1.
Write the equation 3x + 4y = 12 in slope-intercept form.
a)
c)
2.
!b
b)
!a
!5, !1
b)
c)
a
d)
b
!1, 5
d)
1, 5
x2 ! 4x !5 = 0
!5, 1
c)
domain
b)
range
c)
function
d)
graph
Linda’s family pictures cost $2.10 each plus a sitting fee of $25.00. If her bill came to
$58.60, how many pictures did she order?
a)
9.
3x + 4 ! 2x !1 = 8 ! 5x !1
In the ordered pair (x, y) the value x is said to be an element from the ...
a)
8.
2y ! 4x + 6 = 0
y-intercept = !6, slope = 4
y-intercept = !6, slope = 2
y-intercept = !3, slope = !2
y-intercept = !3, slope = 2
Solve the quadratic equation:
a)
7.
$400
$500
$700
$800
Solve:
a)
6.
2y = 3x ! 4
3y + 12 = 2x
2y ! 8 = 3x
3y = 2x !4
Find the y-intercept and the slope of the line represented by:
a)
b)
c)
d)
5.
y = ¾x + 3
y = !¾x + 12
The cost to manufacture flags involves an initial fixed cost for setup plus a charge for
each flag produced. This graph shows the cost(c) for producing various numbers (N) of
flags.
What is the cost of producing 600 flags?
a)
b)
c)
d)
4.
b)
d)
What is the equation of the graph shown?
a)
b)
c)
d)
3.
3x + 4y ! 12 = 0
y = !¾x + 3
2
Factor completely:
a)
c)
(x ! 6)(x + 3)
(x ! 9)(x + 2)
b)
16
c)
x2 !3x !18 = 0
b)
d)
(x + 6)(x ! 3)
(x + 9)(x ! 2)
28
d)
40
10.
Factor completely:
(x2 ! 4y2)(x2 + 4y2)
(x + 2y)(x ! 2y)(x + 2y)2
a)
c)
11.
I
(x + 2y)(x !2y)(x2 + 4y2)
(x + 2y)(x ! 2y)(x + 2y)(x ! 2y)
b)
II
c)
III
d)
IV
c)
!1
d)
undefined
4
d)
6
What is the slope of a vertical line?
a)
13.
b)
d)
In which quadrant is the point A(!4, 6) located?
a)
12.
x4 ! 16y4
0
b)
1
What is the x-intercept of the line:
!6
a)
b)
3x !2y = 12 ?
!4
c)
14.
What is the slope of the line that passes through the points (!0.5, 3) and (!3, 2.5) ?
15.
What is the slope of any line perpendicular to the line whose equation is 3x + 7y !14 = 0?
16.
What relationship do the lines 3x ! 2y = 4 and 2x + 3y = 1 have in a coordinate plane?
a)
c)
17.
they are parallel
they are perpendicular
h 0
1
2
3
c
7
10
13
4
c = 3h + 4
h = 3c + 4
Solve:
b)
d)
c = ah + 4
h = ac + 4
3x2 + 2x = 0
Solve:
a)
19.
they are the same line
they intersect but are not perpendicular
Find a linear equation of best fit for the data given in the table.
a)
c)
18.
b)
d)
0,!b
b)
0, !2
c)
0, !3/2
d)
1, !b
20.
Simplify:
21.
Solve:
a)
22.
b)
37
c)
38
x=8
b)
x = !2
c)
y=8
d)
!¾
b)
!1
c)
½
d)
A positively sloped line slants:
a)
c)
upward to the left
downward to the right
25.
Points (x1, 3) and (x2, 3) lie ...
a)
on the same horizontal line
b)
on the same vertical line
c)
on the x-axis
d)
on the y-axis
26.
What is the vertical stretch factor of
b)
d)
upward to the right
vertically
?
A)
B)
C)
D)
27.
d)
The following rectangles have the same perimeter. What is the value of x?
a)
24.
6
64
What is the equation of the horizontal line passing through the point (8, !2)?
a)
23.
2x + 6 = 70
2
3
4
For the function,
A)
B)
C)
D)
-19
-11
-7
13
, what is F(-2)?
y = !2
28.
