# Pythagorean Theorem & Trigonometry Quiz

```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
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
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) ______________
```