Overcoming Algebra
September 12th, 2009Algebra - what is it?
It is an domain of mathematics that use letter of the alphabets in place of numbers to derive results for a given situation. This abstraction is the very reason why most people find algebra scary and too difficult to handle and it is the same reasons why some students find it fun to play around with. Algebra topics range by working through simple tasks such as factoring trinomials and eventually progressing on to finding the inverse of a matrix. In most cases, just as in any other mathematics related class, students start by adding, subtracting and simplifying algebraic expressions. later on, they would move on to more advanced stages of solving algebraic equations using the least common multiples and converting fractions in to decimals.
Exponents and Radicals and Graphing Oh My!
There are numerous higher level themes. First there are powers. A power is the tiny number placed as superscript to a number or algebraic expression. An example is (x + y)3 where the 3 is the exponent 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 often encounter exercises that require you to add, subtract, multiply and divide. You can work with rational and negative exponents. If that isn’t enough to make your head spin, then you can move on to radicals. A radical, in simple terms, is the undoing of an exponent. The V beside 4 denote a radical expression which means, the square root of 4, which equals 2. The reverse 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 changed into exponents and exponents back into radicals. If you find that powers and roots don’t really perk up your interest, you could move on to graphing. Start with graphing straight lines and deciding if the line is horizontal or 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. you master the mathematical art of graphing, you will notice a whole new world full of parabolas and hyperbolas.
Help is Available
If you are learning algebra and this all seems a little too much, don’t scratch. It’s time to look around because there exists a wide array of resources that is able to help you master the theme. The tradition is to decide on a math tutor, but the latest algebraic software are no different. In fact, they are as good as math tutors. 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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