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SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Use the given data to construct a stem-and-leaf plot.

1)

The weights of 22 members of the varsity football team are listed below.144 152 142 151 160 152 131 164 141 153 140144 175 156 147 133 172 159 135 159 148 171

1)

See below

13 1 3 514 0 1 2 4 4 7 815 1 2 2 3 6 9 916 0 417 1 2 5

Solve the problem.

2)

The data below are the gestation periods, in months, of randomly selected animals and their corresponding life spans, in years. Construct a scatter plot for the data. Determine whether there is a positive linear correlation, a negative linear correlation, or no linear correlation. Use the scatterplot to estimate the life span for an animal having a gestation period of 18 months.

2)

See below

There is a positive correlation, since the trend is sloping upwards.For an 18 month gestation, the lifespan is approximate 44 or 45 years.

Construct the specified bar graph to illustrate the given data. 3)

The following table shows the number of male athletes and the number of female athletes at a certain college in various years. Create a side-by-side bar graph to illustrate the data.

3)

See below

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Answer the question.

4)

The following scatterplot shows heights (in inches) of children and their ages.

Height (inches)

Age (years)

What is the expected height range for a 2-year old child?

4)

CA)

20-30 inches

B)

40-50 inches C)

25-38 inches

D)

35-45 inches

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Construct a circle graph for the given data.

5)

The Centers for Disease Control lists causes of death for individual states in 2002. The mortality data for one state is given.

These percentages don’t add up to 100%.

5)

See below

Provide an appropriate response. 6)

Can the sample variance ever be a negative number? If so, for what types of data? If not, why not? Can the sample variance ever be zero? If so, for what types of data? If not, why not? Explain your reasoning.

6)

The variance cannot be a negative number, since it is based on squared deviations. All squares are positive. The variance can be zero if all the numbers in the data set are equal.

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Refer to the bar graph below, which shows the number of male (M) and female (F) athletes at a university over a four-year period. Solve the problem.

7)

How many students were involved in athletics in 2003?

7)

B

A)

800

B)

825

C)

775

D)

750

The bar graph below shows the number of students by major in the College of Arts and Sciences. Answer the question.

8)

What percent of students in the college are history majors (to the nearest tenth of a percent)?

8)

AA)

24.5%

B)

66.7%

C)

32.7%

D)

75.5%

Use the circle graph to solve the problem. 9)

A survey of the 9438 vehicles on the campus of State University yielded the following

circle graph.

Find the number of convertibles. Round your result to the nearest whole number.

9)

CA)

16

B)

1982

C)

1510

D)

7928

Find the standard deviation for the given data. Round your answer to one more decimal place than the original data.

10)

{4, 7, 26, 23, 45, 43}

10)

DA)

248.9

B)

24.5

C)

24.7

D)

15.8

Find the probability. 11)

Two cards are drawn with replacement from an ordinary deck of 52 playing cards. What is the probability that both cards are of the same value (for example, both cards are twos or queens or aces)?

11)

CA)

B)

C)

D)

Solve the problem. 12)

Assume that the weight loss for the first two months of a diet program has a uniform distrbiution over the interval 6 to 12 pounds. Find the probability that a person on this diet loses between 10.5 and 12 pounds in the first two months.

12)

BA)

B)

C)

D)

Find the odds. 13)

What are the odds against getting at least one tail in a single toss of two coins?

13)

AA)

1 : 3

B)

1 : 4

C)

1 : 2

D)

3 : 1


A bag contains 8 red marbles, 6 blue marbles, and 9 green marbles. If a marble is selected at random, what is the probability of choosing a blue marble?

14)

DA)

B)

C)

D)


How many games are played in a soccer competition if there are 7 teams and all teams play each other twice?

15)

BA)

6

B)

42

C)

7

D)

64

16)

How many ways can 9 cars be parked in a row of 9 parking spaces?

16)

BA)

9

B)

362,880

C)

81

D)

40,320


Suppose that a natural number from 1 through 11 inclusive is selected at random. What is the probability that the number selected is even if you know that it is prime?

17)

CA)

B)

C)

D)

Solve the problem.

