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1.
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If Point T is divided by  , will the quotient be
greater than T, between T and 0, between 0 and – T, or less than
– T?  a. | between T and 0 | c. | greater than T | b. | less than
–T | d. | between 0
and –T |
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2.
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The subtotal of a customer’s order was $36.74 after using a coupon good
for 15% off. Which of the following operations could be used to calculate the total price before the
discount was applied?
a. | divide the subtotal by 0.15 | c. | divide the subtotal by
0.85 | b. | multiply the subtotal by 0.15 | d. | multiply the subtotal by
0.85 |
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Find the value of each expression. Round decimals to the nearest hundredth
if necessary.
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3.
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4.
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Of the choices provided, which number is located between Points C
and D on the number line pictured below? 
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5.
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What is one possible answer when the number 1 is divided by a positive
number larger than 1?
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6.
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Which of the following should be done first in the expression below?  a. | 13 ´ 9 | c. | 14
¸ 9 | b. | 13 ´ 2 | d. | 2 -
14 |
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7.
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Newton’s second law of motion can be modeled by the equation  where F is the force applied to an object, m is the mass of the object, and
a is the resulting acceleration. For example, a force of 350 Newtons is required to
accelerate a 3.5-kilogram object at 100 meters per second 2. If the same amount of
force is applied to an object that has a mass of 1.75 kilograms, what will the resulting
acceleration be? a. | 800 meters per second2 | c. | 100 meters per
second2 | b. | 400 meters per
second2 | d. | 200 meters per second2 |
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8.
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Ralph mixes paint for his art projects in a can with the dimensions shown below.
If he wants to be able to mix 70% more paint in the can, which of the following changes in dimensions
will accomplish this?  a. | Multiply the height of the can by 0.7. | b. | Multiply the radius of the can by
0.7. | c. | Multiply the diameter of the can by 1.7. | d. | Multiply the height
of the can by 1.7. |
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9.
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Fitness experts rely on a calculation called the Basal Metabolic Index (BMI) to
determine whether a person is overweight. The BMI is calculated using a formula, which for a person
60 inches tall is given by  , where w is the person’s weight
in pounds and B is the BMI. Which of the following equations is equivalent to  ?
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10.
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The performance review scores for several employees in a work group are shown in
the table. Which of the following measures would make the average score appear as high as
possible? Employee
I.D.
Number | Performance
Review
Score | 101 | 86 | 102 | 90 | 103 | 87 | 104 | 77 | 105 | 78 | 106 | 72 | 107 | 84 | 108 | 87 | | |
a. | mean | c. | mode | b. | median | d. | range |
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11.
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According to the graph above, which of the following could be the number of
students surveyed?
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12.
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The scatterplot shows the average resale value of a particular car model after
different lengths of time. Use the line of best fit to predict the resale value of the car after
10 years. Car
Depreciation |   | |
a. | $7.80 | c. | $5,800 | b. | $15,000 | d. | $7,800 |
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13.
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Lucy surveyed people at an amusement park and asked them to name their favorite
roller coaster. The results are shown in the bar graph below. Which of the following statements best
describes why the graph might be considered misleading? Favorite Roller Coaster Ride |   | |
a. | There is a break in the vertical axis of the graph. | b. | The title of the
graph is misleading. | c. | There is no scale on the vertical
axis. | d. | There are no labels on the horizontal axis. |
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14.
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What will the coordinates of Triangle RST be after it is translated
4 units down and 3 units left?  a. | R′(–1, –2), S′(8, –1), T′(5, –9) | c. | R′(–1, 6), S′(8, 7), T′(5, –1) | b. | R′(–7, –2), S′(8, –1), T′(–1, –1) | d. | R′(–7, –2), S′(2, –1), T′(–1, –9) |
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15.