What is the vertex of the quadratic function
A)
B)
C)
D)
29.
30.
?
(-4,-2)
(-.5,-2)
(4,-2)
(4,2)
Which statement is correct about the graph of
?
A)
It shifts the graph of
, 4 units right and 2 units down, and is not as wide.
B)
It shifts the graph of
, 4 units up and 2 units left, and is wider.
C)
It shifts the graph of
, 4 units left and 2 units up, and is wider.
D)
It shifts the graph of
, 4 units down and 2 units right, and is not as wide.
What is a possible equation for the graph displayed below?
A shuttle bus leaves Halifax airport at 8 am and the route it takes can be described by the
broken line graph below.
31.
What is the speed of the bus between 8 a.m. and 12 p.m.?
A)
B)
C)
D)
32.
0 km / hr... the bus is stopped
37.5 km /hr away from the airport
37.5 km/hr towards the airport
150 km/hr away from the airport
Which situation below is a possible example of a zero correlation?
A)
B)
C)
D)
The amount of gas you burn and the size of the motor
The amount of gas you burn and the load you are carrying
The amount of gas you burn and the distance that you travel
The amount of gas you burn and the colour of your vehicle
33
The amount of the time you spend studying for an exam generally reflects the mark you
will receive on the exam. Which statement best reflects this relationship?
A)
B)
C)
D)
This is a strong negative correlation.
This is a weak negative correlation.
This is a strong positive correlation.
This is a weak positive correlation.
34
The mapping rule (x,y) º(x-3, 2y+5) is a transformation of the graph
the equation of the parabola?
35.
What is the equation of the axis of symmetry for the parabola
A)
B)
C)
D)
36.
37.
, what is the vertex?
(-6,3)
(-6,-3)
(6,-3)
(6,3)
Various regressions were performed on a group of data. Your graphic calculator gave the
following results:
Power Regression
Linear Regression
Quadratic Regression Exponential Regression
r = .8891
r = .6245
R2 = .9867
r = .8756
Which regression model would best fit the data in the scatter plot?
A)
B)
C)
D)
38.
?
y = -5
x = -4
y=5
x=4
Given
A)
B)
C)
D)
. What is
Exponential
Linear
Power
Quadratic
“As the temperatures increases, the amount of snow that remains on the
ground decreases.” What type of correlation is presented?
A)
B)
C)
D)
negative
zero
positive
neutral
39.
Given the scatterplot below, which regression model would you use to fit the data?
A)
B)
C)
D)
power
linear
exponential
quadratic
Given the data below, perform an
exponential regression on the following data and answer question 40.
X
Y
40.
2
2.88
3
3.47
4
4.15
5
4.98
6
7.17
y =1.94*1.22x
y=1.22*1.94x
y=1.94+1.22x
y=1.94+1.22x2
What is the domain of the relation displayed below?
A)
B)
C)
D)
42.
1
2.4
What is the equation of the curve of best fit?
A)
B)
C)
D)
41.
0
2
{x/x> 2}
{x/x>2 }
{y/y>2}
{x/x 0 R}
The graph below is a transformation of y = x2. What equation may be a possible
equation for the graph displayed below?
43.
Given the graph below, what is the value of F(2) ?
A)
B)
C)
D)
-5
-2
1
2
44.
For the mapping rule (x,y)6 (x+4, -y - 6), what is the equation of the parabola described?
45
Which statement is true about the graph below?
A)
B)
C)
D)
46
the domain is {x/x0R}
the range is {y/y >1 }
the graph is a function
the graph is not a function
If F(x) = 2x - 7, for what value of x will F(x) = 0 ?
A)
B)
-7
-3.5
C)
D)
47
3.5
If F(x) =
A)
B)
C)
D)
-7
-6
5
7
, what is F(-1) ?
48
After performing a linear regression, you have determined that all ten ordered pairs lie on
the line of best fit. What is more likely the value of r for the regression model used?
A)
B)
C)
D)
49
Under the mapping rule of (x,y) 6(x-2, -3y+1), where would the vertexx of
y=
become?
