How to Start Understanding Algebra
Thursday, April 22nd, 2010Algebra – what is it?
It is an area of mathematics that use letters in replacement of numbers to derive results for a given situation. It is this abstraction that often scares many and thrills some. Algebra topics range from working with equations to factoring binomials all the way to finding the y-intercept. In nearly all cases, just as in any other mathematics oriented class, students begin 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 many another higher level subjects. To start off with there are powers. An exponent 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 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 . You can work with fractional and negative exponents. If that isn’t enough to make your head spin, then you can move on to radicals. A radical, simply put, 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 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 changed into powers and powers back into radicals. If you find that exponents and radicals don’t really brace your interest, you could move on to 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. Once you master graphing lines, a whole world of circles, parabolas and hyperbolas awaits you!
Need Help?
While you are learning algebra if the terms and concepts seem too much to handle, relax and take a break. There are many resources out there that can help you master fractional systems of equations, quadratic formulas and polynomials. The custom is to settle for a math tutor, but the up-to-date 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 instruments can help you become an algebra expert in no time.