Name: 
 

Algebra 2 CST Practice Test From Released Questions (including 2007 questions)



Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Review1      Review1  State Standard # 1.0
What is the complete solution to the equation mc001-1.jpg?
a.
x = 2; x = 3
c.
x = 2; x = -3
b.
x = -2; x = 3
d.
x = -2; x = -3
 

 2. 

Review 2  State Standard # 1.0
What are the possible values of x in mc002-1.jpg ?
a.
x=-2.50 or x = -3.5
c.
  3.5 > x > 2.5
b.
  -3.50< x < -2.50
d.
  x = 2.50 or x = 3.50
 

 3. 

Review3     Review3     State Standard # 2.0
For a wedding, Shereda bought serveral dozen roses and several dozen carnations. The roses cost $15 per dozen, and the carnations cost $8 per dozen. Shereda bought a total of 17 dozen flowers and paid a total of $192. How many roses did she buy?
a.
6 dozen
c.
8 dozen
b.
7 dozen
d.
9 dozen
 

 4. 

Review4     Review4     State Standard # 2.0
What is the solution to the system of equations shown below?
                      mc004-1.jpg
                      mc004-2.jpg
                      mc004-3.jpg
a.
(0,4,4)
c.
no solution
b.
(1,4,mc004-4.jpg)
d.
infinitely many solutions
 

 5. 

Review 5     State Standard # 2.0
A restaurant manager bought 20 packages of bagels. Some packages contained 6 bagels each, and the rest contained 12 bagels each. There were 168 bagels in all. How many packages of 12 bagels did the manager buy?
a.
6
c.
9
b.
8
d.
12
 

 6. 

Review 6     State Standard # 2.0
What system of inequalities best represents the graph shown below?
mc006-1.jpg
a.
mc006-2.jpg
c.
mc006-4.jpg
b.
mc006-3.jpg
d.
mc006-5.jpg
 

 7. 

Review 7  State Standard # 2.0
Which point lies in the solution set for the system
mc007-1.jpg
a.
(-4, -1)
c.
(0, -3)
b.
(3, 1)
d.
(4, 3)
 

 8. 

Review 8  State Standard # 2.0
Which system of linear inequalities is represented by this graph?
mc008-1.jpg
a.
mc008-2.jpg
c.
mc008-4.jpg
b.
mc008-3.jpg
d.
mc008-5.jpg
 

 9. 

Review9     Review9      State Standard # 3.0

mc009-1.jpg
a.
mc009-2.jpg
c.
mc009-4.jpg
b.
mc009-3.jpg
d.
mc009-5.jpg
 

 10. 

Review10     Review10      State Standard # 3.0
Which polymonial represents the product of mc010-1.jpg
a.
mc010-2.jpg
c.
mc010-4.jpg
b.
mc010-3.jpg
d.
mc010-5.jpg
 

 11. 

Review 11      State Standard # 3.0
mc011-1.jpg
a.
  mc011-2.jpg
c.
mc011-4.jpg
b.
mc011-3.jpg
d.
mc011-5.jpg
 

 12. 

Review 12      State Standard # 3.0
Which expression is equivalent to mc012-1.jpg?
a.
mc012-2.jpg
c.
mc012-4.jpg
b.
mc012-3.jpg
d.
mc012-5.jpg
 

 13. 

Review 13  State Standard # 3.0
What is the volume of the figure below?
mc013-1.jpg
a.
mc013-2.jpg
c.
mc013-4.jpg
b.
mc013-3.jpg
d.
mc013-5.jpg
 

 14. 

Review 14 Slide 17     Review 14 Slide 17      State Standard # 4.0
mc014-1.jpg=
a.
mc014-2.jpg
c.
mc014-4.jpg
b.
mc014-3.jpg
d.
mc014-5.jpg
 

 15. 

Review 15 Slides 13-14     State Standard # 4.0
The total area of a rectangle is mc015-1.jpg. Which factors could represent the length times width?
a.
mc015-2.jpg
c.
mc015-4.jpg
b.
mc015-3.jpg
d.
mc015-5.jpg
 

 16. 

Review 16 Slice 34     State Standard # 4.0
Which product of factors is equivalent to mc016-1.jpg?
a.
mc016-2.jpg
c.
mc016-4.jpg
b.
mc016-3.jpg
d.
mc016-5.jpg
 

 17. 

Review 17 Slide 22  State Standard # 4.0
Which expression shows the complete factorization of mc017-1.jpg ?
a.
(3x - 7)(4x+2)
c.
12(x - 7)(x+7)
b.
(4x - 21)(3x+7)
d.
3(2x - 7)(2x+7)
 

 18. 

