Do you know about - Elementary Algebra: Variables and Basic Formulas
Elementary! Again, for I know. Ready to share new things that are useful. You and your friends.Once students have a strong foundation in basic mathematics, the next step is to introduce them to algebra. While algebraic concepts are taught as early as kindergarten, actual formulas and introductions to variables are usually saved for grades 6-8. These concepts will follow students through high school, into college and eventually into the workplace. Since many degrees require calculus, which requires a strong understanding of algebra, this topic is one that students can not afford to skip. For younger students, however, it can be hard to understand. Why are letters used along with numbers? What is a variable? Here, I'll briefly go over what these concepts mean and how they can be more easily understood and applied.
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We had a good read. For the benefit of yourself. Be sure to read to the end. I want you to get good knowledge from Elementary.While arithmetic is focused on simple operations using addition, subtraction, multiplication, and division, algebra introduces a few new ideas.
First, that we can introduce an unknown number, usually represented by "x," and still have a math problem that works. For example, if I have three cars in one lot, and four in another, I know that I have seven cars all together. However, what if I'm told that I have seven cars all together, and three in one lot. How many are in the second lot? This is an elementary algebraic formula:
Arithmetic: 3 (cars in lot 1) + 4 (cars in lot 2) = 7 (cars total)
Algebra: 3 (cars in lot 1) + x (cars in lot 2) = 7 (cars total)
So, I would then need to determine what "x" represents. In this case, it's four. We can determine this by affecting the formula equally on both sides. That's easier than it sounds. In our case, we have 3+x=7. Now, let's subtract (-) three from the left side of the equal sign, and the right side.
3+x=7
3-3+x=7-3
Simplify:
0+x=4
Since 0+x=x, our solution is
x=4
Now we know that we could have determined how many cars there are in lot 2 just by knowing our total and how many were in lot 1. We can do this with multiplication and subtraction as well, in just the same way.
Note that when we start doing algebra, we often use a star or a dot (*) instead of an x, since we often use x as our unknown value. If we are simply dealing with a number multiplied by an unknown value (like x) we just put the number next to it (5x=10). We assume that any time two numbers or values are right next to each other they are multiplied together. For division we can use a "/" to represent one value being divided by another (10/2=5).
Let's say that we have twenty cars all together. We know there are four lots, each with the same number of cars in them. In other words, there are four times (multiplied) an unknown number of cars, with a result of twenty.
4 * x = 20
4x=20
Since we are multiplying here, the opposite would be to divide. Let's divide both sides by four (remember that dividing a number by itself equals 1) and see what we get.
4x=20
4x/4 = 20/4
Simplify the left side:
4x/4 = 1x = x
Simplify the right side:
20/4 = 5
So our solution is:
x=5
Easy, right?
This is the basis for simple variable and algebraic equations. Check back for my next article on how to handle a problem when you have more than one variable.
If you're a student or the parent of a student who is having trouble in math, you should considering hiring a tutor. Math tutors are affordable, knowledgeable, and can produce measurable improvements in your students' grades. One on one hands on instruction can't be matched for effectiveness in learning.
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