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88tthh GGrraaddee TThhaannkkssggiivviinngg PPaacckkeett Student Name: _______________________ Date: _________ Teacher Name: Jalethea Howard Score: _________ 11)) Solve for z. 5z – 8 = 32 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° USATestprep, Inc. http://www.usatestprep.com/modules/test/benchmark_test_print... 1 of 23 11/20/15, 10:04 AM

USATestprep, Inc. - Utopian Academy For The Arts … ) 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

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Page 1: USATestprep, Inc. - Utopian Academy For The Arts … ) 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

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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1 of 23 11/20/15, 10:04 AM

Page 2: USATestprep, Inc. - Utopian Academy For The Arts … ) 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

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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Page 3: USATestprep, Inc. - Utopian Academy For The Arts … ) 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

B)

C)

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3 of 23 11/20/15, 10:04 AM

Page 4: USATestprep, Inc. - Utopian Academy For The Arts … ) 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

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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Page 5: USATestprep, Inc. - Utopian Academy For The Arts … ) 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

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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Page 6: USATestprep, Inc. - Utopian Academy For The Arts … ) 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

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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Page 7: USATestprep, Inc. - Utopian Academy For The Arts … ) 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

C) $15.00

D) $20.00

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Page 8: USATestprep, Inc. - Utopian Academy For The Arts … ) 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

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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Page 9: USATestprep, Inc. - Utopian Academy For The Arts … ) 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

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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Page 10: USATestprep, Inc. - Utopian Academy For The Arts … ) 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

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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Page 11: USATestprep, Inc. - Utopian Academy For The Arts … ) 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

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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Page 12: USATestprep, Inc. - Utopian Academy For The Arts … ) 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

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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Page 13: USATestprep, Inc. - Utopian Academy For The Arts … ) 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

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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Page 14: USATestprep, Inc. - Utopian Academy For The Arts … ) 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

D) 2400 boxes

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Page 15: USATestprep, Inc. - Utopian Academy For The Arts … ) 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

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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Page 16: USATestprep, Inc. - Utopian Academy For The Arts … ) 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

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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Page 17: USATestprep, Inc. - Utopian Academy For The Arts … ) 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

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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Page 18: USATestprep, Inc. - Utopian Academy For The Arts … ) 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

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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Page 19: USATestprep, Inc. - Utopian Academy For The Arts … ) 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

3366)) Which graph has a slope of –3 and passes through the point (–2, –5)?

A)

B)

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Page 20: USATestprep, Inc. - Utopian Academy For The Arts … ) 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

C)

D)

3377))

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Page 21: USATestprep, Inc. - Utopian Academy For The Arts … ) 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

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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Page 22: USATestprep, Inc. - Utopian Academy For The Arts … ) 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

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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Page 23: USATestprep, Inc. - Utopian Academy For The Arts … ) 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

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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