Review18     Review18      State Standard # 7.0
mc018-1.jpg
a.
mc018-2.jpg
c.
mc018-4.jpg
b.
mc018-3.jpg
d.
mc018-5.jpg
 

 19. 

Review 19     Review 19      State Standard # 7.0
Which is a simplified form of mc019-1.jpg
a.
mc019-2.jpg
c.
mc019-4.jpg
b.
mc019-3.jpg
d.
mc019-5.jpg
 

 20. 

Review 20      State Standard # 7.0

What is mc020-1.jpg?
a.
mc020-2.jpg
c.
mc020-4.jpg
b.
mc020-3.jpg
d.
mc020-5.jpg
 

 21. 

Review 21      State Standard # 7.0

Which product is equivalent to mc021-1.jpg?
a.
mc021-2.jpg
c.
mc021-4.jpg
b.
mc021-3.jpg
d.
mc021-5.jpg
 

 22. 

Review 22      State Standard # 7.0

mc022-1.jpg
a.
1
c.
mc022-3.jpg
b.
mc022-2.jpg
d.
mc022-4.jpg
 

 23. 

Review 23      State Standard # 7.0

What is the simplest form of mc023-1.jpg?
a.
mc023-2.jpg
c.
mc023-4.jpg
b.
mc023-3.jpg
d.
mc023-5.jpg
 

 24. 

Review 24     Review 24      State Standard # 5.0
If  mc024-1.jpg, which point shows the location of mc024-2.jpg on the complex plane?
mc024-3.jpg
a.
point A
c.
point C
b.
point B
d.
point D
 

 25. 

Review 25      State Standard # 5.0
If mc025-1.jpg, what is the value of mc025-2.jpg?
a.
mc025-3.jpg
c.
1
b.
mc025-4.jpg
d.
-1
 

 26. 

Review 26  State Standard # 5.0
Which of the following complex numbers is represented by the point on the graph below?
mc026-1.jpg
a.
mc026-2.jpg
c.
mc026-4.jpg
b.
mc026-3.jpg
d.
mc026-5.jpg
 

 27. 

Review 27     Review 27      State Standard # 6.0
If mc027-1.jpg, then mc027-2.jpg?
a.
48
c.
-24
b.
24
d.
-48
 

 28. 

Review 28     Review 28      State Standard # 6.0
What is an equivalent form of mc028-1.jpg
a.
mc028-2.jpg
c.
mc028-4.jpg
b.
mc028-3.jpg
d.
mc028-5.jpg
 

 29. 

Review 29      State Standard # 6.0
What is the product of the complex numbers mc029-1.jpg and mc029-2.jpg?
a.
8
c.
mc029-3.jpg
b.
10
d.
mc029-4.jpg
 

 30. 

Review 30  State Standard # 6.0
If  mc030-1.jpg and a and b are non-zero real numbers, what is  mc030-2.jpg ?
a.
mc030-3.jpg
c.
mc030-5.jpg
b.
mc030-4.jpg
d.
mc030-6.jpg
 

 31. 

Review 31      State Standard # 8.0
What are the solutions to the equation mc031-1.jpg?
a.
x=0, x= -2
c.
x= -1 + i, x= -1 - i
b.
x=0, x= -2i
d.
mc031-2.jpg
 

 32. 

Review 32     Review 32      State Standard # 8.0
What are the solutions to the equation mc032-1.jpg?
a.
mc032-2.jpg
c.
mc032-4.jpg
b.
mc032-3.jpg
d.
mc032-5.jpg
 

 33. 

Review 33      State Standard # 8.0
There are two numbers with the following properties.
          1) The second number is 3 more than the first number.
          2) The product of the two numbers is 9 more than their sum.
Which of the following represents possible values of these two numbers?
a.
mc033-1.jpg
c.
mc033-3.jpg
b.
mc033-2.jpg
d.
mc033-4.jpg
 

 34. 

Review 34      State Standard # 8.0
Jenny is solving the equation mc034-1.jpg by completing the square. What number should be added to both sides of the equation to the complete the square?
a.
2
c.
8
b.
4
d.
16
 

 35. 

Review 35     Review 35      State Standard # 9.0
Which of the following most accurately describes the translation of the graph mc035-1.jpg to the graph of mc035-2.jpg?
a.
up 4 and 5 to the right
c.
down 2 and 3 to the left
b.
down 2 and 2 to the right
d.
up 4 and 2 to the left
 

 36. 

