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Math GPS GHSGT – Math 2 EOCT Study Guide FORM A

For #1-3, Jessica is a high school student.

These histograms give information about the number of hours of community service completed by …

each of the students in Jessica’s homeroom and by …

each of the students in the 9th grade class at her school.1 Which of the following is true

about the medians?2 Which of the following is true

about the lower quartile Q1?3 Which of the following is true

about the upper quartile Q3?

A The medians are equal. A The 9th grade class is greater. A Jessica’s homeroom is greater.B The 9th grade class is greater. B Jessica’s homeroom is greater. B The 9th grade class is greater.C Jessica’s homeroom is greater. C The lower quartiles are equal. C The upper quartiles are equal.D The medians cannot be found. D The lower quartiles cannot be

found.D The upper quartiles cannot be

found.MM1D3a

For #4-6, Ray’s scores on his first 7 math tests were 70, 85, 78, 90, 84, 82 and 83. 4 Which is the median of Ray’s

scores?5 Which is the upper quartile Q3

of Ray’s scores?6 Which is IQR of Ray’s scores?

A 81 A 82 A 6B 82 B 83 B 7C 83 C 84 C 8D 84 D 85 D 9

MM1D3b7 The heights, in inches, of five girls in an exercise

class are 65, 62, 70, 72 and 64. A 6th girl joins the class. The MEAN height of the six girls is 66 inches. What is the height of 6th girl?

8 The heights, in inches, of five girls in an exercise class are 65, 62, 70, 72 and 64. A 6th girl joins the class. The MEDIAN height of the six girls is 66 inches. Which is a possible height of the 6th girl?

A 63 inches A 63 inchesB 67 inches B 67 inchesC 71 inches C 71 inchesD 75 inches D 75 inches

MM1D3b MM1D3b

For #9-10, John surveys every fifth person leaving a pet supply store. Of those surveyed, 75% support the construction of a new pet park. John plans to write a letter to the editor of the local newspaper about this proposal stating that there is tremendous support from the citizens of the town.9 Which of the following is most likely true about

John’s conclusion?10 Which offers a good plan for obtaining a good sample

population?

A The population studied was representative of the people in the entire town. A Select every 50th person who are not fond of pets nor

libraries.

BTo conclude that there is tremendous support from the citizens of the town may be true because John sampled the population who shopped at a pet store.

B Select every 50th person who are fond of pets.

CIt is likely that this population of people would be strong supporters for a new pet park and would therefore cause the findings to be biased.

C Select every 50th person who are fond of libraries.

DThe population that John studied is likely to have contrasting opinions about pets, as they are shopping in a pet supply store.

D Select every 50th person from the data bank of registered voters.

MM1D3c MM1D3c

Rev 12/3/2010


11 Use the procedures below to find the mean absolute deviation (MAD) of this data set: { 25, 57, 44, 34 }

Step 1: Find the mean Step 2: Find the differenceof each value from the mean.

Step 3: Write the absolute values of the differences.

Step 4: Compute the MAD by finding the mean of the absolute value differences.

A 10 B 10.5 C 11 D 11.5MM1D4

12 Which function is equivalent to (x) = 2| x + 2 | + 1? 13 What is the function that results from multiplying (x) = |x| by -1 and shifting it 2 units to the right?

A f ( x )=¿ { 2 x+5 , if x≥−2¿ ¿¿¿ A f ( x )=¿ {−x+2 , if x≤2¿ ¿¿¿B f ( x )=¿ { 2 x+5 , if x≥1 ¿ ¿¿¿ B f ( x )=¿ {−x+2 , if x≤0 ¿¿¿¿C f ( x )=¿ {−2 x−5 , if x≥−2¿ ¿¿¿ C f ( x )=¿ { x−2 , if x≤2 ¿¿¿¿D f ( x )=¿ {−2 x−5 , if x≥1¿ ¿¿¿ D f ( x )=¿ { x−2 , if x≤0 ¿ ¿¿¿

MM2A1a MM2A1a14 This graph shows two

parts of a piecewise function.

