October 5, 2009
Knowing Algebra Is Useful
What is Algebra?
Algebra is a broad branch of mathematics that uses generalization by replacing letters for numbers. It is this abstraction that often frightens many and quivers some. Algebra topics range from working with inequalities to factoring binomials all the way to finding the inverse of a matrix. In many cases, just as in any other mathematics related class, students start off by adding, subtracting 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 numerous higher level subjects. To start off with there are powers. A power is the small number placed to the right and slightly above a number or algebraic expression. In this example (x + y)3 where the 3 is the power and refers 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 powers you will oftentimes come across exercises that require you to add, subtract, multiply and divide. If you pick up the fundamentals, you will soon start working with rational and negative exponents 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 shown by the symbol “V” and when placed alongside 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. Moreover, powers can be added, subtracted, multiplied or divided by radicals. Radicals can be switched into exponents and exponents back into radicals. If exponents and radicals aren’t enough, there is always graphing. The best way to start with graphing is to draw lines and try to figure out if they are horizontal, 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? After 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. It’s time to look around because there exists a wide array of resources that is able to help you master the subject. 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 help you become an algebra expert in very little time.
