1.
Use the scatter plot to predict the mileage of an engine with 250 horsepower.
A.
20
B.
12
C.
25
D.
10
Hint
2.
What is the slope of the line through the points
A
(-3, 4) and
B
(2, -1)?
A.
-3
B.
-1
C.
D.
1
Hint
3.
The graph of a linear function is _______.
A.
None of these is correct
B.
a curved line
C.
a horizontal line only
D.
a straight line
Hint
4.
The graph of
y
= -4
x
2
- 1 is _____.
A.
a straight line
B.
a circle
C.
None of these is correct.
D.
a parabola
Hint
5.
What is the equation of the graph shown?
A.
y
= -
x
2
+2
x
- 1
B.
y
=
x
2
+ 2
x
+ 1
C.
y
=
x
2
- 2
x
+ 1
D.
y
= -
x
2
- 2
x
- 1
Hint
6.
What is the equation of the graph shown?
A.
f
(
x
) = -2
x
2
+ 2
x
+ 1
B.
f
(
x
) = 2
x
2
+ 2
x
+ 1
C.
f
(
x
) = 2
x
2
- 2
x
+ 1
D.
f
(
x
) = -2
x
2
+ 2
x
- 1
Hint
7.
Find the equation that is nonlinear.
A.
y
= 14 + 6
x
B.
y
= 4
y
2
C.
y
= –3
x
– 1
D.
y
= 8 –
x
Hint
8.
Find the table that represents a graph with direct variation.
A.
B.
C.
D.
Hint
9.
Pam's mother gives Pam $20 each week for lunch to be bought at the school cafeteria. Lunches cost $4 per day. Draw a graph showing the amount Pam has left decreasing very slowly. Suppose you graph the time in days on the horizontal axis and the amount Pam has left on the vertical axis.
A.
B.
C.
D.
Hint
10.
What is the equation of a line that has a slope of –1 and passes through (–2, 0)?
A.
y
= –
x
– 1
B.
y
= –
x
– 2
C.
y
= –
x
+ 2
D.
y
= –2
x
+ 1
Hint
11.
Which way does the graph of
y
= –2
x
2
open?
A.
down
B.
right
C.
up
D.
left
Hint
12.
What is the lowest point on the graph of
y
=
x
2
+ 2?
A.
(0, 0)
B.
(0, –2)
C.
(2, 0)
D.
(0, 2)
Hint
13.
How many diagonals are connected to each vertex for a 25-sided polygon?
A.
20
B.
21
C.
22
D.
25
Hint
14.
Which equation is in the same family as
y
=
x
2
?
A.
y
=
x
2
– 3
B.
y
=
x
3
– 3
C.
y
= 2
x
2
– 3
D.
y
= 2
x
– 3
Hint
15.
Find the equation of the graph below.
A.
y
= (
x
- 3)
2
B.
y
= (
x
+ 3)
2
C.
y
=
x
2
+ 3
D.
y
=
x
2
– 3
Hint
16.
Find the cubic equation.
A.
y
=
x
2
+ 5
B.
y
=
x
(
x
3
+ 1)
C.
y
= 3
x
D.
y
= 5
x
3
+ 2
x
Hint
17.
What is the new equation if the graph
y
= 2
x
3
– 6
x
2
is moved down 1 unit?
A.
y
= 2
x
3
– 5
x
2
B.
y
=
x
3
– 6
x
2
C.
y
= 2
x
3
– 6
x
2
+ 1
D.
y
= 2
x
3
– 6
x
2
– 1
Hint
18.
How does
b
affect graphs of equations in the form of
?
A.
positive values of
b
move the graph to the left, negative values move it to the right
B.
b
affects the length of the graph
C.
negative values of
b
move the graph to the left, positive values move it to the right
D.
b
affects the width of the graph
Hint
19.
What type of relationship does the equation have if its second differences are constant?
A.
linear
B.
quadratic
C.
cubic
D.
constant
Hint
20.
What is the relationship between constant second differences and the coefficient of the equation?
A.
the second difference is opposite the coefficient
B.
the second difference is 2 times the coefficient
C.
the second difference is –2 times the coefficient
D.
the second difference is the same as the coefficient
Hint