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	<title>The Langerhans Org Blog &#187; Mathematics Portal</title>
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		<title>Algebra Knowledge Is Useful</title>
		<link>http://langerhans.org/archives/2009/10/12/algebra-knowledge-is-useful/</link>
		<comments>http://langerhans.org/archives/2009/10/12/algebra-knowledge-is-useful/#comments</comments>
		<pubDate>Mon, 12 Oct 2009 11:10:44 +0000</pubDate>
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				<category><![CDATA[Education Resources]]></category>
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		<guid isPermaLink="false">http://langerhans.org/archives/2009/10/12/algebra-knowledge-is-useful/</guid>
		<description><![CDATA[What is Algebra?
Algebra is a wide category of mathematics that uses abstraction by exchanging alphabetic characters for numbers. It is this generalization that often frightens many and thrills some.  Algebra topics range by working through simple tasks such as factoring polynomials and eventually progressing on to finding the inverse of a matrix.  Most [...]]]></description>
			<content:encoded><![CDATA[<h2>What is Algebra?</h2>
<p>Algebra is a wide category of mathematics that uses abstraction by exchanging alphabetic characters for numbers. It is this generalization that often frightens many and thrills some.  Algebra topics range by working through simple tasks such as factoring polynomials and eventually progressing on to finding the inverse of a matrix.  Most people start to try Algebra by adding, subtracting, reducing and simplifying fractions.  They then move on to understanding equivalent fractions, finding <b> <a href="http://www.factoring-polynomials.com/finding-least-common-multiples-1.htm">Least Common Multiples</a>  (LCM)</b> and <b>converting fractions to decimals</b>.</p>
<h2>Help!!! Exponents, Radicals and Graphing on the Way&#8230;</h2>
<p>There are numerous higher level subjects.  First there are exponents. A power is the small number placed as superscript to a number or algebraic expression.  An example is (x + y)<sup>3</sup> where the 3 is the exponent and refers the power to which that number is exponentiated. The above algebraic expression is read, x plus y to the third power.  In working with exponents you can add, subtract, multiple or divide them.  If you pick up the basic principles, you will shortly get down to working with rational and negative powers and if you think those are not challenging enough, hopefully radicals will spin your head. A radical, in simple terms, is the undoing of an exponent.  Radical expressions are referred by the symbolic representation &#8220;V&#8221; and when placed beside number 4, it is read as square root of 4, which is equal to 2.  The reverse exponential equation is 2^2  which is read, 2 to the 2nd power, and equals 4.  Moreover, exponents can be added, subtracted, multiplied or divided by radicals. Radicals can be changed into exponents and powers back into radicals.  If you find that exponents and roots don&#8217;t really stimulate your interest, you could move on to graphing.  The best way to start with graphing is to draw lines and try to figure out if they are horizontal, vertical or neither.  Does the line have an <b>x-intercept</b> or a <b>y-intercept</b>?  Furthermore, try and see if you can find the  <a href="http://www.algebra-tutoring.com/">slope of a line</a> . you master the mathematical art of graphing, you will find a whole new world full of parabolas and hyperbolas.</p>
<h2>Help is Out There</h2>
<p>If you are learning algebra and this all seems a little too much, don&#8217;t scratch.  There are many resources out there that can help you master radical systems of equations,  <a href="http://www.www-mathtutor.com/equations-quadratic-in-form.html">quadratic formulas</a>  and polynomials.  Look for math tutors or software applications that will walk you through gradual process on how to solve any problem. You can also use algebra calculators or algebra solvers. any of these instruments can help you become an algebra expert in very little time.</p>
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		<title>Algebra in Your Life</title>
		<link>http://langerhans.org/archives/2009/09/02/algebra-in-your-life/</link>
		<comments>http://langerhans.org/archives/2009/09/02/algebra-in-your-life/#comments</comments>
		<pubDate>Thu, 03 Sep 2009 01:14:09 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[Education Resources]]></category>
		<category><![CDATA[Mathematics Portal]]></category>
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		<guid isPermaLink="false">http://langerhans.org/archives/2009/09/02/algebra-in-your-life/</guid>
		<description><![CDATA[Let&#8217;s Explore Algebra
Algebra is a broad part of mathematics that uses generalization by replacing letters for numbers. This abstraction is the very reason why most individuals find algebra scary and too difficult to handle and it is the same reasons why some pupils find it fun to play around with.  topics of algebra range [...]]]></description>
			<content:encoded><![CDATA[<h2>Let&#8217;s Explore Algebra</h2>
