1.
Simplify
A.
B.
C.
D.
Hint
2.
Simplify
.
A.
B.
C.
D.
Hint
3.
Find
.
A.
B.
C.
D.
Hint
4.
Solve
.
A.
1 or 4
B.
-2
C.
4
D.
0
Hint
5.
Find the difference:
A.
3
x
2
- 7
x
- 5
B.
-3
x
2
- 7
x
- 5
C.
-3
x
2
+
x
- 5
D.
-3
x
2
- 7
x
+ 1
Hint
6.
Find the value of
c
that makes
x
2
+ 16
x
+
c
a perfect square.
A.
8
B.
16
C.
-64
D.
64
Hint
7.
Find (
x
+ 7)(2
x
+1).
A.
2
x
2
+ 14
x
+ 7
B.
2
x
2
+ 9
x
+ 7
C.
2
x
2
+ 7
x
+ 7
D.
2
x
2
+ 15
x
+ 7
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.
Find the equation of the following graph.
A.
y
=
x
3
B.
y
=
C.
y
=
x
2
D.
y
=
Hint
10.
How many counterexamples are needed to prove a conjecture wrong?
A.
3
B.
4
C.
1
D.
2
Hint
11.
Use an exponent to write 177,147 as a power of 3.
A.
3
19
B.
3
9
C.
3
11
D.
3
17
Hint
12.
Which equation represents exponential growth?
A.
y
= 250 × 0.4
c
B.
y
= 250 × 4
x
C.
y
= 250 × 0.25
x
D.
y
= 250 ·
x
Hint
13.
Find a solution to the equation using backtracking.
A.
n
= –89
B.
n
= 10
C.
n
= –100
D.
n
= –12
Hint
14.
Find a solution to the equation using backtracking.
A.
c
= 8
B.
c
= –14
C.
c
= –1
D.
c
= 2
Hint
15.
How could you use the graph of
h
= 20
t
– 6
t
2
to estimate the solution(s) of 20
t
– 6
t
2
= 7, where
h
stands for height and
t
stands for time?
A.
Draw a horizontal line at
h
= 7 and find where it intersects the curve.
B.
Draw a horizontal line at
h
= 20 and find where it intersects the curve.
C.
Draw a vertical line at
t
= 20 and find where it intersects the curve.
D.
Draw a vertical line at
t
= 7 and find where it intersects the curve.
Hint
16.
A ball is launched straight up from ground level modeling the equation
h
= 52
t
– 10
t
2
, where
h
stands for height in meters and
t
stands for time. On its way up, it reached a particular height at 1 second. On its way down, it again reached the same height. At approximately what time did it reach that height the second time?
A.
4.2 seconds
B.
5.2 seconds
C.
2.0 seconds
D.
3.5 seconds
Hint
17.
Find the angle of rotation that is the same as 70°.
A.
–170°
B.
–70°
C.
–290°
D.
170°
Hint
18.
Multiply the pair of binomials.(
y
+ 2)(
y
– 6)
A.
y
2
+ 4
y
– 12
B.
y
2
+ 4
y
+ 12
C.
y
2
– 4
y
+ 12
D.
y
2
– 4
y
– 12
Hint
19.
Give the approximate solutions of this equation.(2
z
– 3)
2
– 31 = 33
A.
z
= –2.5 and
z
= 5.5
B.
z
= –2.5 and
z
= –5.5
C.
z
= 2.5 and
z
= –5.5
D.
z
= 2.5 and
z
= 5.5
Hint
20.
Rewrite the expression as a product of two binomials.
x
2
–
x
– 56
A.
(
x
– 7)(
x
– 8)
B.
(
x
+ 7)(
x
– 8)
C.
(
x
+ 7)(
x
+ 8)
D.
(
x
– 7)(
x
+ 8)
Hint