Your Algebra Homework Can Now Be Easier Than Ever!

Math Review

These two pages are a very brief summary of some of the topics from basic mathematics that you should
already be familiar with from your prerequisite math and programming courses. Working knowledge of these
topics will serve you well in this class. Don’t just memorize these facts; be prepared to apply them.

1 Associative, Commutative, and Distributive Laws

• Associativity: , where can be addition or multiplication over integers.

• Commutativity: , where can be addition or multiplication over integers.

• Distributivity: Given operators and over a set S, we say that is distributive over if
and . (That is, is both left–distributive and
right–distributive over .)

2 Fractions

3 The Modulo Operator

Commonly , the modulo operator (%) gives the remainder of an integer division.

• More generally: Values b and r are said to be congruent modulo m (written b ≡ r(modm)) if the result
of (b − r)/m is an integer. b is called the base, r is the residue or remainder, and m is the modulus.

• A related operator: We say that x divides y (written x | y) if y%x = 0.

4 Exponents and Logarithms

5 Factoring Quadratics

A quadratic polynomial has the form ax2 + bx + c, where a, b, and c are numbers (usually integers).

When a = 1 : (x + d)(x + e) = x2 + (d + e)x + de

When a ≠ 1 : (fx + d)(gx + e) = (fg)x2 + (dg + fe)x + de

6 The Quadratic Formula

We use the quadratic formula to find a solution to a quadratic equation , not to factor the corresponding
quadratic polynomial.

Assuming that a ≠ 0, the solutions (a.k.a. x-intercepts, a.k.a. roots ) of ax2 + bx + c = 0 are:

7 Laws of Inequalities

• a ≤ b is true when a < b or a = b. Similarly for ≥ and >.

• For any c: if a < b, then a + c < b + c. Similarly for ≤, >, and ≥.

• For any positive c: if a < b. then ac < bc. Similarly for ≤, >, and ≥.

• For any negative c: if a < b. then ac > bc. Similarly for ≤, >, and ≥.

• In the following, you can replace < with > so long as you also replace ≤ with ≥:

If a < b and b < c, then a < c If a ≤ b and b < c, then a < c
If a < b and b ≤ c, then a < c If a ≤ b and b ≤ c, then a ≤ c

8 Summation and Product Notation

• Summation: In ,∑ is the Greek letter (capital) sigma; i is the index of summation, or just index ; a
is the lower limit ; b is the upper limit ; and c is the sequence, usually in terms of the index .
• Product: In , the nomenclature is the same, except that the symbol is the capital letter pi and
the index is called the index of multiplication.

9 Number Systems

• Binary: Base 2, Digits 0,1

• Octal: Base 8, Digits 0-7

Decimal : Base 10, Digits 0-9

• Hexadecimal: Base 16, Digits 0-9 and A-F

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

2Checkout.com is an authorized reseller
of goods provided by Sofmath

Attention: We are currently running a special promotional offer for Algebra-Answer.com visitors -- if you order Algebra Helper by midnight of November 21st 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 tutor.com 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...)

ORDER NOW!

Algebra Helper
Download (and optional CD)

Only $39.99

Click to Buy Now:


OR

2Checkout.com 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
 
 
Sofmath
19179 Blanco #105-234
San Antonio, TX 78258
Phone: (512) 788-5675
Fax: (512) 519-1805
 

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

Copyright © 2004-2024, Algebra-Answer.Com.  All rights reserved.