Math 1005 Section 003
Practice Exam 1 – Chapter R
Carefully read all directions and show ALL work. No credit will be given for answers without
supporting work. Partial credit may be given for correct steps, even without a correct conclusion!
No calculators allowed.
1) Give an example of an integer that is not a natural number.
2) Perform the indicated operation:
a)
b)
( )
c)
(
)
2) Write in decimal form:
3) Write in scientific notation:
4) Simplify:
(
5) Simplify:
(
(
)(
)
)
)
6) Express using only positive powers:
a)
b)
(
c)
(
)(
)
)
7) Simplify and express using positive exponents only:
a)
b)
( √
(
)( √ )
⁄
⁄
)
⁄
8) Write in simplified radical form:
a)
√
b)
√
9) Rationalize the denominator and write in simplified radical form.
a)
b)
√
√
√
√
√
10) For the following, indicate whether it is a polynomial. If it is, give its degree.
a)
b)
c)
d)
√
11) Perform the indicated operations and simplify.
a)
(
)
b)
(
) (
c)
(
)
(
(
)
)
12) Factor completely, relative to the integers.
a)
b)
c)
d)
)
13) Factor completely, relative to the integers:
a)
b)
14) Perform any indicated operations and reduce to lowest terms:
a)
b)
c)
d)
(
)
e)
f)
g)