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A bicycle rental company charges customers a deposit of $3.00 plus an hourly
rate as shown in the graph. What is the slope of the line joining these points, and what does the
slope represent? Bicycle Rental
Rates |   | |
a. | The slope is 1.5. This means that a customer used the bicycle for
1.5 hours. | b. | The slope is 3. This represents the deposit of $3.00. | c. | The slope is 1.5.
This represents the rental charge of $1.50 per hour. | d. | The slope is 3. This represents the rental
charge of $3.00 per hour. |
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Rectangle ABCD is shown below in the figure, with diagonals  and  intersecting at
Point E.
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16.
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Refer to the rectangle above. What basic fact about rectangles allows you to say
that  ? a. | A rectangle is a type of parallelogram. | b. | All quadrilaterals
have congruent sides. | c. | The diagonals of a rectangle bisect each
other. | d. | Opposite sides of a rectangle are congruent. |
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Rhombus ABCD is shown below, with diagonals  and  intersecting at Point E.
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17.
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Refer to rhombus ABCD above. Which set of triangles is
congruent?
a. |  s CDA and DAB | c. |  s CDA and
CDE | b. |  s CDA and CDB | d. |  s CDA and
CAB |
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18.
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In the figure below, a square is inscribed inside of a circle creating four
equally sized regions. Which of the following expressions could be used to determine the area of the
shaded region?  a. |  square feet | c. |  square
feet | b. |  square feet | d. |  square
feet |
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19.
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The cylindrical beaker below holds 1 liters of liquid. Given that
1 cubic centimeter is equivalent to 1 milliliter, find the height of the beaker. Use 3.14
for pi and round your answer to the nearest tenth.  a. | 8.8 centimeters | c. | 6.5 centimeters | b. | 53.1 centimeters | d. | 12.1 centimeters |
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20.
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Barb used 2.5 small jars of model paint to cover the surface of a sphere
for a science project. Each jar of paint covers about 120 square inches of area. What is the
radius of the sphere to the nearest tenth of an inch? Use 3.14 for pi.
a. | 7.6 inches | c. | 9.8 inches | b. | 6.8 inches | d. | 4.9 inches |
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21.
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A sketch of the city pond in Centerville is shown below.  A small island was made in the middle of the pond. The city must now fill the pond
with fish. Using the dimensions on the sketch, which of the following expressions could be used to
determine the area of the water to be stocked with fish?
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22.
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A local computer store sells computers for $299. The store makes a profit of $60
for each computer sold. If the store made a monthly profit of $1,440, how much money did it take in
during the month?
a. | $27,384 | c. | $7,176 | b. | $17,280 | d. | 24 |
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23.
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When Julio first brought his new puppy home, the puppy weighed 2 pounds
12 ounces. After several weeks the puppy had grown to 3 pounds 7 ounces. What was the
percent of increase in the weight of the puppy during this time period? Round your answer to the
nearest tenth, if necessary. (Hint: Remember 1 pound is equivalent to 16 ounces.)
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24.
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Order the set of rational numbers from least to greatest.  ,
 ,  ,  a. |  ,  ,  ,  | c. |  ,  ,  ,  | b. |  ,  ,  ,  | d. |  ,  ,  ,  |
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25.
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A safety engineer calculates the minimum length of a guy wire supporting a radio
antenna to be  meters long. Between what two
consecutive integers does  lie on a number line? a. | 21 and 22 | c. | 25 and 26 | b. | 22 and 23 | d. | 23 and 24 |
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The table shows the mass (in kilograms) of several
planets.
Mass of
Planets | Planet | Mass
(kilograms) | | Mercury | | | Saturn | | | Neptune | | | Jupiter | | | Source: http://www.noblemind.com | | |
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26.
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Which of the four planets listed in the table above has the largest mass?
a. | Neptune | c. | Jupiter | b. | Earth | d. | Venus |
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27.
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Express 0.00000762 using scientific notation.
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28.
