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


1.

Alg2_24 State Standard # 1.0 What
is the complete solution to the equation ?
a.  x = 2; x = 3  c.  x = 2; x = 3  b.  x = 2; x = 3  d.  x = 2; x = 3 


2.

Alg2_24 State Standard # 1.0 What are the possible values of
x in ?
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.

Alg2_35 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.

Alg2_99 State Standard #
2.0 What is the solution to the system of equations shown
below?
a.  (0,4,4)  c.  no solution  b.  (1,4,)  d.  infinitely many
solutions 


5.

Alg2_35 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?


6.

Alg2_37 State Standard # 2.0 What system of
inequalities best represents the graph shown below?


7.

Alg2_37 State Standard # 2.0 Which point lies in the solution set for
the system
a.  (4, 1)  c.  (0, 3)  b.  (3, 1)  d.  (4, 3) 


8.

Alg2_37 State Standard # 2.0 Which system of linear inequalities is
represented by this graph?


9.



10.

Alg2_43 State
Standard # 3.0 Which polymonial represents the product of


11.



12.

Alg2_43 State Standard # 3.0 Which expression
is equivalent to ?


13.

Alg2_43 State Standard # 3.0 What is the volume of the figure
below?


14.



15.



16.



17.

a.  (3x  7)(4x+2)  c.  12(x  7)(x+7)  b.  (4x  21)(3x+7)  d.  3(2x  7)(2x+7) 


18.



19.

Alg2_52 State
Standard # 7.0 Which is a simplified form of


20.



21.

Alg2_54 State Standard # 7.0 Which product
is equivalent to ?


22.



23.

Alg2_54 State Standard # 7.0 What is the
simplest form of ?


24.

Alg2_68 State
Standard # 5.0 If , which point shows the location of on the complex plane?
a.  point A  c.  point C  b.  point B  d.  point D 


25.

Alg2_67 State Standard # 5.0 If ,
what is the value of ?
a.   c.  1  b.   d.  1 


26.

Alg2_68 State Standard # 5.0 Which of the following complex numbers is
represented by the point on the graph below?


27.

Alg2_67 State
Standard # 6.0 If , then ?


28.

Alg2_68 State
Standard # 6.0 What is an equivalent form of


29.

Alg2_68 State Standard # 6.0 What is the
product of the complex numbers and ?
a.  8  c.   b.  10  d.  


30.

Alg2_68 State Standard # 6.0 If and a
and b are nonzero real numbers, what is ?


31.

Alg2_72 State Standard # 8.0 What are the
solutions to the equation ?
a.  x=0, x= 2  c.  x= 1 + i, x= 1 
i  b.  x=0, x= 2i  d.  


32.

Alg2_72 State
Standard # 8.0 What are the solutions to the equation ?


33.

Alg2_72 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?


34.

Alg2_71 State Standard # 8.0 Jenny is solving
the equation by completing the square. What number should
be added to both sides of the equation to the complete the square?


35.

Alg2_75 State
Standard # 9.0 Which of the following most accurately describes the translation of the
graph to the graph of ?
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.

Alg2_75 State Standard # 9.0 Which of the
following sentences is true about the graphs of and ?
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.

Alg2_76 State
Standard # 10.0 What are the xintercepts of the graph of ?
a.  1 and  c.  and  b.  1 and  d.  and 


38.

Alg2_75 State
Standard # 10.0 Which is the graph of ?


39.

Alg2_76 State Standard # 10.0 Which ordered
pair is the vertex of ?


40.

hyperbolas State
Standard # 16.0 The graph of is a hyperbola. Which set of equations
represents the asymptotes of the hyperbola's graph?


41.

Alg2_75 State Standard # 16.0 Which of the following represents a
parabola?


42.

Alg2_95P2v2 State
Standard # 17.0 What is the standard form of the equation
of the conic given above?


43.

Alg2_92 State Standard # 17.0 Which statement describes the graph of
the equation ?
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.

