usatestprep, inc. - utopian academy for the arts … ) you are going to roll two dice. let the...
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88tthh GGrraaddee TThhaannkkssggiivviinngg PPaacckkeett
Student Name: _______________________ Date: _________Teacher Name: Jalethea Howard Score: _________
11)) Solve for z.
55zz –– 88 == 3322
A) z = 4
B) z = 6
C) z = 8
D) z = 4.8
22))
Find the measure of ∠G.
A) 50°B) 54°C) 60°D) 71°
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33)) You are going to roll two dice. Let the variable x = the sum of the numbers rolled.
What is the probability that x = 9?
A)1
12
B)1
9
C)3
4
D)5
12
44)) Identify the linear graph.
A)
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B)
C)
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D)
55)) Identify the reflection rule on a coordinate plane that verifies that triangle A(-2,3), B(-3,-2), C(-10,0) and triangle A'(2,3), B'(3,-2),
C'(10,0) are congruent when reflected over the y-axis.
A) (x, y) → (-x, -y)
B) (x, y) → (x, -y)
C) (x, y) → (-x, y)
D) the triangles are not congruent
66)) Which relation describes a function? What makes it a function?
A) {(-2,3),(-2,5),(-6,7)} Each member of the range is unique.
B) {(2,3),(3,3),(3,4)} Each member of the domain and range is positive.
C) {(2,3),(3,3),(3,4)} Each member of the domain and range is a real number.
D) {(-2,3),(-3,3),(-4,3)} Each member of the domain is assigned exactly one member of the range.
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77))
What kind of transformation does the graph show?
A) flip
B) rotation
C) slide
D) translation
88)) Δ ABC is isosceles. Angles B and C are congruent. The m∠A = 40°, m∠B = (3x + 1)°. Find x.
A) 13
B) 23
C) 46.3
D) 70
99))
xx ++ 22yy == 3333xx -- 22yy == 55
What is the solution to the system of equations?
A) (4, 3.5)
B) (2, 1/2)
C) (2, -1)
D) (1/2, 2)
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1100))
xx yy
0 2
5
313
2
6 11
7
The table represents a linear function. Which values complete the table?
A) x = 1, y = 21
2
B) x = 1, y = 25
2
C) x = 2, y = 21
2
D) x = 2, y = 25
2
1111)) Is the height of a rocket a function of time? Justify.
A) No; The atmosphere is constantly changing.
B) No; At any given time wind resistance can vary.
C) No; At any given time, the rocket's speed can vary.
D) Yes; At any given time the rocket is at exactly one height.
1122)) The planet Mars has two moons – Phobos and Deimos. Phobos has a mass of 10.8 × 1015 kilograms, and Deimos has a mass of
2.0 × 1015 kilograms. How much greater is the mass of Phobos than the mass of Deimos?
A) 8.8 × 1015 kilograms
B) 8.8 × 1016 kilograms
C) 9.2 × 1014 kilograms
D) 9.2 × 1015 kilograms
1133)) Identify the linear equation.
A) y = lxl + 5
B) y = 1
2x + 3
C) y = x2 - 4
D) y = 3
4x2
1144)) In the function y = 15.00x + 5, y represents the cost of a ticket to the fair and x represents the number of tickets purchased. How
much does the cost increase for every ticket purchased?
A) x
B) $5.00
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C) $15.00
D) $20.00
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1155)) Evaluate: 20
5·2-3
A)1
2
B) 2
C)32
5
D) 32
1166)) Solve the system.
00..44xx -- 00..11yy == 22
00..22xx ++ 00..55yy == 11
A) (5, 0)
B) (0, 5)
C) (-5, 0)
D) (3, -10)
1177))
The graphs represent Daniel's ride to the ballpark. Considering both graphs, which statement is FALSE?
A) Daniel's speed decreased as he got closer to the park.
B) Daniel made no additional stops on his way to the ballpark.
C) The distance to the ballpark is greater on the speed/time graph.
D) Daniel's ride to and from the park is shown on the speed/distance graph.
1188))
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Which equation is the BEST fit for the data in the graph?
A) y = x + 2
B) y = 2x + 1
C) y = x - 1
2
D) y = 1
2x - 1
1199))
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IInnppuutt OOuuttppuutt
1 x
5 3
13 y
Use the graph to complete the input-output table. List the answer in the format of x,y.
A) 1, 4
B) 2, 2
C) 2, 3
D) 2, 5
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2200))
FFoorreeiiggnn LLaanngguuaaggeess
JJuunniioorrss SSeenniioorrss
French 32 20
German 25 30
Latin 18 15
Spanish 58 45
The table shows the break down of the number of juniors and seniors taking foreign languages and which foreign language they are
taking. What is the probability that a junior is taking Spanish?
A) 0.239
B) 0.436
C) 0.547
D) 0.761
2211))
The graph represents part of Brooke's trip to work. During what time period is her speed decreasing?
A) between 0 and 10 minutes
B) between 20 and 25 minutes
C) between 10 and 15 minutes
D) between 15 and 20 minutes
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2222)) Which ordered pair is a solution to the equation y = 6x - 4?
