April 27, 2009
The Fabulous World of Algebra
What is Algebra?
It is an domain of mathematics that use letters instead 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 from working with fractions to factoring binomials all the way to finding the y-intercept. Most people begin to try Algebra by adding, subtracting, reducing and simplifying algebraic expressions. later on, they would move on to more advanced stages of solving algebraic equations using the greatest common factors and converting fractions in to decimals.
Oh no! It’s Exponents, Radicals and Graphing
There are many another advanced topics. First there are powers. A power is the small number placed to the right and slightly above 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 read as, x plus y to the third power. While working with exponents you will often encounter exercises that require you to add, subtract, multiply and divide. If you pick up the basics, you will shortly start 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 power. Radical expressions are denoted by the symbolization “V” and when placed beside number 4, it is read as square root of 4, which is equal to 2. The inverse of “V” symbol is “^” which denotes that the number it refers to is a multiple of the principle number. Therefore, 2^2 which is read as 2 to the 2nd power, equals 4. Equally with exponents, radical expressions can be added, subtracted, multiplied and divided. Radicals can be converted into powers and exponents back into roots. If exponents and radicals aren’t enough, there is always graphing. Start with graphing straight lines and finding 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 Can you find the slope of the line? Once you master graphing lines, a whole world of circles, parabolas and hyperbolas awaits you!
Want Help?
If you are learning algebra and this all seems a little too much, don’t sweat. There are many resources out there that can help you master linear systems of equations, quadratic formulas and polynomials. The custom is to settle for a math tutor, but the modern algebraic software are no different. In fact, they are as good as math tutors. You can also use algebra calculators or algebra solvers. any of these instruments can help you become an algebra guru in no time.