Review 36      State Standard # 9.0
Which of the following sentences is true about the graphs of mc036-1.jpg and mc036-2.jpg?
a.
Their vertices are maximums
c.
The graphs have different shapes with different vertices.
b.
The graphs have the same shape with different vertices.
d.
One graph has a vertex that is a maximum, while the other graph has a vertex that is a minimum.
 

 37. 

Review 37     Review 37      State Standard # 10.0
What are the x-intercepts of the graph of mc037-1.jpg?
a.
1 and mc037-2.jpg
c.
mc037-4.jpg and mc037-5.jpg
b.
-1 and mc037-3.jpg
d.
mc037-6.jpg and mc037-7.jpg
 

 38. 

Review 38     Review 38      State Standard # 10.0
Which is the graph of mc038-1.jpg?
a.
mc038-2.jpg
c.
mc038-4.jpg
b.
mc038-3.jpg
d.
mc038-5.jpg
 

 39. 

Review 39      State Standard # 10.0
Which ordered pair is the vertex of mc039-1.jpg?
a.
mc039-2.jpg
c.
mc039-4.jpg
b.
mc039-3.jpg
d.
mc039-5.jpg
 

 40. 

Review 40     Review 40      State Standard # 16.0
The graph of mc040-1.jpg is a hyperbola.  Which set of equations represents the asymptotes of the hyperbola's graph?
a.
mc040-2.jpg
c.
mc040-4.jpg
b.
mc040-3.jpg
d.
mc040-5.jpg
 

 41. 

Review 41  State Standard # 16.0
Which of the following represents a parabola?
a.
mc041-1.jpg
c.
mc041-3.jpg
b.
mc041-2.jpg
d.
mc041-4.jpg
 

 42. 

Review 42     Review 42      State Standard # 17.0
mc042-1.jpg
What is the standard form of the equation of the conic given above?
a.
mc042-2.jpg
c.
mc042-4.jpg
b.
mc042-3.jpg
d.
mc042-5.jpg
 

 43. 

Review 43  State Standard # 17.0
Which statement describes the graph of the equation mc043-1.jpg ?
a.
a hyperbola with center (-2, 3) and vertices (4, -3) and (-4, 3)
c.
a circle with center (-2, 3) and radius 8
b.
a hyperbola with center (-2, 3) and vertices (2, -3) and (3, -2)
d.
a circle with center (-2, 3) and radius 4
 

 44. 

Review 44     Review 44      State Standard # 11.1
What is the solution to the equation mc044-1.jpg?
a.
x = 2
c.
mc044-3.jpg
b.
mc044-2.jpg
d.
mc044-4.jpg
 

 45. 

Review 45     Review 45      State Standard # 11.1
If mc045-1.jpg, what is the value of x?
a.
mc045-2.jpg
c.
mc045-4.jpg
b.
mc045-3.jpg
d.
mc045-5.jpg
 

 46. 

Review 46      State Standard # 11.1
Which equation is equivalent to mc046-1.jpg
a.
mc046-2.jpg
c.
mc046-4.jpg
b.
mc046-3.jpg
d.
mc046-5.jpg
 

 47. 

Review 47     Review 47      State Standard # 11.2
Which is the first incorrect step in simplifying mc047-1.jpg?
mc047-2.jpg
a.
Step 1
c.
Step 3
b.
Step 2
d.
Each step is correct
 

 48. 

Review 48      State Standard # 11.2
Jeremy, Micheal, Shanan, and Brenda each worked the same math problem at the chalkboard. Each student’s work is shown below. Their teacher said that while two of them had the correct answer, only one of them arrived at the correct conclusion using correct steps.
Jeremy’s work                                                             Shanan’s work
mc048-1.jpg                                                                 mc048-2.jpg
        mc048-3.jpg                                                                  mc048-4.jpg
Micheal’s work                                                            Brenda’s work
mc048-5.jpg                                                                 mc048-6.jpg
        mc048-7.jpg                                                         mc048-8.jpg
Which is a completely correct solution?
a.
Jeremy’s work
c.
Shanan’s work
b.
Micheal’s work
d.
Brenda’s work
 

 49. 

Review 49  State Standard # 11.2
A student showed the following steps in his solution of the equation below, but his answer was not correct.
mc049-1.jpg
In which step did he make his first error?
a.
Step 1
c.
Step 3
b.
Step 2
d.
Step 4
 

 50. 

