Janky Jeopardy

Algebra

100

Simplify

(2⁴xy³)/(8x²y²x^-1z^-2)

2yz²

200

Horizontal Asymptote

(x²+2x+1)/(x³+1)

y=0

300

Solve for x:

log₃(x+6)=2+log₃(x-2)

x=3

400

What's the Determinant?

    | x²     x |    

| x+1  3 |

2x²-x

500

Solve for x if x = -5 for one of the solutions:

x⁵ + 5x⁴ - 2x³ - 10x² + x + 5 = 0

x = -5, 1, -1

Geometry

100

What angle do supplementary angles add up to?

180

200

Right triangle with a leg of 6 and a hypotenuse of 10. What is the perimeter?

24

300

A pentagon has angles of 100, 80, 70, and 120. What is the last angle?

170

400

An isosceles right triangle has a leg of length 5. What is the perimeter?

10 + 5sqrt(2)

500

What type of center is made from the altitudes of a triangle intersecting?

Orthocenter

Calculus

100

Derivative of e^x

e^x

200

Integral of 1/(2x²)

-1/(2x) + c

300

Derivative of 2cos²(2x)+2sin²(2x)

0

400

Integral of x³sinx

-x³cosx + 3x²sinx + 6xcosx - 6sinx + c

500

Integral of sec⁴x

1/3 tan³x + tanx + c

Valentine's Day

100

Cupid has what name in Greek mythology?

Eros

200

What brain chemical is known as the "cuddle" or  "love hormone?"

Oxytocin

300

The love goddess Aphrodite was said to be born from what?

Seafoam

400

In Roman mythology, with whom did Cupid fall in love?

Psyche

500

What emperor called for St. Valentine's execution?

Claudius II

Natural Science

100

PLANTS GREEN. WHY.

Chlorophyll

200

What is Newton's First Law of Motion?

An object will have a constant velocity (same speed and direction) unless acted upon by an external net force

300

Which planets spin backward relative to the others?

Venus and Uranus

400

Why is gravity not a force?

General relativity

500

What theory involves cells engulfing mitochondria?

Endosymbiotic theory