Saturday 4 February 2012

Algebraic Expressions

In this section we will talk about the basic algebra1 like operations related to the algebraic expressions. We will learn here about the process for evaluating algebraic expression in the algebraic mathematics. All the algebra in this article will be around the level of grade VI of CBSE math Syllabus.
In the mathematics, pupils learn about some standard fractions, decimals, exponential, and some other algebraic math. We form the algebraic expressions with the help of these algebraic components. In algebra we generally learn about the linear equations, linear function, graphs, positive linear function, factors, greatest common factor (GCF) etc.  In the field of evaluation of algebraic expressions and equations we learn about balancing equation and also about the solution of them.For practicing you can refer number sets algebra 1 worksheets,
In algebra, if we add some thing with some other quantity then they also form an expression. Any of the expressions is the first step to solve an algebraic expression. The algebraic expressions are the way to show any problem in the word form which contains some variables in it and tells the story of the problem in the expression form. It’s not always necessary that an algebraic expression contains an operation in it. An algebraic expression may contains some of the variables, some operations (+, -, x, / ) applied on those variables or some times only variables within it. As per the naming is concerned, the variables are the components of the expressions, the elements whose products form a single term of the algebraic expression, are called as factors and the numerical factors present with the variables are called as the coefficient of the expressions.
A simple example: the algebraic expression 5x + 6y – 8z = xyz. While evaluating algebraic expression, we have four different terms in the expression. 5 is coefficient of the x and in the R.H.S. term x, y, z individually are the factors of that term.If you want more information on algebra, click here.
The elements whose product forms a term of an algebraic expression are called the factors of that term.  The numerical factor of a term containing a variable is called the coefficient of the term.
The evaluation of algebraic expressions includes the formation of simple algebraic expressions with the help of some data. For example, while evaluating algebraic expressions we write an algebraic equation. Let n be any number then we can write expressions of several type according to the condition given. For example:
1.      Number “n” is increased by 45 can be written as n + 45;
2.      Number is decreased by 36 as n - 36;
3.      Number is get multiplied by 6 as 6 * n;
In some other form If n = 4 then (- 4) n + n2 = ?
If x = 3, y = 4 and z = 2 then expression 2 x + 3 y + z2 =?.
Similarly we can make a number of algebraic expressions. The expressions are categorized according to the number of terms contained in them into monomials, binomials, and trinomials.
In above content we have discussed about algebraic expressions and if anyone want to know about Proportions then they can refer to Internet and text books for understanding it more precisely. You can also refer Grade 7 blog for further reading on inequalities

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