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1
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Nicole organized a class trip to the museum for her science class. She observed
that a linear relationship exists between the number of attendees and the total cost. She recorded
her findings in the table below. Number of
Attendees | Total Cost | 18 | $370 | 20 | $400 | 23 | $445 | 25 | $475 | 28 | $520 | | |
Based on the information in the table, which of
the following is a valid statement about Nicole’s recorded findings?
A. | Nicole’s data is continuous with a domain of . | B. | Nicole’s data is discrete with a domain of . | C. | Nicole’s data is continuous with a domain of . | D. | Nicole’s data is discrete with a domain of . |
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2
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The table shows the total number of points Joel receives while playing a trivia
game. Everyone starts the game with 25 points. Correct
Answers | Total Points | 0 | 25 | 3 | 34 | 5 | 40 | 8 | 49 | 10 | 55 | | |
Based on the information in the table, how many
points will Joel have if he gets 7 answers correct?
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3
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The graph shows the amount of gasoline in a car while driving on
vacation. Based on the information in the graph, how much
gasoline was left in the car after driving 250 miles?
A. | 4 gal | B. | 7 gal | C. | 5
gal | D. | 6 gal |
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4
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A plumber charges $50 for a service call plus $25 per hour for non-scheduled
labor. The total cost C of hiring the plumber to work h hours is shown below. Which of the following best describes the y-intercept of the linear
function?
A. | The plumber charges $25 for a service call. | B. | The plumber charges
a rate of $50 per hour. | C. | The plumber charges a rate of $25 per
hour. | D. | The plumber charges $50 for a service call. |
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5
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The president of the chess club plotted values on the graph below to show how
the membership of the chess club increased as the number of days since the start of school increased.
The slope of the dashed line segment joining these points is . What does the slope of the dashed line segment represent?
A. | Every 3 days, 2 new members join the chess club. | B. | Every 3 days, the
chess club membership decreases by 2. | C. | Since the beginning of school, 6 new members
have joined the chess club. | D. | Every 2 days, 3 new members join the chess
club. |
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6
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Sean was on an elevator as it descended from a height of 50 feet to ground
level. The coordinate grid below models the height of the elevator. Which of the
following best describes the x-intercept of the linear function?
A. | It takes the elevator 50 seconds to reach ground level. | B. | The initial height
of the elevator is 50 feet. | C. | It takes the elevator 15 seconds to reach
ground level. | D. | Every 3 seconds, the elevator descends 10 feet. |
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7
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A middle school track team has 24 members. There are 4 more boys, y, than
girls, x. This situation can be modeled by the equations below. Total members: More boys than girls: How many girls are on the
track team?
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8
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The tables below show the number of small and large plastic cups a concession
stand manager ordered during a two-week period. Week
One | | Week
Two | Small Cups | Large Cups | | Small Cups | Large
Cups | 62 | 80 | | 41 | 74 | | | | | |
The manager spent $43.50 on cups the first week and $36.15 the second
week. If the manager purchases 50 small cups and 85 large cups the third week, how much will she
spend in dollars and cents?
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9
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Wheelie Sports charges a daily rate of $30 to rent rollerblades. Casters
Blasters charges an initial fee of $10 plus $5 per hour to rent rollerblades. These rates are modeled
on the graph below. After how many hours will it cost more to
rent rollerblades from Casters Blasters than Wheelie Sports?
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10
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Which equation best represents the relationship shown in the table?
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11
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The graph shows the height y (in meters) of a skydiver x minutes
after he opens his parachute. Which equation best represents the relationship
shown in the graph?
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12
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Which of the following situations is best modeled by the graph below?
A. | Jason’s salary over a 15 year period | B. | the price of a car
as time passes | C. | the cost of a phone call at $0.10 per minute | D. | the outside
temperature during the course of a year |
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13
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The sales of a new cell phone increase at a constant rate during the first half
of the year and then level off for the rest of the year. Which graph best illustrates the sales of
the cell phone during the entire year?
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14
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Julian is standing 26 feet from a street light. His shadow is 10 feet as shown
in the figure below. What is the height h of the street light?
A. | 36 ft | B. | 18 ft | C. | 13
ft | D. | 72 ft |
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15
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In the figure below, and are similar
triangles. What is the height, in
centimeters, of ?
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16
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Parallel lines a and b are intersected by transversal t as
shown below. Suppose the measure of is
less than 90°, which of the following are NOT congruent?
A. | alternate exterior angles | B. | corresponding angles | C. | alternate interior
angles | D. | same side exterior angles |
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17
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A carpenter uses a miter saw to crosscut a board as shown by the dashed line in
the figure below. What is the measure of angle x that is
formed by the crosscut?
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18
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Parallel lines m and n are intersected by transversal t as
shown below. What is the measure, in degrees, of ?
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19
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In the figure below, lines a and b are parallel. Two transversals
intersect on a, forming several angles, as shown on the diagram below. If
is congruent to , what is the measure, in degrees, of ?
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20
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The floor of a gazebo is shaped like a regular octagon. A boundary for a flower
garden coincides with one side of the gazebo and forms as shown in the figure. What is
the measure of ?
