1.
In the expression 2
3
, 2 is called the _____.
A.
square root
B.
base
C.
perfect square
D.
exponent
Hint
2.
Evaluate the expression –2
a
3
+ 3
z
2
if
a
= –3 and
z
= 2.
A.
66
B.
-42
C.
-180
D.
252
Hint
3.
Simplify 2
4
· 2
3
.
A.
2
12
B.
2
7
C.
4
7
D.
2
1
or 2
Hint
4.
Write 7
-2
using positive exponents.
A.
B.
C.
D.
Hint
5.
Simplify the expression
c
-1
d
.
A.
B.
C.
D.
Hint
6.
The rule for multiplying by powers of 10 states that if the exponent of the 10 is positive, then you move the decimal point __________.
A.
to the right by the number of spaces as the number in the exponent minus 1
B.
to the left by the same number of spaces as the number in the exponent
C.
to the right by the number of spaces as the number in the exponent plus 1
D.
to the right by the same number of spaces as the number in the exponent
Hint
7.
Simplify
.
A.
B.
C.
D.
Hint
8.
To determine the speed of a vehicle involved in an accident, police officers use the formula
. In the formula,
s
is the speed in miles per hour,
d
is the length of the skid marks in feet, and
f
is the friction factor. Suppose for a particular accident
d
= 45 feet and
f
= 0.8. What was the approximate speed of the vehicle?
A.
84 miles per hour
B.
198 miles per hour
C.
33 miles per hour
D.
14 miles per hour
Hint
9.
Refer to the diagram below. A square with a side length of 6 inches is shown. Find the length
d
of the diagonal. Round to the nearest tenth of an inch, if necessary.
A.
6 in.
B.
12 in.
C.
17.0 in.
D.
8.5 in.
Hint
10.
Simplify the expression
.
A.
d
5
e
2
B.
d
11
e
2
f
8S
C.
d
11
e
2
f
D.
d
5
e
2
f
Hint
11.
Evaluate the expression
.
A.
40,000
B.
0.004
C.
4,000
D.
0.0004
Hint
12.
Estimate the square root
.
A.
49
B.
8
C.
64
D.
7
Hint
13.
Estimate the square root
.
A.
169
B.
14
C.
13
D.
196
Hint
14.
Determine if the triangle is a right triangle. Explain.
A.
Yes; the sum of the squares of the lengths of the legs is equal to the square of the hypotenuse.
B.
Yes; the sum of the lengths of the legs is equal to the length of the hypotenuse.
C.
No; the sum of the lengths of the legs is not equal to the length of the hypotenuse.
D.
No; the sum of the squares of the lengths of the legs is not equal to the square of the hypotenuse.
Hint