The open dot means the point …

15 Which of the following is NOT true about this piecewise function f(x)?

A (2, 4) belongs to the 1st piece of the graph. A f(x) increases on the interval x 1.B (2, 2) belongs to the 2nd piece of the graph. B f(x) is constant on the interval 1 x 4.C (2, 2) does not belong to the 2nd piece. C f(x) decreases on the interval x 4.D (2, 4) does not belong to the 1st piece. D f(x) is constant on the interval x 6.

MM2A1b MM2A1b16 This graph shows two

parts of a piecewise function. For what value of x is the function NOT defined?

17 What are the solutions to | 2x + 5 | < 13 analytically?

A Any real number between -9 and 4.

A -1 B 0B Any real number less than -9 or more than 4.C Any real number between -4 and 9.

C 1 D 2 D Any real number less than -4 or more than 9.MM2A1b MM2A1c

18 What would be the solutions to solving 3| x 5 | 3 > 0 graphically?

19 Which best represents the graph of | x + 3 | 2?

A

B

A 4 < x < 6C

B 4 x 6

C x < 4 or x > 6D

D x 4 or x 6MM2A1c MM2A1c

Rev 12/3/2010


20 Which represents a valid property of exponents? 21 The function (x) has these properties: As x decreases, f(x) approaches 0. As x increases, f(x) decreases. The domain of f(x) is all real numbers.Which of the following could be the function (x)?

A 35

33=35−3=32=9 B ( 14 )

−2

=( 41 )

2

= 142=

116

A f ( x )=(12 )

x

+3 B f ( x )=(12 )

x−3

C 2−2= 122

=4 D 33

35=33−5=3−2= 132=9 C f ( x )=−2x+3 D f ( x )=−2x−3

MM2A2a MM2A2b22 Which is the correct

description of this continuous exponential function?

23 Which graph represents (x) = 3( 2 x1 ) + 4?

A B

A As x increases, the value of y increases and stops at 8. C D

B As x decreases, the value of y will eventually equal 0.

C The domain is all x and the range is y > 0.

D The line x = 0 is an asymptote.MM2A2b MM2A2c

24 What are the solutions to the inequality 4x < 82 analytically?

25 On this continuous exponential graph,( 2, 9 ) is plotted. Which equation does this point solve?

A x > 3 A 3x = 31

B x < 3 B 2x = 23

C x > 2 C 3x = 32

D x < 2 D 2x = 22

MM2A2d MM2A2d26 A city’s population is 12,800. It is predicted that the

population will increase by 3% each year. Which function P(n) can be used to find the city’s population after n years?

27 Debbie bought a new boat for $20,000. She estimates that the value of the boat will decrease by 12% each year. Which function V(t) can be used to find the boat’s value after t years?

A P(n )=12 ,800(0 . 97)n A V ( t )=20 ,000 (0. 12)t

B P(n )=12 , 800(0 .03 )n B V ( t )=20 ,000 (1 . 12)t

C P(n )=12 ,800(1.97 )n C V ( t )=20 ,000 (0.88 )t

D P(n )=12 , 800(1. 03 )n D V ( t )=20 ,000 (1 . 88)tMM2A2e MM2A2e

28 A sequence is given as { 2, 6, 18, 54, … }. Which function f(n) represents this sequence to find the value of the nth term?

29 A sequence is given as { 2, 6, 18, 54, … }.Which of the following is NOT true?

A f (n)=2(3)n−1 A The next term in the sequence is 162.

B f (n)=2(3)n B The sequence starts with the number 2.

C f (n)=3(2)n−1 C Multiply by 3 to get the next term in the sequence.

D f (n)=3(2)n D 2 is the common ratio and the base.MM2A2f MM2A2g

Rev 12/3/2010


30 What is the vertex form of f(x) = 3x2 – 12x + 13? 31 What is the standard form of f(x) = 2( x – 1 )2 + 3?

A f(x) = 3( x + 2 )2 – 1 A f(x) = 2x2 – 4x + 5B f(x) = 3( x – 2 )2 + 1 B f(x) = 2x2 – 5x + 4C f(x) = 3( x – 1 )2 + 2 C f(x) = 2x2 + 4x – 5D f(x) = 3( x + 1 )2 – 2 D f(x) = 2x2 + 5x – 4

MM2A3a MM2A3a32 The graph at the right is the

function f(x) = x2.