<p>Algebra is a broad part of mathematics that uses generalization by replacing letters for numbers. This abstraction is the very reason why most individuals find algebra scary and too difficult to handle and it is the same reasons why some pupils find it fun to play around with.  topics of algebra range from working with inequalities to <b>factoring binomials</b> all the way to finding the inverse of a matrix.  In many cases, just as in any other mathematics associated class, students start by adding, subtracting and simplifying algebraic expressions.  They then move on to understanding equivalent fractions, finding <b> <a href="http://www.mathsite.org/finding-the-least-common-multiples.html">Least Common Multiples</a>  (LCM)</b> and <b>converting fractions to decimals</b>.</p>
<h2>Oh no! It&#8217;s Exponents, Radicals and Graphing</h2>
<p>There are many higher level themes.  First there are exponents. An exponent is the small number placed as superscript to a number or algebraic expression.  An example is (x + y)<sup>3</sup> where the 3 is the power and refers the power to which that number is exponentiated. The above algebraic expression is read as, x plus y to the third power.  While working with powers you will oftentimes come across exercises that require you to add, subtract, multiply and divide.  You can work with <b>fractional and negative exponents</b>.  If that isn&#8217;t enough to make your head spin, then you can move on to radicals. A radical, simply put, is the undoing of an exponent.  Radical expressions are referred by the symbolic representation &#8220;V&#8221; and when placed alongside number 4, it is read as square root of 4, which is equal to 2.  The opposite exponential equation is 2^2  which is read, 2 to the 2nd power, and equals 4.  As with exponents, radical expressions can be added, subtracted, multiplied and divided. Radicals can be converted into powers and powers back into radicals.  If powers and radicals aren&#8217;t enough, there is always graphing.  The best way to start with  <a href="http://www.mathscitutor.com/graphing-horizontal-and-vertical-lines.html">graphing is to draw lines</a>  and try to work out if they are horizontal, vertical or neither.  Does the line have an <b>x-intercept</b> or a <b>y-intercept</b>?  Can you find the slope of the line? After you master graphing lines, a whole world of circles, parabolas and hyperbolas awaits you!</p>
<h2>Help is Available</h2>
<p>If you are learning algebra and this all seems a little too much, don&#8217;t sweat.  There are many resources out there that can help you master radical systems of equations,  <a href="http://www.algebra-tutoring.com/equations-quadratic-form-1.htm">quadratic formulas</a>  and polynomials.  Look for math tutors or software programs that will walk you through stepwise process on how to solve any problem. Know that frustration is not your only friend because any of these instruments can assist you become an algebra guru in no time.</p>
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		<title>Algebra Is OK</title>
		<link>http://langerhans.org/archives/2009/07/16/algebra-is-ok/</link>
		<comments>http://langerhans.org/archives/2009/07/16/algebra-is-ok/#comments</comments>
		<pubDate>Thu, 16 Jul 2009 18:37:19 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[Education Resources]]></category>
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		<guid isPermaLink="false">http://langerhans.org/archives/2009/07/16/algebra-is-ok/</guid>
		<description><![CDATA[Mathematics has many branches and algebra is one of the most stressed arms which studies structure, relation and quantity. Numbers, symbols, elements, and variables are all within the domain of algebra. Students are introduced fundamental constructs and methodologies of  resolving equations in elementary  algebra like solving radical equations, understanding polynomials along with factoring [...]]]></description>
			<content:encoded><![CDATA[<p>Mathematics has many branches and algebra is one of the most stressed arms which studies structure, relation and quantity. Numbers, symbols, elements, and variables are all within the domain of algebra. Students are introduced fundamental constructs and methodologies of  <a href="http://www.mathsite.org/solving-systems-of-linear-equations-in-three-variables.html">resolving equations in elementary</a>  algebra like solving <b>radical equations</b>, <b>understanding polynomials</b> along with <b>factoring binomials</b>, trinomials and polynomials as well as the determination of their roots.<br />
Many beginners in algebra prefer  <a href="http://www.equation-solver.com/linear-equations-2.htm">linear equations</a>  as they are the simplest to resolve. An extension of linear equations leads to the <b>simultaneous equations</b> with two or three variables. As we advance further in the sequence to quadratic, bi-quadratic and cubic equations, they grow more and more complicated to resolve. </p>
<h2>The Origin of Algebra</h2>
<p>Elementary algebra institutes the intermediate or college algebra. In addition to mathematical expressions, it also contains of all forms of equations like linear, quadratic and cubic. All geometric figures such as circle, hyperbola, and parabola can be represented as equations.<br />
These equations can be resolved for different combinations by producing a graph. Lines are the product of graphing simple linear equations. Systems of equations can too be resolved graphically which is sometimes better. Two or more equations with the same number of variables are usually known as a system of equations. They can be both linear and non-linear. Systems of equations with inequalities (example; x>y) when graphed gives an area on the graph which matches the inequality condition.</p>