Alg2_106 State
Standard # 11.1 What is the solution to the equation ?


45.

Alg2_104 State
Standard # 11.1 If , what is the value of x?


46.

Alg2_104 State Standard # 11.1 Which equation
is equivalent to


47.

Alg2_105 State
Standard # 11.2 Which is the first incorrect step in simplifying ?
a.  Step 1  c.  Step 3  b.  Step 2  d.  Each step is
correct 


48.

a.  Jeremy’s work  c.  Shanan’s work  b.  Micheal’s work  d.  Brenda’s
work 


49.

Alg2_105 State Standard # 11.2 A student showed the following steps in
his solution of the equation below, but his answer was not correct. In which
step did he make his first error?
a.  Step 1  c.  Step 3  b.  Step 2  d.  Step 4 


50.

Alg2_107HalfLifeGrowthBookFormulas
State Standard # 12.0 A certain radioactive element decays over time according to the equation
, 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.

Alg2_107HalfLifeGrowthBookFormulas
State Standard # 12.0 Bacteria in a culture are growing exponentially with time, as shown in the
table below. Bacteria
GrowthWhich of
the following equations expresses the number of bacteria, y, present at any time, t?


52.

Alg2_103 State Standard # 12.0 If the equation
is graphed, which of the following values of
x would produce a point closest to the xaxis?


53.

Alg2_103 State Standard # 12.0 Which table below correctly describes
points of the exponential function ?


54.



55.

Alg2_52 AND Alg2_104 State Standard # 13.0 Jonathan wrote the equation on the board. He needs one clue for problem solving. Which fact provides the
correct information that he needs to solve the equation?
a.   c.  4  4 = 0  b.   d.  6  4 =
2 


56.

Alg2_104 State
Standard # 14.0 What is the value of ?


57.

Alg2_105 State
Standard # 14.0 If and , what is the
approximate value of ?
a.  0.051  c.  0.861  b.  0.778  d.  1.857 


58.

Alg2_59 State
Standard # 15.0 If x is a real number, for what values of x is the
equation true?
a.  all values of x  c.  no values of
x  b.  some values of x  d.  impossible to
determine 


59.

Alg2_59 State
Standard # 15.0 On a recent test, Jeremy wrote the equation . 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.

Alg2_103 State Standard # 15.0 Given the
equation where and , which statement is valid for real values of y?


61.

Alg2_61 State Standard # 15.0 If x is a
real number, which best describes the values of for which the inequality
is true?
a.  all  c.  all values of  b.  all  d.  no values of 


62.

Alg2_61 State Standard # 15.0 Which of the following conclusions is
true about the statement below?
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.

Alg2_155 State Standard # 18.0 Abelardo wants
to create several different 7character 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?


64.

Alg2_155 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.

Alg2_159 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?


66.



67.

Alg2_117 State Standard # 20.0 How many terms
does the binomial expansion of contain?


68.

Alg2_118 State Standard # 20.0 What are the first 4 terms in the
expansion of ?


69.

Alg2_116 State Standard # 22.0 What is the sum
of the infinite geometric series


70.

Alg2_112 State Standard # 22.0 What is the th term in the arithmetic series below?


71.

Alg2_103 State Standard # 24.0 Which expression
represents if and ?


72.

Alg2_103 State Standard # 24.0 Given that and
, what is ?


73.

Alg2_38v2 State
Standard # 25.0 If . which is an equivalent form of ?


74.

Alg2_PS1PS2 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?


75.

Alg2_PS1PS2 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?


76.

Alg2_159 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?


77.

Alg2_PS1PS2 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?


78.

Alg2_1510 State Standard PS # 2.0 The
probabilities that Jamie will try out for various sports and team positions are shown in the chart
below.
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?


79.

Alg2_152Part2 State Standard PS # 7.0 A
smallbusiness owner must hire seasonal workers as the need arises. The following list shows the
number of employees hired monthly for a 5month 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.)


80.

Alg2_152Part2 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. 