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Y, R, N, and G represent four points on the number
line. Which point will have the smallest value when it is divided by  ? 
a. | Point Y | c. | Point G | b. | Point R | d. | Point N |
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29.
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Use mental math to find the product. 
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30.
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A landscaper wants to plant rose bushes around the circumference of a circular
fountain in a park. The radius of the fountain is 8 feet. The landscaper will plant the bushes
2 feet from the fountain with 2 feet between each bush along the circumference. Use 3 as an
approximation for pi to estimate how many rose bushes will be needed.  a. | about 15 rose bushes | c. | about 60 rose bushes | b. | about 30 rose bushes | d. | about 42 rose
bushes |
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31.
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What is a number that would appear between 1.3 and  on the
number line?
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32.
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A bicycle store is offering to sell an assembled bike at a special price. They
plan to charge $90 per bike and have to pay their worker $11 per hour to do the assembly. The store
determines its profit by the following formula:  P is the profit,
a is the number of bikes assembled, and t is the hours spent making one
bike. What equation shows the amount of profit earned if the worker makes 3 bikes?
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33.
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Simplify the following expression. 
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34.
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Scientists convert between temperatures in Fahrenheit and Celsius by using the
formula  , where C is the temperature in degrees
Celsius and F is the temperature in degrees Fahrenheit. If the temperature in Celsius is
–15°, what is the temperature in degrees Fahrenheit? a. | –40°F | c. | –26°F | b. | 31°F | d. | 5°F |
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Students in a class were asked how many pets they had at home. Their
answers are given below.
0, 0, 0, 0, 2, 2, 2, 2, 3, 3, 4, 5, 6, 6, 6, 6, 7, 7, 7, 7, 7,
8, 8, 8, 8
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35.
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Refer to the data above. What is the range of answers in the pet survey?
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The information in the table was compiled from a survey of state park
users’ participation in various outdoor activities.
Participation of
State Park Users (thousands) | Age | Hiking | Camping | Picnicking | Boating | Total | 18–29 | 6.6 | 10.2 | 6.3 | 6.4 | 29.5 | 30–45 | 9.4 | 8.7 | 5.6 | 7.7 | 31.4 | 46–60 | 4.8 | 3.4 | 11.5 | 6.3 | 26.0 | 60+ | 5.5 | 3.7 | 11.9 | 5.3 | 26.4 | Total | 26.3 | 26.0 | 35.3 | 25.7 | 113.3 | | | | | | |
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36.
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Refer to the above Participation of State Park Users table. Which age group
had the highest percentage of its members participating in hiking?
a. | 46-60 | c. | 18-29 | b. | 60+ | d. | 30-45 |
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37.
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The line graph shows the projected sales figures of a company over the next
4 years. Which of the following statements best describes why the graph might be considered
misleading? Projected Sales
Figures |  | |
a. | The title of the graph is misleading. | b. | There is a break in the horizontal axis of the
graph. | c. | The scale of the horizontal axis is too great. | d. | There is no scale on
the vertical axis. |
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38.
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The table shows the number of absent students each week at Mariemont High
School during the first eight weeks of the school year. Which of the following measures would
make the number of absent students per week appear as small as possible? a. | range | c. | mode | b. | mean | d. | median |
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39.
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Use triangle similarity to find the length of BD.
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40.
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In the manufacturing of a car part, the solid below is cut in half by a knife
passing from its top directly through to its bottom, in the same orientation as it appears.  What is the most accurate representation of the resulting cross section?
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41.
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Point  in the graph below is reflected through the
line  and then through the line  .  What are the coordinates of
Point  , the image of Point  ?
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42.
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Triangle ABC, shown in the diagram below, is an isosceles triangle where
 . What is the measure, in degrees, of  ? 
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43.
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What is the midpoint of  with endpoints
M(–5, –8) and N(4, 9)? 
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44.
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Tina is making a Valentine’s Day card for her mother on a 9-inch-by-8-inch
sheet of construction paper. Along the perimeter of the card, she will glue a length of red ribbon.
