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School
Rumson Fair Haven Reg H *
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Course
101
Subject
Mathematics
Date
Nov 24, 2024
Type
Pages
4
Uploaded by CoachRiverTiger30
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Home
Exam
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Date:
1.
There is a negative correlation between the number
of hours a student watches television and his or
her social studies test score.
Which scatter plot
below displays this correlation?
A.
B.
C.
D.
2.
What are the vertex and the axis of symmetry of
the parabola shown in the diagram below?
A.
The vertex is (
2
,
3), and the axis of
symmetry is
x
=
2.
B.
The vertex is (
2
,
3), and the axis of
symmetry is
y
=
2.
C.
The vertex is (
3
,
2), and the axis of
symmetry is
y
=
2.
D.
The vertex is (
3
,
2), and the axis of
symmetry is
x
=
2.
3.
Which equation represents a line that is parallel to
the line
y
=
4
x
+ 5?
A.
y
=
4
x
+ 3
B.
y
=
1
4
x
+ 5
C.
y
=
1
4
x
+ 3
D.
y
= 4
x
+ 5
page 1
4.
Consider the graph of the equation
y
=
ax
2
+
bx
+
c
,
when
a
6
= 0.
If a is multiplied by 3, what is true
of the graph of the resulting parabola?
A.
The vertex is 3 units above the vertex of the
original parabola.
B.
The new parabola is 3 units to the right of
the original parabola.
C.
The new parabola is wider than the original
parabola.
D.
The new parabola is narrower than the
original parabola.
5.
Kathy plans to purchase a car that depreciates
(loses value) at a rate of 14% per year.
The
initial cost of the car is $21,000.
Which equation
represents the value,
v
, of the car after 3 years?
A.
v
= 21
,
000(0
.
14)
3
B.
v
= 21
,
000(0
.
86)
3
C.
v
= 21
,
000(1
.
14)
3
D.
v
= 21
,
000(0
.
86)(3)
6.
If 3
ax
+
b
=
c
, then
x
equals
A.
c
b
+ 3
a
B.
c
+
b
3
a
C.
c
b
3
a
D.
b
c
3
a
7.
Which ordered pair is in the solution set of the
system of equations
y
=
x
+ 1 and
y
=
x
2
+ 5
x
+ 6?
A.
(
5
,
1)
B.
(
5
,
6)
C.
(5
,
4)
D.
(5
,
2)
8.
What is the value of the third quartile shown on
the box-and-whisker plot below?
A.
6
B.
8.5
C.
10
D.
12
9.
In a linear equation, the independent variable
increases at a constant rate while the dependent
variable decreases at a constant rate. The slope of
this line is
A.
zero
B.
negative
C.
positive
D.
undefined
10.
Which ordered pair is in the solution set of the
following system of inequalities?
y <
1
2
x
+ 4
y
x
+ 1
A.
(
5
,
3)
B.
(0
,
4)
C.
(3
,
5)
D.
(4
,
0)
11.
Which expression is equivalent to (3
x
2
)
3
?
A.
9
x
5
B.
9
x
6
C.
27
x
5
D.
27
x
6
12.
The expression 9
x
2
100 is equivalent to
A.
(9
x
10)(
x
+ 10)
B.
(3
x
10)(3
x
+ 10)
C.
(3
x
100)(3
x
1)
D.
(9
x
100)(
x
+ 1)
page 2
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13.
What are the roots of the equation
x
2
10
x
+21 = 0?
A.
1 and 21
B.
5 and
5
C.
3 and 7
D.
3 and
7
14.
Which equation is represented by the graph below?
A.
y
=
x
2
3
B.
y
= (
x
3)
2
C.
y
=
|
x
|
3
D.
y
=
|
x
3
|
15.
Factor the expression 16
x
2
25
y
2
.
16.
Which value of
x
makes the expression
x
+ 4
x
+ 3
undefined?
17.
A contractor needs 54 square feet of brick to
construct a rectangular walkway.
The length of
the walkway is 15 feet more than the width.
Write an equation that could be used to determine
the dimensions of the walkway.
Solve this
equation to find the length and width, in feet, of
the walkway.
18.
On the set of axes below, draw the graph of
y
= 2
x
over the interval
1
x
3.
Will this graph ever intersect the
x
-axis?
Justify
your answer.
19.
On the set of axes below, solve the following
system of equations graphically and state the
coordinates of all points in the solution set.
y
=
x
2
+ 4
x
5
y
=
x
1
page 3
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20.
Factor completely: 4
x
3
36
x
21.
Solve for
x
:
3
5
(
x
+ 2) =
x
4
22.
The table below shows the number of prom tickets
sold over a ten-day period.
Plot these data points on the coordinate grid below.
Use a consistent and appropriate scale.
Draw a
reasonable line of best fit and write its equation.
23.
The test scores from Mrs. Gray’s math class are
shown below.
72, 73, 66, 71, 82, 85, 95, 85, 86, 89, 91, 92
Construct a box-and-whisker plot to display these
data.
24.
Ms. Mosher recorded the math test scores of six
students in the table below.
Student
Student
Score
Andrew
72
John
80
George
85
Amber
93
Betty
78
Roberto
80
Determine the mean of the student scores, to the
nearest tenth
.
Determine the median of the students scores.
Describe the e
ect on the mean and the median if
Ms. Mosher adds 5 bonus points to each of the
six students’ scores.
25.
Find three consecutive positive even integers such
that the product of the second and third integers is
twenty more than ten times the first integer. [Only
an algebraic solution can receive full credit.]
page 4
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