Multiple
Choice Identify the choice that best completes the statement
or answers the question.
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1.
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An ice cream cone manufacturer wants to increase the capacity of its sugar cones
by 60%. Which change in dimensions will achieve this goal?
a. | Multiply the height of the cone by 1.6. | b. | Multiply both the
radius and the height of the cone by 1.6. | c. | Multiply the radius of the cone by
60. | d. | Multiply the diameter of the cone by 0.6. |
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2.
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Which graph best represents the inequality ?
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3.
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The product of and
is
a. | | c. | 14 | b. | | d. | 4 |
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4.
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Karen works part time assembling computer desks for an office supplies store.
The store purchases the desks for $54, and Karen is paid $7.25 per hour to assemble them. Each
computer desk is then sold to customers for a cost of $100. The profit earned by the store can be
found using the equation
P = (100 – 54)d – 7.25h. In the
equation, d is the number of computer desks built and h is the number of hours
Karen spent assembling them. If Karen gets a raise of $0.35 per hour, how will this equation
change?
a. | P = (100 – 54)d – 7.60h | c. | P = (100 – 54)d – 7.60(h
+0.35) | b. | P = (100 – 54)d – 7.60h – 0.35 | d. | P = (100 – 54)d – 7.65h |
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5.
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A producer has fixed expenses of $860 to put on a 3-day production of a play.
Each ticket to the play will be sold for $5.25. The line shows the net profit or loss of the producer
based on selling x tickets. What is the minimum number of tickets the producer must sell
over the 3-day period in order to earn a profit? Net Profit or Loss | Tickets
Sold | |
a. | 211 tickets | c. | 186 tickets | b. | 163 tickets | d. | 164 tickets |
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6.
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Written in simplest form, the expression
is equivalent to
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The students in a theatrical design class are designing a set for an
upcoming show. The structure is shown in the picture below.
Layer one has one triangle and layer two contains
three triangles .
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7.
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Refer to the information above. How many top down triangles will be required to make a 12-layer set if the pattern is
continued?
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Several of the German students at a high school went to Germany over their
school’s winter break. The students converted their money to Euros (€). One Euro was
worth $1.25.
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8.
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Refer to the information above. If one student converted $281.25, how many Euros
did the student receive at the money exchange?
a. | 351.56 € | c. | 281.25 € | b. | 22.5 € | d. | 225 € |
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Find the roots of the quadratic equation. Solve by
factoring.
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9.
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a. | –3, –1 | c. | 3, 1 | b. | –7, –9 | d. | 9, 8 |
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The linear function shown below gives the
height of a hang glider after it begins its descent to the ground.
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10.
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According to the linear function shown above, what was the height of the hang
glider when it began its descent?
a. | 13 feet | c. | 600 feet | b. | 575 feet | d. | 10 feet |
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11.
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The parabola shown in the accompanying diagram undergoes a
reflection in the y-axis.
What
will be the coordinates of the turning point after the reflection?
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12.
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A piggy bank contains 6 quarters, 3 dimes, 9 nickels, and
7 pennies. Suppose you randomly select a coin from the bank without looking. What is the
probability of selecting any coin but a penny?
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The table shows the number of students in each grade who participate in
foreign language clubs at Meadowlark High School. Each student participates in only one
club.
Foreign Language
Clubs | Language | 9th
Grade | 10th Grade | 11th Grade | 12th Grade | Spanish | 7 | 5 | 5 | 12 | German | 7 | 15 | 8 | 15 | French | 5 | 10 | 8 | 10 | | | | | |
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13.
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According to the data above, how many students at
Meadowlark High School participate in a foreign language club?
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14.
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Refer to the data above. What percent of the 10th graders who participate
in a foreign language club speak German? Round your answer to the nearest tenth if necessary.
a. | 78.9% | c. | 50% | b. | 55.7% | d. | 45.8% |
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15.
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Which expression is equivalent to ?
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The Department of Motor Vehicles is investigating different license plate
designs. They have come up with five designs:
Design 1: | Two letters (A-Z) followed by four numbers (0-9). | Design 2: | Three letters (A-Z) followed by
three numbers (0-9). | Design 3: | Three numbers (0-9) followed by three letters (A-Z). | Design 4: | Four numbers (0-9) followed by
two letters (A-Z). | Design 5: | Three letters (A-Z) followed by three numbers (0-9), with an image of the state bird on the
plate. | | | All designs allow for the repetition of letters and numbers. The
plates are assigned randomly to drivers.