She will also glue quarter circles of the ribbon in each corner of the card as shown in the figure.
The radius of each quarter circle is 1.8 inches. How much red ribbon will Tina need for the
card? Round your answer to the nearest tenth of an inch.  a. | 45.3 inches | c. | 52.1 inches | b. | 79.2 inches | d. | 82.7 inches |
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45.
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A group of students calculates the height of a tree to be  feet. Express this radical in simplest form. a. |  | c. | 25 | b. | 125 | d. |  |
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46.
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What is the value of the expression below? 
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47.
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Luis bought a new calculator from an office supplies store. After tax, the total
came to $50.88. If the sales tax rate is 6%, what was the price of the calculator before tax?
a. | $42.00 | c. | $52.70 | b. | $48.00 | d. | $46.25 |
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48.
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In the first million decimal places of pi, there are 100,229 3’s. What
percentage is closest to  , the fraction of digits that are
3’s? a. | 0.1% | c. | 10.02% | b. | 89.98% | d. | 1% |
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49.
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Lisa wants to evaluate the following expression:  What
value is equivalent to the expression? a. | 20,736 | c. | 0.002 | b. | 0.012 | d. | –0.002 |
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50.
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In 1987, there were approximately 5,000,000,000 people living on earth. In
1999, the population of earth was approximately 6,000,000,000 people. What was the approximate
percent of increase in the population of earth from 1987 to 1999?
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51.
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The expression  is equivalent
to
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52.
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For 10 days, Romero kept a record of the number of hours he
spent listening to music. The information is shown in the table below.
Which scatter plot shows Romero’s data graphically?
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53.
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Which expression represents  in simplest
form?
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54.
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The expression  is equivalent
to
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55.
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The equations  and 
represent the money collected from school concert ticket sales during two class periods. If
x represents the cost for each adult ticket and y represents the cost for each student
ticket, what is the cost for each adult ticket?
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56.
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The data set 5, 6, 7, 8, 9, 9, 9, 10, 12, 14, 17, 17, 18,
19, 19 represents the number of hours spent on the Internet in a week by students in a mathematics
class. Which box-and-whisker plot represents the data?
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57.
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Given:
What is the
intersection of sets A and B?
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58.
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Tanya runs diagonally across a rectangular field that has a
length of 40 yards and a width of 30 yards, as shown in the diagram below.
What is the length of the diagonal, in yards, that Tanya runs?
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59.
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What is an equation for the line that passes through the
coordinates  and  ?
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60.
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What is the slope of the line containing the points  and  ?
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61.
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The expression  is equivalent
to
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62.
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Which inequality is represented by the graph
below?
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63.
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What is the quotient of  and  ?
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64.
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What is the sum of 
and  expressed in simplest form?
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65.
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Julia went to the movies and bought one jumbo popcorn and
two chocolate chip cookies for $5.00. Marvin went to the same movie and bought one jumbo
popcorn and four chocolate chip cookies for $6.00. How much does one chocolate chip cookie
cost?
a. | $0.50 | c. | $1.00 | b. | $0.75 | d. | $2.00 |
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66.
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In a science fiction novel, the main character found a
mysterious rock that decreased in size each day. The table below shows the part of the rock
that remained at noon on successive days.
Which
fractional part of the rock will remain at noon on day 7?
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67.
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In the diagram below, what is the slope of the line passing
through points A and B?
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68.
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Which equation shows a correct trigonometric ratio for angle
A in the right triangle below?
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69.
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Debbie solved the linear equation 
as follows:
She made an error
between lines
a. | 1 and 2 | c. | 3 and
4 | b. | 2 and 3 | d. | 4 and
5 |
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70.
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Which expression represents  in simplest
form?
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71.
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Which ordered pair is a solution of the system of equations
shown in the graph below?
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72.
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Which equation represents the line that passes through the
points  and  ?
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