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Practice Test 5 PRACTICE TEST 5
|3 >
Math Test --- No Calculator
25 Minutes, 20 Questions
Reference
@
7
Aan A=lw A= 1, which of the following,
‘The daily number of visitors v toa store that is
‘open for h hours each day can be modeled by the
equation above, where hi > 1. According to the
‘model, how many more daily visitors can the
store expect if it were open for two more hours
each day?
A) 5
B) 50
© 100
D) 200
If mb <0, then the line whose equation is
y= mx +b cannot contain which of the
following points?
A) (-1,0)
B) (0,1)
©) (1,0)
D) (-1) PRACTICE TEST 5 _
|3
ma
3x4 2y=5
9x + 6y = 18
‘The system of equations above has how many
solutions (x,y)?
A) Zero
B) One
©) Two
D) More than two
go
1 24% = 1, where n #0, then n =
1
Na
2
Ba
4
oF
D) 2x7
a
B
1
A c
Given right triangle ABC above, which of the
following gives the length of AB in terms of 6?
A) sine
B) cosd
C) tnd
yay
sind
Which of the following functions has a graph in
the xy-plane that does not cross the x-axis?
A) f(x)=1-%
B) f(x) = |x=1]
© fle 141
D) fx) =8-1
gi
Which of the following is equivalent to
1
| (%) ex+2ne
} a) 444
| ety
|
} py 242
| ety
| 2,22
¢ 24242
rs yoy
|p) 2x8y 42x?
a
1,1
pet yas
aaa
bet by=-4
Which of the following ordered pairs (x,y)
fulfills the system of equations above?
A) (50,130)
B) (2,26)
©) (5,20)
D) (20,—10)
2 |3
Ls |
The number of people on a social networking
site doubles every 6 months. Ifthe site had an
initial membership of 200 people when it
launched, which of the following equations
represents the site's total membership M ¢ years
after its launch?
A) M= 200(2#)
B) M= 2002)!
©) M=200(2)!
D) M = 200(2)
4i
=i
Which of the following is equivalent to the
expression above? (Note: i = y—1)
A) -2421
B) -2-21
© 2425
D) 2-25
p(x) = (3x? —5)(x +k) — 20
In the polynomial p(x) defined above, kis a
constant. If is a factor of p(x), what is the value
of k?
A) 6
B) 4
Q2
Db) 4
2B
THE COLLEGE PANDA
3|
Lic |
Matt collects rare baseball cards. Each pack of
baseball cards he buys contains 12 cards, two of
which are rare. He currently has 40 rare cards. If
his goal is to have 100 rare baseball cards, how
many more packs of baseball cards will he have
tobuy?
If fis a function defined by f(x) = 2*=5,
=. for
what value of x is f(x) = ?
4, what is the value of PRACTICE TESTS
|3 aK
DE
y=? -10r+k
In the equation above, k is a constant. If the
‘equation represents a parabola in the xy-plane
that is tangent to the x-axis, what is the value of
e
What is one possible solution to the equation
oe i?
x+3
7 THE COLLEGE PANDA
|4 a 4|
Math Test --- Calculator
55 Minutes, 38 Questions
Reference
© |
w
Aaa A=lw
C=2nr
y 2x \ av —7
x x h h
h — 459 a
xv3 ¥ 7
Special Right Triangles V=toh Vanrh
JS
vahath v= hth
3
There are 360 degrees of arc in a circle.
There are 27t radians of arc in a circle.
The sum of the measures of the angles of a triangle, in degrees, is 180,
6 PRACTICE TESTS
|4
a
Anita is moving back to Mexico and exchanges
400 U.S. dollars for 6,650 Mexican pesos. Based
on this information, which of the following is
closest to the number of pesos one U.S. dollar is
worth?
A) 1583
B) 1597
©) 16.24
D) 16.63
A bottle contains x ounces of soda. After Harry
drinks from it, there are y ounces left. In terms of
xand y, what percent of the bottle did Harry
consume?
it
4) GH
1H —,
100y g,
%
B)
9
D
A) 40
B) 50
© 0
D) 70
76
4|
w= 204045
The equation above can be used to model the
weight w of tire, in pounds, after a pump is
used to inflate the tire for s seconds. What is the
increase in the weight of the tire, in pounds, for
every second the pump is used?
A) 04
B) 06
Q2
b) 5
v
Questions 5-6 refer to the following,
information.
Value of Painting A
12
Ll
10
09
08
07
06
05
o4
Value (millions of dollars)
‘The line graph above shows the dollar value of a
piece of artwork, Painting A, from 2005 to
2014.
