200 Mill Rd., Suite 150B
Fairhaven, MA 02719, USA
James J. Kaput Center for
Research and Innovation in Mathematics Education
Full Name:
Date: ____ ____
____ ____
20 ____ ____ (month/day/year)
Teacher Name:
Amount of Time to Complete (to be filled in by your teacher): ____ ____ mins.
Instructions
The test is comprised of 19 questions.
Please fill in the bubble for your chosen answer, A, B, etc. on the answer sheet or
write clearly in the space provided in the test booklet where indicated.
Be sure to use blue or black ball-point pens or a pencil (no felt tips or gel pens)
and if you fill in an incorrect bubble, simply cross it out and fill in the correct
bubble.
For each question there is a confidence scale from 1 to 7. Please fill in the bubble
on the answer sheet that relates to the number to indicate how confident you
were in answering each question.
You are not allowed a calculator and you have 45 minutes to complete the
test.
Please try your best. This test is designed by the University of Massachusetts
Dartmouth to help us assess your mathematical knowledge.
Thank you.
Please do not write below this line.
Place ID label below:
3001
Item #1a
Which of the following best represents the graph of a line with an undefined slope?
A
B
C
D
Item #1b
Below, please circle the number that corresponds to how confident you are in
answering this question correctly.
1
Not confident
2
3
4
Neutral
5
6
7
Very confident
Item #2a
Amy is choosing between two local Internet service providers, Simple.com and
Call.com. The graph shows the relationship between the total cost per month of
each Internet provider and the hours spent on-line.
According to the graph, which of these statements is true?
A
Simple.com would cost less than Call.com if Amy used the
Internet more than 5 hours a month.
B
Call.com would cost less than Simple.com if Amy used the
Internet less than 5 hours a month.
C
Simple.com would cost less than Call.com if Amy used the
Internet for exactly 5 hours a month.
D
Call.com would cost less than Simple.com if Amy used the
Internet more than 5 hours a month.
Item #2b
Below, please circle the number that corresponds to how confident you are in
answering this question correctly.
1
Not confident
2
3
4
Neutral
5
6
7
Very confident
Item #3a
Which type of parent function is represented by the function graphed below?
A
Exponential
B
Absolute Value
C
Linear
D
Quadratic
Item #3b
Below, please circle the number that corresponds to how confident you are in
answering this question correctly.
1
Not confident
2
3
4
Neutral
5
6
7
Very confident
Item #4a
What is the factored form of the expression below?
x 2 ! 16
A
(x ! 4)(x + 4)
B
(x ! 8)(x + 8)
C
(x ! 4)(x ! 4)
D
(x ! 8)(x ! 8)
Item #4b
Below, please circle the number that corresponds to how confident you are in
answering this question correctly.
1
Not confident
2
3
4
Neutral
5
6
7
Very confident
Item #5a
The graph represents the relationship between the height of a ball and the
distance it traveled after the ball was thrown.
What conclusion can be drawn from the graph about this relationship?
A The ball reached a maximum height of about 16 feet after traveling a
horizontal distance of approximately 33 yards.
B The ball reached a maximum height of about 13 feet after traveling a
horizontal distance of approximately 14 yards.
C The ball was thrown from a height of approximately 6 feet above the
ground and traveled a horizontal distance of approximately 20 yards
before it reached its maximum height.
D The ball was thrown from a height of approximately 7 feet above the
ground and traveled a horizontal distance of approximately 10 yards
before it reached its maximum height.
Item #5b
Below, please circle the number that corresponds to how confident you are in
answering this question correctly.
1
Not confident
2
3
4
Neutral
5
6
7
Very confident
Item #6a
If the graph of the equation y = x 2 + 1 is translated 3 units down, what will be the
equation of the new graph?
A
y = (x ! 3)2 + 1
B
y = x2 ! 2
C
y = x2 + 4
D
y = !3x 2 + 1
Item #6b
Below, please circle the number that corresponds to how confident you are in
answering this question correctly.
1
Not confident
2
3
4
Neutral
5
6
7
Very confident
Item #7a
In a laboratory experiment, the number of bacteria in a petri dish doubled every
hour. The table below shows the total number of bacteria, in thousands, for the
first 3 hours’ growth.
Bacteria Growth
Numbers of
Total Number
Hours’ Growth
of Bacteria
(in thousands)
0
1
1
2
2
4
3
8
If the pattern established in the table continues, which of the following
expressions best represents the total number of bacteria, in thousands, in the
Petri dish after t hours’ growth?
A
2t
B
2t 2
C
2t
D
t2
Item #7b
Below, please circle the number that corresponds to how confident you are in
answering this question correctly.
1
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2
3
4
Neutral
5
6
7
Very confident
Item #8a
The graphs below represent functions of the form y = ax 2 . In which of the
following graphs does a have the smallest value?
A
B
C
D
Item #8b
Below, please circle the number that corresponds to how confident you are in
answering this question correctly.
1
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2
3
4
Neutral
5
6
7
Very confident
Item #9a
A function is described by the equation y = 2x 2 ! 5x ! 3 , in which y is
dependent on x . If a value for the independent variable is selected from the set
!4,!1,0,2,5 , which of the following is a corresponding dependent value?
