How to Start Understanding Algebra

Posted at October 17, 2009 by admin

Let’s Explore Algebra

Algebra is a large part of mathematics that uses abstraction by replacing letters for numbers. It is this generalization that often frightens many and shudders some. topics of algebra range from working with equations to factoring binomials all the way to finding the y-intercept. Most individuals begin to try Algebra by adding, subtracting, reducing and simplifying algebraic expressions . They then move on to understanding equivalent fractions, finding Least Common Multiples (LCM) and converting fractions to decimals.

Oh no! It’s Exponents, Radicals and Graphing

There are many higher level themes. To start off with there are powers. A power is the little number placed as superscript to a number or algebraic expression. An example is (x + y)3 where the 3 is the exponent and denotes the power to which that number is exponentiated. The above algebraic expression is expressed as, x plus y to the third power. While working with exponents you will frequently encounter exercises that require you to add, subtract, multiply and divide. If you pick up the fundamentals, 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 reversing of an exponent. Radical expressions are denoted by the symbol “V” 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. Moreover, powers can be added, subtracted, multiplied or divided by radicals. Radicals can be changed into exponents and exponents back into roots. If powers and roots aren’t enough, there is always graphing. The best way to start with graphing is to draw lines and try to work out if they are horizontal, vertical or neither. Another question to ask is whether the line has an x-intercept or a y-intercept Furthermore, try and see if you can find the slope of a line. After you master graphing lines, a whole world of circles, parabolas and hyperbolas awaits you!

Help is Out There

While you are learning algebra if the terms and concepts seem too much to handle, relax and take a break. It’s time to look around because there exists a wide array of resources that is able to help you master the discipline. Look for math tutors or software applications that will walk you through gradual process on how to solve any problem. Know that frustration is not your only friend because any of these tools can help you become an algebra guru in very little time.

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