Review 50     Review 50      State Standard # 12.0
A certain radioactive element decays over time according to the equation mc050-1.jpg, where A = the number of grams present initially and t = time in years.  If 1,000 grams were present initially, how many grams will remain after 900 years?
a.
500 grams
c.
125 grams
b.
250 grams
d.
62.5 grams
 

 51. 

Review 51     Review 51      State Standard # 12.0
Bacteria in a culture are growing exponentially with time, as shown in the table below.
             Bacteria Growth
Day
Bacteria
0
100
1
200
2
400

Which of the following equations expresses the number of bacteria, y, present at any time, t?
a.
mc051-1.jpg
c.
mc051-3.jpg
b.
mc051-2.jpg
d.
mc051-4.jpg
 

 52. 

Review 52      State Standard # 12.0
If the equation mc052-1.jpg is graphed, which of the following values of x would produce a point closest to the x-axis?
a.
mc052-2.jpg
c.
mc052-4.jpg
b.
mc052-3.jpg
d.
mc052-5.jpg
 

 53. 

Review 53  State Standard # 12.0
Which table below correctly describes points of the exponential function mc053-1.jpg ?
a.
mc053-2.jpg
c.
mc053-4.jpg
b.
mc053-3.jpg
d.
mc053-5.jpg
 

 54. 

Review 54     Review 54      State Standard # 13.0
mc054-1.jpg
a.
mc054-2.jpg
c.
mc054-4.jpg
b.
mc054-3.jpg
d.
mc054-5.jpg
 

 55. 

Review 55  State Standard # 13.0
Jonathan wrote the equation  mc055-1.jpg on the board.  He needs one clue for problem solving.  Which fact provides the correct information that he needs to solve the equation?
a.
mc055-2.jpg
c.
4 - 4 = 0
b.
mc055-3.jpg
d.
6 - 4 = 2
 

 56. 

Review 56     Review 56      State Standard # 14.0
What is the value of  mc056-1.jpg?
a.
2
c.
6
b.
3
d.
9
 

 57. 

Review 57     Review 57      State Standard # 14.0
If mc057-1.jpg and mc057-2.jpg, what is the approximate value of mc057-3.jpg?
a.
0.051
c.
0.861
b.
0.778
d.
1.857
 

 58. 

Review 58     Review 58      State Standard # 15.0
If x is a real number, for what values of x is the equation    mc058-1.jpg true?
a.
all values of x
c.
no values of x
b.
some values of x
d.
impossible to determine
 

 59. 

Review 59     Review 59      State Standard # 15.0
On a recent test, Jeremy wrote the equation mc059-1.jpg.  Which of the following statements is correct about the equation he wrote?
a.
The equation is always true.
c.
The equation is never true.
b.
The equation is always true, except when x=4
d.
The equation is sometimes true when
x = 4
 

 60. 

Review 60      State Standard # 15.0
Given the equation mc060-1.jpg where mc060-2.jpg and mc060-3.jpg, which statement is valid for real values of y?
a.
mc060-4.jpg
c.
mc060-6.jpg
b.
mc060-5.jpg
d.
mc060-7.jpg
 

 61. 

Review 61      State Standard # 15.0
If x is a real number, which best describes the values of mc061-1.jpg for which the inequality mc061-2.jpg is true?
a.
all mc061-3.jpg
c.
all values of mc061-5.jpg
b.
all mc061-4.jpg
d.
no values of mc061-6.jpg
 

 62. 

Review 62  State Standard # 15.0
Which of the following conclusions is true about the statement below?
mc062-1.jpg
a.
The statement is always true.
c.
The statement is true when x = 0.
b.
The statement is true when x is negative.
d.
The statement is never true.
 

 63. 

Review 63      State Standard # 18.0
Abelardo wants to create several different 7-character screen names. He wants to use arrangements of the first3 letters of his first name (abe), followed by arrangements of 4 digits in 1984, the year of his birth. How many different screen names can he create in this way?
a.
72
c.
288
b.
144
d.
576
 

 64. 

Review 64      State Standard # 18.0
A train is made up of a locomotive, 7 different cars, and a caboose. If the locomotive must be first, and the caboose must be last, how many different ways can the train be ordered?
a.
5040
c.
362,880
b.
181,440
d.
823,543
 

 65. 

Review 65      State Standard # 19.0
Teresa and Julia are among 10 students who have applied for a trip to Washington D.C. Two srudents from the group will be selected at random for the trip. What is the probability that Teresa amd Julia will be the two students selected?
a.
mc065-1.jpg
c.
mc065-3.jpg
b.
mc065-2.jpg
d.
mc065-4.jpg
 

 66. 

