AP PreCalculus Jeopardy!

Polynomial Equations

100

x⁴ -9x²+20=0

x=+/- 2 and x=+/-√5

200

x⁴ - 7x² + 12 = 0

x=+/- 2 and x=+/-√3

300

x⁶ -8x³+16=0

x=+/-√2

400

x⁶ -10x³+9=0

x=+/-1 and x=+/-3

500

x⁶-7x³+12=0

x=+/- 2 and x=+/-sqrt3

Exponential and Logarithmic Functions

100

(5^-2+5⁰)^-1

25/26

200

logbase2 of 8

3

300

Given that log 25 = 1.3979, find log 2500

3.3979

400

Solve 5^x=8 to the nearest hundredth

1.29

500

2^logbase4(64)

8

Trig

100

Convert 270° to radians, in terms of pi

3pi/2

200

Convert 5pi/3 radians to degrees

300°

300

Complete the statement with >, =, or <:

Sin 60° __ Sin 65°

<

400

Complete the statement with >, =, or <:

Sin 20° __ Sin 160°

=

500

Find tan of pi/2

Undefined

Conics

100

Find the coordinates of any points where the line x-y=2 and the circle x²+y²=4 intersect.

(2, 0) and (0, -2)

200

Find the coordinates of the vertices and the foci of the ellipse with equation 9x²+5y²=45.

Vertices: (0,3) and (0,-3)

Foci: (0,2) and (0,-2)

300

Find an equation of the circle having (2,5) and (-2,-1) as endpoints of a diameter.

x²+(y-2)²=13

400

Find an equation for the parabola whose directrix is x=-3 and whose focus is (3,0)

y²=12x

500

Find the equation of an ellipse with foci at (0, 2) and (0, -2), and vertices at (0, 3) and (0, -3).

x²/5 + y²/9 =1

Inverse Functions

100

Is y=2x+5 a one-to-one function?

Yes

200

Find the inverse of x²+2

f^-1(x)=+/-sqrt(x-2)

300

Is it one-to-one?

F={(-2,1), (-1,0), (0,1), (1,2), (2,2)}

No, not one-to-one

400

One to one? 

G={(3,1), (0,2), (2,3), (4,0)}

Yes!

500

^-1Inverse:

G={(3,1), (0,2), (2,3), (4,0)}

G^-1 = {(1,3), (2,0), (3,2), (0,4)}