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16.
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Refer to the information above. If a driver is assigned a plate of
Design 1, what is the probability it will begin with the letter S?
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The bar graph below shows several students’ responses to a survey
that asked what kinds of pets they have in their homes. Some students may have more than one kind of
pet.
Kinds of
Pets | | |
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17.
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According to the graph above, which of the following could be the number of
students surveyed?
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18.
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Hal plans to collect data and plot them in a scatterplot to look for a
relationship. He will compare the amount of time spent studying for a test and the grade earned. What
type of relationship would you expect Hal to see in his scatterplot?
a. | positive relationship | c. | no relationship | b. | skew relationship | d. | negative
relationship |
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19.
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The box-and-whisker plot shows the recorded high temperatures in Jim’s
city last month. Which of the following would be the most accurate measures of central tendency for
the data? High Temperatures
(°F) | | |
a. | the median or mode | c. | the mean or median | b. | the mean or range | d. | the mode or
range |
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20.
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The number of students in second period music class who play certain instruments
is shown in the Venn diagram below. How many students play only the piano? Number of Students Who Play Instruments | | |
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21.
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Angelina is drawing a map of the recess area at her school on a coordinate grid.
If the scale of the map is 1 grid = 4 feet, what is the distance from the jungle
gym to the four-square courts? Round your answer to the nearest tenth if necessary.
a. | 8.5 feet | c. | 34.2 feet | b. | 45.3 feet | d. | 59.5 feet |
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22.
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Figure ABCD is a rhombus. If x = 6, what is the length
of ?
a. | 8 units | c. | 16 units | b. | 4 units | d. | 11.2 units |
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23.
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What transformation would describe the relationship between
Triangle A and Triangle B?
a. | slide | c. | reflection | b. | rotation | d. | dilation |
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24.
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If the figure below is rotated 360 degrees about the given line, which of
the following three-dimensional shapes will be formed?
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25.
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Marina needs to build a frame for her painting. What are the dimensions of the
painting? Round to the nearest tenth if necessary.
a. | 26.5 inches × 20 inches | c. | 20 inches
× 20 inches | b. | 16 inches × 20 inches | d. | 33.2 inches ×
20 inches |
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26.
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Which of the following expressions could be used to determine the shaded area of
the figure?
a. | square feet | c. | square
feet | b. | square feet | d. | square
feet |
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27.
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A metalworker welded a cylinder to a rectangular prism as shown in the figure.
The cylinder has a height of 5 centimeters and radius 3 centimeters. Which expression could
be used to find the volume of the finished product?
a. | cubic centimeters | c. |
cubic centimeters | b. | cubic
centimeters | d. |
cubic centimeters |
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28.
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A team at the Junior Physicists competition designed a rocket with the
dimensions shown in the figure below. What is the volume of the rocket? Use 3.14 for pi and round
your answer to the nearest tenth.
a. | 167.5 cubic inches | c. | 201 cubic inches | b. | 105.5 cubic inches | d. | 249.5 cubic
inches |
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29.
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The graph below shows the function .
Which graph represents the function ?
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30.
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Julia is designing a decal in art class to put on her math folder. She will cut
the decal from a 5-inch by 7-inch sheet of decal paper using the design below and then decorate it.
In the upper two corners of the decal, she wants to cut out two quarter circles both with radius
1.5 inches. What is the perimeter of the final product? Use 3.14 for pi and round your answer to
the nearest tenth.
a. | 22.7 inches | c. | 27.4 inches | b. | 33.6 inches | d. | 13.9 inches |
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31.
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An architect made the rough sketch of the master bedroom in a new house shown
below. If the scale used to create the sketch is 0.25 inches = 1 foot, what is
the actual length of the room?
a. | 16 feet | c. | 1 foot | b. | 8 feet | d. | 21 feet |
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32.
