The term algebraic expression refers to the expressions available in the form of variables. These are the complete set of operations, including addition, multiplication, division, and subtraction. Example 2x + 5 is known as an algebraic expression.
Variable
The term variable consists of the symbols not present in the fixed values.
Example: 2x + 5, in this x is known as the variable.
Constant
The term constant refers to the symbols present with the fixed values.
We can say that all the given numbers are constants.
Example: 2, 3, 6, etc.
Coefficients
The term coefficients refer to the number present with the given variable.
Example: 2x + 5, the variable is x, and its coefficient is 2.
Set of formulas
The algebraic set of expressions includes a different set of formulas. These formulas are discussed here below:
(a + b) ^2 = a^2 + b^2 + 2ab.
(a - b) ^2 = a^2 + b^2 - 2ab.
(a + b) (a - b) = a^2 - b^2.
(x + a) (x + b) = x^2 + x (a + b) + ab.
Different expressions
The algebraic expressions are present in different types. Such as monomial, binomial, polynomial, trinomial, multinomial.
Problem
Can we explain that 12 y / x? Evaluate the answer.
Solution
In this expression, we can see that it does not consist of the non-zero term. It also consists of the denominator that comes in variables. We can say that 12 y / x is not present in the form of a monomial.
Learning Videos for 7th Grade Math - Algebraic Expressions