01.05 Basic Algebra

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Hello and welcome to this quick overview lesson on a basic algebra. Algebra as you may recall is a branch of math that uses variables to represent numbers and, when the two are combined and certain steps are followed these equations can be used to solve a myriad of problems.



So let’s review some terms. A VARIABLE-  A symbol for a number we do not know yet. AN INDEPENDENT variable -  When graphing, the variable on the X-axis


A DEPENDENT variable- When graphing, the  variable on the Y-axis. A CONSTANT is a number on its own. A TERM is a number, variable or both together. And an EXPRESSION is a group of terms.


One of the snags in algebra is knowing how to properly work with negative numbers (whole numbers are also called integers. So when adding or subtracting negative numbers it might be helpful to think of a number line that includes values before and after zero.  When adding negative numbers, you will be moving to or counting to the left on that number line. When subtracting a negative numbers you will move or count to the right.


It’s also tricky in multiplying and dividing negative numbers but they follow a similar rule. When multiplying or dividing different signs the answer is negative and when multiplying and dividing numbers with the same sign the answer is positive. So let’s look a problem. In this equation we will solve for the variable n. and the answer is n=2….. but how. Let’s first  look together at some steps to follow.



When Solving Linear Algebraic Equations





    1. Remove Parentheses and Combine like terms









    1. Add or Subtract to isolate variable term on one side of the equation









    1. Multiply or Divide  to solve for the variable





If equation contains fractions→multiply  each side of the equation by a common denominatorSo let’s put those steps into action. We will remove the parentheses and distribute the negative through. Next we will subtract 4 from each side in order to isolate n. Last we will divide each side by 4 to isolate n further, and we get a final answer of n+2. Of course we can always plug in 2 and see if it is right.


Here are 2 problems for you to practice. Hit pause and solve and rewind if need be. Answers to follow.   


So did you get X = -19/6 and y = 12.48? I hope so!!!


In review, knowing the difference between a variable, a constant, a term and expression will help (especially with word problems.) There are rules to follow when dealing with negative numbers, steps for successfully solving algebraic equations all of which really just requires a little practice! 


Thank you for review some basic algebra here. Now go out and be your best self today and Happy Nursing!



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