| Algebra - the Thinker’s Subject |
| 05.08.09 | |
What is Algebra?
It is an area of mathematics that use alphabetic characters in replacement of numbers to derive results for a given situation. It is this generalization that often scares many and thrills some. Algebra topics extend from working with fractions to factoring binomials all the way to finding the inverse of a matrix. Most individuals start to learn Algebra by adding, subtracting, reducing and simplifying fractions. They then move on to understanding equivalent fractions , finding Least Common Multiples (LCM) and converting fractions to decimals.
Exponents and Radicals and Graphing Oh My!
There are numerous advanced topics. To start off with there are exponents. 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 power and denotes 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 basics, you will shortly get down to working with rational and negative exponents and if you think those are not challenging enough, hopefully complex number will spin your head. A radical, simply put, is the reversing of an power. 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. Moreover, exponents can be added, subtracted, multiplied or divided by radicals. Radicals can be changed into exponents and exponents back into roots. If you find that exponents and roots don’t really brace your interest, you could move on to graphing. Start with graphing straight lines and observing if the line is horizontal or vertical or neither. Does the line have an x-intercept or a y-intercept? Can you find the slope of the line? you master the mathematical art of graphing, you will discover a whole new world filled with parabolas and hyperbolas.
Need Help?
While you are learning algebra if the terms and concepts seem too much to handle, relax and take a break. Did you know that there are many resources out there that can help you master complex systems of inequalities , quadratic formulas and polynomials. Look for math tutors or software programs 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 assist you become an algebra guru in very little time.