<p><b>Matrices</b> help solve a plenty of complex problems like the ones present in electrical networks. A matrix is a rectangular array of numbers  organized in rows and columns.  The numbers in a matrix are known as entries. Several functions like addition, multiplication and decomposition can be performed on matrices thereby providing practical solutions for theoretical questions. </p>
<h2>How to Find Aid for Algebra?</h2>
<p>Algebra builds the backbone of many different applications of maths, science and engineering. Once computer engineering got in to the world of algebra, it has taken algebra to a new dimension by help  <a href="http://www.algebra-help.org/solving-equations-1.html">resolving century old problems</a>  within a matter of few hours. Although algebra appears complex, the reality is somewhat different. There is a plenty of help and tutorials available to help you excel the world of algebra.<br />
Internet resources like <b>algebra solver</b> are interactive, present algebra lesson and aid you resolve your homework problems. If you have not followed something in your algebra class or find that you have missed an significant mathematical concept, web tutors can offer you that additional assistance. Algebra calculators lead you through your homework with a stepwise calculations and explanations. You can improve your knowledge with the aid of the interactive tools. You can also test your knowledge at the end of a lesson by taking the test. </p>
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		<title>Knowing Algebra Is Useful</title>
		<link>http://langerhans.org/archives/2009/06/02/knowing-algebra-is-useful/</link>
		<comments>http://langerhans.org/archives/2009/06/02/knowing-algebra-is-useful/#comments</comments>
		<pubDate>Tue, 02 Jun 2009 22:29:17 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[Education Resources]]></category>
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		<guid isPermaLink="false">http://langerhans.org/archives/2009/06/02/knowing-algebra-is-useful/</guid>
		<description><![CDATA[Algebra is one of the most primary courses students learn during their  life. There are a lot of students who are doing algebra because they have troubles being able to learn the subject area.  
A lot of individuals are not even genuinely sure what is involved in algebra but it is not scary [...]]]></description>
			<content:encoded><![CDATA[<p>Algebra is one of the most primary courses students learn during their  life. There are a lot of students who are doing algebra because they have troubles being able to learn the subject area.  </p>
<p>A lot of individuals are not even genuinely sure what is involved in algebra but it is not scary as a lot of individuals think. Most base algebra include finding  <a href="http://www.mathscitutor.com/finding-the-least-common-denominator-of-rational-expressions.html">least common</a>  multiple, factoring difference of cubes and reducing fractions. </p>
<p>When pupils are studying maths, particularly at college level it is very important for them to employ some preparation and also some continuity in learning mathematical constructs progressively. There are a lot of college mathematics courses at first stage that are based around building a sound path for the route into advanced mathematics as they enable learning the fundamental skills that are required. </p>
<h2>Who can Help?</h2>
<p>There are various software packages that can be used to help you with algebra and these include systems such as algebra tutors. A tutor for algebra is also a surefire way to raising your algebra skills. The software systems are very good and will aid you with all aspects of algebra including  <a href="http://www.gre-test-prep.com/">rational inequalities</a> ,  <a href="http://www.softmath-algebrator.com/graphing-quadratic-equations.html">graphing quadratic equations</a> , subtracting  fractions with same denominators and on master the basic and advanced topics of algebra.</p>
<p>If you are just beginning in the world of mathematics, it is a good idea to do one of the introductory level courses as they will instruct you the very basic principles and build on that so that you are able to get up to the more higher level of mathematics. The starting topics of algebra teach the pupils the right approach through the use of a significant number of different exercises and methods so this is  a good starting point for the beginner to algebra.</p>
<h2>Why Virtual Tutors are Not Ideal?</h2>
<p>The only problem with mathematics courses of study is that they sometimes do not follow things in a very logical order and this especially is the case when you are a student at primary school. A lot of the pupils at school are actually very ill-prepared for learning algebra and they do not really have no background knowledge in it.</p>
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		<title>Algebra in Our Lives</title>
		<link>http://langerhans.org/archives/2009/04/13/algebra-in-our-lives/</link>
		<comments>http://langerhans.org/archives/2009/04/13/algebra-in-our-lives/#comments</comments>
		<pubDate>Tue, 14 Apr 2009 01:44:07 +0000</pubDate>
		<dc:creator>admin</dc:creator>
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		<guid isPermaLink="false">http://langerhans.org/archives/2009/04/13/algebra-in-our-lives/</guid>
		<description><![CDATA[What Does It Mean By Algebra?