Which graph is the transformation of f(x) = x2

to f(x) = x2 – 8x + 19?

33 The graph at the right is the function f(x) = x2.

Which graph is the transformation of f(x) = x2

to f(x) = − 1

2 ( x – 3 ) 2 + 2?A B A B

C D C D

MM2A3b MM2A3b

For #34-35,

Phillip is standing on a rock ledge that extends out over a lake. He tosses a rock straight up with a velocity of 48 feet per second. The rock leaves his hand at a point 64 feet above the surface of the lake. The rock travels upward and then falls into the lake.

The function, f(t) = -16t2 + 48t + 64, represents the height above the water as a function of time, t, in seconds after Philip releases the rock.34 What is the maximum height and at what time does

the rock reach above the surface of the lake?35 Which statement describes the rock at 1.5 seconds

in the air?

A 96 ft at 1.5 seconds A The rock is on the surface of the lake.B 100 ft at 1.5 seconds B The rock is moving upward.C 96 ft at 2 seconds C The rock is at its highest point.D 100 ft at 2 seconds D The rock is moving downward.

MM2A3c MM2A3c36 The quadratic function (x) has these characteristics: 37 The vertex of the quadratic equation g(x) is located

at ( 4, 2 ). An x-intercept of g(x) is located at (5, 0). What is the y-intercept of g(x)?

The vertex is located at ( 8, -3 ) The range is - (x) -3Which function could be (x)?

A f ( x )=12

x2−8 x+30 A ( 0, -30 )

B f ( x )=12

x2−8 x+31 B ( 0, -14 )

C f ( x )=−12

x2+8 x−34 C ( 0, - 6 )

D f ( x )=−12

x2+8 x−35 D ( 0, - 4 )

MM2A3c MM2A3c

Rev 12/3/2010


38 A bus service has routes from a university to four towns and routes that connect every pair of towns. Which expression DOES NOT represent the total number of routes?

39 Birds fly in this V- formation. One more V-formation of birds join in correspondence to this pattern. How many birds are in the entire group?

A 52−52

B5⋅62 A 17 B 21

C 1 + 2 + 3 + 4 D ∑n=1

4

n C 25 D 36

MM2A3d MM2A3d40 Alicia started a business making bracelets. She sold

30 bracelets the first month. Her goal is to sell 6 more bracelets each month than she sold in the previous. If Alicia meets her goal, what is the total number of bracelets she will sell in the first 12 months?

41 Let n be the number of slices for each of these circular pies.

Which expression represents the number of regions formed by the slices for each pie?

A 12 (30+84 )2

=684 B 12 (30+96)2

=756 A12

n2+ 12

n+1 B12

n2+n+2

C 12 (30+90)2

=720 D 12 (30+102 )2

=792 C12

n2+ 12

n+2 D n2+n+2MM2A3d MM2A3e

42 Paul starts a new company that builds guitars. His plan is to build 15 guitars the first month and to increase the company’s output by 5 guitars each month. Which function, G(n), represents the total number of guitars built after n months of production?

43 Which expression represents the sum of the first n multiples of 8?

A52

n2+10 n B 52

n2+352

n A 8n B 8n2

C52

n2+15 n D 52

n2+252

n C 4n2 + 4n D 8n2 + 8n

MM2A3e MM2A3e44 h(t) = -16t2 + 48t + 64

models the height, h(t), in feet, of an object t secondsafter it is tossed in the air. At what time t-16t2 + 48t + 64 = 84 when the object goes downward?

45 What are the solutions to the equation

289=( 13

x−8)2

?

A 0.5 seconds B 1 second A x = -27 only B x = -27 or x = 75

C 2 seconds D 2.5 seconds C x = 75 only D x = -75 or x = 75MM2A4a MM2A4b


−8=15

x2+7?


3x2 + 2x + 4 = 0?

