of $c+d ?$
$$\begin{array}{l}{\text { A) } \frac{3}{5}} \\ {\text { B) } \frac{5}{3}} \\ {\text { C) } 3} \\ {\text { D) } 5}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 5

The weight of an object on Venus is approximately
$\frac{9}{10}$ of its weight on Earth. The weight of an object
on Jupiter is approximately $\frac{23}{10}$ of its weight on
Earth. If an object weighs 100 pounds on Earth,
approximately how many more pounds on Earth,
weigh on Jupiter than it weighs on Venus?
$$\begin{array}{l}{\text { A) } 90} \\ {\text { B) } 111} \\ {\text { C) } 140} \\ {\text { D) } 230}\end{array}$$

AW
Aaron W.
Numerade Educator

Math Test - Calculator - Problem 6

An online bookstore sells novels and magazines.
Each novel sells for $\$ 4,$ and each magazine sells for
$\$ 1 .$ If Sadie purchased a total of 11 novels and
magazines that have a combined selling price of $\$ 20,$
how many novels did she purchase?
$$\begin{array}{l}{\text { A) } 2} \\ {\text { B) } 3} \\ {\text { C) } 4} \\ {\text { D) } 5}\end{array}
$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 7

The Downtown Business Association (DBA) in a
certain city plans to increase its membership by a
total of $n$ businesses per year. There were
$b$ businesses in the DBA at the beginning of this
year. Which function best models the total number
of businesses, $y,$ the DBA plans to have as member
$x$ years from now?
$$\begin{array}{l}{\text { A) } y=n x+b} \\ {\text { B) } y=n x-b} \\ {\text { C) } y=b(n)^{x}} \\ {\text { D) } y=n(b)^{x}}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 8

Which of the following is an equivalent form of
$(1.5 x-2.4)^{2}-\left(5.2 x^{2}-6.4\right) ?$
$$\begin{array}{l}{\text { A) }-2.2 x^{2}+1.6} \\ {\text { B) }-2.2 x^{2}+11.2} \\ {\text { C) }-2.95 x^{2}-7.2 x+12.16} \\ {\text { D) }-2.95 x^{2}-7.2 x+0.64}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 9

In the 1908 Olympic Games, the Olympic marathon
was lengthened from 40 kilometers to approximately
42 kilometers. Of the following, which is closest to
the increase in the distance of the Olympic
marathon, in miles? (1 mile is approximately
1.6 kilometers.)
$$\begin{array}{ll}{\text { A) }} & {1.00} \\ {\text { B) }} & {1.25} \\ {\text { C) }} & {1.50} \\ {\text { D) }} & {1.75}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 10

The density $d$ of an object is found by dividing the
mass $m$ of the object by its volume $V .$ Which of
the following equations gives the mass $m$ in terms
of $d$ and $V ?$
$$\begin{array}{l}{\text { A) } m=d V} \\ {\text { B) } m=\frac{d}{V}} \\ {\text { C) } m=\frac{V}{d}} \\ {\text { D) } m=V+d}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 11

$$-2 x+3 y=6$$
In the $x y$ -plane, the graph of which of the following
equations is perpendicular to the graph of the
equation above?
$$\begin{array}{l}{\text { A) } 3 x+2 y=6} \\ {\text { B) } 3 x+4 y=6} \\ {\text { C) } 2 x+4 y=6} \\ {\text { D) } 2 x+6 y=3}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 12

$$\begin{array}{c}{\frac{1}{2} y=4} \\ {x-\frac{1}{2} y=2}\end{array}$$
The system of equations above has solution $(x, y) .$ What is the value of $x ?$
$$\begin{array}{c}{\text { A) } 3} \\ {\text { B) } \frac{7}{2}} \\ {\text { C) } 4} \\ {\text { D) } 6}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 13

$$\begin{array}{c}{y \leq 3 x+1} \\ {x-y>1}\end{array}$$
Which of the following ordered pairs $(x, y)$ satisfies
the system of inequalities above?
$$\begin{array}{l}{\text { A) }(-2,-1)} \\ {\text { B) }(-1,3)} \\ {\text { C) }(1,5)} \\ {\text { D) }(2,-1)}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 14

In a survey, 607 general surgeons and orthopedic
surgeons indicated their major professional activity.
The results are summarized in the table above. If one
of the surgeons is selected at random, which of the
following is closest to the probability that the selected
surgeon is an orthopedic surgeon whose indicated
professional activity is research?
$$\begin{array}{l}{\text { A) } 0.122} \\ {\text { B) } 0.196} \\ {\text { C) } 0.318} \\ {\text { D) } 0.379}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 15

