Multiple Choice
Identify the choice that best completes the statement or
answers the question.
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1.
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In the accompanying diagram, lines a and b are
parallel, and lines c and d are transversals.
Which angle is congruent to angle
8?
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2.
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A deli has five types of meat, two types of cheese, and
three types of bread. How many different sandwiches, consisting of one type of meat, one type
of cheese, and one type of bread, does the deli serve?
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3.
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The accompanying histogram shows the heights of the students
in Kyra’s health class.
What is the total number of students in the
class?
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4.
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If  represents an odd integer,
the next larger odd integer is represented by
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5.
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What is the solution set of the equation  ?
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6.
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The image of point  under the
translation that shifts  to  is
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7.
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Which letter has point symmetry but not line
symmetry?
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8.
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If  , then x could be
equal to
A) | 1 | C) |  | B) | 5 | D) |  |
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9.
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What is the sum, in degrees, of the measures of the interior
angles of a pentagon?
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10.
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Sean knows the length of the base, b, and the area,
A, of a triangular window in his bedroom. Which formula could he use to find the height,
h, of this window?
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11.
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In Ms. Wright’s English class, 16 students are in
band, 7 students play sports, 3 students participate in both activities, and 9 students are not in
band and do not play sports. How many students are in Ms. Wright’s English
class?
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12.
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What is the solution set for the equation  ?
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13.
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Which equation represents a line that is parallel to the
line whose equation is  ?
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14.
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When  is subtracted from  , the difference is
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15.
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The coordinates of point R are 
and the coordinates of point T are  . What is the length
of  ?
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16.
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Which point is in the solution set of the system of
inequalities shown in the accompanying graph?
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17.
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A cake recipe calls for 1.5 cups of milk and 3 cups of
flour. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use
to keep the proportions correct?
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18.
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When  is divided by  , the result is
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19.
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The accompanying diagram shows the graphs of a linear
equation and a quadratic equation.
How many solutions are there to this system of
equations?
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20.
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Jorge made the accompanying stem-and-leaf plot of the
weights, in pounds, of each member of the wrestling team he was coaching.
What is the mode of
the weights?
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21.
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Tina wants to sew a piece of fabric into a scarf in the
shape of an isosceles triangle, as shown in the accompanying diagram.
What are the values of
x and y?
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22.
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The expression  is equivalent
to
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23.
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The expression  is equivalent
to
A) |  | C) | 6 | B) |  | D) | 18 |
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24.
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What is the solution set of the equation  ?
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25.
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The accompanying figure represents a section of bathroom
floor tiles shaped like regular hexagons.
What is the measure of angle ABC?
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26.
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If  , then 
is equivalent to
A) |  | C) | 1000 | B) |  | D) | 0 |
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27.
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Which graph represents the equation  ?
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28.
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On a scale drawing of a new school playground, a triangular
area has sides with lengths of 8 centimeters, 15 centimeters, and 17 centimeters. If the
triangular area located on the playground has a perimeter of 120 meters, what is the length of its
longest side?
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29.
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The length of a side of a square window in Jessica's
bedroom is represented by  . Which expression represents the area
of the window?
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30.
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Which equation represents a line that is perpendicular to
the line whose equation is  ?
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31.
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The probability that the Cubs win their first game is  . The probability that the Cubs win their second game is  . What
is the probability that the Cubs win both games?
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32.
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Cole's Ice Cream Stand serves sixteen different flavors
of ice cream, three types of syrup, and seven types of sprinkles. If an ice cream sundae
consists of one flavor of ice cream, one type of syrup, and one type of sprinkles, how many different
ice cream sundaes can Cole serve?
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33.
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The value of  is
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34.
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A stop sign in the shape of a regular octagon is resting on
a brick wall, as shown in the accompanying diagram.
What is the measure of angle x?
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35.
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The height of a golf ball hit into the air is modeled by the
equation  , where h represents the height, in
feet, and t represents the number of seconds that have passed since the ball was hit.
What is the height of the ball after 2 seconds?
A) | 16 ft | C) | 64
ft | B) | 32 ft | D) | 80
ft |
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36.
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The sum of Scott's age and Greg's age is 33
years. If Greg's age is represented by g, Scott's age is represented by
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37.
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The accompanying diagram shows two parallel streets, Main
Street and Brooks Road, intersected by Jay Street. The obtuse angle that Jay Street forms with
Brooks Road is three times the measure of the acute angle that Jay Street forms with Main
Street.
What is the measure of the acute angle formed by Jay
Street and Main Street?
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38.
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The expression 
is equivalent to
A) | 0.062 | C) |  | B) | 62,000 | D) |  |
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39.
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What is the identity element for  in the
accompanying table?
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40.