A x = ±5 i√3 B x = ±6 i √2 A x = −1±i √11 Bx =

−1±13

i √11

C x = ±4 i√5 D x = ±2 i√6 Cx =

− 13±i√11 D

x = − 1

3± 1

3i√11

MM2A4b, MM2N1a MM2A4b, MM2N1b

Rev 12/3/2010


48 Which expression is equivalent to ( 3 + 6i ) + ( 4 – 2i )? 49 Which expression is equivalent to ( 3 + 4i )² ?

A 7 + 4i B -1 + 8i A 7 + 24i B -7 + 24i

C 7 4i D -1 8i C 31i D 17i

MM2N1c MM2N1c

50

Which expression is equivalent to

12−5 i2−i ?

51 I II III

Which of the following is NOT true?

A193

−223

i A Graph I has only one real solution, Graph II has two real solutions and Graph III has no real solutions.

B293

+ 23

i B Graph I and Graph II have no complex solutions, but Graph III has two complex solutions.

C295

+ 25

i C Graph I has only one x-intercept, Graph II has two x-intercepts and Graph III has no x-intercepts.

D195

−225

i D The discriminant in Graphs I and II are positive while the discriminant in Graph III is negative.

MM2N1c, MM2N1d MM2A4c

52 What are the solutions tox2 – x – 2 > 0 graphically?

53 What are the solutions tox2 + 2x – 15 0 algebraically?

A -1 x 2 A -5 x 3

B x < -1 or x > 2 B x -5 or x 3

C -1 < x < 2 C -3 x 5

D x -1 or x 2 D x -3 or x 5MM2A4d MM2A4d

54 Tables of some values of the function (x) = x3 and its inverse g(x) are shown.Which is the best explanation for both tables showing a one-to-one relationship?

Original Function

Inverse Function

x f(x) x g(x)

-2 -8 -8 -2-1 -1 -1 -10 0 0 01 1 1 12 8 8 2

55 What is the inverse function of

f ( x )= 3x+2 , x≠0

?

A For each output of f and g, there is exactly oneinput x. A f−1( x )= 3

x−2, x≠2

B For each input x of f and g, there is more than one output. B f−1( x )= 2

x−3, x≠3

C For each input x of f and g, there is exactly one output. C f−1( x )=3x−2 , x≠0

D For each input x of f and g, there is less than one output. D f−1( x )=2

x+3 , x≠0

MM2A5a MM2A5a, MM2A5b

Rev 12/3/2010


56 This function f(x) is graphed on this coordinate grid. What is the domain and range of the function f -1(x)?

57 This function g(x) is graphed on this coordinate grid. What is the domain and range of the function g -1(x)?

A Both the domain and range are the set of all real numbers.

A Both the domain and range are the set of all real numbers.

BBoth the domain and range are the set of all positive real numbers.

BBoth the domain and range are the set of all positive real numbers.

C The domain is the set of all real numbers and the range is the set of all positive real numbers. C The domain is the set of all real numbers and the range is

the set of all positive real numbers.

D The domain is the set of all positive real numbers and the range is the set of all real numbers. D The domain is the set of all positive real numbers and the

range is the set of all real numbers.MM2A5a, MM2A5b MM2A5a, MM2A5b

58 Which represents the inverse of this graph?

59 Use these functions to answer this question.

f ( x )=3 x−1 ,g( x )= x+1

3 , f (g ( x ))=x

Which statement about the functions f and g is true?

A BA f and g are not inverse functions because

f( g(x) ) is not equal to 0.

B f and g are inverse functions becausef( g(x) ) is not equal to 0.

C DC f and g are not inverse functions because

f( g(x) ) is equal to x.

D f and g are inverse functions becausef( g(x) ) is equal to x.

MM2A5c MM2A5d

60 A diagonal of a parallelogram is perpendicular to the shortest side of

the parallelogram and measures 6√3 cm. The measure of the angle opposite that diagonal is 60. What is the perimeter of the parallelogram?

61 A parallelogram with height h has side that measure 10 cm and 20 cm long. The measure of the acute anglesof the parallelogram is 60. What is the area of the parallelogram?

