Algebra is that branch of mathematics, which includes the study of the expressions containing the variables and the constants. Here we are going to learn about Introduction to Algebra. While talking about Intro to Algebra, we Mean the basic knowledge of the variables and their mathematical Relations with different operators. Algebra Introduction includes the basic study of the use of the operators and how the different values of the variables effect the given equations of algebra.
Definition of AlgebraBack to Top
= y + 4 = 9;
= y + 4 - 4 = 9 – 4;
= > y = 5; so the value of y is 5.
As we know algebra definition focus on several topic one of them is ‘algebraic expression’. To discuss the algebraic expressions, it is necessary to know about expressions and algebra, in the expressions we include one or more symbols, variables and constants but they all have finite value. So, we can say that the algebraic expression is the Combination of the alphabets, numbers, basic arithmetic symbols. It is not necessary that algebraic expressions have basic arithmetic symbols.
Example: - 4s, 8t, s – t, -8u / 6, 4s + 9t
In the above examples s, t, u are the letters or alphabets, 4, 6, 8, 9 are the numbers and -, + are the basics arithmetic symbols or signs. Some part of an algebraic expressions separated by + or - operation are known as terms of the expression. Now we will see the types of Algebraic Expressions. There are three types of algebraic expression which are shown below.
1. If a polynomial containing one non- zero term is known as monomial.
For example: 4x2, 9xyz.
2. If a polynomial containing two non- zero term is known as binomials.
For example: 7 + 9x, 4a + 6b2.
3. If a polynomial containing three non- zero term is known as trinomials. For example: 8 + 7x – 4y, a2 + b3 - 6c.
This is a brief introduction of what is algebra?