Math Jeopardy

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Transcript Math Jeopardy

Quirky
Exquisite Graphing
Quadratics Exponents like a G
Fun with
Word
Problems
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Quirky Quadratics- $100
What is the equation of the axis of
symmetry for the following parabola?
1
2
( y  5)  ( x  6)
2
ANSWER
Quirky Quadratics- $200
Write a mapping rule for the following
3(y  6)  (x  7)

2
ANSWER
Quirky Quadratics- $300
The zeros of the function are?
f ( x)  x  3x  28
2
ANSWER
Quirky Quadratics- $400
Determine the nature of the roots of
y  3x  4 x  9
2
ANSWER
Quirky Quadratics- $500
Find the coordinates of the vertex of
y  2x  8x  5
2

ANSWER
Exquisite Exponents- $100
Solve for x
2
3 x4
2
9 x
ANSWER
Exquisite Exponents- $200
Solve for x
(2
x 5 x
)  64
ANSWER
Exquisite Exponents- $300
Solve the system for x and y
x y
 32
2 x y
 81
2
3
ANSWER
Exquisite Exponents- $400
Solve for x
(4 )  3(4 )  2  0
x 2
x
ANSWER
Exquisite Exponents- $500
Evaluate
2
1 1
(2x  y  z )

4
ANSWER
Graphing like a G - $100
Which of the
following
graphs represents a
quadratic
with imaginary
roots?
a)
b)
c)
d)
ANSWER
Graphing like a G - $200
The equation of the horizontal
asymptote is
1
x
(y  9)  3
5
ANSWER
Graphing like a G - $300
Find the equation of the function shown
ANSWER
Graphing like a G - $400
What are the coordinates of the focal
point under the following
transformations?
y  2(4)
x 5
3
ANSWER
Graphing like a G - $500
The graph of
a)
b)
c)
d)
1
 y  (2) (x 4 ) 1
3
is given by:
ANSWER
Logs - $100
Solve for x
log 10 ( x  9)  log 10 ( x  3)  1
2
ANSWER
Logs - $200
Solve for x
log b b
x 2  2 x 5
3
ANSWER
Logs - $300
Solve for x
log 4 ( x  4)  log 4 ( x  2)  log 4 35
ANSWER
Logs - $400
Solve for x
(log 2 x)  5(log 2 x)  6  0
2
ANSWER
Logs - $500
Solve for x
(log 3 x)
log4 64 log4 4
 4(log 3 x)
log7 245 log7 5
0
ANSWER
Fun with Word Problems - $100
The initial concentration of a particular medication in your
bloodstream is 128 ug/cm3. Every 5 hours it is reduced by 35%.
a)Write an equation for concentration in terms of time.
b) What will the concentration be after 7 hours?
ANSWER
Fun with Word Problems - $200
The half life of Radon-222 is 84 hours. If the initial amount of
Radon-222 found in a sample is 64 grams,
a) Write an equation for the half life of Radon-222 in the sample.
b) After how long will the remaining amount of Radon-222 be 8
grams?
ANSWER
Fun with Word Problems - $300
Brian invests $9000 in his child’s college
fund. The fund grows at a rate of 8% per year
compounded annually. How long will it take
for the fund to grow to $20,000 ?
ANSWER
Fun with Word Problems - $400
The San Francisco earthquake in 1989
registered 7.1 on the Richter scale. What
would an earthquake with twice the intensity
measure on the Richter scale?
(Hint: R=log(I/I0))
ANSWER
Fun with Word Problems - $500
Tones deposits $800 into an investment fund
that earns 8% interest every 2 years. Holl Dogg
deposits $1000 into an investment fund that
earns 6% every 3 years. After how many years
will their investments be equal?
ANSWER
****Answers****
Quirky Quadratics- $100
x  6
DONE
Quirky Quadratics- $200
1
(x, y) (x  7, y  6)
3

DONE
Quirky Quadratics- $300
( 4,0)
and
( 7 ,0 )
DONE
Quirky Quadratics- $400
b  4ac
2
(4)  4(3)(9)  0
imaginary
2
DONE
Quirky Quadratics- $500
1
2
(y 13)  (x  2)
2
vertex  (2,13)
DONE
Exquisite Exponents- $100
5
x
4
DONE
Exquisite Exponents- $200
x6
and
x  1
DONE
Exquisite Exponents- $300
x3
y2
DONE
Exquisite Exponents- $400
1
x 
2
and
x 0
DONE
Exquisite Exponents- $500
2
x y
2 4
2
2z  x y z  x
DONE
Graphing like a G - $100
c)
DONE
Graphing like a G - $200
y 9
DONE
Graphing like a G - $300
y  3(2)
x
DONE
Graphing like a G - $400
(5,5)
DONE
Graphing like a G - $500
a)
DONE
Logs - $100
x7
DONE
Logs - $200
x  2
and
x4
DONE
Logs - $300
x9
and
x  3(extraneous)
DONE
Logs - $400
x 8
and
x4
DONE
Logs - $500
x 1
and
x  81
DONE
Fun with Word Problems - $100
a)
b)
C  128(0.65)
t
5
7
5
3
ug/cm
C  128(0.65)  70.03
DONE
Fun with Word Problems - $200
a)
b)
1
H  64( )
2
t
84
t  252 hours
DONE
Fun with Word Problems - $300
x  10.38 years
DONE
Fun with Word Problems - $400
R  7.40
DONE
Fun with Word Problems - $500
x  11.71 years
DONE
CONTINUE
CONTINUE
CONTINUE
Final Jeopardy
Solve the system for x and y
log 2 (4 x  y )  3
log 2 (13  5 x)  1  log 2 ( y )
CONTINUE
Final Jeopardy
x 1
y4
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