Let

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Lets Get Ready
To Play Some . . .
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JEOPARDY
JEOPARDY
JEOPARDY
JEOPARDY
JEOPARDY
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Jeopardy Board
Final Jeopardy
Solve Quadratic Equations Roots Analyze Parabolic Graphs Problem Solving
100 100 100 100
200 200 200 200
300 300 300 300
400 400 400 400
500 500 500 500
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Solve Quadratic Equations 100
What is the solution set for the equation 3x2
4x 1 0?
Board
Answer
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Solve Quadratic Equations 100
What is the solution set for the equation 3x2
4x 1 0?
Algebra
Graphing
Factor 3x2 4x 1
( )( ) 0
3x
x
1
1
Set each factor 0
3x 1 0 and x 1 0
1
1
1
1
3x 1
x 1
3
3
Board
7
Solve Quadratic Equations 200
The polynomial x2 x - 6 is modeled below using
algebraic tiles.
What are the solutions to the equation x2 x 6?
Board
Answer
8
Solve Quadratic Equations 200
The polynomial x2 x - 6 is modeled below using
algebraic tiles.
What are the solutions to the equation x2 x 6?
First, set equal to zero
A x -3 and x -2 B x -3 and x 2 C x 3
and x -2 D x 3 and x 2
x2 x 6
Set each factor 0
6
6
x2 x 6 0
x 3 0 and x 2 0
3
3
2
2
Factor x2 x 6
Board
x 2
x -3
( )( ) 0
x
x
3
2
9
Solve Quadratic Equations 300
What is the solution set for the equation 4(3x -
2)2 36
Board
Answer
10
Solve Quadratic Equations 300
What is the solution set for the equation 4(3x -
2)2 36
First, set equal to zero
4(3x - 2)2 36
2nd QUIT 2nd ANS (-)
36
36
4(3x - 2)2 36 0
ENTER
ENTER
ENTER
Board
11
Solve Quadratic Equations 400
Nancy threw a ball upward from the roof of a
50-foot-high building at an initial velocity of
40 feet per second. The table shows the
relationship between the time elapsed and the
balls height above the ground. If the height of
the ball is a quadratic function of time,
between what times did the ball reach a height
of 70 ft

Board
Answer
12
Solve Quadratic Equations 400
Nancy threw a ball upward from the roof of a
50-foot-high building at an initial velocity of
40 feet per second. The table shows the
relationship between the time elapsed and the
balls height above the ground. If the height of
the ball is a quadratic function of time,
between what times did the ball reach a height
of 70 ft
F Between 0 and 0.5 sec. G Between 1 and 1.5
sec. H Between 0.5 and 1 sec. and 1.5 and 2
sec. J Between 1 and 1.5 sec. and 1.5 and 2 sec.
Path of the ball
Height of 70
It occurs twice
Board
13
Solve Quadratic Equations 500
The completion of a certain chemical reaction is
expressed by the equation y 250 - 5x - x2,
where y is the number of seconds needed to
complete the reaction and x is the temperature in
degrees Celsius at which the reaction occurs. If
the reaction is complete in 200 seconds, what is
the temperature at which the reaction occurs?
Board
Answer
14
Solve Quadratic Equations 500
The completion of a certain chemical reaction is
expressed by the equation y 250 - 5x - x2,
where y is the number of seconds needed to
complete the reaction and x is the temperature in
degrees Celsius at which the reaction occurs. If
the reaction is complete in 200 seconds, what is
the temperature at which the reaction occurs?
y 250 5x x2
Where do you put 200 sec?
200 250 5x x2
A 5C B 7C C 10C D 12C
First, set equal to zero
200 250 5x x2
Set each factor 0
200
200
0 50 5x x2
x 10 0 and x 5 0
5
5
Factor x2 5x 50
10
10
Board
x -10
x 5
( )( ) 0
x
x
10
5
15
Roots 100
The graph of the equation y x2 6x 8 has
which of the following roots?
Board
Answer
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Roots 100
The graph of the equation y x2 6x 8 has
which of the following roots?
A x 2, x 4 B x 2, x 4 C x 2, x
4 D x 2, x 4
Roots Solutions x-intercepts Zeros
Algebra
Factor x2 6x 8
( )( ) 0
x
x
2
4
Set each factor 0
x 2 0 and x 4 0
2
2
4
4
x 2
x 4
Board
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Roots 200
What are the roots of the quadratic equation x2 -
3x 2 0?