A 18 cm B 36 cm A 100 cm2 B 200 cm2

C 9√3 cm D 18√3 cm C 100√3 cm2 D 200√3cm2

MM2G1a MM2G1a

62 What is the area of a regular hexagon with sides that are 10 cm long?

63 The area of a square is 10 cm2. What is the product of the lengths of the diagonals?

A 150√3cm2 B 120√3 cm2 A 5 cm B 10 cm

C 90√3 cm2 D 60√3 cm2 C 15 cm D 20 cm

Rev 12/3/2010


MM2G1a MM2G1b

64 A student drew this figure. Which expression represents the value z?

65 The diagonal of a square is 6 cm. What is the area of a square?

A 30√6

B 60√6

A 18 cm2

B 24 cm2

C 15√6

D 45√6

C 30 cm2

D 36 cm2

MM2G1a MM2G1bFor #66-68, use the diagram at the right where ABC ~ CBD ~ ACD66

What is the area of ABC?

67 What is the area of CBD?

68 What is the area of ACD?

A 2√3 in2 A 20√3 in2 A 20√3 in2

B 4 √3 in2 B 24√3 in2 B 24√3 in2

C 8√3 in2 C 28√3 in2 C 28√3 in2

D 16√3 in2 D 32√3 in2 D 32√3 in2

MM2G1b

69 MTPL is an isosceles trapezoid. What is the length of LP?

70 The shape of a baseball diamond is a square. The distance between consecutive bases is 90 ft. What is the distance between home plate and the pitcher’s mound?

A 11 B 10 A 45 feet B 45√2 feetC 5 + 2√18 D 5 + 6 2 C 90√2 feet D 90 feet

MM2G1b MM2G1b71 QBC is

similar to NRD. Which of the following is NOT true?

72 Angle J and angle K are complementary angles in a

right triangle. The value of tan J is

158 . What is

the value of sin K?

A cos Q = sin DA

178 B

815B cos C = sin N

C tan C = tan DC

1517 D 17

15D tan Q = tan DMM2G2a MM2G2b

73 What is the approximate original height of the tree?

Diagram Not Drawn to Scale

74 What is the approximate width of the widest part of this canyon?

Diagram Not Drawn to Scale

A 40 ft B 43 ft A 45 feet B 60 feet

Rev 12/3/2010


C 46 ft D 49 ft C 75 feet D 90 feetMM2G2c MM2G2c

75 Which expression represents the height h of this weather balloon above ground level? ( Diagram is not Drawn to Scale )

76 The base of this cone has a radius of 6 cm. Which expression represents the slant height, in centimeters, of the cone?

A 25 , 000⋅sin 40°+3 B 25 , 000⋅sin 40°−3 A 6 cos 70 ° B 6cos 110 °

C25 ,000sin 40 °

−3 D25 , 000sin 40 °

+3 C6

cos 70 °D

6cos 110 °

MM2G2c MM2G2c77 In this

diagram, what is the closest distance between Lou and Ed?

78 UVW is a right triangle with right angle V. What is the area of UVW?

A 42 ft B 18 ft A 45.07 sq. in B 47.50 sq. inC 24 ft D 10 ft C 47.05 sq. in D 45.70 sq. in

MM2G2c MM2G3a79 On A, the length of

the radius is 10 meters and the measure of arc is 30. What is the length of segment CD?

80 What is wrong with the information given in this diagram?

A 10−10√2 A NR should pass through the center of the circle.B 10−5√2 B The measures of NSP and NRP should equal.C 10−10√3 C The measure of NTP should be half of .D 10−5√3 D The lengths of NS and PR should equal.

MM2G3a MM2G3a81 Isosceles triangle XYZ is

inscribed in this circle.

m = 108What is the measure of XYZ?

82 Quadrilateral WXYZ is inscribed in this circle.Which statement must be TRUE?

A 48 A W and Y are supplementary.B 54 B W and Y are complementary.C 72 C Z and Y are complementary.D 90 D Z and Y are supplementary.

