Math Jeopardy!

Advanced Algebra

100

Solve for x: 3x²=27

x = +3 and -3

200

Solve for x: x²-5x+6=0

x=3 and x=2

300

Solve for x: 2x²-7x-4=0

x=-0.5 and 4

400

Solve for x: x+5=(x-1)²

x = -1 or 4

500

Solve for x: x⁴-5x²+4=0

x = -2, -1, 1, 2

Functions

100

Yes/No: Is e^x a function?

Yes

200

Find f(3) if f(x)=2x²-5x+1.

4

300

Find the inverse of f(x)=3x-7

y=(x+7)/3

400

Determine whether the function is even, odd, or neither:

f(x)=x³-x

Odd

500

Find the domain of: 1/(x-4)

All real numbers other than 4

Geometry

100

Find the area of a triangle with vertices (0,0), (4,0), and (0,6).

12

200

Find the length of the diagonal of a cube with side length 5.

sqrt(75) or ~8.66

300

Find the equation of a circle with center (2,-3) and radius 6

(x-2)²+(y+3)²=36

400

Find the volume of a cone with radius 3 and height 10.

30pi

500

A regular polygon has interior angles measuring 156*. How many sides does it have?

15 sides

Trigonometry

100

What is sin(30)?

1/2

200

What is cos(45)

sqrt(2)/2

300

Solve for x in 0*<x<360:

sin(x)=1/2

30*, 150*

400

What is sin²x+cos²x equal to?

1

500

Find all solutions to:

2sinx-1=0

between 0<x<360

30*, 150*

Logarithms

100

Simply:

(2x^-1y²)³

8x^-3y⁶

200

log(1000)

3

300

log(x-1)=3

x=1001

400

Find the sum of the first 20 positive integers

210

500

Solve for x: log(3x)=1000

x=1