1.
Which pair of lines graphed below are parallel?
A.
l
and
m
B.
k
and
m
C.
k
and
n
D.
l
and
n
Hint
2.
Simplify (7
a
4
b
) (8
a
7
b
6
).
A.
56
a
28
b
6
B.
15
a
28
b
6
C.
56
a
11
b
7
D.
15
a
11
b
7
Hint
3.
Determine whether the number
is rational or irrational.
A.
neither
B.
rational
C.
both
D.
irrational
Hint
4.
If a rocket is fired from the ground with an initial velocity of 75 meters per second, then the height of the rocket after
t
seconds is
h
= 75
t
- 4.9
t
2
. Find the height of the rocket after 3 seconds.
A.
221.6 meters
B.
130.4 meters
C.
252.5 meters
D.
180.9 meters
Hint
5.
Which characteristic describes a graph that is linear and has direct variation.
A.
The equation has the form
y
=
mx
.
B.
The equation has the form
y
=
mx
+
b
.
C.
The graph does not pass through (0, 0).
D.
Variables
x
and
y
are not proportional.
Hint
6.
Find the equation that has direct variation.
A.
y
= –3
x
– 1
B.
y
= 5
x
+ 1.3
C.
y
= 4
x
D.
y
= 0.8
x
+ 9
Hint
7.
Find the situation that involves a decreasing linear relationship and has direct variation.
A.
The temperature that begins at 0°
F
at 6:00 a.m. rises 3°
F
every hour for 6 hours.
B.
A submarine that begins at the bottom of the ocean and is raised to the surface of the water at 15 meters per second.
C.
An airplane that begins at 20,000 feet and descends for a landing on the ground at the airport.
D.
A bucket that begins at ground level and is lowered into a well at a rate of 1 foot per second.
Hint
8.
Find the graph that is nonlinear.
A.
B.
C.
D.
Hint
9.
Find the table that represents a graph with direct variation.
A.
B.
C.
D.
Hint
10.
What is the equation of a line that has a slope of 3 and passes through (–4, –3)?
A.
y
= 3
x
– 3
B.
y
= 3
x
+ 9
C.
y
= 3
x
+ 3
D.
y
= 3
x
– 9
Hint
11.
What is the reciprocal of
?
A.
B.
C.
D.
Hint
12.
What is the reciprocal of –20? Evaluate it in decimal form.
A.
–0.02
B.
–0.50
C.
–0.20
D.
–0.05
Hint
13.
Consider the equation
. What happens to the value of
y
when
x
is divided by 4?
A.
y
is divided by 4
B.
y
is added to 4
C.
y
is multiplied by 4
D.
y
is subtracted from 4
Hint
14.
What is a conjecture?
A.
an educated guess that hasn't been proved yet
B.
a ''shot in the dark'' guess that hasn't been proved yet
C.
a ''shot in the dark'' guess that has been proved
D.
an educated guess that has been proved
Hint
15.
What are the second differences in the
y
-values?
A.
0
B.
–1
C.
2
D.
1
Hint
16.
How many counterexamples are needed to prove a conjecture wrong?
A.
4
B.
1
C.
2
D.
3
Hint
17.
The population of fish in Mark's lake is 500 this year. If the population increases by 6.9% a year, what number can Mark multiply this year's population by to estimate the fish population in the lake next year?
A.
1.069
B.
6.9
C.
1.69
D.
0.0931
Hint
18.
Which curve represents exponential decay?
A.
curve
d
B.
curve
c
C.
curve
b
D.
curve
a
Hint
19.
Which equation represents exponential decay?
A.
y
= 63 × 4
x
B.
y
= 63 × 0.4
x
C.
y
=
· 63
x
D.
y
= 63 × 4.4
x
Hint
20.
Find the table that does not represent an exponential equation.
A.
B.
C.
D.
Hint