Rev 12/3/2010


MM2G3b MM2G3b

83 In this diagram, what is the measure of DKU?

84 Arc SL is three times the measure of arc NY and arc SN arc LY. What is the measure of arc SN?

A 100 A 116

B 120 B 120

C 135 C 124

D 150 D 128MM2G3c MM2G3c

85 A circular pizza with a diameter of 15 inches is cut into 8 equal slices. What is the area of one slice?

86 In this diagram, OPQ is equilateral. The radius of circle O is 12 cm. What is the area, in square units, of the shaded region?

A 5.9 sq. in. A 33648 B 88.4 sq. in. B 24 π−18C 22.1 sq. in. C 48 π−18D 120 sq. in. D 33624

MM2G3c MM2G3c87 Points R, S, T and U lie

on the circle. The measure of is represented by x. What is the value of x?

88 A, B, D and E lie on the circle. C is outside. m = 56 mEAC = 84What is the measure of ACE?

A 70 A 28B 85 B 42C 110 C 56D 140 D 84

MM2G3d MM2G3d89 The center of circle C is located at ( 4, 3 ) on the coordinate plane.

The radius of circle O is √5 units. Point P is located at ( 7, 0 ). is the segment from P that is tangent to circle C at point T.

What is the length of ?

A √29 units B √19units C √13units D √35unitsMM2G3d, MM2G1b

90 In this circle,what is the value of x?

91 Quadrilateral ABCD is a square in circle A.If = 3 cm, what is the length of ?

A 7.5 B 8 A √2 B 3−3√2

Rev 12/3/2010


C 12 D 9 C 3√22

D 3−3√22

MM2G3d MM2G3d

92 A sphere has a surface area of 144 square centimeters. What is the volume of the sphere?

93 A bowl in the shape of a hemisphere is closed by a plastic cover. The cover has a diameter of 8 inches. What is the surface area of the bowl with the cover?

A 288 cm2 B 216 cm2 A 32 in2 B 48 in2

C 144 cm2 D 72 cm2 C 128 in2 D 192 in2

MM2G4a MM2G4a94 A map company plans

to make a new globe with a diameter that is20% smaller than the diameter of the original model. By

95 The ratio of the volumes of two spheres is 1 to 27. What is the ratio of the surface area of the two spheres?

what percent will the volume of the new model decrease compared to the volume of the original?

A 27.1% B 65.7% A 1 to 3 B 1 to 6C 48.8% D 78.4% C 1 to 9 D 1 to 12

MM2G4b MM2G4b

96 The radius of a green marble

is 23 the radius of a yellow

marble.

Green

Marble

Yellow

Marble

97 A geodesic dome is a shelter built in triangular pieces in the shape of a hemisphere. This dome has an entrance below ground level. The outside

The surface area of the yellow marble is 54 square cm. Assuming both marbles are spherical, what is the surface area of the green marble in square cm?

diameter is 20 feet. The thickness of each triangular piece is 0.5 feet. What happens to the outside radius

when the outside surface area is multiplied by 1

16 ?

A272

π square cm

AThe outside radius is multiplied by

14 .

B323

π square cm

BThe outside radius is multiplied by

116 .

C 18 π square cm CThe outside radius is multiplied by

164 .

D 24 π square cm DThe outside radius is multiplied by

12 .

MM2G4b MM2G4b

98 This frequency table shows the heights for a teacher’s students.What is the approximate standard deviation of these data?

Height (in inches) Frequency42 143 244 445 546 447 248 1

A 1.0 inches

B 1.5 inches

C 2.5 inches

D 3.5 inches

Rev 12/3/2010


MM2D1a, MM2D1b

99 100 At AllStar Coffee, orders for coffee are free if a customer gets their coffee more than 10 minutes after it is ordered. It always takes 2 minutes to prepare a coffee cup at this cafe. This table shows statistics on order time for two employees.

These line plots show the number of hours Theo worked each day for the past two weeks. Which conclusion can be made from the line plots?

Employee Mean Order Time Standard Deviation

Linda 5 minutes 2 minutes

Jen 3 minutes 4 minutes

Which conclusion can be made from this data?