According to the graph, what was the greatest
cchange (in absolute value) in the value of the
painting between two consecutive years?
A) $20,000
B) $100,000
©) $200,000
D) $650,000 |4
ga €2 Ss
What was the average rate of change in the
value of Painting A from 2009 to 2014?
A) $20,000 per year
B) $30,000 per year
©) $50,000 per year
D) $60,000 per year
In the xy-plane, how many times does the graph
of f(x) = (x ~3)(x~ 1)(x + 2) intersect the
axis?
A) 2
B) 3
o4
D) 5
THE COLLEGE PANDA
4|
oI
The graph of the line is shown in the xy-plane
above. The y-intercept of line ! is 3 and the
x-intercept is —4. If line m is perpendicular to
line I, what is the slope of line m?
Ata retail store, a salesperson can choose
between two salary options. The first option is a
monthly salary of $2,800. The second option is a
monthly salary of $1,500 and a $12 commission
on each dress shirt sold. Which of the following
| inequalities gives the number of dress shirts x
that must be sold in a month for the salary
offered by the second option to exceed the one
offered by the first?
A) x > 108
B) x > 108
©) x>109
D) x>109
7 PRACTICE TEST 5
|4
L108
Number of coffee shops
A u
B 2 |
fc nL |
“Dd | 9
E
F
G
B
me
10
The table above shows the number of coffee
shops in seven different towns. Removing which
of the following towns from the data would
bring the mean number of coffee shops and the
median number of coffee shops for the six
remaining towns closest together in value?
A) Town A.
B) TownB
©) Towne
D) TownD
A store owner increases the price of a pillow by
35 percent, but a customer uses a coupon to buy
the pillow at 35 percent off the already increased
price. If the original price of the pillow was p
dollars, which of the following represents the
final price in terms of p?
A) (1.35)(065)p
B) (1.35)(1.65)p
©) (0.35)(1.65)p
D) 1.35p—035p
78
4|
v
Questions 12-13 refer to the following
information.
The side ofa tire is shown above. The surface area
S of the tire is given by S = 12(R? —r?), where R is
the outer radius and ris the inner radius
th of the following expresses the outer
in terms of the surface area and the inner
3
A) R= yr
5
B R=/ a+r
© R= vSFR
Db)
What is the surface area, in square meters, of a
tire with an outer radius of 10 meters and an
inner radius of 4 meters?
A) 6?
B) 84n?
©) 967?
D) 16x? |4
A.coal-processing plant can process 90 tons of
coal per minute. Three trucks can deliver 135,
tons of coal per hour. What is the minimum,
number of trucks necessary to keep up with the
plant?
A) 40
B) 80
) 100
D) 120
Which of the following is an equation of a circle
in the xy-plane with center (2, —3) and a
circumference of 207?
A) (x42? +(y-3)?
B) (x— 2)? + (y+3)?
©) (x= 2)? + (y+3)?
D) (x +2)? + (y-3)?
8(x)
The functions f and g are defined above. If
f(b) = 29, what is the value of g(b)?
A
B) 6
os
b) 10
‘THE COLLEGE PANDA
a 4|
La a eae aca
—4xy + 3x74?
ay? — 5x2?
What is the sum of the two polynomials above?
A) ~4x2y + 20y? — arty?
B) —4x2y + 2ry? +322y2
©) ~2x2y — 2x2y?
D) 2x28 — arty!
Researchers are attempting to model the growth
of the recovering hawksbill turtle population in
East Africa. They estimate the population to be
200 in the first year. In the second year, they
record a population of 600 turtles. How much
greater would the estimated population be in the
third year ifthe turtle population growth were
‘exponential rather than linear?
A) 800
B) 1000
©) 1200
D) 1800 PRACTICE TEST 5
|4 Ez
v
Questions 19-20 refer to the following
information.
Speeding Ticket Fines
180
170
jo (+
150 | — + ft
g
=
3
E
40 50 60 70 80 90 100 110 120
Speed (miles per hour)
‘The scatterplot above shows the relationship
between the speed of the driver and the amount of
the fine, in dollars, for 15 speeding tickets issued by
4 local police department. The line of best fit is also
shown,
Based on the line of best fit, what is the predicted
fine, in dollars, for a driver speeding at 90 miles
per hour?
A) 70
B) 80
c) 0
D) 100
Which of the following is the best interpretation
of the slope of the line of best fit in the context of
this problem?
A) The estimated fine increase, in dollars, for
every mile per hour over the speed limit
B) The estimated fine increase, in dollars, for
every 10 miles per hour over the speed limit
C) The estimated increase in the speed of the
driver, in miles per hour, for every one
dollar increase in the fine
D) The estimated increase in the speed of the
driver, in miles per hour, for every 10 dollar
increase in the fine
a
(-15,-20.25)
‘A parabola is shown in the xy-plane above.
