Module

II
E(m) = 68 - 1.76m

-------.------k The linear function above shows how much battery

kWh left in the Electric Vehicle after m miles
traveled. The capacity of this car battery is 68 kWh.
What does 1.76 mean in the context?
l
A) The EV will take 1.76 hours to travel every
mileage.
In the figure above, l II k. What is the value of
B) The EV battery will use 1.76 kWh form
measure of La0?
miles.
C) The EV battery will use 1. 76 kWh per mile.
D) The EV will take 1.76 hours to recharge the
battery.

II
II
A meal set in a fast-food restaurant consists of a
drink, a chip, and a sandwich. There are 5 types of y = k(x - l)(x - 3)(x- S)
drinks, 4 types of chips, and 3 types of sandwiches
to choose from. How many different sets are In the equation above, where k is a positive
possible? constant. If the graph passes through the point
(a,b), where 1 <a< 3, which of the following is
NOT a possible value of b?

A) 0
B) 1
C) 2
D) -1
•-·-· - II
6K-18L = 24M Frequency

2.0-2.4 1
From the given equation above, it can be rewritten
as L = aK + bM, where a and bare constants. 2.5-2.9 3
What is the value of a?
3.0-3.4 4

3.5-4.0 3

A GPA distribution of Mr. Peter's class is shown in

the table above. What percent of the students in
Mr. Peter's class got a GPA of 3.0 or above to the
nearest tenth?

A) 0.6%
B) 0.7%
C) 63.6%
D) 63.7%

x2 +1= 4x
DI
The equation has solutions x = k + {in, where k f(x) = x 2 - 3
and m are positive constants. What is the value of h(x) = 2f (x) - 1
m-k?
In the two functions above, if h(k) = 1, where k is
A) -1 a positive constant, what is the value of k?
B) 0
C) 1
D) 2
 B m
-2
Ill 3
sa-b
z7a+b
= 163
= 93

4 0
In the system of equations above, what is the value
6 -1 of b 2 - a 2 ?

8 -2
A) 8
B) -8
The table above shows some values of x and their C) 16
corresponding values of a linear function f(x). D) -16
What is they-intercept of the graph of y = f (x)?

A) (0, 4)
B) (O, 2)
C) (0, 1)
D) (0, 0.5)

ID

COOKIES 25 18 25 68
Time (Hours)
VEGGIE STICKS 5 7 17 29
The graph represents the total charge for the
CUPCAKES 21 15 17 53
plumbing service for x hours of job. The plumber
Total 51 40 59 150 charges a one-time basic charge plus hourly rate
charge for the hours worked. Which of the following
best interpret the slope of the graph above?
The table above shows the distribution of favorite
snacks for 150 students, 9th-11 th graders in a certain A) The plumber's one-time fee.
high school. If one of the students is selected at B) The plumber's total charge for x hours of
random, what is the probability of selecting a job.
student whose favorite snack was a cupcake? C) The plumber's hourly rate.
D) The trend of plumber's inconsistent hourly
A)21 B) 21 C)~ D) 68 rate.
53 51 150 150
m m
y
Vertex

Which of the following expressions is equivalent to

the expression above, where x > O?

I) x14

J) x 14 1/"x
K) Vxf4 y =-x2 +4x+5
L) x 3 -Jxf4
The graph of y = -x 2 + 4x + 5 is in XV-plane. If the
horizontal AB goes through the vertex of the graph
and vertical BC goes through the x intercept, Point
C, of the graph as shown above, what is the area of
rectangle OABC?

m
In the graph of 3x 2 - 6x + 3y + 12y =
2
2 in the
xy-plane, what is the circumference of the circle?
m
2illn
A)
3 A scale drawing of a bookcase shows the scale 1 cm
B) 2-/f7rr = 2 feet. A bookcase has a dimension of the base 2.5
zmn cm by 3 cm in the drawing. What is the actual area
C)
3
17 of the base, in square feet, of this bookcase?
D) -n
3
A) 7.5 ft 2
B) 15 ft 2
C) 30 ft 2
D) 45 ft 2
m DJ
In a group of SO tourists, 20% of them have never
been abroad. If three tourists are selected at
random and are asked about their past travel
experience, what is the probability that at least one
person has been abroad?

A) 487 B) 3107 C) 243 D) 164·3

490 3125 490 3125
In the figure shown above, point O is the center of
the circle. If all four vertices of the square are on the
circle and the area of circle is 16rr, what is the area
of the shaded region?

