Algebra II Final Exam

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Algebra II – Final Exam
2009-2010
REVIEW
1.
What is the vertex of the graph of y 
A.
2.
3.
6.
(2, 6)
C.
(-2, -6)
D.
(4, 7)
E.
(-2, 6)
2
E.
 2
E.
9 2
2
A.
( x  8)( x  2)
B.
( x  4)( x  4)
C.
( x  8)( x  2)
D.
( x  4)( x  4)
E.
( x  8)( x  2)
C.
2 2
What are the solutions of 2 x  3  13?
2
 2
B.
2 2
What is the simplified form of the expression
A.
5.
B.
What is a correct factorization of x  6 x  16 ?
A.
4.
(0, 7)
1
( x  2) 2  6 ?
4
3 18
B.
3 54
D.
162 ?
9 18
C.
D.
What does the product (5  2i )(3  7i ) equal?
A.
 15  14i 2
B.
 1 41i
C.
 29  41i
D.
 1 41i
E.
 29  41i
What is the factorization of f ( x)  2 x  x  5 x  2 ?
3
2
A.
( x  2)( 2 x  1)( x  1)
B.
( x  2)( 2 x  1)( x  1)
C.
( x  2)( 2 x  1)( x  1)
D.
( x  2)( 2 x  1)( x  1)
E.
( x  2)( 2 x  1)( x  1)
3 54
7.
8.
9.
What are all the rational zeros of f ( x)  x  3x  13x  15 ?
3
A.
-3, -1, 5
B.
-3, 1, 5
C.
-5, -1, 3
D.
-5, 1, 3
E.
-1, 3, 5
What are all the real zeros of f ( x)  x  2 x  x  4 ?
4
3
2
A.
 2,  1
B.
 2, 1
C.
 1, 2
D.
1, 2
E.
 1,  2
How many zeros does the function f ( x)  3x  2 x  7 x  5 have?
4
A.
10.
2
1
B.
2
C.
3
3
D.
4
E.
5
Which quadratic function in vertex form has a graph with the vertex (3,6) and passes
through the point (2,31) ?
A.
y  ( x  3) 2  6
B.
y  ( x  3) 2  6
C.
y  ( x  3) 2  6
D.
y  ( x  3) 2  6
E.
y  ( x  3) 2  6
2
11.
 2 x 3 
What is the simplified expression of   4  ?
 3y 
A.
2x6
3 y8
B.
3 y8
2x6
C.
9 y6
4 x5
D.
9 y8
4x6
E.
9x6
4 y8
12.
What is the value of f ( x)  8 x  6 x  5 x  10 x  9 x  1 when x  1 ?
5
A.
13.
14.
11
B.
4
-9
3
C.
2
7
D.
-11
E.
19
E.

What is the result of dividing 3x  7 x  5 by x  1?
3
2
A.
3 x 2  10 x  10 
15
x 1
B.
3x 2  4 x  4 
1
x 1
C.
3x 2  10 x  10 
15
x 1
D.
3x 2  4 x  4 
9
x 1
E.
3x 2  4 x  4 
9
x 1
Which cubic function is graphed?
A.
1
f ( x)  ( x  1)( x  2)( x  4)
3
B.
1
f ( x)   ( x  1)( x  2)( x  4)
3
C.
1
f ( x)  ( x  1)( x  2)( x  4)
3
D.
f ( x)  3( x  1)( x  2)( x  4)
E.
1
f ( x)  ( x  1)( x  2)( x  4)
3
Y
2
2
X
● (2, -8)
1
15.
What is the value of  64 3 ?
A.
4
B.
4
C.
1
4
D.

1
4
1
4
16.
17.
Which of the following is an exponential decay function?
A.
2
f ( x)  4 
3
C.
2
f ( x)  7 
5
E.
8
f ( x)  8 
 3
B.
f ( x)  3 x
D.
f ( x)  2(5)  x
x
x
What is the simplified form of 5e  (2e ) ?
8
A.
18.
x
 10e 40
B.
3 2
 20e 2
C.
20
e2
D.
20
e 48
E.
10
e2
C.
0.807
D.
-12.099
E.
8.099
What is the approximation of log 1 28 ?
2
A.
19.
B.
-4.807
What is the condensed expression for 3 log x  log 2 ?
A.
20.
-0.208
x3
log
2
3
C.
log 2 x
E.
log  2 x 3
What is f (3) where f ( x) 
B.
log 2 x 3
D.
x 3
log
2
50
?
1  7e  x
A.
0.3342
B.
0.3487
C.
0.3531
D.
0.3672
E.
0.3915
21.
x 2  7 x  44 x 2  17 x  72
What is the product 2
?

x  6 x  16 x 2  2 x  99
A.
22.
C.
B.
0
x4
x2
D.
x  11
x9
E.
x8
x2
x2
B.
x 2
C.
6
D.
2
E.
-6
C.
4.096
D.
4.099
E.
4.102
x2
D.
1
x2
E.
x 1
x2
D.
-3
E.
-4, -3
 3  32 ?
4.092
x 2  3x  10 x  1
?

x2  6x  5 x2  4
B.
1
x2
C.
What are all the solutions of the equation
A.
26.
4.085
What is the product
A.
25.
-2
What is the solution of 5
A.
24.
x2
x4
B.
What is the solution of log4 (2 x  7)  log4 (3x  13) ?
A.
23.
x9
x2
3, 4
B.
What is the difference
A.
x 2  x  15
( x  3) 2 ( x  3)
C.
x 2  15
( x  3) 2 ( x  3)
E.
x 2  15
( x  3) 2 ( x  3)
-3, 4
6
x
 ?
x7 2
C.
-4
x4
1

?
x2  6x  9 x2  9
B.
x 2  x  15
( x  3) 2 ( x  3)
D.
x 2  15
( x  3) 2 ( x  3)
27.
What is the solution of the equation
A.
28.
15
B.
What is the value of 25
A.
 125
B.
-2
3
2
6 2
4
  ?
x 3
x
C.
-15
D.
3
C.
125
D.

E.
6
E.

?
1
125
1
125
1
125
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