Math Jeopardy!

Equations

100

2x+3=7

x=2

200

x²-5x+6=0

x=2,3

300

3/x+2/x=5

x=1

400

Solve for y

2x+3y=12 and x-y=1

y=2

500

y'-x=2xy

y=1/2(Ce^{x^2}-1)

Exponents and Natural Logs

100

x³⋅x⁴=?

x⁷

200

5^x=125

x=3

300

3^3x=81

x=4/3

400

ln(e^5x)=25

x=5

500

ln(2x²+6)=ln(-8x)

x=-3,-1

Derivatives

100

f(x)=3x²

^f'(x)=?

f'(x)=6x

200

f(x)=e^3x

^f'(x)=?

f'(x)=3e^3x

300

f(x)=ln(x)

^f''(x)=?

f'(x)=1/x

f''(x)=-1/x²

400

If f(x)=int[0,x³](1/1+ln(t))dt for x>1

Then f'(2)=?

1/1+ln(8)

500

Differentiate with respect to x

f(x,y)=x²y+3xy²-4y

2xy+3y²

Word Problems

100

If a car travels at 60mph for 3 hours, how far does it travel?

180 miles

200

A rectangle has a length of 5 cm and a width of 3 cm. What is its area?

15cm²

300

A tank is being filled with water at a rate of 5 cubic feet per minute. If the tank’s volume is 200 cubic feet, how long will it take to fill the tank?

40 minutes

400

A rectangular swimming pool is 3 meters longer than it is wide. If the perimeter of the pool is 30 meters, what are the dimensions of the pool (length and width)?

Width = 6m

Length = 9m

500

The height h of a projectile at time t is given by h(t)=−16t²+32t+128. Find the maximum height in feet.

144 feet

Trivia

100

What is the value of Pi rounded to 2 decimals?

3.14

200

If you were to multiply all the numbers on a telephone’s keypad, what number would you get?

0

300

What branch of mathematics gets its name from an Arabic word meaning “reunion of broken parts,”, and was coined in the book “The Science Of Restoring And Balancing” by the 1st century AD mathematician al-Kwarizmi?

Algebra

400

What famous formula, often regarded the most beautiful equation in mathematics, combines five fundamental mathematical constants and is attributed to Euler?

e^iπ +1=0

500

What is the largest prime number less than 100?

97