Transcript 2007 Algebra II Released Test

Algebra II
2007 Released Test
1. Which is a simplified form of the following
expression?
25%
1
25%
25%
2
3
4
5
D
C
B
A
B
C
D
A
1.
2.
3.
4.
25%
2. Which is true statement?
1
2
3
4
5
25%
J
25%
H
25%
G
F
G
H
J
F
1.
2.
3.
4.
25%
3. Which is equivalent to the following
expression?
1
2
3
4
5
25%
25%
D
25%
C
25%
B
A
B
C
D
A
1.
2.
3.
4.
4. If no denominator is equal to zero, which is a
simplified form of the following expression?
1
2
3
4
5
25%
25%
J
25%
H
25%
G
F
G
H
J
F
1.
2.
3.
4.
5. Which is equivalent to
1
2
3
4
5
25%
25%
D
25%
C
25%
B
A
B
C
D
A
1.
2.
3.
4.
Which statement is a result of applying the transitive
property of inequalities?
Given: 2x – 1 < 7x and 7x < x + 72
1
2
3
4
5
25%
25%
25%
J
25%
H
F
G
H
J
F
1.
2.
3.
4.
G
6.
7. Which is equivalent to the expression below?
25%
1
25%
25%
2
3
4
5
D
C
B
A
B
C
D
A
1.
2.
3.
4.
25%
8. What is the completely factored from of
the following expression?
1
2
3
4
5
25%
25%
J
25%
H
25%
G
F
G
H
J
F
1.
2.
3.
4.
9. If x ≠ -3, which is an equivalent form of the
following expression?
1
2
3
4
5
25%
25%
D
25%
C
25%
B
A
B
C
D
A
1.
2.
3.
4.
10. Which is an equivalent form of the following?
4
5
25%
25%
J
3
25%
H
2
25%
G
1
F
G
H
J
F
1.
2.
3.
4.
11. Which equation represents the statement
below? “a is inversely proportional to b”
2
3
4
5
25%
k/
=
=
b/
k
kb
A
=
+
k
=
A
1
25%
b
25%
A
25%
A
A=k+b
A = kb
A = b/k
A = k/b
b
1.
2.
3.
4.
12. What type of function is
25% 25% 25% 25%
2
3
4
5
ne
n
po
Ex
St
ep
tia
r
ne
a
Li
ua
Q
1
l
Quadratic
Linear
Exponential
Step
dr
at
ic
1.
2.
3.
4.
13. Ohm’s Law relates to a simple electric circuit and states:
the resistance is directly proportional to the voltage and
inversely proportional to the current.
One circuit has a resistance of 8 ohms when the voltage is 48 volts
and the current is 6 amperes. What is the resistance of a second
circuit that has a voltage of 128 volts and a current of 8 amperes?
25% 25% 25% 25%
1.
2.
3.
4.
120 ohms
64 ohms
28 ohms
16 ohms
12
1
2
3
4
5
0
s
m
h
o
64
s
m
h
o
28
s
m
h
o
16
s
m
h
o
14. Which graph best represents the following
equation?
1
2
3
4
5
25%
J
25%
H
25%
G
25%
F
G
H
J
F
1.
2.
3.
4.
15. If f (x) = x3 + x2 - 8, what is f (-8)?
25%
2
3
4
5
25%
8
56
6
45
6
-4
5
-5
6
1
25%
-568
-456
456
568
8
1.
2.
3.
4.
25%
16. The table below shows the value of a certain collectible
baseball card over eight years. Which exponential
equation best represents the data?
1
2
3
4
5
25%
J
25%
H
25%
G
F
G
H
J
F
1.
2.
3.
4.
25%
17. What are the first three terms of the sequence
defined by the following equation?
2
3
4
5
,1
35
7,
12
,1
-3
2,
7,
7,
,1
12
1
25% 25%
75
25%
7
25%
7,
12, 17, 22
7, 2, -3
7, 12, 17
7, 35, 175
22
1.
2.
3.
4.
18. This table of ordered pairs contains elements of a
function of x. which equation could define the function?
