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Powers, Roots,
& Radical
s
Rationals
Conics, Sequences
, & Series
Probability &
Statistics
Potpourri
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400
500
400
500
300 300 300 300 300
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Powers, Roots,
& Radical
s
Rationals
Conics, Sequences
, & Series
Probability &
Statistics
Potpourri
Powers, Roots, & Radicals - $100For which of the following functions is f (−3) < f (3)?
2
3
4
(A) 4
(B) 4
4(C)
(D) 4
(E) 4
f x x
f x
f xx
f x x
f x x
Powers, Roots, & Radicals - $100 Answer
3D 4f x x
Powers, Roots, & Radicals - $200
If 8 15, then ?k k
Powers, Roots, & Radicals - $200 Answer
49
Powers, Roots, & Radicals - $300
If , , and are different
positive integers and
2 2 2 64, then
2 2 2 ?
a b c
a b c
a b c
Powers, Roots, & Radicals - $300 Answer
14
Powers, Roots, & Radicals - $400
611
32
If and are positive integers
and =432, what is the
value of ?
a b
a b
ab
Powers, Roots, & Radicals - $400 Answer
12
Powers, Roots, & Radicals - $500
2 1
1
If and are positive and
10 100 , what is
in terms of ?
m k
m k m
m k
Powers, Roots, & Radicals - $500 Answer
1
10k
Rationals - $100
If 2 5 and 5 6 ,
what does equal in terms of ?
r s s t
r t
Rationals - $100 Answer
3t
Rationals - $200
2
If is an integer greater than 1 and if
1, which of the following must be true?
I.
II. is an integer
III.
x
y xx
y x
y
xy x
Rationals - $200 Answer
I and III only
Rationals - $300
If 2 is equal to 125 percent
of 4 , what is the value of ?
a b
ab
b
Rationals - $300 Answer
3
Rationals - $400
The total daily cost , in dollars of producing
units of a certain product is given by the function
600 200, where is a constant and
100. If 20 units were produced yesterday for a
total cos
c
x
xc x k k
xx
t of $640, what is the value of ?k
Rationals - $400 Answer
50
Rationals - $500
The force required to stretch a spring beyond its natural length is proportional to how far the spring is being stretched. If a force of 15 pounds stretches a spring 8 centimeters beyond its natural length, what force, in pounds, is needed to stretch this spring 20 centimeters beyond its natural length?
Rationals - $500 Answer
37.5
Conics, Sequences, & Series - $100
In the xy-plane, the center of a circle has coordinates (3,−7).If one endpoint of a diameter of the circle is (−2,−7), whatare the coordinates of the other endpoint of this diameter?
Conics, Sequences, & Series - $100 Answer
(8,−7)
Conics, Sequences, & Series - $200
What 2 numbers should be placed in the blanks below so that the difference between consecutive numbers is the same?
17, _____, _____, 41
Conics, Sequences, & Series - $200 Answer
25, 33
Conics, Sequences, & Series - $300
The depth of a pond is 180 cm and is being reduced by1 cm per week. The depth of a second pond is 160 cmand is being reduced by ½ cm per week. If the depths of both ponds continue to be reduced at these constantrates, in about how many weeks will the ponds haveThe same depth?
Conics, Sequences, & Series - $300 Answer
40
Conics, Sequences, & Series - $400
A circle in the standard (x, y) coordinate plane istangent to the x-axis at 5 and tangent to the y-axis at 5. What is an equation of the circle?
Conics, Sequences, & Series - $400 Answer
2 25 5 25x y
Conics, Sequences, & Series - $500
On his first day as a telemarketer, Marshall made 24 calls. His goal was to make 5 more calls on each successive day than he had made the day before. If Marshall met, but did not exceed, his goal, how many calls had he made in all after spending exactly 20 days making calls as a telemarketer?
Conics, Sequences, & Series - $500 Answer
1,430
Probability & Statistics - $100
If a marble is randomly chosen from a bag thatcontains exactly 8 red marbles, 6 blue marbles, and6 white marbles, what is the probability that the marble will NOT be white?
Probability & Statistics - $100 Answer
7
10
Probability & Statistics - $200
The median of a set of 9 consecutive integers is 42. What is the greatest of these 9 integers?
Probability & Statistics - $200 Answer
46
Probability & Statistics - $300
In a poll, 35 people were in favor of building a new library, 14 people were against it, and 1 person had no opinion. What fraction of those polled were in favor of building a new library?
Probability & Statistics - $300 Answer
2
3
Probability & Statistics - $400
*Daily Double!*
A list of numbers consists of positive and
negative numbers. If a number is picked at random
from this list, the probability that the number is
3positive is . What is the value of ?
5
p n
n
p
Probability & Statistics - $400 Answer
2
3
Probability & Statistics - $500If the average (arithmetic mean) of x and y is k,
Which of the following is the average of x, y, and z?
2(A)
32
(B)2
(C)3
2(D)
22
(E)3
k z
k z
k z
k z
k z
Probability & Statistics - $500 Answer
2(A)
3
k z
Potpourri - $100
2If 1, then
?
f x x
f x h
Potpourri - $100 Answer
2 22 2x xh h
Potpourri - $200
What is the matrix product
2 1 0 1 ?
3
a
a
a
Potpourri - $200 Answer
0
2 0 2
3 0 3
a a
a a
a a
Potpourri - $300
2In the complex numbers, where 1,
1 1?
1 1
i
i
i i
Potpourri - $300 Answer
1
2
i
Potpourri - $400
What is a value of that
satisifies log 36 2?x
x
Potpourri - $400 Answer
6
Potpourri - $500
If the volume of a cube is 8, what is the shortest distance from the center of thecube to the base of the cube?
Potpourri - $500 Answer
1
Final Jeopardy Category:
Logarithms
Final Jeopardy Question
2
If log and log ,
then log ?
a a
a
x s y t
xy
Final Jeopardy Answer
2 s t
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