Which of the following equations correctly
represents the parabola by displaying the
.c intercepts of the parabola as constants or
coefficients?
A) y= (x+1.5)? 20.25
B) y= (x—15)? 20.25
©) y= (x+6)(x-3)
D) y= (x-6)(x+3) THE COLLEGE PANDA
|4 a 4|
Barina
The table below shows the distribution of FTC complaints, categorized by payment method and the dollar
value of all transactions made under each method.
Method of payment | Number of complaints | Total value of transactions
Bank Account Debit 38,527 $85,433,040 |
[ Cash Advance 17332 $168,972,138
‘Check 12917 $88,603,695
Credit Cards 46,736 $96,440,695
Internet 5734 $9,651,081
Money Order 8707 $55,898,113
Prepaid Cards 119,100 $80,860,327 |
| Telephone Bill 1028 $870,511 i
Wire Transfer 106,472 '$500,705,082
[Tota 356553 | —~$1,087A04,682
If an FTC complaint is chosen at random, which of the following is closest to the probability that the
complaint is related to the payment method whose transactions accounted for the highest dollar value?
A) 0.05
B) 0.16
©) 030
D) 0.46
Jake has a bank account that earns 5 percent
interest compounded annually. After 8 years, he
has a total of $4,000 in the account. Which of the
following represents the value of his initial
deposit? C
4 o: so
In the figure above, A and B are points on the
circle C. Ifthe area ofthe circle is 547, what is
©) 4,000(0095)¢ the area ofthe sector formed by central angle
D) 4,000 ~ 4,000(.05)(8) ach?
A) 107
B) 120
© un
D) 167
81 PRACTICE TEST 5
|4
‘The figure above shows a metal ring with two
square faces and a thickness of 05 cm. The
square faces have a side length of 2.5 em and the
circular hole has a diameter of 2em. Which of
the following is closest to the volume, in cubic
centimeters, of the metal used to form the ring?
A) 107
B) 155
© 214
D) 3.1
In the xy-plane, line I passes through (0,0) and
is perpendicular to the line 3x + y = c, where c is
a constant. Ifthe two lines intersect at the point
(kk —4), what is the value of k?
Aa
B) 6
o8
D) 10
82
Distance from the Post Office (miles)
Time (hours)
Pat delivers packages for the post office. The
graph above shows his distance from the post
office during his delivery route. Which portion
of the graph represents the times when Pat is
driving along a circular road around the post
office?
A) The portion from 0 hours to 1 hour
B) The portion from 1 hour to 3 hours
C) The portion from 3 hours to 5 hours
D) The portion from 5 hours to 6 hours,
Abakery aoe ‘muffins to weigh
between 17 and 24 ounces, Ifm is the weight of
a mun fom this bakery which of the following
inequalities expresses the possible values of m? |4 a
(On vacation, Jill spends i of her money the first
day. Then she spends + ofthe money she has
left on the second day. She starts the third day
‘with $180 left to spend. How many dollars did
she have atthe start of her vacation?
A) 280
B) 320
© 360
D) 400
If3n —8
the measure of ZAOC. What i the value of 2?
faQe)=§-
What is the solution to the equation above?
The product of a and b is 912. If bis 10 more than
2 times @ and a > 0, what is the value of a? PRACTICE TEST 5.
|4 a 4 |
’
Questions 37-38 refer to the following
There are 50 questions on a quiz given toaclass. information.
of students. Only 20% of the class answered all
the questions on the quiz. Of the remaining
Years of Experience | Commission rate]
students, half answered two-fifths of the T 0.05,
questions and the other half answered 2 0075 |
three-fifths. What was the average number of iz |
questions answered on this quiz? 0s |
ois]
or more 0.20
The chart above shows the commission structure
for the salespeople at a given company. Each
salespersons monthly salary can be calculated by
using the formula $ = 2,400 + cx, where $ is the
monthly salary, in dollars, cis the commission rate,
Ea and x is the salesperson’s sales, in dollars, for the
given month
B
137 |
6
Becky, a salesperson with 3 years of experience,
r brings in $5,000 in sales in January. In dollars,
D what is Becky's salary in January?
3
A G
In the figure above, AD = 3, BD = 6,and |
BC = 15. What is the area of trapezoid ADEC?
‘A salesperson with 1 year of experience earns.
$4,500 in salary during one month. He would
have earned $9,960 in salary during that same
month if he had how many more years of
experience?