Y =-5x + 11
Y =-2x + 11
Y=(x-3)2 + 2
Y = (x-2)2 + 7
3
4
5
+
2
=
(x
-3
)2
-2
)2
+
11
+
Y
Y=
(x
Y
2
=2x
+
=5x
Y
1
7
25% 25% 25% 25%
11
1.
2.
3.
4.
19. Which appears to be the graph of a quadratic
function?
25%
1
25%
25%
2
3
4
5
D
C
B
A
B
C
D
A
1.
2.
3.
4.
25%
20. Which lists four consecutive terms of
geometric sequence?
2
3
4
5
8
7,
14
,4
2
92
,7
8,
1
,4
12
1
,1
6
68
,1
5
9,
12
1,
6,
1,4,8,16
6,9,12,15
12,48,192,768
7,14,42,168
4,
8,
16
1.
2.
3.
4.
25% 25% 25% 25%
21. Which is a root of f(x) =0 if
2
3
4
5
25%
25%
5
25%
0
25%
-4
1
-5
-4
0
5
-5
1.
2.
3.
4.
22. Given the functions defined, the composite
function g(f(x)) is equal to--
2
3
4
5
23
25%
6x
-1
25%
6x
5x
1
25%
-3
25%
6x
5x-1
6x-3
6x-1
6x2-3
-1
1.
2.
3.
4.
23. Which equation best represents the line if best
fit for the data in the scatterplot above?
Y = 4x -1
Y = -x + 4
Y = -9x + 3
y= x
2
3
4
5
x
-9
=
Y
y=
x
+
4
+
Y
=
-x
4x
=
Y
1
3
25% 25% 25% 25%
-1
1.
2.
3.
4.
24. Assuming the domain is the set of all real numbers,
what is the range of the following function of x? Y=x2 + 2
5
...
m
be
nu
ea
l
A
4
ll
r
ea
l
ll
r
3
A
2
rs
gr
ea
rs
m
be
nu
ll
r
A
1
gr
ea
...
rs
m
be
nu
ea
l
ll
i
nt
eg
er
s
25% 25% 25% 25%
A
1. All integers
2. All real numbers
3. All real numbers
greater than or
equal to 0
4. All real numbers
greater than or
equal to 2
25. Which is most likely the equation of the line of
best fit for the data given in the table?
25% 25% 25% 25%
5
0.
6
0.
50
x
–
45
x
0.
7
0.
=
Y
=
=
Y
4
Y
3
0.
25
x
–
0.
9
–
34
x
0.
=
2
Y
1
-1
Y = 0.34x – 0.9
Y = 0.25x – 0.7
Y = 0.45x -1
Y = 0.50x – 0.6
1.
2.
3.
4.
26. Assuming K is a constant of variation, which equation
represents a situation in which y varies jointly as a
and b?
2
3
4
5
=
=
k/
ka
/b
25%
Y
Y
=
ab
ka
=
Y
1
25%
ab
25%
/k
25%
Y
Y = kab
Y = ab/k
Y = k/ab
Y = ka/b
b
1.
2.
3.
4.
27. Which show the solution to the following
inequality?
1
2
3
4
5
25%
25%
D
25%
C
25%
B
A
B
C
D
A
1.
2.
3.
4.
28. What is the solution set for the equation?
25%
2
3
4
5
25%
}
{6
}
{4
}
0/
3
{1
{2
1
25%
{2,8}
{10/3}
{4}
{6}
,8
}
1.
2.
3.
4.
25%
29. What is the solution to the equation?
25%
/5
14
x
=
=
=
X
=
X
25%
-1
25%
-4
25%
X
X = -7
X = -4
X = -1
x = 14/5
-7
1.
2.
3.
4.
1
2
3
4
5
30. What is the apparent solution set for the
equation associated with the following graph?
{1
2
3
4
5
25%
{1,
1}
¼
}
25%
{-
25%
,½
}
25%
½
{-2,2}
{- ½ , ½}
{- ¼ }
{-1,1}
{2,
2}
1.
2.
3.
4.
31. What is the solution for the equation?
1.
2.
3.
4.