Board
Answer
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Roots 200
What are the roots of the quadratic equation x2 -
3x 2 0?
A -2 and -1 B -2 and 1 C 2 and -1 D 2 and 1
Roots Solutions x-intercepts Zeros
Algebra
Factor x2 3x 2
( )( ) 0
x
x
2
1
Set each factor 0
x 2 0 and x 1 0
2
2
1
1
x 2
x 1
Board
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Roots 300
What are the roots of the function graphed below?
Board
Answer
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Roots 300
What are the roots of the function graphed below?
F (-1, -9) and (0, -8) G (0, -4) and (2,
0) H (-4, 0) and (2, 0) J (0, 2) and (0, -4)
Board
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Roots 400
What are the x-intercepts of the graph of the
equation y x2 x - 12?

Board
Answer
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Roots 400
What are the x-intercepts of the graph of the
equation y x2 x - 12?
A x 4, x 3 B x -4, x 3 C x -4, x
-3 D x 4, x -3
Roots Solutions x-intercepts Zeros
Algebra
Factor x2 x 12
( )( ) 0
x
x
3
4
Set each factor 0
x 3 0 and x 4 0
3
3
4
4
x 3
x -4
Board
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Roots 500
Which ordered pair represents one of the roots of
the function f(x) 2x2 3x - 20?
Board
Answer
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Roots 500
Which ordered pair represents one of the roots of
the function f(x) 2x2 3x - 20?
Roots Solutions x-intercepts Zeros
Algebra
Factor 2x2 3x 20
( )( ) 0
2x
x
5
4
Set each factor 0
2x 5 0 and x 4 0
5
5
4
4
2x 5
x -4
2
2
Board
25
Analyze Parabolic Graphs 100
The graph of the function y x2 is given to the
right. How will the graph be affected if the
coefficient of x2 is decreased to .25 ?
F The parabola will be wider. G The parabola
will be narrower. H The parabola will be
translated up. J The parabola will be translated
down.
Board
Answer
26
Analyze Parabolic Graphs 100
The graph of the function y x2 is given to the
right. How will the graph be affected if the
coefficient of x2 is decreased to .25 ?
F The parabola will be wider. G The parabola
will be narrower. H The parabola will be
translated up. J The parabola will be translated
down.
Board
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Analyze Parabolic Graphs 200
Shirley graphed a function of the form y ax2
c. She then translated the graph 8 units up,
resulting in the function y - ? x2 5. Which
of the following best represents Shirleys
original function?
A y - ? x2 13 B x - ? x2 3 C x - ?
x2 - 13 D x - ? x2 - 3
Board
Answer
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Analyze Parabolic Graphs 200
Shirley graphed a function of the form y ax2
c. She then translated the graph 8 units up,
resulting in the function y - ? x2 5. Which
of the following best represents Shirleys
original function?
A y - ? x2 13 B x - ? x2 3 C x - ?
x2 - 13 D x - ? x2 - 3
Board
29
Analyze Parabolic Graphs 300
If c -5, how does the graph of y x2 2c
compare to the graph of y x2 c?
F The graph of y x2 2c is below the graph of
y x2 c. G The graph of y x2 2c is above
the graph of y x2 c. H The graph of y x2
2c is narrower than the graph of .
y x2 c. J The graph of y x2
2c is wider than the graph of y x2 c.
Board
Answer
30
Analyze Parabolic Graphs 300
If c -5, how does the graph of y x2 2c
compare to the graph of y x2 c?
F The graph of y x2 2c is below the graph of
y x2 c. G The graph of y x2 2c is above
the graph of y x2 c. H The graph of y x2
2c is narrower than the graph of .
y x2 c. J The graph of y x2
2c is wider than the graph of y x2 c.
Board
31
Analyze Parabolic Graphs 400
The graph of y 11x2 c is a parabola with a
vertex at the origin. Which of the following is
true about the value of c?
A c gt 0 B c lt 0 C c 0 D c 11
Board
Answer
32
Analyze Parabolic Graphs 400
The graph of y 11x2 c is a parabola with a
vertex at the origin. Which of the following is
true about the value of c?