A) (2, 1)
B) (1, 2)
C) (2, 6)
D) (1, 1)
2233)) Joanne is charged a base rate of $40.00 each month for her cell service. She upgrades her phone and chooses to make 18
monthly payments of $25 to pay for her new Samsung. She must also pay 25 cents for each text that she sends. Which function
represents Joanne's phone charges each month for the next 18 months?
A) y = .25x + 65
B) y = .25x + 40
C) y = .25x + 72
D) y = 25x + 40
2244)) A pool measures 12.3 feet by 16.6 feet. If the longer wall of the pool has a diagonal of 17.8 feet, what is the volume of the pool?
(round to nearest tenth)
A) 1,306.8 ft3
B) 1,401.2 ft3
C) 1,891.1 ft3
D) 3,634.4 ft3
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2255)) A 12-ounce soda can is 5 inches tall and 2.5 inches across. How much soda can it hold if it is completely full? Round your
answer to the nearest tenth of a cubic inch.
A) 24.5 cubic inches of soda
B) 39.3 cubic inches of soda
C) 65.4 cubic inches of soda
D) 98.1 cubic inches of soda
2266)) Simplify:
(hh22)55
A) h-3
B) h3
C) h7
D) h10
2277))
If triangle EFG is slid five units to the left, what are be the new coordinates of vertex F?
A) (-7, 4)
B) (-2, -1)
C) (-2, 9)
D) (5, 4)
2288)) Which situation is not an example of a linear function?
A) The distance traveled if a car is driving at a constant rate of 60 miles per hour.
B) The cost of the bill if a cell phone company charges an initial fee of $25 plus $45 per month.
C) The amount of cake each person gets to eat if a cake is divided equally among the guests at a party.
D) The amount of time spent grading papers if a teacher grades one paper every 8 minutes and takes a 10 minute break.
2299)) A machine can fill a box with twenty pencils in 30 seconds. How many boxes can the machine fill in 2 hours?
A) 2 boxes
B) 120 boxes
C) 240 boxes
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D) 2400 boxes
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3300))
DDaattaa ffrroomm PPrreevviioouuss TTrruucckk HHeeaadd GGaasskkeettss
TTeemmppeerraattuurree ((°CC)) DDaammaaggee IInnddeexx
12 11
13 8
14 8
16 2
18 2
19 2
19 2
19 1
19 1
20 0
21 4
21 0
21 0
Scientists believe there is a link between ambient temperature and damage to a head gasket on a car. Using the provided
information draw a scatterplot of the data.
If the forecast was for temperatures at 5° Celsius, what recommendation would you give to a truck driver who wanted to leave on a
trip? Justify your recommendation.
A) I would recommend that he goes as there were many more temperatures with no damage than with damage.
B)I would recommend that he goes as lower temperatures have a strong positive correlation, therefore the lower the
temperature the less damage is caused.
C)I would recommend that he does not go as lower temperatures have a strong negative correlation, therefore the lower the
temperature the more damage is caused.
D)I would recommend that he does not go as higher temperatures have a strong positive correlation therefore the higher
the temperature the more damage is caused.
3311)) A state park has two pools. The olympic size pool holds 8.12 x 105 gallons of water and the smaller pool holds 5.27 x 105
gallons of water. What is the combined capacity of the pools?
A) 1.339 x 104 gallons
B) 1.339 x 106 gallons
C) 13.39 x 1010 gallons
D) 1.339 x 1010 gallons
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3322)) Multiply and give the answer in scientific notation:
((22..33 xx 1100--33))((33 xx 110088))
A) 6.9 x 105
B) 6.9 x 1011
C) 6.9 x 10-5
D) 6.9 x 1024
3333))
Which graph is an example of a function?
A)
B)
C)
D)
3344))
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Describe the transformation of ΔABC.
A) rotation of 90° about the origin
B) rotation of 60° about the origin
C) rotation of 180° about the origin
D) rotation of 270° about the origin
3355))
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Which of the statements about the diagram is INCORRECT?
A) ∠ 1 ≅ ∠2
B) BE ≅ ED
C) BE ≅ CE
D) CE ≅ EA
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3366)) Which graph has a slope of –3 and passes through the point (–2, –5)?
A)
B)
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C)
D)
3377))
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What is the difference of the distances of E to G and C to G?
A) 2
B) 3
C) 4
D) 5
3388))
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Owen and Rose each thought of a linear function. Owen's function is y = 3
4x + 1, and Rose's function is shown in the graph.
Which statement is true?
A) Owen’s function has both a greater slope and a greater y-intercept.
B) Rose’s function has both a greater slope and a greater y-intercept.
C) Rose’s function has a greater slope, and Owen’s function has a greater y-intercept.
D) Owen’s function has a greater slope, and Rose’s function has a greater y-intercept.
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3399))
What kind of triangle is shown here?
A) Right
B) Obtuse
C) Acute
D) Equilateral
4400))
What type of data is represented in this scatterplot?
A) bivariate
B) direct
C) indirect
D) univariate
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