Review 66     Review 66      State Standard # 20.0
mc066-1.jpg
a.
mc066-2.jpg
c.
mc066-4.jpg
b.
mc066-3.jpg
d.
mc066-5.jpg
 

 67. 

Review 67      State Standard # 20.0
How many terms does the binomial expansion of mc067-1.jpg contain?
a.
20
c.
40
b.
21
d.
60
 

 68. 

Review 68  State Standard # 20.0
What are the first 4 terms in the expansion of mc068-1.jpg ?
a.
mc068-2.jpg
c.
mc068-4.jpg
b.
mc068-3.jpg
d.
mc068-5.jpg
 

 69. 

Review 69      State Standard # 22.0
What is the sum of the infinite geometric series
mc069-1.jpg
a.
1
c.
2
b.
1.5
d.
2.5
 

 70. 

Review 70      State Standard # 22.0
What is the mc070-1.jpgth term in the arithmetic series below?
mc070-2.jpg
a.
mc070-3.jpg
c.
mc070-5.jpg
b.
mc070-4.jpg
d.
mc070-6.jpg
 

 71. 

Review 71      State Standard # 24.0
Which expression represents mc071-1.jpg if
mc071-2.jpg and mc071-3.jpg?
a.
mc071-4.jpg
c.
mc071-6.jpg
b.
mc071-5.jpg
d.
mc071-7.jpg
 

 72. 

Review 72  State Standard # 24.0
Given that mc072-1.jpg and  mc072-2.jpg , what is mc072-3.jpg?
a.
-2
c.
8
b.
6
d.
10
 

 73. 

Review 73     Review 73      State Standard # 25.0
If mc073-1.jpg. which is an equivalent form of mc073-2.jpg?
a.
mc073-3.jpg
c.
mc073-5.jpg
b.
mc073-4.jpg
d.
mc073-6.jpg
 

 74. 

Review 74     Review 74      State Standard PS # 1.0
A math teacher is randomly distributing 15 rulers with centimeter labels and 10 rulers without centimeter labels.  What is the probability that the first ruler she hands out will have centimeter labels and the second ruler will not have labels?
a.
mc074-1.jpg
c.
mc074-3.jpg
b.
mc074-2.jpg
d.
mc074-4.jpg
 

 75. 

Review 75      State Standard PS # 1.0
On a certain day the chance of rain is 80% in San Fransico and 30% in Sydney. Assume that the chance of rain in the two cities is independent. What is the probability that it will not rain in either city?
a.
7%
c.
24%
b.
14%
d.
50%
 

 76. 

Review 76  State Standard PS # 1.0
One bag contains 2 green marbles and 4 white marbles, and a second bag contains 3 green marbles and 1 white marble.  If Trent randomly draws one marble from each bag, what is the probability that they are both green?
a.
mc076-1.jpg
c.
mc076-3.jpg
b.
mc076-2.jpg
d.
mc076-4.jpg
 

 77. 

Review 77     Review 77      State Standard PS # 2.0
A box contains 7 large red marbles, 5 large yellow marbles, 3 small red marbles, and 5 small yellow marbles. If a marble is drawn at random, what is the probability that it is yellow, given that it is one of the large marbles?
a.
mc077-1.jpg
c.
mc077-3.jpg
b.
mc077-2.jpg
d.
mc077-4.jpg
 

 78. 

Review 78      State Standard PS # 2.0
The probabilities that Jamie will try out for various sports and team positions are shown in the chart below.

mc078-1.jpg

Jamie will definitely try out for either basketball or baseball, but not both. The probability that Jamie will try out for baseball and try out for catcher is 42%.  What is the probability that Jamie will try out for basketball?
a.
40%
c.
80%
b.
60%
d.
90%
 

 79. 

Review 79      State Standard PS # 7.0
A small-business owner must hire seasonal workers as the need arises. The following list shows the number of employees hired monthly for a 5-month period.
4, 13, 5, 6, 9
If the mean of these data is approximately 7, what is the population standard deviation for these data? (Round the answer to the nearest tenth.)
a.
3.3
c.
10.8
b.
7.4
d.
13.5
 

 80. 

Review 80      State Standard PS # 7.0
3, 6, 2, 1, 7, 5
James found the mean and the standard deviation of the set of numbers given above. If he adds 5 to each number, which of the following will result?
a.
The mean will be multiplied by 5.
c.
The mean will not change.
b.
The standard deviation will increase by 5.
d.
The standard deviation will not change.
 



 
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