Quadratic Jeopardy

1
Quadratic Jeopardy
2
Quadratic Functions for 100 Write f(x) 5
2x2 4x in standard form. Identify the quadratic
term, the linear term, and the constant term.

• 2x2 4x 5 quadratic term 2x2 the linear
  term 4x the constant term 5

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3
Fun with Factoring for 100What are the
solutions for x if you solve for x by
factoringx2 x 6 0?

• x -3, 2

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4
Puzzling Projectiles for 100John kicked a
soccer ball off the ground with an initial
velocity of 96 feet per second. How high was the
ball after 2 seconds?

• 128 feet

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5
Complete Squares for 100Solve by completing
the square x2 6x 1 0

• x -3 v 10, -3 - v 10

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6
Quad Runners for 100Solve by using the
Quadratic formula2x2 5 x 6 0.

• x (-5 ? v 73) / 4

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7
Quadratic Functions for 200 Write f(x) -5
(x 1)2 in standard form. Identify the
quadratic term, the linear term, and the constant
term.

• x2 2x 4 the quadratic term is x2 the linear
  term is 2x the constant term is 4.

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8
Fun with Factoring for 200What are the
solutions for x if you solve for x by
factoring2x2 5x 12?

• x 4, -3/2

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9
Puzzling Projectiles for 200A group of friends
hiked to Flatiron Butte in Grand Canyon National
Park. The Colorado River was 3451 feet below
them. A rock was thrown upward at an initial
velocity of 10 feet per second. The five hikers
guessed that the time it would take for the rock
to hit the river would be either 12, 15, 18, 20,
or 21 seconds. Which is the best guess?

• 15 seconds

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10
Complete Squares for 200Solve by completing
the square x2 8x 2 0

• x -4 v 14, -4 - v 14

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11
Quad Runners for 200Solve by using the
Quadratic formula6x2 3 x 2 0.

• x (-3 ? v 57) / 12

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12
Quadratic Functions for 300Graph y x2 1.
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13
Fun with Factoring for 300What are the
solutions for x if you solve for x by
factoring3x2 4x - 15 0?

• x -3, 5/3

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14
Puzzling Projectiles for 300 John kicked a
soccer ball off the ground with an initial
velocity of 96 feet per second. How high did the
soccer ball go?

• 144 feet

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15
Complete Squares for 300Solve by completing
the square x2 10x 1 0

• x -5 2v 6, -5 - 2v 6

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16
Quad Runners for 300Solve by using the
Quadratic formula- 2 x 4 -3x2.

• x (1 ? v 13) / 3

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17
Quadratic Functions for 400Find the real
roots of the equation by graphing y 3x2 3.

• The real roots are x -1
• and x 1.

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18
Fun with Factoring for 400Factor to find the
x-intercepts of the graphx2 - 5x 24 0.

• The intercepts are 8 and -3.

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19
Puzzling Projectiles for 400John kicked a
football off a 10 foot wall with an initial
velocity of 64 feet per second. What was the
maximum height it reached and how long did it
take to reach that height?

• 74 feet 2 seconds

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20
Complete Squares for 400Solve by completing
the square x2 - 4x - 2 0

• x 2 v 6, 2 - v 6

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21
Quad Runners for 400Solve by using the
Quadratic formula4x2 4x 7.

• x (1 ? 2v 2) / 2

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22
Quadratic Functions for 500Graph the equation
y x2 2x -5.
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23
Fun with Factoring for 500Factor to find the
x-intercepts of the graph4x2 - 11x 3.

• The intercepts are 3, -1/4

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24
Puzzling Projectiles for 500A ball is thrown
into the air with an initial velocity of 48 feet
per second. The ball was released 5 feet above
the ground. When will the ball be 4 feet above
the ground? (to 4 decimal places)

• 3.0207 seconds

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25
Complete Squares for 500Find the term that
must be added to both sides of the equation so
that the equation can be solved by the method of
completing the square x2 6x 9

• 9

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26
Quad Runners for 500Solve by using the
Quadratic formula4x2 5 x.

• x -1, 5/4

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27
Delightful Discriminants for 100Find the
discriminant determine the number and kind of
roots 4x2 16 x 16 0.
The discriminant is 0 and there is one real root.
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28
Delightful Discriminants for 200Find the
discriminant determine the number and kind of
roots 3x2 9 x 30 0.
The discriminant is 441 and there are two real
roots.
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29
Delightful Discriminants for 300Find the
discriminant determine the number and kind of
roots 2x2 x 3 0.
The discriminant is 23 and there are two complex
roots.
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30
Delightful Discriminants for 400Find the
discriminant determine the number and kind of
roots 4x2 16 x 20 0.
The discriminant is 576 and there are two real
roots.
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31
Delightful Discriminants for 500Describe the
nature of the roots of the equation 2x2 2 x
3 0.
Two imaginary roots.
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32
Complex simplification problems for
100Identify the real part and the imaginary
part of 66i.
Real 6, Imaginary 6i
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33
Complex simplification problems for
200(-52i)-(-77i)
2-5i
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34
Complex simplification problems for 300
11/10(6/5)i
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35
Complex simplification problems for
400x28x200
-42i, -4-2i
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36
Complex simplification problems for
500(10x7)2105
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