A) 16rr - 32
B) 16rr - 16
C) 16rr - 20
D) 16rr - 36

g(x) = ✓ 3
~ f (x) = 1500 • 1.osx
In the exponential function above, f (x) represents
h(x) = 2g(x) + k the balance x years after deposit on a certificate of
deposit account {CD). If the CD accounts offers p
In the system of equations above, where k is a
percent annual interest rate, what is the value of p
constant, if h(6) = 8, then what is the value of k?
in the function above?

A) 1.05
B) 0.05
C) 0.5
D) 5
m
D
y

A B C

Note: Not drawn to scale.

V(3,-4) l
In the figure above, the ratio of AB to BC is
3:7. If the area of triangle ABO is 210, what Two graphs of linear function,l, and quadratic
is the area of triangle BCD? function are shown above. One of intersections of
two functions is (a, 0), where a > 0. What is the
A) 210 equation of line l?
B) 420
C) 490 5

D) 630
A) y = - 4x + 5
B) y = -x + 5
5
C) y=- x+S
6
3
D) y=-
2x+S

STOP
If you finish before time is called, you may check
your work on this module only. Do not turn to any
other module in the test.
 Module
2

■ II
Which of the following is equivalent to the
expression x 4 - 1 ?
20ft
6ft
I. (x 2 1)(x2 + 1)
-
II. (x - l)(x + l)(x 2 + 1) d
Ill. (x - 1) 2 (x + 1) 2
A 6ft tall person looks at the top of the roof as
A) I only shown above. If the height of the house from
B) I and II only the ground to the top of the roof is 20ft and he
C) I and Ill only knows the angle of elevation (0°), which of the
D) I, II, and Ill following expression can be used to find the
distance (d ft) from the person to the house?

A) d=~
sin0
B) d=~
tan0
C) d=~
tan0
D) d=14·tan0

II
1 3
-y = x--
2 2
2x -y = 3
II
In the system of equations above, how many
In a triangle ABC, which of the following must
solutions does the system have?
be true if sinLA = cosLB?
A) One
B) Two I. Triangle ABC is a right triangle.
C) Zero II. Triangle ABC is an isosceles right triangle.
D) Infinitely many Ill. Triangle ABC is an obtuse triangle.

A) I only
B) I and II only
C) I and Ill only
D) I, II, and Ill
 y
Concrete structures such as bridges, buildings, or
stadiums have some safety gap between sections to
allow for temperature expansion or contraction. The
size of gap, g(t), in inches, is a linear function of
temperature t, in degrees Fahrenheit(° F) where
X
the temperature is between 32°F and 115°F. For a
certain building, the gap is 2.58 inches at 45°F and
1.12 inches at 85°F. What is the size of gap
expected in inches when the temperature is at
In the quadratic function in the XV-plane above, if
110°F?
the equation of the function is y = ax 2 + bx + c,
where a, b, care constants. Which of the followings
A) 0.2075
must be true?
B) 0.6425
C) 0.8135
I. a< 0
D) 0.7375
II. b >0
Ill. c >0
A) I only
B) I and II only
C) I and Ill only
D) I, II, and Ill

-
y f(2x)
= -h(x) +6
y = h(x) 3
-2 2

-1 1 In the equation above, if h(3) = 4, What is the

value of f(6)?
0 6
------,-4,..,..----- X
2 3 4
1 5 A) 9
2 2
B) 8
C) -6
3 1
D) 6

The complete graph of the function y = h(x) and a

table of some values for the function y = f (x) are
shown above. If the maximum value of h(x) ism,
what is the value of a if f (a) = m?
 2x + 4
2
= 144
• TOTAL
a ADOPTED 5 6 11

In the equation above, a is a constant. If x= 1 is PURCHASED 12 23 35

one of the solutions, what could be the value of a? TOTAL 17 29 46

A} 2
1 The table above shows the distribution of ways to
B)
2 get a pet for 46-households surveyed at random.
C} 8 What fraction of the cats were purchased in the
D} 1
8 households surveyed?