A c gt 0 B c lt 0 C c 0 D c 11
Board
33
Analyze Parabolic Graphs 500
If the graph of y 19x2 31 is translated up
15 units, which of the following equations will
best describe the resulting graph?
F y 34x2 31 G y 34x2 46 H y 19x2
46 J y 19x2 16
Board
Answer
34
Analyze Parabolic Graphs 500
If the graph of y 19x2 31 is translated up
15 units, which of the following equations will
best describe the resulting graph?
F y 34x2 31 G y 34x2 46 H y 19x2
46 J y 19x2 16
Board
35
Problem Solving 100
Mr. Collins invested some money that will double
in value every 12 years. If he invested 5,000 on
the day of his daughters birth, how much will
the investment be worth on his daughters 60th
birthday?
Board
Answer
36
Problem Solving 100
Mr. Collins invested some money that will double
in value every 12 years. If he invested 5,000 on
the day of his daughters birth, how much will
the investment be worth on his daughters 60th
birthday?
5,000
Starts at ____________
A 300,000 B 160,000 C 80,000 D 320,000
10,000
12 years ____________
20,000
24 years ____________
40,000
36 years ____________
80,000
48 years ____________
Board
160,000
60 years ____________
37
Problem Solving 200
Herman claimed that the square of a number is
always greater than or equal to the number.
Which of the following examples disproves
Hermans claim? F A comparison of (-1.5)2 with
-1.5 G A comparison of (-0.5)2 with -0.5 H A
comparison of (0.5)2 with 0.5 J A comparison of
(1.5)2 with 1.5
Board
Answer
38
Problem Solving 200
Herman claimed that the square of a number is
always greater than or equal to the number.
Which of the following examples disproves
Hermans claim? F A comparison of (-1.5)2 with
-1.5 G A comparison of (-0.5)2 with -0.5 H A
comparison of (0.5)2 with 0.5 J A comparison of
(1.5)2 with 1.5
greater
2.25 is _______ than -1.5
(-1.5)2 2.25
greater
0.25 is _______ than -0.5
(-0.5)2 0.25
less
0.25 is _______ than 0.5
(0.5)2 0.25
greater
2.25 is _______ than 1.5
(1.5)2 2.25
Board
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Problem Solving 300
The graph of y 11x2 c is a parabola with a
vertex at the origin. Which of the following is
true about the value of c? A c gt 0 B c lt 0 C c
0 D c 11
Board
Answer
40
Problem Solving 300
The graph of y 11x2 c is a parabola with a
vertex at the origin. Which of the following is
true about the value of c? A c gt 0 B c lt 0 C c
0 D c 11
greater
Means c is _______ than 0
Like 3, so graph y 11x23
less
Means c is _______ than 0
Like -3, so graph y 11x2 3
equal
Means c is _______ than 0
So graph y 11x2 0
Board
41
Problem Solving 400
The area of a rectangle is 144j9k15 square units.
If the width of the rectangle is 8j4k5 units,
what is the rectangles length?
Board
Answer
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Problem Solving 400
The area of a rectangle is 144j9k15 square units.
If the width of the rectangle is 8j4k5 units,
what is the rectangles length?
F 1152 j13k20 units G 152 j13k20 units H
136j5k10 units J 18j5k10 units
length times width
Area of a rectangle ____________________
144j9k15 Length times 8j4k5
How do you solve? __________
Divide
Which means do three problems
k10
18
j5
Board
43
Problem Solving 500
A science class launches a solar-powered rocket
into the air. The rockets height at time t, in
seconds, is expressed by the equation 48 2t2
4t. How many seconds did it take the rocket to
reach that height?
Board
Answer
44
Problem Solving 500
A science class launches a solar-powered rocket
into the air. The rockets height at time t, in
seconds, is expressed by the equation 48 2t2
4t. How many seconds did it take the rocket to
reach that height?
A 10 B 9 C 6 D 2
Board
45
Final Jeopardy Category
Law of Exponents
Board
46
Final Jeopardy Question
Which polynomial best represents the area of the
regular hexagon shown below?
Area (apothem)(perimeter)
Answer
47
Final Jeopardy Answer
Which polynomial best represents the area of the
regular hexagon shown below?
Area (apothem)(perimeter)
Area 0.5(x)(4x 6)
Area 0.5(4x2 6x)
F 5x 6 G 2x2 3x H 4x2 12x J 4x 12
Apothem x
Perimeter is distance around
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