18)

A physical fitness association is including the mile run in its secondary-school fitness test. The time for this event for boys in secondary school is known to possess a normal distribution with a mean of 450 seconds and a standard deviation of 50 seconds. Find the probability that a randomly selected boy in secondary school can run the mile in less than 335 seconds.

18)

CA)

0.4893

B)

0.5107

C)

0.0107

D)

0.9893

Consider the experiment of rolling a single die. Find the probability of the event described.

19)

What is the probability of rolling a number such that when it is subtracted from 11 gives a difference greater than 5?

19)

AA)

B)

1

C)

5

D)

6


If the odds against an event A are 5 to 3, what is the probability associated with event A occurring?

20)

CA)

B)

C)

D)


Is it always true, sometimes true, or never true that the incenter is outside its associated triangle?

21)

CA)

Always true

B)

Sometimes true

C)

Never true

Solve the problem. Give your answer to the nearest thousandth if necessary. 22)

The diagram below is a side-view plan for a slanted roof. Find the unknown length in this roof plan.

17 ft

22)

DA)

23.672 ft

B)

8 ft

C)

32 ft

D)

22.672 ft


Describe the curve as simple closed, nonsimple closed, or not closed.

23)

AA)

Simple closed B)

Nonsimple closed C)

Not closed

Answer the question. The figure is not drawn to scale. 24)

Find the measure of ∠P. is the diameter of the circle.

24)

AA)

90° B)

120° C)

60° D)

Not enough information is given.


Suppose that a given quadrilateral is a kite with no right angles. Which of the following is possible?

25)

CA)

The quadrilateral has congruent diagonals. B)

The quadrilateral is a trapezoid. C)

The quadrilateral is a rhombus. D)

None of the above

26)

Suppose you know that a given parallelogram has at least one right angle and at least two adjacent sides that are congruent. Can you make a conclusion about what kind of parallelogram this is? If so, state as specifically as possible what it is.

26)

AA)

Yes; square

B)

Yes; rectangle C)

Yes; rhombus

D)

No

Refer to the figure and provide an appropriate name for the indicated angle(s).

27)

∠1 and (∠5 + ∠6)

27)

AA)

Corresponding angles

B)

Alternate interior angles C)

Complementary angles

D)

Alternate exterior angles

Given the floor plan, determine whether a person could traverse through each unit by passing through each door only once.

28)

28)

BA)

Yes

B)

No

Refer to this figure to answer the question. Line DH is parallel to line IM. Line BO is perpendicular to line DH.

29)

m∠IJN is 51°. What is the measure of ∠JEF?

29)

CA)

51°

B)

39° C)

129°

D)

Can't determine


Consider ∠LAE and ∠EFK. What can you conclude about these angles?

30)

BA)

They are a linear pair of angles. B)

They are acute angles. C)

They are a pair of vertical angles. D)

All of the above

Decide whether the figure shown is a polyhedron. 31)

31)

AA)

Polyhedron

B)

Not a polyhedron

32)

32)

AA)

Polyhedron

B)

Not a polyhedron


Find the image of the triangle ABC under the glide reflection that takes A to A' and B to B'.

33)

AA)

B)

C)

D)

Find the image of the figure obtained from the given transformation. 34)

34)

BA)

B)

C)

D)

35)

Triangle ABC under the size transformation

35)

BA)

B)

C)

D)

Determine whether the figure has the suggested symmetry. 36)

Reflectional symmetry about L

36)

BA)

Yes

B)

No

Find the image of the figure obtained from the given transformation. 37)

37)

DA)

B)

C)

D)

38)

Triangle ABC under the size transformation

38)

DA)

B)

C)

D)

SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Draw a tessellation of the plane using the given figure. There may be more than one correct answer. If the figure does not tessellate the plane, state this.

39)

39)

See below

MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Find the image of the figure obtained from the given transformation.

40)

40)

CA)

B)

C)

D)

Choose the most reasonable unit of measure.