Mathematics has long been one of the most scary subjects in American classrooms. Although pupils in other countries graduate with excellence in maths, many of the common high school age pupils in the United States scratch their heads when presented with questions about converting fractions to decimals, converting measures and [...]]]></description>
			<content:encoded><![CDATA[<h2>What Does It Mean By Algebra?</h2>
<p>Mathematics has long been one of the most scary subjects in American classrooms. Although pupils in other countries graduate with excellence in maths, many of the common high school age pupils in the United States scratch their heads when presented with questions about <b>converting fractions to decimals</b>, converting measures and units, <b>resolving radical inequalities</b>, or <b>solving radical equations</b>. It makes sense that this predicament is as universal as it is. Algebra comprises of different complicated mathematical equations that it is easy for a student to get lost when expected to explain synthetic division or  <a href="http://www.algebra1help.com/adding-and-subtracting-rational-expressions-with-different-denominators.html">adding radicals</a> . For that matter, letters are heavily used for replacing the numbers when it comes to algebra. While this isn&#8217;t highly complex in and of itself, it lends itself poorly to the &#8216;jump in and play&#8217; aspect of some math. Simply talking, if a individual is supposed to  <a href="http://www.mathscitutor.com/simplified-form-of-a-square-root.html">perform a particular algebraic</a>  task, he or she should be aware of the algebraic tasks that led to it. This is to say that Algebra is a procedure that takes mastery of every step in order to move on. A student can&#8217;t hope for finding square root radicals and roots when he or she has not learned proportions and ratios, or converting measures and units.</p>
<h2>Technological Breakthroughs:</h2>
<p>Although this is nothing new, it seems that math grades have slipped even further in recent years. The fault can be ascribed to many parties, but no solution will come out as a result of blame game. Recently, there have been extracurricular assists on the market to help pupils enhance mathematical skills when out of the classroom. What little computer software or program there was, more geared towards assisting younger children grasp the constructs of arithmetic. Luckily, the market for such a product has coincided with the technology essential, permitting an inflow of &#8216;<b>algebra software program</b>&#8216; or &#8216;<b>algebra solver</b>&#8216; programs that allow the mastery of algebra to anyone who is equipped with standard computer knowledge.</p>
<h2>Algebra Solvers:</h2>
<p>There are various <b>algebra calculators</b> available and they vary depending on for what they have been produced for. Some may offer some features as graphing a circle, or <b>solving simultaneous equations</b>, but may not have the programming needed for resolving exponential equations or adding exponents. The users are suggested to evaluate the <b>algebra computer software</b> upon purchase, but many algebra solver computer software packages will advertise their strengths. The best bet for anybody who is interested in computer help for  <a href="http://www.polymathlove.com/dividing-and-subtracting-rational-expressions.html">subtracting rational expressions</a>  or converting decimals to fractions; basically, whatever specific need you would have, is to search on the Net for the product which the user is interested in purchasing.</p>
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		<title>Credit Repair&#8230; Can I Do It Myself?</title>
		<link>http://langerhans.org/archives/2008/05/27/credit-repair-can-i-do-it-myself/</link>
		<comments>http://langerhans.org/archives/2008/05/27/credit-repair-can-i-do-it-myself/#comments</comments>
		<pubDate>Tue, 27 May 2008 06:19:41 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[Mathematics Portal]]></category>

		<guid isPermaLink="false">http://langerhans.org/archives/2008/05/27/credit-repair-can-i-do-it-myself/</guid>
		<description><![CDATA[I&#8217;m sure you have seen them everywhere. Little ads promising perfect credit in 30 or 60 days. They all claim to have the hidden secrets of credit repair that have never been revealed.
