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Final Test
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or
answers the question.
List the elements in the sample space of the experiment.
1) An 8-sided die is rolled. The sides contain the numbers 1, 2, 3, 4, 5, 6, 7, 8. List the sample space
of rolling one die. _
A) {64}
B) {8}
C) {1, 2, 3, 4, 5, 6, 7, 8}
D) None of these
2) A box contains 13 white cards numbered 1 through 13. List the sample space of the event
choosing one card with a number greater than 6.
A) {1, 2, 3, ..., 13}
B) {7, 8, 9, 10, 11, 12, 13}
C) {6, 7, 8, 9, 10, 11, 12, 13}
D) {11}
Consider the experiment of rolling a single die. Find the probability of the event described.
3) What is P(odd or prime)?
5
A)
6
1
B)
2
1
C)
3
2
D)
3
Consider the experiment of selecting a card from an ordinary deck of 52 playing cards and
determine the probability of the stated event (Q4 and 5).
4) A red 7 is drawn.
1
A)
26
3
B)
52
1
C)
13
1
D)
52
5) The 2 of hearts is drawn.
1
26
1
B)
13
1
C)
4
1
D)
52
A)
Find the probability.
6) The table below describes the smoking habits of a group of asthma sufferers.
Nonsmokers Light Smoker Heavy Smoker Total
311
82
74
Men
467
329
68
60
Women
457
Total
640
150
134
924
If a woman is randomly selected, find the probability that she is a nonsmoker.
A) 0.395
B) 0.720
C) 0.514
D) 0.356
Provide an appropriate response.
7) Suppose that an experiment has four possible outcomes: A, B, C, and D. If P(A) = P(B) = P(C)
and P( D)  2 P( A) what is the probability of each event?
1
1
A) P(A) = P(B) = P(C) = , P(D) =
6
3
1
2
B) P(A) = P(B) = P(C) = , P(D) =
5
5
2
1
C) P(A) = P(B) = P(C) = , P(D) =
7
7
1
1
D) P(A) = P(B) = P(C) = , P(D) =
4
2
Solve the problem.
8) In how many ways can 5 people be chosen and arranged in a straight line, if there are 11 people
from whom to choose?
A) 55
B) 665,280
C) 55,440
D) 332,640
9) How many games are played in a soccer competition if there are 7 teams and all teams play each
other twice?
A) 42
B) 7
C) 64
D) 6
10) How many different sequences of 4 digits are possible if the first digit must be 3, 4, or 5 and if
the sequence may not end in 000? Repetition of digits is allowed.
A) 1512
B) 2999
C) 2000
D) 2997
11) If a two-card hand is dealt from a well-shuffled deck of 52 cards, what is the probability that the
hand contains two kings?
7
A)
2000
11
B)
2000
1
C)
221
91
D)
2000
Provide an appropriate response.
12) Which point of concurrency in a triangle is sometimes called the center of gravity of the
triangle?
A) orthocenter
B) incenter
C) circumcenter
D) centroid
13) True or false? In every triangle, the centroid, incenter, and circumcenter are collinear.
A) True
B) False
Solve the problem.
14) Find the measure of the indicated exterior angle.
x = (6n - 20)°, y = (4n + 47)°, z = (170 - n)°
A) 55°
B) 157°
C) 167°
D) 145°
15) If each angle of a regular polygon measures 150°, how many sides does it have?
A) 12 sides
B) 14 sides
C) 2 sides
D) 7 sides
16) How many triangles are formed in a regular polygon with 13 sides?
A) 10
B) 12
C) 13
D) 11
Determine whether the triple of numbers can be the sides of a right triangle.
17)
2,
3 , 10
A) Yes
B) No
Determine whether the statement is always true, sometimes true, or never true.
18) If two sides and an angle of a triangle are congruent to the corresponding two sides and angle of
another triangle, then the triangles are congruent.
A) Always true
B) Sometimes true
C) Never true
Consider these figures:
Which figure above, if any, is topologically equivalent to the given figure? Identify the
topologically equivalent figure by letter.
19) An apple
A) B
B) A
C) C
D) None of these
Determine whether the statement is always true, sometimes true, or never true.
20) If two sides of a triangle are proportional to the corresponding sides of another triangle, then the
triangles are similar.
A) Always true
B) Sometimes true
C) Never true
Solve the problem.
21) Describe the figure or polygon produced by interpreting the symbol
A) triangle
B) pentagon
C) star polygon
D) None of the above
22) Describe the figure or polygon produced by interpreting the symbol
A) quadrilateral
B) segment
C) star polygon
D) None of the above
23) What is the measure of the dent angle for a star-shaped polygon with 8 points and a point angle
of 200
85
A)
°
2
B) 160°
C) 65°
D) 115°
24) The ratio of the measure of the larger angle to the shorter angle of a golden triangle is the golden
ratio.