A) 12 B) 12 C} 35 D} 12
17 46 46 35

ID
A survey was conducted for 500 people at random if
they want to go back a cheaper phone without
internet service after using a phone with internet
service for a while. Of those surveyed, 97% won't go
m
back to a cheaper phone without internet service. The dimensions of a rectangular box for shipping in
Which of the following inferences best interpret the a local shipping center were restricted for the size of
result of this survey? the box. The sum of the perimeter of base of the
box plus the height of the rectangular box CANNOT
A} At least 97% of people who used a phone exceed 120 inches. If the area of the square base of
with internet service won't buy a cheaper a certain box is 289 in 2 , what is the maximum
phone even with internet service. height of the box could be allowed, in inches?
B} At least 97% of people who used a phone
without internet service will change to use a A) 64 inches
phone with internet service in the future. B) 52 inches
C} Most people who used a phone with C} 86inches
internet service won't go back to a cheaper D} 48 inches
phone without internet service.
D} Most people who used a cheaper phone
without internet service will change to use a
phone with internet service in the future.
Ill Bl
Which of the following expressions is equivalent to f (x) = a(x + l)(x - 4)
-2x 2 +x-4
---?
x+2 • The graph of the function f is parabola in the xy-
plane, where a is a constant. Which of the following
A) -2x + 5 - ~ x intervals could contain the x coordinate of the
x+2
B) -2x + 5 +~x+2
vertex?
14
C) -2x - 5 + -
x+2 A) -4 < X < 1
D) -2x-5+~ B) -4<x<-1
x+2
C) -l<x<4
D) -l<x<l

Ill
m In the equation ax 3 + bx 2 + ex + d, where
a, b, c, and dare constants. If the equation has
zeros at -2, 0, and 7, which of the following is a
factor of the equation?

The equation shown above can be used to convert A) x

the temperature from degree Celsius to degree B) X - 2
Fahrenheit. If the degree Celsius were changed from C) X + 7
SC0 to 15°C, How much degrees in Fahrenheit will D) X -1
change accordingly?

A) 9
5
B) s
9
C) 10
D) 18
 Ill
Edward needs to recruit at least 12 students, Result of the number of defective light bulbs
for a sample of 15 boxes at random
consisting of juniors and seniors only to do science
group project. The project requires at least 3 juniors
and at least 5 seniors for the project members. He
Number of boxes
II■■■
Number of defective 3 1 2 3
knows that each senior is allowed to spend 2 hours
light bulbs per box
only and each junior is allowed to spend 3 hours
only and he also found out that the project should
not take more than 180 hours in total. Which of the The table shows the result of the number of
inequalities best represents all the constraints defective light bulbs per box for a sample of 15
described if xis the number of juniors and y is the boxes. What is the average of defective light bulbs
number of seniors? per box for the results in the table above?

X +y < 12 A) 1.8
x>3 B) 2.0
A) C) 2.2
y>S
3x + 2y < 180 D) 2.6
X + y > 12
x>3
B)
y>S
2x + 3y < 180
X +y > 12
x>3
C)
y>S
3x + 2y < 180
ID
X +y > 12 C
x>3
D)
y>S
2x + 3y < 180

A B

In the figure shown above, mLADB = 120° and

AD and BD are angle bisectors of
LCAB and LCBA, respectively. What is the
measure of angle M in the figure?
m fD
Tom Jerry Income vs percent of income spent on vacations
y
~
- 7

~-
u .c
0 Q.
10
·-
-
-
V
I./

~ "'
J!. E
0
g
.;
8
- -- - L-
•V
--/- - -- ,__
u
C
"'
u
:: !:
6 - --
0 C
... 0
•/
---- - 1/ -· -
Time (hours) Time (hours) ~ ~ 4 1.,4
- --
~ ~
~ 0.

The two graphs above show time vs velocity profiles

0. VI 2
.v ' I,-.. "-·--

X
0 20 40 60 80 100
for two people, Tom and Jerry. The areas under the
Income in thousand dollars
curves are same on both graphs. If two people
started and ended their journeys at the same time,
which of the following statements is valid for the The scatterplot above shows several data for the
graphs shown above? relationship between income and percent of income
spent on vacations. Which of the following is closest
A) Both people traveled the same distance in total. to the difference of the actual percent and the
B) Jerry's average speed is higher in value than predicted percent by the line of best fit for the
person whose income is $45,000?
Tom's average speed.
C) Tom stopped for a while along the journey.
A) 0.5
D) Jerry must have turned around at some point
B) 1
along the journey.
C) 1.5
D) 2

V = rrr 2 h

The volume of a cylinder can be calculated by the

equation above. If the radius increased by 100
percent and the length of height decreased by SO
percent, what is the percent change in the volume
of the cylinder?

A) The volume increases by 100%.

B} The volume increases by 200%.
C) The volume decreases by 100%.
D) The volume doesn't change.
STOP
If you finish before time is called, you may check
your work on this module only. Do not turn to any
other module in the test.