They make it seem as though your credit repair efforts will fail if you don&#8217;t send them the price of their credit repair [...]]]></description>
			<content:encoded><![CDATA[<p>I&#8217;m sure you have seen them everywhere. Little ads promising perfect credit in 30 or 60 days. They all claim to have the hidden secrets of credit repair that have never been revealed.</p>
<p>They make it seem as though your credit repair efforts will fail if you don&#8217;t send them the price of their credit repair kit.</p>
<p>Do you need any of these products to repair your credit? Absolutely not.</p>
<p>Can any of these products help you get your credit repaired quicker and more efficiently? Probably not.</p>
<p>Do they really have any &#8220;secrets&#8221; that can&#8217;t be learned in 100 other places on the web for free? No.</p>
<p>The fact is, credit repair is for the most part a solo journey. Not only can you do it yourself, but you are practically forced to unless you are prepared to waste hundreds or thousands of dollars.</p>
<p>The good news is that you can succeed in that journey and everything you need to know is available for free on the internet.</p>
<p>So what about all those products you see? They do have a use if you have the money. They will usually provide a lot of useful information in one place. It could take you weeks to find everything in a well written credit repair guide.</p>
<p>The internet credit repair guides also offer a roadmap to follow. They can answer a lot of questions quickly for those who are new to credit repair and ensure they get off to a good start.</p>
<p>Credit repair is something that you can and should do for yourself. The most important thing to remember is that you must learn everything about repairing a credit file in order to complete your repair process.</p>
<div style="float: right; padding: 0px; margin: 0px; border-width: 1px 1px 1px 1px; border-style: solid; border-color: white; background-color: white"></div>
<p>Darell is a credit repair expert by neccessity and went from terrible and accurate credit to a mortgage in less than a year. Now he is trying to help others do the same.  Visit his free website at <a href="http://www.rylansreviews.com/credit" rel="nofollow">http://www.rylansreviews.com/credit</a></p>
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		<title>5 Tips for Choosing the Best Airline Credit Card for You</title>
		<link>http://langerhans.org/archives/2008/05/25/5-tips-for-choosing-the-best-airline-credit-card-for-you/</link>
		<comments>http://langerhans.org/archives/2008/05/25/5-tips-for-choosing-the-best-airline-credit-card-for-you/#comments</comments>
		<pubDate>Mon, 26 May 2008 00:45:00 +0000</pubDate>
		<dc:creator>admin</dc:creator>
				<category><![CDATA[Mathematics Portal]]></category>

		<guid isPermaLink="false">http://langerhans.org/archives/2008/05/25/5-tips-for-choosing-the-best-airline-credit-card-for-you/</guid>
		<description><![CDATA[If you need to fly for your work or for your personal life, an airline credit card can reap great rewards for the way that you travel.  With these tips, you&#8217;re sure to pick an airline credit card that will work for you.
1. Who&#8217;s sponsoring it?
While most retailers accept nearly every credit card today, [...]]]></description>
			<content:encoded><![CDATA[<p>If you need to fly for your work or for your personal life, an airline credit card can reap great rewards for the way that you travel.  With these tips, you&#8217;re sure to pick an airline credit card that will work for you.</p>
<p>1. Who&#8217;s sponsoring it?</p>
<p>While most retailers accept nearly every credit card today, you will want to be sure that the retailers that you frequent will take the card that you choose.  In order to increase the levels of frequent flyer miles that you have, you need to make purchases, so you need to be able to make these purchases without trouble.</p>
<p>2. Can you do balance transfers?</p>
<p>In many cases, an airline credit card company will even allow you to do a balance transfer at a lowered interest rate.  Though this might sound like shifting balances, it can help to increase the frequent flyer miles on the card.  Check the card to see if you can consolidate your debts and get frequent flyer miles at the same time.</p>
<p>3. What are the restrictions?</p>
<p>When you&#8217;re looking for a new airline credit card, you want to find out what kinds of blackout dates there are for redeeming your frequent flyer miles.  If the policy restricts times when you want to redeem your miles, then you might not be choosing the right airline credit card for you.</p>
<p>4. Are there extras that you can expect?</p>
<p>You will also want to look at the various airline credit card companies to see what kinds of travel extras they offer.  Many cards will give travelers discounts on car rentals and offer travel insurance on purchases made with the card.  You might also find that you can get emergency cash from the airline credit card when you&#8217;re traveling or roadside assistance should your vehicle encounter an accident or pothole.</p>
<p>5. And what are the fees?</p>
<p>The main concern of many potential airline credit cardholders is that the annual fee that they pay is not relative to the rewards that they can expect.  In order to be certain that you are getting a airline credit card that works with you, check to see what the annual fee is for a number of cards and then narrow the choices into moderate fees.  When you have this group of airline credit card companies, see what the rewards are and make a decision from there.</p>
<p>An airline credit card can make sure that you get where you want to go, but only I<br />
 f you take the time to research the fine print.</p>
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<p>Beth Derkowitz recommends Find Credit Cards for finding the best airline credit card for you.</p>
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