In the previous post we have discussed about Subtraction of Fractions Calculator and In today's session we are going to discuss about Variables and Expressions Examples. When we study about the Algebra, the basic units of algebra are the constants and the variables. The equations are basically formed by the combination of Variables And Expressions. Different terms, which we observe are combined with the help of the mathematical operators + and -.
To study about Variables And Expressions Examples, let us look at the following statement:
If two times of any number is added to 4, the result is 16.
In order to solve the given statement, we start as follows. Let us consider the variable x as the unknown number. Now when we talk about the two times of the unknown number, it simply means that the variable x is multiplied by the number 2.
Further we have that a number 4 is added to it, so the two terms will be 2x and 4, which we will be adding by the operator +. Thus the equation so formed by the statement will be as follows :
2x + 4 = 16
Here we have the expression 2x + 4, where the terms of the equation are 2x and 4.
The value of x will be calculated by solving the given equation. Thus we will get :
2x + 4 = 16
We will take 4 to another side of the equation and it will change from + 4 to – 4. So we get the equation as :
2x = 16 – 4
Or 2x= 12
Now we observe that the left side of the equation is 2 * x, so we will take 2 to another side of the equation by replacing the multiplication with the relation of division. Thus we get :
X = 12 / 2
Or we write x = 6 is the solution for the given equation.
There are different Properties Of Real Numbers like closure property, associative property, Commutative Property, Identity Property etc. Icse Sample Papers 2013 are also available online.
To study about Variables And Expressions Examples, let us look at the following statement:
If two times of any number is added to 4, the result is 16.
In order to solve the given statement, we start as follows. Let us consider the variable x as the unknown number. Now when we talk about the two times of the unknown number, it simply means that the variable x is multiplied by the number 2.
Further we have that a number 4 is added to it, so the two terms will be 2x and 4, which we will be adding by the operator +. Thus the equation so formed by the statement will be as follows :
2x + 4 = 16
Here we have the expression 2x + 4, where the terms of the equation are 2x and 4.
The value of x will be calculated by solving the given equation. Thus we will get :
2x + 4 = 16
We will take 4 to another side of the equation and it will change from + 4 to – 4. So we get the equation as :
2x = 16 – 4
Or 2x= 12
Now we observe that the left side of the equation is 2 * x, so we will take 2 to another side of the equation by replacing the multiplication with the relation of division. Thus we get :
X = 12 / 2
Or we write x = 6 is the solution for the given equation.
There are different Properties Of Real Numbers like closure property, associative property, Commutative Property, Identity Property etc. Icse Sample Papers 2013 are also available online.
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