A) Yes
B) No
Decide whether the figure shown is a polyhedron Q25 and 26)
25)
A) Not a Polyhedron
B) Polyhedron
26) ?????????????????????????????
A) Not a Polyhedron
B) Polyhedron
Use Euler's formula to answer the question.
27) A polyhedron has 36 edges and 21 faces. How many vertices does it have?
A) 14
B) 57
C) 55
D) 17
Decide whether the statement is true or false.
28) An octahedron has twice as many edges as it has vertices.
A) True
B) False
29) A regular octahedron is a polyhedron with 9 faces.
A) True
B) False
Tell whether the quantity is constant or variable.
30) The price per gallon of gasoline
A) Constant
B) Variable
31) The distance between Chicago and Boston
A) Constant
B) Variable
Write the answer to the problem as an algebraic expression.
32) The product of two numbers is 30. One of the numbers is r. What is the other number?
30
A)
r
B) 30r
r
C)
30
D) 30 - r
Decide whether the statement is true or false.
33) The following figure can be folded into a cube.
A) False
B) True
Write the answer to the problem as an algebraic expression.
34) Elizabeth earned 20 dollars a day at her job. Assuming a 5-day work week, how much did she
earn in s weeks?
A) 100 + s
B) 20s
C) 20 + s
D) 100s
35) A theater ticket for adults is a dollars and the price of a child's ticket is C dollars. If 29 adults
and 45 children attend the theater one night, how much money did the theater make?
A) 45a + 29C
B) 29a + 45C
C) 1305aC
D) 29C + Ca
Substitute to find the value of the expression.
36) A plane flies at 503 miles per hour. The time, in hours, for the plane to travel a distance of d
d
miles is
. How long will it take for the plane to travel 3018 miles?
503
A) 9 hours
B) 1,518,054 hours
C) 6 hours
D) 0.17 hours
37) The area of a triangle with base b and height h is given by the formula A =
1
bh. Find the area
2
of a triangle when the base is 9.0 cm and the height is 6.2 cm.
A) 0.73 cm2
B) 55.8 cm2
C) 22.32 cm2
D) 27.9 cm2
38) In one store, bananas cost 60 cents per pound. The cost, in dollars, of x pounds of bananas is
0.6x. What is the cost of 2.3 pounds of bananas?
A) $1.38
B) $1.58
C) $3.83
D) $0.38
39) Mary earns three times as much per week as Maureen. If x represents the amount that Maureen
earns per week, then 3x represents the amount that Mary earns per week. How much does Mary earn
per week if Maureen earns 359 per week?
A) $1077
B) $119.67
C) $356
D) $362
State whether the equation represents a linear, quadratic, or exponential function.
40) y = 4x - 1 - 12x
A) Linear
B) Quadratic
C) Exponential
D) None of the above
Solve the problem.
41) A reservation clerk worked 15.3 hours one day. She spent twice as much time entering new
reservations as she did verifying old ones and one and a half as much time calling to confirm
reservations as verifying old ones. How much time did she spend entering new reservations?
A) 13.6 hours
B) 6.8 hours
C) 5.1 hours
D) 3.4 hours
42) A fruit salad is made up of cantaloupe, strawberries, and bananas. If a salad weighing 40 ounces
contains three ounces of bananas for every ounce of strawberries and has the same number of ounces
of cantaloupe as strawberries, how many ounces of bananas are in the salad?
A) 24 ounces
B) 8 ounces
C) 19 ounces
D) 16 ounces
43) The table gives, for a particular object, the acceleration A caused by an applied force F.
What force is required to produce an acceleration of 19?
A) 19
B) 95
C) 114
D) 38
Decide if the given number is a solution to the given equation (#44 and 45).
44)
x
= 5; 20
4
A) Yes
B) No
45)
6x + 2 = 40; 6
A) Yes
B) No
Solve the linear equation.
46) -10.8x + 1.4 = -47.6 - 1.0x
A) 5
B) 4.5
C) -59
D) 4.6
Solve the quadratic equation.
47) 3x2 - 15x + 18 = 0
A) -2, -3
B) 2, 3
C) 0, 2, 3
D) 3, 2, 3
Use the discriminant to determine how many real-number solutions the equation has.
48) w2 - 2w + 2 = 0
A) 2
B) 1
C) 0
49) 1 - 7a2 = -7a - 2
A) 2
B) 1
C) 0
Write the equation of a line having the given slope and y-intercept.
50) Slope =
A) y = -
1
; y-intercept = 2
2
1
x+2
2
1
x-2
2
1
C) y = x + 2
2
1
D) y = - x - 2
2
B) y =