Algebra Explained

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What is Algebra?

Algebra is a large branch of mathematics that uses generalization by exchanging letters for numbers. It is this generalization that often scares many and quivers some. topics of algebra range from working with inequalities to factoring binomials all the way to finding the y-intercept. In most cases, just as in any other maths 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 greatest common factors and converting fractions in to decimals.

Oh no! It’s Exponents, Radicals and Graphing

There are many higher level subjects. Firstly there are exponents. 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 exponent and denotes the power to which that number is raised. The above algebraic expression is read, 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. 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 reversing of an exponent. Radical expressions are referred by the symbolic representation “V” and when placed next to number 4, it is read as square root of 4, which is equal to 2. The opposite 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 switched into powers and powers back into radicals. If powers 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. Does the line have an x-intercept or a y-intercept? Furthermore, try and see if you can find the slope of a line. you master the mathematical art of graphing, you will find out a whole new world filled with parabolas and hyperbolas.

Help is Out There

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 study. Look for math tutors or software packages 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 no time.

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