A polling agency recently surveyed $1,000$ adults who
were selected at random from a large city and asked
each of the adults, "Are you satisfied with the quality
of air in the city?" Of those surveyed, 78 percent
responded that they were satisfied with the quality of
air in the city. Based on the results of the survey,
which of the following statements must be true?
$$\begin{array}{l}{\text { I. Of all adults in the city, } 78 \text { percent are }} \\ {\text { satisfied with the quality of air in the city. }} \\ {\text { II. If another } 1,000 \text { adults selected at random }} \\ {\text { from the city were surveyed, } 78 \text { percent of }} \\ {\text { them would report they are satisfied with }} \\ {\text { the quality of air in the city. }}\\{\text { III. If } 1,000 \text { adults selected at random from a }} \\ {\text { different city were surveyed, } 78 \text { percent of }} \\ {\text { them would report they are satisfied with }} \\ {\text { the quality of air in the city. }}\end{array}$$
$$\begin{array}{l}{\text { A) } \text { None }} \\ {\text { B) II only }} \\ {\text { C) I and II only }} \\ {\text { D) I and III only }}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 16

According to the information in the table, what is the
approximate age of an American elm tree with a
diameter of 12 inches?
$$\begin{array}{l}{\text { A) } 24 \text { years }} \\ {\text { B) } 36 \text { years }} \\ {\text { C) } 40 \text { years }} \\ {\text { D) } 48 \text { years }}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 17

The scatterplot above gives the tree diameter plotted
against age for 26 trees of a single species. The
growth factor of this species is closest to that of
which of the following species of tree?
$$\begin{array}{l}{\text { A) Red maple }} \\ {\text { B) Cottonwood }} \\ {\text { C) White birch }} \\ {\text { D) Shagbark hickory }}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 18

If a white birch tree and a pin oak tree each now have
a diameter of 1 foot, which of the following will be
closest to the difference, in inches, of their diameters
10 years from now? ( 1 foot $=12$ inches)
$$\begin{array}{ll}{\text { A) }} & {1.0} \\ {\text { B) }} & {1.2} \\ {\text { C) }} & {1.3} \\ {\text { D) }} & {1.4}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 19

In $\triangle A B C$ above, what is the length of $\overline{A D} ?$
$$\begin{array}{l}{\text { A) } 4} \\ {\text { B) } 6} \\ {\text { C) } 6 \sqrt{2}} \\ {\text { D) } 6 \sqrt{3}}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 20

The figure on the left above shows a wheel with a
mark on its rim. The wheel is rolling on the ground
at a constant rate along a level straight path from a
starting point to an ending point. The graph of
$y=d(t)$ on the right could represent which of the
following as a function of time from when the wheel
began to roll?
$$\begin{array}{l}{\text { A) The speed at which the wheel is rolling }} \\ {\text { B) The distance of the wheel from its starting point }} \\ {\text { C) The distance of the mark on the rim from the }} \\ {\text { center of the wheel }} \\ {\text { D) The distance of the mark on the rim from the }} \\ {\text { ground }}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 21

$$\frac{a-b}{a}=c$$
In the equation above, if $a$ is negative and $b$ is
positive, which of the following must be true?
$$\begin{array}{l}{\text { A) } c>1} \\ {\text { B) } c=1} \\ {\text { C) } c=-1} \\ {\text { D) } c<-1}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 22

In State $\mathrm{X},$ Mr. Camp's eighth-grade class consisting
of 26 students was surveyed and 34.6 percent of the
students reported that they had at least two siblings.
The average eighth-grade class size in the state is 26.
If the students in Mr. Camp's class are representative
of students in the state's eighth-grade classes and
there are $1,800$ eighth-grade classes in the state,
which of the following best estimates the number of
eighth-grade students in the state who have fewer
than two siblings?
$$\begin{array}{l}{\text { A) } 16,200} \\ {\text { B) } 23,400} \\ {\text { C) } 30,600} \\ {\text { D) } 46,800}\end{array}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 23

The relationship between the monthly rental price $r,$
in dollars, and the property's purchase price $p,$ in
thousands of dollars, can be represented by a linear
function. Which of the following functions
represents the relationship?
$$\begin{aligned} \text { A) } & r(p)=2.5 p-870 \\ \text { B) } & r(p)=5 p+165 \\ \text { C) } & r(p)=6.5 p+440 \\ \text { D) } & r(p)=7.5 p-10 \end{aligned}$$

Lily A.
Numerade Educator

Math Test - Calculator - Problem 24

Townsend Realty purchased the Glenview Street
property and received a 40$\%$ discount off the original
price along with an additional 20$\%$ off the discounted
price for purchasing the property in cash. Which of
the following best approximates the original price, in
dollars, of the Glenview Street property?
$$\begin{array}{l}{\text { A) } \$ 350,000} \\ {\text { B) } \$ 291,700} \\ {\text { C) } \$ 233,300} \\ {\text { D) } \$ 175,000}\end{array}$$

Lily A.
Numerade Educator
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