AP Pre-Calc Jeopardy

Functions

100

What is the equation for a linear function?

f(x)=mx+b

200

What is the quadratic function?

f(x)=ax²+bx+c

300

What is the exponential function?

f(x)=a⋅b^x

400

What is the logarithmic function?

f(x)=log_b(x)

500

How do functions work in math?

A relationship between inputs where each input is related to exactly one output.

Trigonometry

100

Complete the identity: _____ + 1=cot²x

csc²x

200

Solve on [0,2π): sec x + 2=0

2π/3, 4π/3

300

What would you find first in this problem, and what law would you use to find it? Solve triangle ABC given that a = 8, c = 5, and B = 40

b, using law of cosines

400

Evaluate arc cos (-2)

Not possible.

500

Given that a = 15, b = 25, A = 85, are there one, two, or no triangles possible?

no triangles possible

Unit Circle

100

This trigonometry ratio uses the fraction adjacent over hypotenuse.

cosine(x)

200

The conversion from this radian measure to degrees is 135 degrees.

3*pi/4.

300

The sine of 4*pi/3.

- sqrt(3)/2

400

sin 90 degrees

1

500

The conversion from this radian measure to degrees is 390 degrees.

13*pi/6.

Equations

100

Solve on [0, 2pi): tanx = -1

x = 3pi/4, 7pi/4

200

Solve: 4^(x+3) = 16^(5x)

x=1/3

300

e^x + 5 = 66

x = 4.111

400

Solve: log base2 of (x+3) = 5

x=29

500

Solve on [0, 2pi): 2sin^2 x - 3sin x +1 =0

x = pi/6, 5pi/6, pi/2

Random

100

What has to be broken before you can use it?

An egg.

200

I’m tall when I’m young, and I’m short when I’m old. What am I?

A candle.

300

What month of the year has 28 days?

Every month has at least 28 days.

400

What is full of holes but still holds water?

A sponge.

500

Why did the grandma cross the road?

Peanut butter jelly.