Final Exam Jeopardy 🥳🪩

f of x & stuff

100

if f(x)=3x, what is f(4)

12

200

if g(x)=4x-1, what is g(1)

3

300

f(x)=2x²-7, find f(a)

f(a)=2a²-7

400

g(x)=3x²-1, find g(2)

11

500

Find f(h(g(4))) if:

f(x)=3x

g(x)=x²

h(x)=x+1

51

Trig & Angles

100

Sin of 45 degrees is..

√2/2

200

Cos(300)=?

1/2

300

Find 𝜃 if 0° < 𝜃 < 90°. Round to the nearest thousandth of a degree.

tan 𝜃 = 0.578612

30.030°

400

Find 𝜃 if 0° < 𝜃 < 90°. Round to the nearest thousandth of a degree. 

csc 𝜃 = 1.8426

32.880°

500

If cos θ = 4/5 and θ is in Quadrant IV, find the remaining five trigonometric functions of θ.

sinθ= -3/5

tanθ= -3/4

cotθ= -4/3

secθ= 5/4

cscθ= -5/3

Quadratics

100

What's the quadratic formula?

x=-b±√b²-4ac/2a

200

Solve using the quadratic formula:

2x²−3x−5=0

x=-1, 5/2

300

A toy rocket is launched from the ground with an initial velocity. Its height (in meters) after tt seconds is modeled by

h(t)=−5t²+20

Calculate the average rate of change of h(t) between t=1 and t=3

-20 m/s

400

The distance a train travels is modeled by d(t)=50t, where d is in miles and t in hours.

Find the average rate of change of d between t=2 and t=5

50mph

500

The height of a basketball thrown into the air is modeled by
h(t)=−2t²+8t+4
where h is in meters and t in seconds.

Find the average rate of change of height from t=0 to t=2

4 m/s

Exponents

100

Solve for x:

25=5^x

x=2

200

Solve for x:

4^2x=64

x=3/2

300

Solve for x:

5^x+1=125^x-2

x=7/2

400

Solve for x:

3^2x+1=27^x-2

x=7

500

Solve for x:

4^x+1=8^2x-3

x=11/4

Brain Break

100

What is the largest country?

Russia

200

In Shrek, what does Donkey say is like an onion because it has layers?

Ogres

300

What fashion item made a comeback even though everyone swore we’d never go back to it?

Low-rise jeans

400

The iconic “Hollywood” sign originally spelled out what word?

Hollywoodland

500

What is the only bodily organ that cannot get cancer

The heart