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Instant Jeopardy Review is designed for live play with as many individuals or teams as you like! Each team will need to enter the Join Code above. Teams choose a question, then try to give the best answer.

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Solving Quadratic Equations

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Factor the Quadratic Expression:

9x2 - 36



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Factor the following Quadratic Expression:

12x2 + 36x + 27



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Factor the following Quadratic Expression:

2a2 - 16a + 32



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Factor the following Quadratic Expression:

-6z2 - 600



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Factor the following Quadratic Expression:

10x2 - 90



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Solve the following Quadratic Equation:

x2 + 2x = 6 - 6x



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Solve the following Quadratic Equation:

6x2 + 13x + 6 = 0



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Solve the following Quadratic Equation:

2x2 + x - 28 = 0



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2x2 + 8x = 5x + 20



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Solve the following quadratic equation:

7x - 3x2 = -10



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Factor the quadratic expression:

.25t- .16



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Factor the following quadratic expression:

8100x2 - 10,000



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Factor the folowing quadratic expression:

(x + 3)2 + 3(x + 3) - 54



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6(x + 5)2 - 5(x + 5) + 1



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Factor the following quadratic expression:

3(2a - 3)2 + 17(2a - 3) + 10



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The area in square centimeters of a square area rug is 25x2 - 10x + 1. What are the dimensions of the rug in terms of x?



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The area in square feet of a rectangular field is x2 - 120 x + 3500. The width, in feet, is x - 50. What is the length, in feet?



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The period of a pendulum is the time the pendulum takes to sqing back and forth. The function L = 0.81t2 relates the length L in feet of a pendulum to the time t in seconds that it takes to sqing back and forth. A convention center has a pendulum that is 90 feet long. Find the period.



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Suppose you have an outdoor pool measuring 25 ft by 10ft. You want to add a cement walkway around the pool. If the walkway will be 1 ft thick and you have 304 ft3 of cement, how wide should the walkway be?



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A town is planning a playground. It wants to fence in a rectangular space using an existing wall. What is the greatest area it can fence using 100 ft of donated fencing?



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The height of a projectile fired straight up in the air with an initial velocity of 64 ft/s is h = 64t - 16t2, where h is height in feet and t is time in seconds. The table represents the data for another projectile.

a. Which projectile goes higher? How much higher?

b. At what times t will each projectile be at a height of 16 feet?

Time(t)     Height (h)

 

0.5           20

 

1              32

 

1.5           36

 

2              32

 
   
   
   
   


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Suppose you work for a packaging company and are designing a box that has a rectangular bottom with a perimeter of 36 cm. The box must be 4 cm high. What dimensions give the maximum volume?

  • How can you model the volume of the box with a quadratic function?
  • What informtion can you get from the function to find the maximum volume?


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The New River Gorge Bridge in West Virginia is the world's largest steel single arch bridge. You can model the arch with the function y = -0.000498x2 + 0.847x, where x and y are in feet. How high above the river is the arch?



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The Zhaozhou Bridge in China is the oldest known arch bridge, dating to A.D. 605. You can model the support arch with the function f(x) = -0.001075x2 + 0.131148x, where x and y are measured in feet. How high is the arch above its supports?



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A model for a company's revenue from selling a software package is R = -2.5p2 + 500p, where p is the price in dollars of the software. What price will maximize revenue? What is the maximum revenue?



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9(x + 2)(x - 2)

3(2x+3)2

2(a - 4)2

-6(z2 + 100)

10(x - 3)(x + 3)

-8.69, 0.69

-3/2, -2/3

-4, 7/2

-4, 5/2

-1, 10/3

(0.5t + 0.4)(0.5t - 0.4)

100(9x - 10)(9x + 10)

(x + 12)(x - 3)

(2x + 9)(3x + 14)

2(a + 1)(6a - 7)

(5x - 1) cm by (5x - 1) cm

(x - 70) ft

about 10.5 s

about 3.6 ft

1250 ft2

a. The projectile represented by the equation goes higher by 28 feet.

b. equation: t = 0.27 s and t = 3.73 s; table: t = 0.38 s and t = 2.62 s

4 cm by 9 cm by 9 cm

360 ft

4 ft

$100; $25,000






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