Test Algebra II
Chapter 7 – B
Name:_____________
Date:__________
Period:______
Simplify. Make sure to rationalize denominators. All exponents must be positive and reduced for full credit.
1. x
16
576 y
25 2.
3
54 c
9 d
13
3. 
3 8 x
2 y
7 
2 xy
1._________
(+2)
2._________
(+2)
3._________
(+2)
4.
200 c
7 d
10
5.

3 12

2

2 6.
5 3 54

4 3 16
10 c
11 d
6
4._________
(+2)
5._________
(+2)
7.
3 150

7 24
8. 7

3

6
2
9.
3
6._________
(+2)
14

1
3 2
7._________
(+2)
8._________
(+2)
9._________
(+2)

10.

36 x
8 y

4 z
16

2
1
11.

 a
1
3 b 8
5 


 a

1
3 b
1
2


10._________
(+2)
11._________
(+2)
17.
12.

8 x
4 y
8
5 x

6 y
6

15 x
4 y
3
4 x
4 y
5
13.



 a
3
8 b
 c
1
4
5
6


24
14.
27
4
3
12._________
(+3)
13._________
(+3)
14._________
(+2)
Solve and check for extraneous solutions:
15. x

5

8
16.
3 x

1

9

6
15._________
(+3)
16._________
(+3) x

3
 x

5
17._________
(+3)

Find the composite function or its value given that f ( x )
 x
2  x
and g ( x )

5 x

2
18.  f  g
 
18._________
(+2)
19. f ( f ( 3 ))
19._________
(+2)
20.  g  f

( x )
20._________
(+3)
21. Find f

1
( x )
. State whether or not the inverse is a function. f ( x )
 
3 x

5

2
21._______________
(+4)
Function: Yes or No

Graph. Make sure to list all tables including the parent function.
(+5 points each)
22. y
 
3 x

2

4
23. y

3 27 x

54
EXTRA CREDIT:
1. What is the next figure or symbol in the sequence on the board in front? Draw it.
2. Dee Septor, the famous magician, was bragging about his marksmanship. He claimed to be able to hang up his hat, walk 59 meters blindfolded, then turn and shoot a bullet right through his hat. Since Dee Septor could not see through his blindfold, how could he manage this feat?
3. What is one thing that all wise men, regardless of their religion or poilitics, agree is between heaven and earth?