Rebecca, Liann, and Ashlyn's Jeopardy

Elimination

100

y= x+8

y= 10x + 3

x=2

y=10

200

−9x+4y=6

9x+5y=−33

x=-2

y=-3

300

−9x−6y=15

9x−10y=145

x=5

y=-10

400

−3x+2y=56

−5x−2y=24

x=-10

y=13

500

-2(x+4y)=-2(2)

 2x+5y=-2

x= -6

y= 2

Exponential Equations

100

(1,6) (3,54)

y=2(3^x)

200

(-1,28) (1,1.5) 

y=7(0.25^x)

300

(1,15) (4.405)

y=5(3^x)

400

(1,3) (3,0.75)

y=6(0.5^x)

500

(-1,0.8) (2,100)

y=4(5^x)

Geometric or Arithmetic

100

x= 1,2,3,4,5,6

y= 10,20,30,40,50,60

Arithmetic 

200

x= 1,2,3,4,5

y= 6,18,54,162, 486

Geometric

300

x= 1,2,3,4,5

y= 5,10,15,20,25

Arithmetic

400

x= 1,2,3,4,5

y= 2,4,6,8,10

Arithmetic 

500

x= 1, 2,3,4,5,6

y= 150, 75, 37.5, 18.75, 9.37, 4.69

Geometric

Exponents

100

5² + 9² = 

106

200

5² x 5²

5^7

300

(b^1/2 )²

b

400

√56

56^1/2

500

6561^3/4

729

Quadratics

100

x²-8x+15=0

3,5

200

3x²=-30x-75

-5

300

3x²+12x=-12

-2

400

Jason jumped off a cliff into the ocean in Acapulco while vacationing with some friends. His height as a function of time could be modeled by the function h(t) = -16t2 + 16t + 480 , where t is the time in seconds and h is the height in feet. 

a. How long did it take for Jason to reach his maximum height? 

b. What was the highest point that Jason reached? 

c. Jason hit the water after how many seconds?

a. 1/2 sec

b. 484 feet

c. 6 seconds

500

You are trying to dunk a basketball. You need to jump 2.5 ft in the air to dunk the ball. The height that your feet are above the ground is given by the function h(t) = -16t2 + 12t . 

a. What is the maximum height your feet will be above the ground? 

b. Will you be able to dunk the basketball?

a. 2.25 maximum height

b. NOT be able to dunk the basketball