1.
Use substitution to solve the system of equations given below.
8
x
- 4
y
= 16
2
x
-
y
= 4
A.
(2, 0)
B.
(0, -4)
C.
infinitely many solutions
D.
no solution
Hint
2.
Select the segment that has been bisected.
A.
B.
C.
D.
Hint
3.
Evaluate (3.2 × 10
-5
)(5.4 × 10
9
). Express the result in scientific notation.
A.
1.728 × 10
3
B.
1.728 × 10
5
C.
17.28 × 10
4
D.
0.1728 × 10
6
Hint
4.
State the excluded values of
a
and
b
in the expression
.
A.
B.
C.
D.
Hint
5.
Find
.
A.
B.
C.
D.
Hint
6.
Simplify
.
A.
B.
C.
D.
Hint
7.
Which characteristic describes a graph that is linear and has direct variation.
A.
The equation has the form
y
=
mx
+
b
.
B.
The graph does not pass through (0, 0).
C.
The equation has the form
y
=
mx
.
D.
Variables
x
and
y
are not proportional.
Hint
8.
Michael just got a job mowing his elderly neighbor's lawn paying him $10 each week. Draw a graph showing the amount he receives is increasing very rapidly. Suppose you graph the time in weeks on the horizontal axis and the amount Michael receives on the vertical axis.
A.
B.
C.
D.
Hint
9.
Which way does the graph of
y
= –2
x
2
open?
A.
down
B.
right
C.
up
D.
left
Hint
10.
Describe the location of the line of symmetry of the graph of
y
=
x
2
– 2.
A.
the line
y = x
B.
there is no line of symmetry
C.
the vertical axis
D.
the horizontal axis
Hint
11.
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
– 3
D.
y
= 2
x
2
– 3
Hint
12.
Solve for
y
in terms of
x
.
xy
= 100
A.
y
=
B.
x
=
C.
y
= 100
x
D.
y
=
Hint
13.
How does
b
affect graphs of equations in the form of
?
A.
b
affects the length of the graph
B.
negative values of
b
move the graph to the left, positive values move it to the right
C.
positive values of
b
move the graph to the left, negative values move it to the right
D.
b
affects the width of the graph
Hint
14.
What type of relationship does the equation have if its first differences are constant?
A.
linear
B.
quadratic
C.
constant
D.
cubic
Hint
15.
Find a solution to the equation using backtracking.
A.
c
= 8
B.
c
= –14
C.
c
= –1
D.
c
= 2
Hint
16.
Find the angle of rotation for the following figure.
A.
–90°
B.
–30°
C.
150°
D.
30°
Hint
17.
Find the correct representation of a translation.
A.
B.
C.
D.
Hint
18.
Andy drew a 6.3 cm line on his paper. He then decided to make it larger by a scale of 1.5. How long is his new line?
A.
9.45
B.
7.8
C.
4.8
D.
4.2
Hint
19.
If you want to scale a segment by a factor of 8, how long will the new segment be?
A.
of its original size
B.
64 times its original size
C.
80% of its original size
D.
8 times its original size
Hint
20.
Expand the expression.(6
p
– 7)
2
A.
36
p
2
– 84
p
+ 49
B.
36
p
2
– 49
C.
36
p
2
+ 84
p
– 49
D.
36
p
2
+ 49
Hint