1. No category

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Algebra II
Algebra 2 Practice SOL REVISED8
Multiple Choice
Identify the choice that best completes the statement or answers the question.
1. Which is an equivalent form of the following expression?
2
9
A -6
B -6i
C 5i
D 6i
2. What is the factored form of the following expression?
2
9h  24h  16
2
A 3(h  1)
2
C (4h  3)
2
2
D (3h  4)
B
(3h  4)
3. Which is a simplified form of the following expression?
3
2 4
A 6 2
B 6 6
2
2
C 7 2
D 6 2
1
4. Assuming k  0 , which expression is equivalent to the following complex fraction?
2k
5
6k
10
A
k
6
C
3
2
B
2
3
D
6k
25
2
5. Which of the following are factors of
2
2x  16x  32
I. 2
II. x +2
III. x - 4
IV. x + 8
V. x + 4
A I only
B II and IV only
C I and III only
D III only
6. Which is an equivalent form of the following expression?
64
A 8i
B -8i
C 8
D -8
2
7. Which is not an equivalent form of the following expression?
ÊÁ 4
ÁÁ
ÁÁ
Ë9
1
ˆ˜ 2
˜˜
˜˜
¯
4
A
9
4
B
4
9
C
D
9
2
3
8. If defined, which is an equivalent form of this expression?
3

4
10xy z
A
z
5yz
4
3
3
2xy
C
3
xz
3
3y
3
5 5
B
zy z
D
2
9
5 5
10xy z
9. Which is an equivalent form of the following expression?
100 
A -12i
B -8
4
C 8i
D -8i
10. Which equation represents a situation in which z varies jointly as x and y?
A z
B
z
x
y
ky
x
C z
xk
y
D z  kxy
3
11. Which is an arithmetic sequence?
A 2, 5, 9, 14, ...
C 3, 10, 17, 24, ...
B
D -2, -1, - , - , ...
100, 50, 12.5, 1.6, ...
1
2
1
4
12. Which shows four consecutive terms of a geometric sequence?
A 1, 5, 25, 125, ...
B 10, 20, 30, 40, ...
C 50, 100, 150, 200, ...
D 1, -1, 2, -2...
13. Which function of x appears to have two distinct real zeros?
A
C
B
D
4
14. The following is the graph of a function of x.
Which appears to be a turning point?
A (2, 0)
B (0, -8)
C (-1, -3)
D (-2, 0)
15. The formula for the sum of an infinite geometric series follows.
For |r| < 1, S  
a1
1r
What is the sum of the following infinite series?
21
A 3
B 4
1 1 1
  . . .
2 4 8
C 5
D 6
5
16. Which equation best defines the function graphed below?
A y = -|x| + 2
B y = |-x| + 2
C y = -|x + 2|
D y = -x + 2
17. Which of the following functions of x has the greatest number of roots in the complex number system?
3
2
A y  x x 1
2
C y  xx
2
D y  x  3
B
y  x  4x  2
x
18. The function defined by f(x)  3(5 ) is ___
A an absolute value function
B an exponential function
C
D
a linear function
a quadratic function
19. A farmer pumps water from a irrigation well to water his field. The time it takes to water the field varies
inversely with the rate at which the pump operates. It take 20 hours to water the field when the
pumping rate is 600 gallons per minute. If he adjusts the pump so that it pumps at a rate of 400 gallons
perminute, how long will it take to water the field?
A 12.5 hours
B 15 hours
C 30 hours
D 40 hours
6
20. A college professor was matching raw test scores to averaged scores within a class. The table shows the
match for four students in the class.
Based on a line of best fit for the data, which is the best prediction for the averaged score that matches a
raw score of 70?
A 83
B 85
C 87
D 89
21. What is the domain of the function defined by the following equation?
f(x) 
1
x
A {All real numbes}
B {All non-zero real numbers}
C {All real numbers greater than zero}
D {All real numbers less than zero}
2
22. Each statement describes a transformation of the graph of y  x . Which statement correctly describes
2
the graph of y  (x  5)  6 ?
2
A It is the graph of y  x translated 6 units down and 5 units to the right.
B
2
It is the graph of y  x translated 6 units down and 5 units to the left.
2
C It is the graph of y  x translated 6 units up and 5 units to the right.
2
D It is the graph of y  x translated 6 units up and 5 units to the left.
7
23. A cubic function has turning points at (-1, 2) and (1, -2). Which could be its graph?
A
C
B
D
24. What is a 5 in the sequence defined as follows?
an  5  2
(n  1)
A a 5 = 160
B a 5 = 80
C a 5 = 40
D a 5 = 10
8
25. What is the apparent solution set for the equation associated with the following graph?
A {-3}
B {3}
C {-9, 0}
D {-3, 3}
26. Which is a solution to the following equation?
x  4  2  x
A x = -4
B x = -3
C x = -2
D x = -1
27. If s represents the length of one edge, the following formula may be used to determine the surface area
of a cube.
S.A. = 6s
2
To the nearest tenth of a centimeter, what is the length of one edge of a cube with a surface area of 140
square centimeters?
A 4.8 cm
B 7.6 cm
C 12.3 cm
D 23.4 cm
9
28. What is the solution to the following equation?
2
(x  3)  14
A x = -5 or x = -1
B x = 1 or x = 5
C x = 3  14
D x = 3  14
29. What is the solution set for the given equation?
3|x + 4| = 18
A {-10, 2}
B {-2, 2}
C {-19, 11}
D {-22, -14}
30. What is the solution to the following equation?
3y  4
2

