Name____________________________
Date:________ Per:______
Part 1
Answer all questions in this part. Each correct answer will receive 2 credits. No partial credit will
be allowed. Record your answers to this part on the lines provided.
_____ 1) The expression
(1) 9 and 10
93 is a number between which two consecutive integers?
(2) 3 and 9
(3) 46 and 47
(4) 8 and 9
(3) 15 10
(4) 5 6
(3) 6 2
(4) 6 8
_____ 2) The expression 150 can be simplified to
(1) 6 5
(2) 25 6
_____ 3) Which expression is equivalent to 3 72 ?
(1) 12 2
(2) 18 2
4) State whether each of the following numbers are rational (R) or
irrational (I). (1 point each)
a) 0.31311311131111… __________
b) 0.05050505…
__________
__________

2
__________
d) –6
e) 0.46
__________
f)
c)
11
__________
g)
81
__________
h)
1
3
__________
Part 2
Answer all questions in this part. Each correct answer will receive the number of credits indicated.
Clearly indicate the necessary steps, including appropriate formula substitutions, diagrams, graphs,
charts, etc. For all questions in this part, a correct numerical answer with no work shown will
receive only 1 credit.
5) Simplify: 2 98
(2 points)
5) _______________
6) Simplify:
 5 
60

(3 points)
6) _______________
7) 3 5  8 30
(4 points)
7) ______________
8)
6 32
2 8
(4 points)
8) ______________
9) Simplify: 3 96  7 24
(3 points)
9) ______________
10) Simplify: 5 8  2 18
(3 points)
10) ______________

11) Simplify: 3 2 2 8  5 2

(5 points)
11) ______________

12) Simplify: 6 2 2 10  5 2

(5 points)
12) ______________
13) Rationalize the denominator and simplify if possible:
5
6
(3 points)
13) ______________
14) Rationalize the denominator and simplify if possible:
8
2
(4 points).
14) ______________