Theory:

So far, in algebra, we have learnt about coefficients, constants, variables and expressions.
 
Let us recall them.
 
What are variables?
 
Variables is a letter that is used to represent the value of an unknown number. That is, the value of the unknown number does not remain the same.
Example:
\(x\), \(y\), \(a\), \(l\), … etc are variables.
What are constants?
 
A constant is a number whose value does not change (remains the same).
Example:
\(2\), \(1\), \(5\), \(71\), … etc are constants.
What are coefficients?
 
A coefficient is a number which is generally multiplied with a variable.
Example:
\(3x\) where \(3\) is the coefficient of \(x\).
What are algebraic expressions?
 
An algebraic expression is a group of variables, constants and coefficients which are separated by arithmetic operators (plus, minus, multiplication and division).
Example:
\(4x +3y +8\), \(12x^2 - 3xy + 10\) are algebraic expressions.
Framing algebraic expressions:
 
Let us learn how to frame an algebraic expression from the given statement.
 
Let us consider the examples.
 
OperationsStatementAlgebraic expression
AdditionThe sum of \(5\) and \(y\)\(5 + y\)
SubtractionThe number \(8\) is less than \(p\)\(p - 8\)
MultiplicationThe number \(7\) is subtracted from \(5\) times \(x\)\(5x - 7\)
DivisionThe number \(10\) divided by \(l\)\(\frac{10}{l}\)