A)
B)
C)
D)
50
.-5
close to 0
.5
1
(0,0)
(-2,-3)
(-2,-2)
(-2,1)
Which statement is true for the parabola given below?
A)
B)
C)
D)
the vertical stretch factor is 3
this graphs moves y = x2 six units up and 1 unit left
the vertex is (-1,6)
the parabola opens downwards
Part II
Candidates are asked to show all workings for full merit in this section of the exam. Please be
aware of choice in the indicated sections. Should a candidate answer all questions in a choice
section, the first number of the required amount will ne marked.
1
Solve for x in 2 of the following equations.
A
C
{6}
B
2
Solve for x in 3 of the following equations by factoring.
A
B
C
D
{9}
3
Write the equation of the line that contains the points (-2,6) and (8,2).
{3}
4
Graph the following lines and find the point of intersection. Be sure to label the axis
correctly.
{4}
5
A computer technician charges $30.00 to diagnose a problem. Once he has diagnosed the
problem, he charges $17.50 per hour to fix it. If he charges one of his customers $105,
how may hours did he spend fixing the computer. (Write an equation first, then solve
it.)
{3}
6
The table below lists the lengths and areas of rectangles that can be
produced with 40 m of rope.
Length
2
4
6
8
10
12
14
16
18
Area (m2)
36
64
84
96
100
96
84
64
36
A
Construct a scatter plot from the table above
{3}
B
Using your T-83, find the curve of best fit to model this data. (Use f (x) notation.)
{2}
C
Find the area when the side length is 7.5 m
{1}
7
Use the following graph to answer the questions below. The graph shows the amount of
money gambled by Mr. Cramm during a one night stay at the MGM Grande Hotel and
Casino in downtown Las Vegas, Nevada.
A
How much money did he start with? finish with?
Start
B
{1}
Finish
What was the maximum amount of money he had at any
one time during the night?
{1}
Maximum
C
What do the slopes of the graph mean?
{2}
D
During what time did he lose the most money? What was the
slope of the line?
{2}
Time
Slope
8
a
C)
x
y
Using the image of
and the mapping relationship below answer the
following:
A)
write the functional form of
the equation;
{1%}
B)
list a table of values that
includes the vertex; {2}
using your table in B, graph the function below showing the vertex and axis of symmetry
.
{3}
9
Given the equation
A
, answer the following:
write the equation in functional form;
{1}
________________________
B
write the mapping rule;
{1}
_________________________
C
display a table of values that includes the vertex;
{1}
x
y
D
graph the function below indicating the vertex and axis of symmetry;
{3}
E
Describe the transformational image in words.
{1}
END
DO NOT OPEN THE EXAMINATION PAPER UNTIL
YOU ARE TOLD BY THE SUPERVISOR TO BEGIN
MATHEMATICS 1204
Menihek Highschool Midterm Examination
January, 2003
Value: 100 marks
Time: 2 hours
GENERAL INSTRUCTIONS
1.
Candidates are required to do all items. Some internal choice is allowed in Part II, Section
B.
2.
The examination consists of the following parts:
PART I 50 multiple choice 50%
PART II Constructed response 50%
3.
Answers to multiple choice items are to be given on the answer sheet provided. All other
items are to be answered in this paper.
4.
For Part II Items, candidates are reminded to show all necessary steps and calculations as
credit may be given for incomplete or partially correct solutions. Correct answers without
calculations will not merit full marks.
5.
Be sure NOT to staple part I and II together.
REGULATIONS FOR CANDIDATES
Candidates are expected to be thoroughly familiar with all regulations pertaining to their
conduct during the examinations. These were explained by the chief supervisor prior to the first
session, and have been posted for further reference near the entrance to the examination room.
Candidates should ensure that they understand and comply with all requirements governing the
following matters:
- Materials required
- Materials not permitted
- Models of calculators permitted
- Use of pen or pencil
- Communication and movement during the examination
- Punctuality
- Leaving the room
- Use of answer booklets
- Completion of required information
- Use of unauthorized means, and penalties
Name:_________________________________ Teacher_____________