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Mr. Matthews built a tree house for his son. The ladder going up to the tree
house has 11 rungs that are each spaced 11 inches apart. If the top rung is actually built
into the floor of the tree house, how high is the floor above the ground? Round your answer to the
nearest tenth of a foot.
a. | 16.6 feet | c. | 10.1 feet | b. | 121 feet | d. | 7.8 feet |
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33.
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Justi filled a large basin with pond water using a 5-gallon bucket so that he
could store his fish in it while cleaning out the water garden. If it took 117 buckets of pond
water to fill the basin, what is the volume of the basin in cubic feet? (There are approximately
7.5 gallons in each cubic foot of water.) Round your answer to the nearest tenth.
a. | 92.8 cubic feet | c. | 3,290.6 cubic feet | b. | 78 cubic feet | d. | 4,387.5 cubic
feet |
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34.
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A bathtub was filled with 45 gallons of water when the drain was pulled to
empty the tub. The table shows how much water was left in the tub at certain times since the plug was
pulled. Assuming the tub drains at a constant rate, about how many minutes will it take until it is
empty? Round your answer to the nearest tenth of a minute if necessary. Bath Tub
Drain | Time (seconds) | Amount (gallons) | 0 | 45 | 30 | 42.6 | | |
a. | 6.1 minutes | c. | 18.8 minutes | b. | 11.9 minutes | d. | 9.4 minutes |
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A peanut butter cookie recipe is shown below.
Peanut Butter Cookies | 1 cup | sugar | 1 cup | peanut butter | 1 | egg | 1 tsp | vanilla | Mix above ingredients well. Drop by half-teaspoonfuls onto cookie sheet.
Bake at 325° for 10 minutes. Makes 3 dozen cookies. | | |
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35.
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Refer to the recipe above. The serving size is 4 cookies. If each cup of
peanut butter contains 136 grams of fat and the recipe makes 3 dozen cookies, how many
grams of fat are in each serving?
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36.
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The solution set of
is
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37.
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A student in cooking class needs to measure out 32 fluid ounces of water
for a recipe, but she only has a measuring cup labeled in pints, not in ounces. How many pints of
water should she add to the recipe?
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38.
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A student in cooking class needs to measure out 80 fluid ounces of water
for a recipe, but he only has a measuring cup labeled in quarts, not in ounces. How many quarts of
water should he add to the recipe?
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39.
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Which of the following symbols will make a true sentence when inserted in the
blank? ____ 1
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40.
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The formula can be used to approximate the distance, in
miles, that you can see across the ocean on a clear day if you are positioned at a height of
h feet above the water. Simplify the expression to
approximate how far a helicopter pilot can see on a clear day if the helicopter is 1,250 feet
above the surface of the ocean. Round your answer to the nearest tenth of a mile, if
necessary.
a. | 35.4 miles | c. | 66.8 miles | b. | 49.5 miles | d. | 41.8 miles |
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41.
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Last summer the cost of a bushel of corn rose from $3.29 to $3.59. What was the
percent of increase in cost? Round your answer to the nearest tenth of a percent, if
necessary.
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42.
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The expression is equivalent
to
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43.
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Malcom needs a laser printer for his home business and is considering lease and
purchase options. He can lease the printer for a one time processing fee of $50 plus $32.25 per
month. He could also buy the laser printer outright for $745. If Malcom decides to purchase the
printer, for how many months will he need to use it in order to save money over the lease
option?
a. | 22 months | c. | 24 months | b. | 21 months | d. | 20 months |
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44.
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If and ,
what is the value of the expression ?
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45.
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What is a number that would appear between –2.5 and
on the number line?
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46.
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What is a number that would appear to the right of both 1.3 and
on the number line?
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Five points are plotted on the number line as shown
below.
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47.
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Refer to the number line above. Which of the five points would have the
smallest value when squared?
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48.
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Light travels at a speed of approximately 300 million meters per second.
How far does light travel in 15 seconds, expressed in scientific notation?
a. | meters | c. | meters | b. | meters | d. | meters |
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49.
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The solution set of the equation
is
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50.
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What is the best estimate of the area of the figure below? Each square
represents one square unit.
a. | 23 square units | c. | 7 square units | b. | 38 square units | d. | 31 square units |
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51.
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The expression is equivalent
to
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52.
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The expression is equivalent
to
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53.
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Factored completely, the expression
is equivalent to
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