{
}
A
9
B
!6
C
!5
D
0
Item #9b
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answering this question correctly.
1
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2
3
4
Neutral
5
6
7
Very confident
Item #10a
Nancy threw a ball upward from the roof of a 50-foot-high building at an initial
velocity of 40 feet per second. The table shows the relationship between the
time elapsed and the ball’s height above the ground.
Time After Nancy
Threw the Ball
(seconds)
0
0.5
1.0
1.5
2.0
2.5
Height of the Ball
Above the Ground
(feet)
50
66
74
74
66
50
If the height of the ball is a quadratic function of time, between what times did
the ball reach a height of 70 feet?
A Between 0 seconds and 0.5 second
B Between 1 second and 1.5 seconds
C
Between 0.5 second and 1 second and
between 1.5 seconds and 2 seconds
D
Between 1 second and 1.5 seconds and
between 1.5 seconds and 2 seconds
Item #10b
Below, please circle the number that corresponds to how confident you are in
answering this question correctly.
1
Not confident
2
3
4
Neutral
5
6
7
Very confident
Item #11a
The path of a rocket fired during a fireworks display is given by the equation
s(t) = 64t ! 16t 2 , where t is the time, in seconds, and s is the height, in feet.
Show all work.
What is the maximum height, in feet, the rocket will reach?
In how many seconds will the rocket hit the ground?
Item #11b
Below, please circle the number that corresponds to how confident you are in
answering this question correctly.
1
Not confident
2
3
4
Neutral
5
6
7
Very confident
Item #12a
The graph of a function of the form y = ax 2 + c is shown below.
If the graph is translated only up or down to include the ordered pair (6, 7), which
of the following equations best represents the resulting graph?
A
y=!
B
y=
C
D
1 2
x +3
3
1 2
x +1
3
1
y = ! x 2 ! 10
3
1
y = x2 ! 5
3
Item #12b
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answering this question correctly.
1
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2
3
4
Neutral
5
6
7
Very confident
Item #13a
A biologist noticed that the population of ladybugs in a sample doubled every 3
days. If the initial population sample was 30 ladybugs, what was the population
of ladybugs at the end of 9 days?
A
90
B
270
C 120
D
240
Item #13b
Below, please circle the number that corresponds to how confident you are in
answering this question correctly.
1
Not confident
2
3
4
Neutral
5
6
7
Very confident
Item #14a
Look at the equations shown below.
y=
4 2
x +3,
5
y=
4 2
x ,
5
y=
4 2
x !5,
5
y=
4 2 3
x +
5
5
Which of the following statements is true for the graphs of all the equations
given?
A
The graphs are congruent and open downward.
B
The graphs open upward and are symmetrical about the yaxis.
C
The graphs are congruent and are listed from narrowest to
widest.
D
The graphs open downward and are symmetrical about the yaxis.
Item #14b
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answering this question correctly.
1
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2
3
4
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5
6
7
Very confident
Item #15a
Mike was driving his car at a constant speed of 50 miles per hour. Then he
accelerated at a constant rate for 7 seconds. What additional information is
needed to determine the speed of the car after 7 seconds?
A The speed of the car prior to acceleration
B The length of time Mike accelerated
C The speed limit
D The rate of acceleration
Item #15b
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answering this question correctly.
1
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2
3
4
Neutral
5
6
7
Very confident
Item #16a
Which of the following polynomial equations best represents this graph?
A
(x + 6)(x ! 2) = y
B
(x ! 2)(x ! 16) = y
C
(x ! 6)(x + 2) = y
D
(x + 2)(x + 16) = y
Item #16b
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answering this question correctly.
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2
3
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Very confident
Item #17a
How does the graph of y = !
A The graph of y = !
y=
3 2
x opens downward and is wider than the graph of
4
4 2
x
3
B The graph of y = !
y=
3 2
4
x differ from the graph of y = x 2 ?
4
3
3 2
x opens upward and is wider than the graph of
4
4 2
x
3
C The graph of y = !
of y =
3 2
x opens upward and is narrower than the graph
4
4 2
x
3
D The graph of y = !
graph of y =
3 2
x opens downward and is narrower than the
4
4 2
x
3
Item #17b
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answering this question correctly.
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2
3
4
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5
6
7
Very confident
Item #18a
What are the x-intercepts of the graph of the equation y = x 2 + x ! 12 ?
A
x= 4, x=3
B
x = !4 , x = 3
C
x = !4 , x = !3
D
x = 4 , x = !3
Item #18b
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answering this question correctly.
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Very confident
Item #19a
The formula for the volume of a cylinder with a height of 5 units can be
represented as y = 5! x 2 , where x represents the radius. If the cylinder’s height
is tripled, what is the effect on the graph of y as a function of x ?
A
The graph is translated up
B
The graph remains the same
C
The graph becomes narrower
D
The graph becomes wider
Item #19b
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answering this question correctly.
1
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2
3
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Neutral
5
6
7
Very confident