Your Algebra Homework Can Now Be Easier Than Ever!

Problems of the Month

Problem A. A rational number is a real number which can be ex pressed
as a fraction m/n where both m and n are integers (i.e., 0, ±1, ±2, ±3, . . .)
with n ≠ 0. As sume that x and y are both rational numbers, x^2 + y^2 = 1,
and (x, y) ≠ (0, 1). Prove that there is exactly one rational number r, such

Problem B. In an ordinary game of tennis (not a “tie breaker” game)
with two players , the first player to win 4 or more points wins the game, if that
player is ahead by at least two points . Thus, if each player has won 3 points,
play continues until one of the players is two points ahead. Suppose that
Player #1 wins any given point against Player #2 with a fixed probability p
(0 ≤ p ≤ 1). What is the probability f(p) (a function of p) that Player #1
wins a given game against Player #2? Show the derivation of your answer
instead of just stating it. As a test of your answer for f(p), it can simplified
to the form polynomial of degree 7 divided by a polynomial of degree 2.


The fol lowing rules may be changed or clarified from month to month.

1. Any “regular” undergraduate currently enrolled at UH Manoa is eligible to compete.

2. Write a complete solution with all details to either problem or both.

3. Submit your solution(s) electronically before the end of the above
month to .For the subject line of your email use “problem of the month” and send
your email via your UH email address. Either write your solution within the
body of your email or within attachment(s) in the form of readable pdf files or
images of your work in jpg format (e.g., scanned or digitally photo graphed ).

4. Solutions will be judged by a committee of professors according to a
combination of criteria: accuracy, attention to details, chronological order of
submission, and neatness, but not necessarily in that order.

5. Before the end of the 10-th day of the month that follows, the winner(s)
will be announced on the Math Department web site. Moreover, if there
is at least one good answer to a problem the winner(s) for that problem
will collectively receive a total of least $20 to be distributed among them
depending on the criteria in 4 above, as soon as the checks can be extracted
from the Hanf Fund at the UH Foundation, a process that may take several

Prev Next

Start solving your Algebra Problems in next 5 minutes!

Algebra Helper
Download (and optional CD)

Only $39.99

Click to Buy Now:

OR is an authorized reseller
of goods provided by Sofmath

Attention: We are currently running a special promotional offer for visitors -- if you order Algebra Helper by midnight of March 18th you will pay only $39.99 instead of our regular price of $74.99 -- this is $35 in savings ! In order to take advantage of this offer, you need to order by clicking on one of the buttons on the left, not through our regular order page.

If you order now you will also receive 30 minute live session from for a 1$!

You Will Learn Algebra Better - Guaranteed!

Just take a look how incredibly simple Algebra Helper is:

Step 1 : Enter your homework problem in an easy WYSIWYG (What you see is what you get) algebra editor:

Step 2 : Let Algebra Helper solve it:

Step 3 : Ask for an explanation for the steps you don't understand:

Algebra Helper can solve problems in all the following areas:

  • simplification of algebraic expressions (operations with polynomials (simplifying, degree, synthetic division...), exponential expressions, fractions and roots (radicals), absolute values)
  • factoring and expanding expressions
  • finding LCM and GCF
  • (simplifying, rationalizing complex denominators...)
  • solving linear, quadratic and many other equations and inequalities (including basic logarithmic and exponential equations)
  • solving a system of two and three linear equations (including Cramer's rule)
  • graphing curves (lines, parabolas, hyperbolas, circles, ellipses, equation and inequality solutions)
  • graphing general functions
  • operations with functions (composition, inverse, range, domain...)
  • simplifying logarithms
  • basic geometry and trigonometry (similarity, calculating trig functions, right triangle...)
  • arithmetic and other pre-algebra topics (ratios, proportions, measurements...)


Algebra Helper
Download (and optional CD)

Only $39.99

Click to Buy Now:

OR is an authorized reseller
of goods provided by Sofmath
Check out our demo!
"It really helped me with my homework.  I was stuck on some problems and your software walked me step by step through the process..."
C. Sievert, KY
19179 Blanco #105-234
San Antonio, TX 78258
Phone: (512) 788-5675
Fax: (512) 519-1805

Home   : :   Features   : :   Demo   : :   FAQ   : :   Order

Copyright © 2004-2018, Algebra-Answer.Com.  All rights reserved.