Algebra - what is it?
It is an area of mathematics that use letters instead 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 fractions to factoring binomials all the way to finding the inverse of a matrix. In many cases, just as in any other maths related class, students start off by adding, subtracting 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.
Exponents and Radicals and Graphing Oh My!
There are numerous advanced subjects. First there are powers. An exponent is the little number placed as superscript to 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 powers you will oftentimes come across exercises that require you to add, subtract, multiply and divide. If you pick up the basics, you will soon start working with rational and negative powers and if you think those are not challenging enough, hopefully radicals will spin your head. A radical, simply put, is the undoing of an power. Radical expressions are referred by the symbol “V” and when placed next to number 4, it is read as square root of 4, which is equal to 2. The contrasting exponential equation is 2^2 which is read, 2 to the 2nd power, and equals 4. Equally with exponents, radical expressions can be added, subtracted, multiplied and divided. Radicals can be converted into exponents and powers 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 determining if the line is horizontal or vertical or something else. Does the line have an x-intercept or a y-intercept? Furthermore, try and see if you can find the slope of a line. After you master graphing lines, a whole world of circles, parabolas and hyperbolas awaits you!
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. Look for math tutors or software programs that will walk you through gradual process on how to solve any problem. Know that frustration is not your only friend because any of these instruments can assist you become an algebra guru in very little time.