A Both the mean and the standard deviation for Week 1 are greater than for Week 2.

A Orders for coffee are free more often when Linda takes the order.

B Both the mean and the standard deviation for Week 2 are greater than for Week 1.

B Orders for coffee are free more often when Jen takes the order.

C The mean for Week 1 is greater but the standard deviation for Week 2 is greater.

C Orders for coffee are never free when either Linda or Jen takes the order.

D The mean for Week 2 is greater but the standard deviation for Week 1 is greater.

D Orders for coffee are free equally often when either Linda or Jim takes the order.

MM2D1c, MM2D1d MM2D1c, MM2D1d

For #101-103, these histograms show

the distribution of sample means of

the winning margins for each of two

professional basketball teams.

101 Mary took 10 random samples of the winning margins for each of two professional basketball teams. The samples were taken from all 82 games in one season. Which question can be answered based on Mary’s data?

A Which team had the greater number of all-star players?B Which team won more games?C Which team won by a more consistent margin?D Which team lost more games by a narrow margin?

MM2D1a102 Kara took 10 random samples of the winning margins for each of two professional basketball teams. The sample

size was 4. Which is the best estimate of the standard deviation for both samples?

A Team 1: 3.75 points; Team 2: 2.2 pointsB Team 1: 7.4 points; Team 2: 4.4 pointsC Team 1: 10 points; Team 2: 10 pointsD Team 1: 15 points; Team 2: 8.8 points

MM2D1b

Rev 12/3/2010


103 John took 10 random samples of the winning margins for each of two professional basketball teams. Based on John’s data, which statement is MOST likely true?

A Both the sample mean and the sample standard deviation are greater for Team 1 than for Team 2.B The sample means for both teams are equal, but the sample standard deviation for Team 1 is greater.C The sample means for both teams are equal, but the sample standard deviation for Team 2 is greater.D Both the sample mean and the sample standard deviation are greater for Team 2 than for Team 1.

MM2D1c, MM2D1d

104 In a set of 10 random samples of winning scores for games played in a professional basketball league, the sample size is 6, the sample mean is 97.5 points, and the sample standard deviation is 5.2 points. Which expression represents the estimated standard deviation of all the winning scores?

105 In a set of 10 random samples of winning scores for games played in a professional basketball league, the sample size is 8, the sample mean is 10 points, and the sample standard deviation is 4.4 points. Which expression represents the estimated standard deviation of all the winning scores?

A5 .2√10

A 1.39

B 5 .2√10 B 1.56

C5. 2√6

C 12.45

D 5 .2√6 D 13.91

MM2D1c, MM2D1d MM2D1c, MM2D1d

106 Which graph models the relationship between the area of a circle (y) vs. the radius length (x) of the circle?

107 Which graph models the relationship between the radius length of a circle (y) vs. circumference of a circle (x) ?

A B A B

C D C D

MM2D2a MM2D2a, MM2A5c

108 For which graph of a set of data is there no relationship between x and y?

109 For which graph of a set of data is a quadratic function opening downward the best model?

A B A B

Rev 12/3/2010


C D C D

MM2D2b MM2D2b

110 This graph plots the number of wins in the 2009 (x) and 2010 (y) seasons for a sample of professional football teams.

Step 1: Order the data from left to right, top to bottom based on x-values.

xy

Step 2: Find the median of the three equal groups.( x1 , y1 ) ( x2 , y2) ( x3 , y3 )

( , ) ( , ) ( , )

Step 3: Calculate slope a of median-median line.

a=y3− y1

x3−x1=

Step 4: Calculate y-intercept b of median-median line.

b=( y1+ y2+ y3)−a (x1+x2+x3 )

3=

Step 5: Median-median line is y = ax + b.

What is the equation of the median-median line for these data?

A y=2 x−8B y=2 x−9 . 67

C y=83

x−19

D y=83

x−19. 2

MM2D2b

111 The linear regression model for this data isy = 1.44x 4.72.Based on this model, what is the predicted number of 2010 wins for a team that won 5 games in 2009?

