MAO Jeopardy Competition 2025

Calculus

100

What is the product rule?

f’(x)g(x) + f(x)g’(x)

200

Derive the equation y= x⁴ - 2sin(3x)

y’= 4x³ - 6cos(3x)

300

What is the notation for summation?

∑

400

If y= e^x(x³-3), what is dy/dx?

x³e^x + 3x²e^x - 3e^x

500

Integrate this equation (2x+1)²

4/3x³ + 2x² + x + C

Algebra 1

100

What is the point slope form of a line?

y-y₁ = m(x-x₁)

200

Grace bought bananas for $5 per pound and lemons for $2.50 per pound. Write an expression representing the total cost.

C= 5x + 2.50y

300

How many solutions does the system of equations have?

y= 25x+2

y= 6(5x-3)

1 solution

400

Multiply: (x+2)(x²-2x+4)

x³+8

500

Factor: 7x²+14x-21

7(x+3)(x-1)

Algebra 2

100

What is the highest exponent in a polynomial called?

The degree

200

Solve for x: 2x+5=11

x=3

300

Simplify: (x²-4)/(x+2)

x-2

400

What is the vertex of the parabola represented by the equation y=x²+4x+1?

(-2,-3)

500

Find all solutions (real or complex): x³-8=0

x=2, x= -1+i√3, and x= -1-i√3

Geometry

100

What are supplementary angles?

Two angles that add up to 180 degrees

200

What is the formula for the area of a circle?

πr²

300

If f(x)= 3x²-2 and g(x)= 4x+2, what is (f+g)(-1)?

-1

400

If the measures of a triangle are x, 2x, and 3x, what are the measures of each angle?

x= 30^o, 2x= 60^o, 3x= 90^o

500

If a treasure chest lies exactly halfway between an oak tree at point (2,4) and a stone wall at point (6,8), what are its coordinates?

(4,6)

Statistics

100

What is the formula for z-score?

z= (observed value - mean)/standard deviation

200

What does standard deviation represent?

How spread out a set of numbers is from their average.

300

If the p-value is low…

reject the H_o!!

400

P(A|B)=

P(A∩B)/P(B)

500

What is it called when the null hypothesis is rejected, even though it is true?

A type 1 error