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21
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The bases of the triangles shown below are on the same line. What is the measure, in degrees, of ?
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22
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Andy and some friends are going on an ATV ride. They ride from their camp to the
lake, then to the store, and then straight back to camp. The location of each destination is shown on
the coordinate plane below. What is the total distance, in kilometers, of
their ATV ride?
A. | 27.9 km | B. | 30 km | C. | 13
km | D. | 22.8 km |
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23
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The department of transportation is repairing Washington Avenue. To avoid the
construction zone, Mr. Roberts drives north 1.2 miles and then west 1.6 miles as shown below. What is the distance, in miles, of Washington Avenue that Mr. Roberts avoids by
taking the detour?
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24
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The box-and-whisker plot shows the variability of the number of points a
basketball team scored in each game during the season. Points Scored | | |
Which of the following statements is NOT supported by the
box-and-whisker plot?
A. | The median number of points scored is 58. | B. | The team scored
between 63 and 77 points in 50% of the games. | C. | The range of the scores is 31
points. | D. | In 25% of the games, the team scored less than 52
points. |
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25
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The scatter plot shows the relationship between age and the yearly salary of
several people in the same profession. Which of the following best
describes this relationship?
A. | As age increases, the yearly salary increases. | B. | As age decreases,
the yearly salary increases. | C. | As age increases, the yearly salary
decreases. | D. | There is no relationship between age and the yearly
salary. |
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26
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Amy conducts a survey to collect data about cell phones. She wants to plot the
data in a display that shows popularity by brand name. Which of the following data displays would be
best suited for this?
A. | bar graph | B. | circle graph | C. | line
graph | D. | scatter plot |
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27
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The table shows the number of absent students at Hamilton Middle School for the
first four days of the week. Day | Absent Students | Monday | 9 | Tuesday | 3 | Wednesday | 4 | Thursday | 8 | Friday | | | |
What is the maximum number of students that can be absent on Friday in
order to have a mean that is no greater than 5?
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28
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The stem-and-leaf plot shows the distances (in miles) between a college and the
homes of several college freshman. Distance from Home | Stem | Leaf | 0 | 3 5 7
8 | 1 | 2 2
4 5 6 9 | 2 | 1 | 3 | | 4 | 4 | | Key: 1|2 = 12 mi | | |
How much greater, to the
nearest tenth of a mile, is the mean of the data set with the outlier than the mean without
the outlier?
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29
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The table shows the bowling scores for 5 games. Game | 1 | 2 | 3 | 4 | 5 | 6 | Score | 142 | 168 | 135 | 157 | 181 | | | | | | | | |
The
median score for all 6 games is 150. What is the score of the sixth game?
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30
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The equation gives the amount of money M that Carlos has
after buying t movie tickets. Which of the following is the same equation solved for t
in terms of M?
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31
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Lauren is saving to buy a new computer. She has already saved $350 and plans to
save $25 per week. This situation can be modeled by the equation , where T is
the total amount saved (in dollars) and w is the number of weeks. Which of the following is
the same equation solved for w in terms of T?
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32
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Which number line shows the solution to the inequality ?
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33
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Michelle needs at least 250 points to advance to the next topic in a trivia
game. She already has 185 points and earns 15 points for each correct answer. The number, a,
of correct answers that Michelle needs to advance can be modeled by the inequality . What
is the minimum number of correct answers for her to advance to the next topic?
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34
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A shampoo distributor uses a 5-gallon container of shampoo to fill large and
small bottles as shown in the table. Bottle Size | Number
Filled | Bottle Capacity | Large | 15 | 720 milliliters | Small | 20 | 400 milliliters | | | |
How much shampoo, in
milliliters, is left in the 5-gallon container?
A. | 17,805 ml | B. | 125 ml | C. | 201
ml | D. | 18,800 ml |
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35
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Wayne rode his bike around the block 4 times. His block is square with a side
length of 462 feet. How many miles did he ride?
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36
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Lawrence ran 100 yards in 12.4 seconds. What was his speed, in miles per
hour, to the nearest tenth?
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37
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In 2009, the richest American was Bill Gates with an estimated net worth of
$50,000,000,000. What is this value written in scientific notation?
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38
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What is 0.0000042 written in scientific notation?
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39
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The attendance at a college football game is . Of the attendees,
10% are cheering for the visiting team. How many fans at the football game are cheering for the
home team?
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40
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The radius of a round pool is feet. Which is the closest
to the length, in feet, of the radius?
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41
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While walking to school, Billy takes the short cut shown in the diagram
below. Which of the following is the closest to the
distance, in yards, of the short cut?
A. | 90 yd | B. | 15 yd | C. | 120
yd | D. | 86 yd |
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42
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Which of the following is a false statement?
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43
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Which of the following is equivalent to ?
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44
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What is the value of the expression ?
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45
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Tonya is buying a dress that is on sale for 20% off. The original price of the
dress is $45.50. If the sales tax rate is 6.5%, what is the total cost, in dollars and cents,
of the dress?
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46
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The equatorial circumference of the moon is kilometers. This
is 27.5% of the equatorial circumference of Earth. What is the circumference of Earth?
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