X=9
X = 15
X =19
X = 65
25%
X
1
2
3
4
5
=
25%
9
X
=
25%
15
X
9
=1
25%
X
=
65
32. What is the solution set for the following
equation?
25%
1
25%
25%
2
3
4
5
{7,
1}
{3,
2}
{2,
3}
{-1,7}
{-2,3}
{-3,2}
{-7,1}
{1,
7}
1.
2.
3.
4.
25%
33. What is the solution set for the following
equation?
4
5
25%
25%
J
3
25%
H
2
25%
G
1
F
G
H
J
F
1.
2.
3.
4.
34. If -6x + 11 = 4, then--25%
1
25%
25%
2
3
4
5
J
H
G
F
G
H
J
F
1.
2.
3.
4.
25%
35. Which graph best represents the given
inequality?
4
5
25%
25%
D
3
25%
C
2
25%
B
1
A
B
C
D
A
1.
2.
3.
4.
36. Which graph best represents the
following equation?
1
2
3
4
5
25%
25%
J
25%
H
25%
G
F
G
H
J
F
1.
2.
3.
4.
37. Which appears to be an x-intercept of the
graph shown?
1
2
3
4
5
25%
25%
2
25%
1
25%
0
-4
0
1
2
-4
1.
2.
3.
4.
38. Which graph most closely represents
1
2
3
4
5
25%
25%
J
25%
H
25%
G
F
G
H
J
F
1.
2.
3.
4.
39. Which equation is best represented by the
graph?
1.
2.
3.
4.
A
B
C
D
25%
A
1
2
3
4
5
25%
B
25%
C
25%
D
40. Which is an apparent factor of the polynomial
graphed above?
2
3
4
5
+2
)
25%
(x
-2
.5
)
25%
(x
(x
1
25%
-2
)
25%
(x
(x-1)
(x-2)
(x-2.5)
(x+2)
-1
)
1.
2.
3.
4.
41. A polynomial function has zeros -3 and 4.
which is one of the factors of the polynomial?
2
3
4
5
+4
)
25%
(x
+3
)
25%
(x
(x
1
25%
-3
)
25%
(x
(x+1)
(x-3)
(x+3)
(x+4)
+1
)
1.
2.
3.
4.
42. This is a portion of the graph of a conic
section. Which equation most likely represents
this graph?
4
5
y2
=
=
-2
3x
2
=
25%
X
3
X
2
2y
2x
=
Y
1
25%
2
25%
2
25%
Y
Y = 2x2
X = 2y2
Y = 3x2
X = -2y2
1.
2.
3.
4.
43. Which system of linear equations is equivalent
to the matrix equation?
1.
2.
3.
4.
A
B
C
D
25%
A
1
2
3
4
5
25%
B
25%
C
25%
D
44. Which matrix is equivalent to:
1
2
3
4
5
25%
J
25%
H
25%
G
F
G
H
J
F
1.
2.
3.
4.
25%
45. Charlie bought jeans, j, and t-shirts, t at a clothing store. The
receipt showed that a total of seven items was purchased and that the
jeans were $28 each and the t-shirts were $12 each. If he spent a total
of $116 before tax, which system of equations could be used to
determine the number of jeans he purchased?
4
5
25%
D
3
25%
C
2
25%
B
1
A
B
C
D
A
1.
2.
3.
4.
25%
46. What are the corner points of the feasibility
region for the given system of inequalities?
1
2
3
4
5
25%
J
25%
H
25%
G
25%
F
G
H
J
F
1.
2.
3.
4.
47. Which system of inequalities is best
represented by the graph?
1
2
3
4
5
25%
25%
D
25%
C
25%
B
A
B
C
D
A
1.
2.
3.
4.
48. What is the solution set for the given system
of equations?
1
2
3
4
5
25%
25%
J
25%
H
25%
G
F
G
H
J
F
1.
2.
3.
4.
49. Which is the apparent solution set to the
system of equations shown on the graph?
4
5
25%
25%
D
3
25%
C
2
25%
B
1
A
B
C
D
A
1.
2.
3.
4.
50. Which matrix is the product B x A?
1
2
3
4
5
25%
25%
J
25%
H
25%
G
F
G
H
J
F
1.
2.
3.
4.