MAO Jeopardy

Algebra

100

20x + 5 = 5x + 65

x=4

200

Find x: (2x+3)/4 = (x+7)/3

x = 9.5

300

How much of a 70% orange juice drink must be mixed with 44 gallons of a 20% orange juice drink to obtain a mixture that is 50% orange juice?

66 gallons

Geometry

100

What is the area of a circle inscribed in a square with a side length of 10?

A=25π

200

If the interior angles of triangle ABC are:

A: 4x, B: 2x-10, C: 3x-8

Find x²

484

300

A cylinder has a height of 10 inches and a base radius of 4 inches. What is the total surface area, including the top and bottom?

112π in^2

Precalc

100

F(x)= x² - 3x - 2 Let G(x)= f(x+4). Find G(x)

x² + 5x + 2

200

Find the average rate of change of the function (f(x) = x² - 2x + 8 from x = 2 to x = 5

5

300

Given the sequence 1, 5, 9, 13, ...

Determine if the sequence is arithmetic or geometric and find the 40th term.

Arithmetic

157