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A line segment on the coordinate plane has endpoints  and  . The midpoint of the segment is point
(3,7). What is the value of y?
A) | 11 | C) | 5 | B) | 10 | D) |  |
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41.
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Which numbers are arranged from smallest to
largest?
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42.
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In a certain quadrilateral, two opposite sides are parallel,
and the other two opposite sides are not congruent. This quadrilateral could be a
A) | rhombus | C) | square | B) | parallelogram | D) | trapezoid |
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43.
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A bicyclist leaves Bay Shore traveling at an average speed
of 12 miles per hour. Three hours later, a car leaves Bay Shore, on the same route, traveling
at an average speed of 30 miles per hour. How many hours after the car leaves Bay Shore will
the car catch up to the cyclist?
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44.
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What is the value of 
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45.
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What is the sum of  and  ?
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46.
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If  , then x is equal
to
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47.
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What is the y-intercept of the graph of the line
whose equation is  ?
A) |  | C) | 0 | B) |  | D) | 4 |
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48.
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Which is an equation of the line of symmetry for the
parabola in the accompanying diagram?
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49.
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For which value of x will the fraction  be undefined?
A) |  | C) | 0 | B) | 2 | D) |  |
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50.
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In order to be admitted for a certain ride at an amusement
park, a child must be greater than or equal to 36 inches tall and less than 48 inches tall.
Which graph represents these conditions?
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51.
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The accompanying circle graph shows how Shannon earned $600
during her summer vacation.
What is the measure of the central angle of the
section labeled "Chores"?
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52.
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In the equation  , t is equivalent
to
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53.
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The accompanying Venn diagram shows the results of a survey
asking 100 people if they get news by reading newspapers or by watching television.
What is the
probability that a person selected at random from this survey does not claim television as a source
of getting the news?
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54.
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The expression  is equivalent
to
A) |  | C) | 8 | B) |  | D) | 4 |
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55.
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The ratio of two supplementary angles is  . What is the measure of the smaller angle?
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56.
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The Edison Lightbulb Company tests 5% of their daily
production of lightbulbs. If 500 bulbs were tested on Tuesday, what was the total number of
bulbs produced that day?
A) | 25 | C) | 10,000 | B) | 1,000 | D) | 100,000 |
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57.
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Which inequality is represented by the accompanying
graph?
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58.
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What is the value of x in the equation  ?
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59.
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The accompanying box-and-whisker plot represents the scores
earned on a science test.
What is the median score?
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60.
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What is the value of x in the equation  ?
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61.
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What is the sum of  and  ?
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62.
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Jordan and Missy are standing together in the schoolyard.
Jordan, who is 6 feet tall, casts a shadow that is 54 inches long. At the same time, Missy
casts a shadow that is 45 inches long. How tall is Missy?
A) | 38 in | C) | 5
ft | B) | 86.4 in | D) | 5 ft 6
in |
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63.
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The accompanying graph shows the high temperatures in
Elmira, New York, for a 5-day period in January.
Which statement describes the data?
A) | median = mode | C) | mean <
mode | B) | median = mean | D) | mean =
mode |
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64.
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Which ordered pair is in the solution set of the system of
inequalities shown in the accompanying graph?
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65.
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The measures of two consecutive angles of a parallelogram
are in the ratio  . What is the measure of an obtuse angle
of the parallelogram?
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66.
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What is the value of w in the equation  ?
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Short Answer
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1.
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As shown in the accompanying diagram, the length, width, and
height of Richard’s fish tank are 24 inches, 16 inches, and 18 inches, respectively.
Richard is filling his fish tank with water from a hose at the rate of 500 cubic inches per
minute. How long will it take, to the nearest minute, to fill the tank to a depth of 15
inches?
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2.
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The accompanying diagram shows a kite that has been secured
to a stake in the ground with a 20-foot string. The kite is located 12 feet from the ground,
directly over point X. What is the distance, in feet, between the stake and point
X?
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3.
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Nine hundred students were asked whether they thought their
school should have a dress code. A circle graph was constructed to show the results. The
central angles for two of the three sectors are shown in the accompanying diagram. What is the
number of students who felt that the school should have no dress code?
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4.
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In the accompanying diagram, the perimeter of  is equal to the perimeter of square ABCD. If the sides of the triangle are
represented by  ,  , and  ,
and one side of the square is represented by  , find the length of a side
of the square.
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5.
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Mr. Petri has a rectangular plot of land with length = 20
feet and width = 10 feet. He wants to design a flower garden in the shape of a circle with two
semicircles at each end of the center circle, as shown in the accompanying diagram. He will
fill in the shaded area with wood chips. If one bag of wood chips covers 5 square feet, how
many bags must he buy?
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6.
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Simplify: 
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