112 The correlation coefficient for this data is0.65.This means there is a…

A 2.5 A positive linear relationshipB 2.9 B negative linear relationshipC 3.1 C no linear relationshipD 3.5 D zero linear relationship

MM2D2c MM2D2c

Rev 12/3/2010


113 A student researches if there is a relationship between mean test scores (y) versus study time (x) in hours. This scatterplot shows the results for Course 1. Which equation best fits this data?

114 A student researches if there is a relationship between mean test scores (y) versus study time (x) in hours. This scatterplot shows the results for Course 2. Which equation best fits this data?

A The amount of correlation is too small. A The amount of correlation is too small.B y = 10x + 60 B y = 10x + 60C y = 3.9x2 4.8x + 66.6 C y = 3.9x2 4.8x + 66.6D y = -4.95x2 + 25.2x + 53.6 D y = -4.95x2 + 25.2x + 53.6

MM2D2c MM2D2c

1 C 31 A 61 C: Use 2:3:1 ratio 91 D: Use 1 :1:√2 ratio

2 B 32 D : find x = (-b)/(2a) 62 A: Use 2:3:1 ratio 92 A: radius = 6. Why?

3 A 33 C : v = (3,2), r = -1/2 63 D: Use √1: √1 :√2 ratio 93 B: Need surface area of hemisphere + area of cover

4 C 34 B : find t = (-b)/(2a), f(t) 64B:

30√2

= z √32

94C:

( . 8)3−(1)3

(1)3

5 D 35 C 65 A: Use √1: √1 :√2 ratio 95 C

6 B 36D :

f ( x )=−12(x−8)2−3 66

C: Area=

4 ( 4√3 )2 96

D:(23 )

2= 4

9= ?

54 π

7 A 37 D : g( x )=−2( x−4 )2+2 67 B: (1 :√3 :2 )2=1 :3 :4 97 A

8 B 38 B 68 D: (1 :√3 :2 )2=1 :3 :4 98 B

9 C 39 C 69 A: Use √1: √1 :√2 ratio 99 A

10 D 40B :

12[ 30+(24+6⋅12 )]2

70 B: Use 1 :1:√2 ratio100

B: Jen has higher standard deviation

11 B 41 A : For n=0 slices, there is only 1 piece. 71 D 10

1 C

12 A 42D :

G(n )=n[ 15+(10+5⋅n) ]

272 A: Use

SOHCAHTOA102 D

13 C 43C :

n[ 8+(8⋅n )]2

73A:

15+15sin 36

103 B

14 D 44 D 74B:

35tan25

−15 104 D

15 D 45 B 75 A: Use SOHCAHTOA 105 C

16 B 46 A : x2=−75=−1⋅25⋅3 76 C: Use SOHCAHTOA 10

6 B

17 A 47 D : use quadratic formula 77 B: Use 1 :√3 :2 , 1 :1 :√2 107 D

18 C 48 A 78 D: Use SOHCAHTOA 108 C

19 B 49 B 79 D: Use 2:3:1 ratio109 B

20 A 50 C : simplify (12−5 i )

(2−i )(2+i )(2+i ) 80 B 11

0 B

Rev 12/3/2010


21 D 51 D: discriminant = 0 in Graph 1 81 C: Arc:Inscribed = 2:1 11

1 A

22 C 52 B 82 A 112 A

23 A : look for pt (1,7) 53 A 83 B 11

3 B

24 B 54 C 84A: Use

( x+3 x )2

=64 114 C

25 C 55 A 85C:

Area=18

π (7 .5 )2

26 D 56 D: Sketch inverse and find domain, range of 86

D: 60360

π (12)2−12⋅6√32

27 C 57 C: Sketch inverse and find domain, range of inverse 87

B: Use ( x+70)

2=55

28 A 58 B 88A: Use

(112−56)2

29 D 59 D 89 C: (√5)2+( x )2=(3√2)2

30 B : find x = (-b)/(2a) 60 B: Use 1 :√3 :2 ratio 90 D: Order sides of triangles

from least to most

Rev 12/3/2010

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