Multiple Choice
Identify the
letter of the choice that best completes the statement or answers the question.
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1.
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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 | | | | |
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2.
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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 | | | | |
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3.
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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 | | | | |
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4.
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5.
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Which polymonial represents the product of 
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6.
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 =
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7.
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8.
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Which is a simplified form of 
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9.
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If  , which point shows the location of 
on the complex plane?
a. | point
A | c. | point
C | b. | point
B | d. | point
D | | | | |
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10.
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If  , then  ?
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11.
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What is an equivalent form of 
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12.
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What are the solutions to the equation  ?
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13.
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What are the solutions to the equation  ?
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14.
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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 | | | | |
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15.
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What are the x-intercepts of the graph of  ? a. | 1 and  | c. | 
and  | b. | -1 and  | d. | 
and  | | | | |
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16.
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Which is the graph of  ?
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17.
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The graph of  is a hyperbola. Which set of equations
represents the asymptotes of the hyperbola's graph?
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18.
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What is the standard form of the equation of the conic given
above?
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19.
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What is the solution to the equation  ?
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20.
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If  , what is the value of x?
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21.
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Which is the first incorrect step in
simplifying  ?
a. | Step
1 | c. | Step
3 | b. | Step
2 | d. | Each step is
correct | | | | |
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22.
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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 | | | | |
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23.
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Bacteria in a culture are growing exponentially with
time, as shown in the table below.
Bacteria
Growth
Which of the following equations expresses the number
of bacteria, y, present at any time, t?
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24.
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25.
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What is the value of  ?
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26.
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If 
and  , what is the approximate value of  ? a. | 0.051 | c. | 0.861 | b. | 0.778 | d. | 1.857 | | | | |
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27.
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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 | | | | |
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28.
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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 | | | | |
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29.
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30.
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If  . which is an equivalent form of  ?
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31.
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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?
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32.
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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?
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33.
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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?
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34.
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What
system of inequalities best represents the graph shown
below?
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35.
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The
total area of a rectangle is  . Which factors could represent the length times width?
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36.
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Which
product of factors is equivalent to  ?
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37.
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What
is  ?
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38.
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Which
product is equivalent to  ?
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39.
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40.
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What
is the simplest form of  ?
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41.
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If
 , what is the value of  ?
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42.
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What
is the product of the complex numbers 
and  ?
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43.
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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?
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44.
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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?
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45.
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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. | | | | |
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46.
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Which
ordered pair is the vertex of  ?
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47.
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Which
equation is equivalent to 
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48.
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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
Micheal’s
work
Brenda’s work
Which is a
completely correct solution?
a. | Jeremy’s work | c. | Shanan’s work | b. | Micheal’s
work | d. | Brenda’s
work | | | | |
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49.
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If
the equation  is graphed, which of the following values of
x would produce a point closest to the x-axis?
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50.
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Given
the equation  where  and  , which statement is valid for real values of
y?
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51.
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If 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
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52.
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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?
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53.
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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 | | | | |
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54.
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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?
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55.
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How
many terms does the binomial expansion of 
contain?
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56.
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What
is the sum of the infinite geometric series
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57.
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What
is the  th term in the arithmetic series
below?
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58.
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Which
expression represents 
if
and  ?
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59.
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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?
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60.
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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?
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61.
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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.)
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62.
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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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63.
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64.
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Which
expression is equivalent to  ?
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65.
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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. | | | | | |
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