ALGEBRA
PROBLEM SOLVING & DATA ANALYSIS
ADVANCED MATH
GEOMETRY & TRIG
Spring Break Trivia
100

The price, in dollars, of a visit to the dentist is calculated according to the formula 50+100n, where n is the number of cavities the dentist finds. On Vanessa's last visit, the dentist found 2 cavities. What is the cost, in dollars, of Vanessa's visit? 

What is 250?

100

Elmer has a collection of 300 fossils. Of these, 21% are fossilized snail shells. How many fossilized snail shells does Elmer have? 

What is 63?

100

Evaluate (x2+1) + (2x-1)

What is x2+2x?

100

DRAW -> ABC (as your right angle)

Given a right triangle with the length of AC = 4 and the length of BC = 7. What is the length of AB?

NOTE: To get this answer correct, leave your final answer as a square root.

What is √65?

100

Which ancient civilization celebrated a tradition similar to spring break?

a. Romans
b. Aztecs
c. Greeks
d. All of the above

All of the above!

200

y=2x, 3x+y=20

The given system of equations has solution (x,y). What is the value of x? 

What is 4?

200

4.8, 7.1, 5.5, 4.6

What is the mean value of the data set shown? 


What is 5.5?

200

If f(x)=5x-3, what is the value of f(4)?

What is 17?

200

DRAW -> ACB (as your right angle)

Given a right triangle with the length of AC = 5 and the length of AB = 6. What is the length of BC?

NOTE: To get this answer correct, leave your final answer as a square root.

What is √11?

200

When it's spring in America, what season is it in Australia?

Fall!

300

3(2n-2)-1 = 9/4

Given the equation, what is the value of 2n-2? 

What is 13/12?

300

Elena is conducting a study about the effects of toxin in the water on the hormones of fish. Elena surveys 350 male fish in a river and finds that 150 of the male fish have egg cells growing inside them. According to Elena's survey, what is the ratio of male fish with egg cells to male fish without egg cells in the river? 

NOTE: To get this answer correct, please simplify the ratio. 

What is 3:4? 

300

Evaulate (x-6)(x-1)

What is x2-7x+6?

300

A right pyramid with a square base has a volume of 252 cubic centimeters. The length of one of the sides of its base is 6 centimeters. Rounded to the nearest centimeter, what is the vertical height of the pyramid?

KNOW -> V=1/3bh (volume of right pyramid)

NOTE -> V=1/3s2h (volume if the base of this pyramid is a square)                                        

What is 21?

300

How many Americans are arrested abroad each year during spring break?

a. 500
b. 25000
c. 2500
d. 5000

During spring break each year, over 2,500 American citizens are arrested abroad.

400

-2x+by=59, 5x-y=1

If the system of equations has exactly one solution (x,y) and x=2, what is the value of b? 

What is 7?

400

The highest recorded wind speed not associated with a tornado was recorded at Barrows Island, Australia, in the year 1996. The wind gust of 220 knots (know) toppled the previous record held in Mount Washington. What was the wind speed in miles per hour (mi/hr)? 

NOTE: 1 kn = 1.15 mi/hr

What is 253?

400

2x+26x+84

If 2(x+a)(x+b) is equivalent to the given expression, what is the value of ab? 

What is 42?
400

A regulation FIFA soccer ball is modeled after the Buckyball, a truncated icosahedron that was introduced by Buckminster Fuller. Due to air pressure, the inflated ball assumes the shape of an almost perfect sphere. A regulation soccer ball has a circumference of 70 cm. Which of the following is closest to the volume of the soccer ball in cubic centimeters (cm3)?

NOTE -> radius = 2πr

What is 5,792cm3?

400

What U.S. city is usually considered the birthplace of spring break?

a. Daytona Beach
b. Fort Meyers
c. Fort Lauderdale
d. Cocoa Beach

Spring break as we know began in 1936 when a swimming coach from Colgate University in frigid Upstate New York decided to take his team down to Florida for some early training at a brand-new Olympic-size pool in sunny Fort Lauderdale.

500

2/3x - 4/3y = 8, A(3x-1)=3y

In the system of equations, A is a constant. For which value of A is there exactly one solution (x,y) where y=0? 

What is 0?

500

In the west region of the US, the ratio of densely vegetated land to sparsely vegetated land is 11:18. In the central region of the US, the ratio is 3:1. What is the difference in percentage of densely vegetated land from the west region to the central region? 

What is 37.1%?

to solve: 

know.. percentage = part/total x 100%

after plugging.. 37.9%

then, knowing 75% is central.. 75%-37.9% = 37.1% 

500

x2+3x-a/x-2 = x+5

Given the equation for all x is NOT equal to 2, what is the value of a? 

What is 10?

500

A trough shaped as half of a circular cylinder is being constructed. It is able to hold 0.5 cubic meters (m3) of water. Additionally, its width, w, is 50 centimeters (cm). Approximating π as 3.14, what is the length of the trough, l, to the nearest tenth of a meter?

NOTE -> V= πr2h (but is the question asking for the entire volume of the circular cylinder?)

What is 5.1?

500

In what nation was the tallest Easter egg made? 

a. America
b. Italy
c. Australia
d. Brazil

Italy! 

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