2y  5
A y=1
B y=6
3

31
2
C y=7
D y = 13
31. Which graph best represents the solution to the following inequality?
|x – 3| < 5
A
C
B
D
10
32. What is the solution to the following equation?
2 2
 1
5 x
3
10
3
x
5
5
3
10
D x
3
A x
B
C x
2
33. Which is a root of x  11x  30  0 ?
A 3
B 6
C 10
D 11
34. Which is an apparent zero of the function graphed?
A -9.25
B -6
C -3
D 0
35. Where does the graph of the function f(x)  (x  1)(x  2) cross the x-axis?
A (0, 0)
B (1, -2)
C (-1, 0) and (2, 0)
D (1, 0) and (-2, 0)
11
36. The zeros of a polynomial functions are
A f(x) = (x – 1)(x + 2)
B f(x) = (x + 1)(x – 2)
1
and -1. Which could be the function?
2
C f(x) = (x – 2)(2x + 1)
D f(x) = (x + 1)(2x – 1)
37. Which is the apparent solution set to the system of equations shown on the graph?
A { (-3, 1) }
B { (-3, 0), (2, 5) }
C { (-3, 0), (1, 0), (2, 5) }
D { (-3, 0), (-1, -4), (1, 0), (2, 5) }
38. What is the value of x in the following system of equations?
ÏÔ
ÔÔ y  2x  3
Ô
ÌÔ
ÔÔ
2
ÔÓ y  x  5x  1
A -1 and -5
B -1 and 4
C -6 and 9
D -1
39. Which quadratic equation has solutions x =
A 6x 2  7x  2  0
B
2
6x  7x  2  0
1
2
and x = ?
2
3
C 6x 2  7x  2  0
D 6x 2  7x  2  0
12
40. Identify the equation of the horizontal asymptotote and the vertical asymptote of g(x) 
A x=0
y=0
B
x=7
y=0
C x = -7
y=0
5x  2
x7
D x=7
y=5
41. A store owner employs a total of 5 cashiers and 7 associates. The owner plans to select a committee of 2
cashiers and 3 associates. What is the number of different committees the owner could choose?
A 350
B 4200
C 45
D 230
42. There are 15 runners in a race. How many different ways can they finish first, second, and third?
A 1320
B 455
C 2730
D 6
43. A normally distributed set of 872 values has a mean of 97 and a standard deviation of 10.2. Which is
closest to the number of values expected to be above 110?
A 783
B 89
C .102
D 138
13
44. Which functions below do not have the same asymptotes as the functions shown in the graph?
A
B
C
D
4x
2x  2
2x 2
f(x) 
x1
2x
f(x) 
x1
8x  7
f(x) 
4x  4
f(x) 
45. The test scores of 60,000 students are normally distributed with a mean of 81 and a standard deviation
of 2.5. 8,160 of the students scored within what range of scores?
A 83.5 - 86 or
B 81 - 83.5 or
C 86- 88.5 or
D 81 - 83.3 or
76 - 78.5
78.5 - 81
73.5 -76
86 - 88.5
14
46. The steps used to solve an equation are shown. Identify the missing properties that justify each step.
(Write the letter beside each step.)
1
3(x  )  5x
3
Given expression
1
3x  3( )  5x _______________
3
3x  1  5x
_______________
3x  5x  1
_______________
(3x  5x)  1
_______________
2x  1
Substitution
A
B
C
D
E
F
G
H
additive inverse
distributive
multiplicative inverse
commutitive of addition
closure
associative of additon
mult. property of zero
additive identity
2
47. Each statement describes a transformation of the graph of y  x . Which statement correctly describes
2
the graph of y  (x  5)  6 ?
2
A It is the graph of y  x translated 6 units up and 5 units to the right.
B
2
It is the graph of y  x translated 6 units down and 5 units to the right.
2
C It is the graph of y  x translated 6 units down and 5 units to the left.
2
D It is the graph of y  x translated 6 units up and 5 units to the left.
15
48. The table below shows the value of a certain collectible baseball card over
eight years.
Which exponential equation best represents the data?
A y  0.53(1.01) x
B y  2.25(1.59) x
C y  14.8(9.58) x
D y  2.18(6.1) x
49. The following sequence is given in recursive form.
an  8
a n  2a n  1  5, for n  2
What is the value for the 4th term of this sequence?
A 21
B 99
C 47
D 8
x6
as x approaches infinity.
x2
A y approaches infinity
C y approaches 0
B y approaches negative infinity
D y approaches 6
50. Describe the end behavior of h(x) 
16