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Mathematics Exam #1 - Algebra Mystery Cache

Hidden : 2/6/2009
Difficulty:
2 out of 5
Terrain:
1.5 out of 5

Size: Size:   micro (micro)

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Geocache Description:

This is the first in a series of mathematics exam puzzle caches.

Everybody loves a good mathematics exam! Here's your chance to show your proficiency at algebra. Have fun and good luck!

The cache is NOT located at the listed coordinates. It can be found at:   N 39° 18.(A+3)(B+4)(C-1)   W 084° 07.(D+5)(E+4)(F+3)
The values for A, B, C, D, E, and F may be found by figuring out the answers to the following algebra problems.

Solve the following linear equation. The solution will be used for A.

          

Solve the following quadratic equation. The number of real number solutions to this equation will be used for B.

          

Solve the following system of linear equations. The x-value of the solution will be used for C, and the y-value of the solution will be used for E.

          

Solve the following rational equation. The solution will be used for D.

          

Expand the following algebraic product. The coefficient of x-squared will be used for F.

          


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

Additional Hints (Decrypt)

[cache] glcvpny uvqr

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)