100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Rationals Conics, Sequences, &...

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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


49


If , , and are different

positive integers and

2 2 2 64, then

2 2 2 ?

a b c

a b c

a b c


14


611

32

If and are positive integers

and =432, what is the

value of ?

a b

a b

ab


12


2 1

1

If and are positive and

10 100 , what is

in terms of ?

m k

m k m

m k


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


I and III only

Rationals - $300

If 2 is equal to 125 percent

of 4 , what is the value of ?

a b

ab

b


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


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?


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)


What 2 numbers should be placed in the blanks below so that the difference between consecutive numbers is the same?

17, _____, _____, 41


25, 33


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?


40


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?


2 25 5 25x y


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?


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


The median of a set of 9 consecutive integers is 42. What is the greatest of these 9 integers?


46


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?


2

3


*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


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


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


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


1

2

i

Potpourri - $400

What is a value of that

satisifies log 36 2?x

x


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?


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

100 400 500 400 500 400 500 300 200 100 Powers, Roots, & Radicals Rationals Conics, Sequences, &...

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