41)

Horse weight 460 (mg, g, kg)

41)

BA)

g

B)

kg

C)

mg


Alex must wrap two boxes. Both boxes are right rectangular prisms. The smaller box has a length of 12 inches. The larger box is similar to the first and has a length of 48 inches. Find the ratio of the amount of paper needed to wrap the large box to the amount of paper needed to wrap the small box.

42)

AA)

16 : 1

B)

64 : 1

C)

4 : 1

D)

8 : 1

Find the area of the figure. 43)

Find the area of the shaded portion of the circle. Use 3.14 for π. Figure not drawn to scale.

43)

B A)

9.07

B)

18.14

C)

4.54

D)

0.14


Two corresponding sides of similar polygons are in the ratio of 2: 3. If the perimeter of the smaller figure is 6 meters, what is the perimeter of the larger figure?

44)

B A)

18 m B)

9 m C)

4 m D)

Not enough information given

Solve the problem. Use 3.14 for π. Round to the nearest tenth, if necessary. 45)

One casserole dish is rectangular, measuring 12 in. × 16 in. × 2 in. Another dish is circular, with a diameter of 13 in. and a depth of 3 in. Which is the larger casserole dish by volume?

45)

AA)

The circular dish B)

The rectangular dish C)

They are the same D)

Not enough information to solve


A hybrid car manufacturer made a vehicle that the company claimed got 29 kilometers per liter. What would be the approximate equivalent gas consumption in miles per gallon?

46)

D

A)

About 5 miles per gallon

B)

About 141 miles per gallon C)


D)


Find the surface area of the solid. 47)

a = 3 ft, b = 4 ft, c = 3 ftRectangular prism

47)

AA)

66 ft2

B)

72 ft2

C)

54 ft2

D)

33 ft2

Convert the units. 48)

21 L = mL

48)

CA)

2100 mL

B)

2.1 mL C)

21,000 mL

D)

0.021 mL

Choose the most reasonable unit of measure. 49)

Can of food: 422

49)

AA)

422 g

B)

0. 422 g

C)

0.0422 g

D)

4220 g


Find the volume of a barber's pole having the shape of a right circular cylinder of radius 5 in. and height 29 in. topped by a sphere of the same radius. Round to the nearest tenth, if necessary.

50)

A A)

2799.8

B)

2276.5 C)

1046.7

D)

4553.0

Find the equation of the line by using the slope-intercept method. 51)

51)

BA)

x = -2

B)

y = -2

C)

y = 2

D)

x = 2

52)

52)

BA)

y = - x

B)

y = x

C)

y = 4x

D)

y = -4x

Use the discriminant to determine how many real-number solutions the equation has. 53)

s2 - 5s + 6 = 0

53)

AA)

2

B)

1

C)

0


In a certain city, the cost of a taxi ride is computed as follows: There is a fixed charge of $2.50 as soon as you get in the taxi, to which a charge of $2.15 per mile is added. Find an equation that can be used to determine the cost, C, of an x-mile taxi ride, and use this equation to find the cost of a 4-mile taxi ride.

54)

DA)

$10.98

B)

$11.28

C)

$12.00

D)

$11.10

Determine the number of real-number solutions to the equation from the given graph. 55)

-2 - x - 5 = 0, given the graph of y = -2 - x - 5

55)

CA)

2

B)

1

C)

0

D)

3

56)

2 + 1 = 9x, given the graph of y = 2 + 1 - 9x

56)

DA)

0

B)

1

C)

3

D)

2

Determine whether the lines are parallel, perpendicular, or neither. 57)

y = 9x + 9 and y = -9x + 9

57)

C

A)

Parallel

B)

Perpendicular

C)

Neither

Decide if the given number is a solution to the given equation. 58)

x - 1 = 4; 5

58)

AA)

Yes

B)

No


Your company uses the quadratic model y = -11 + 350x to represent how many units (y) of a new product will be sold (x) weeks after its release . How many units can you expect to sell in week 17?

59)

BA)

9129 units

B)

2771 units C)

5763 units

D)

6137 units

Without graphing, identify the slope and the y-intercept. 60)

7x + 9y = 46

60)

DA)

Slope ; y-intercept B)

Slope ; y-intercept C)

Slope - ; y-intercept D)

Slope - ; y-intercept

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