Download Algebra II CP

Algebra II CP
6.1 – 6.3 Quiz Review
Name: _________________________
You may use ONLY a Scientific Calculator  THIS MEANS FIND ONE FOR THE QUIZ!
Evaluate the following expressions. All work must be shown to receive full credit!
1.
4. 4
7.
3

2.
8
1
2
3
 27x
5. 16
a6 256a 5
7
3. 4
3
2
5
2
1
6. (125) 3
8. 5 63
9.
3
16 x 5 y 4
Simplify the following expressions. No radicals in the denominator or negative exponents!
1
3
10. a a
13.
2
3
11. x

1
4
3
4
y x
2
1
2m 3
xa 3
4m
14.
1
2
 71 71 
16.  2 a 


a
3
17.

12.
4
x4
y3
 1
15.  2 x 4 


2
3
 24
 4
3
3
4




2
1
4
18.
40 3
2

2
3
2
Solve the following equations. Round answers to nearest tenth when necessary.
19. x3 = 125
20. 5x3 = 1080
21. x6 - 4 = 60
(x – 2)4 = 16
22.
23.
(x + 10)3 = 27
24.
3x4 = 61
Simplify the following expressions. You must show work to receive full credit.
3
625
25.  2 3 7 3
26. 2 15 4 21
27.
3
25



28.
2
31.
123 3  43 3
4

32  34 162


1
4
29.
32.
4


2ab 2  6a 3 b 2
30. 3x 7  6x 7
32a 5  3a4 2a
33.
6x 5  5 x 5  12x 125
1
4
Let f  x   2 x and g  x   3 x . Perform the indicated operation and state the domain.
Leave all answers in RADICAL form.
34. Domain of f(x):___________________
35. Domain of g(x):______________
36. f(x) + g(x)
37. f(x) – g(x)
38. f(x) + f(x)
36.___________________
Domain:__________
37.___________________
Domain:__________
38.__________________
Domain:_________
2
3
1
Let f  x   3 x and g  x   2 x 2 . Perform the indicated operation and state the domain. Leave
all answers in RADICAL form.
39. Domain of f(x):___________________
40. Domain of g(x):______________
f x 
g x 
41. f x   g x 
42.
41.___________________
Domain:__________
42.___________________
Domain:__________
Let f  x   x 1 and g  x   3 x  1 and h x  
43. f x   f x 
43.__________________
Domain:_________
x 2
. Perform the indicated operation and, for
5
#50-55, state the domain.
DOMAINS of original functions:
44. f(x):________________
45. g(x):______________
46. h(x):________________
47. f(g(2))
48.
49.
47.___________________
48.___________________
49.__________________
50. f(g(x))
51.
52.
50.___________________
Domain:__________
51.___________________
Domain:__________
52.__________________
Domain:_________
53. g(f(x))
54.
55.
53.___________________
Domain:__________
54.___________________
Domain:__________
g(h(7))
f(h(x))
h(f(x))
h(f(6))
g(h(x))
h(g(x))
55.__________________
Domain:_________
Algebra 2 CP
Answer Key
Review for Quiz 6.1-6.3
1.
7.
2
2a
6
13.
6
4a
m
2
5
2.
 3x 2 3 x
3.
32
4.
1
2
5.
1
64
8.
15 7
9.
2 xy3 2 x 2 y
10.
a
11.
14.
x(3 a 2 )
a
15.
4 x
16.
7
8a 3 17.
3
2
18.
43 100
24.
 2.1
4
y3
x
6.
5
20.
6
21.
2
22.
0 or 4 23.
-7
25.
-42
26.
24 35
27.
3
25
28.
364 4 29.
2a 2 b 2 3
30.
9x 7
31.
83 3
32.
5a 4 2a
33.
 49x 5
35.
[0, )
36.
 4 x ; domain: [0, )
37.
54 x ; domain: [0, )
38.
44 x ; domain: [0, )
39.
domain: ( , )
41.
6 x6 x ; domain: [0, )
42.
36
x ; domain: (0, )
2
43.
9 x 3 x ; domain: ( , )
44.
(,0) U (0, )
47.
1
5
51.
5
; domain: (,2) U (2, )
x2
52.
3 x  11
; domain: ( , )
5
53.
3
 1 ; domain: (,0) U (0, )
x
54.
1 2
 ; domain: (,0) U (0, )
5x 5
55.
3x  3
; domain: ( , )
5
48.
2
49.

11
30
x4y
12.
19.
40.
-5
y
34. [0, )
domain: [0, )
45.
( , )
50.
1
1
; domain: x 
3
3x  1
46.
( , )