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Algebra Quiz Mystery Cache

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mwein: The area has undergone changes and the cache is gone. Thanks to everyone who enjoyed it.

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Hidden : 6/4/2007
Difficulty:
2 out of 5
Terrain:
1.5 out of 5

Size: Size:   small (small)

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Geocache Description:

The above coordinates are a good place if you want to go sledding. However, the cache is not there.

To get to the cache you just need to answer each of the following algebra questions:

The North coordinates are 44° AB.CDE

A. Solve for x: 5x + 7 = 22

B. What is the intersection of the following sets: M = {1,3,5,7,9} N = {0,1,2,4}

C. Fred and Emily are 910 miles apart and are planning to meet for the weekend. Fred is a little more excited than Emily about the weekend: He drives at 70 mph; Emily drives at 60 mph. If they both leave at the same time how many hours will elapse until they meet?

D. Find the sum of the following numbers: -7, -6, +3, -5, +8, -2, +9

E. Stella’s Candy Store ordered jellybeans from two different companies at two different prices. Stella plans to combine the two types of jellybeans so that she has a mixture that costs $2.32 per pound. She has 2 pounds of jellybeans that costs $2.80 per pound. How many pounds of jellybeans that cost $2.20 per pound should she use to get the planned price?

The West coordinates are 72° VW.XYZ

V. Solve for x: 3x + 9 – 20x + 24 = -52

W. Find the integral root of the following equation: 2x^2 + x – 10 = 0

X. The hypotenuse of a right isosceles triangle is approximately 12.727922 . What is the length of each leg?

Y. What is the fourth prime number?

Z. What is the length of a side of a cube that has the same volume as a right triangular prism with dimensions 4 by 4 by 8?

There you have it. Go out and find the cache. It has some small swag items as well as an mwein FTF apple.

You can check your answers for this puzzle on Geochecker.com.

Congratulations to all the members of the GSVALTSGC who drove up for getting FTF honors.

Additional Hints (Decrypt)

Yngre vs arrqrq

Decryption Key

A|B|C|D|E|F|G|H|I|J|K|L|M
-------------------------
N|O|P|Q|R|S|T|U|V|W|X|Y|Z

(letter above equals below, and vice versa)