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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.
| Operations | Statement | Algebraic expression |
| Addition | The sum of \(5\) and \(y\) | \(5 + y\) |
| Subtraction | The number \(8\) is less than \(p\) | \(p - 8\) |
| Multiplication | The number \(7\) is subtracted from \(5\) times \(x\) | \(5x - 7\) |
| Division | The number \(10\) divided by \(l\) | \(\frac{10}{l}\) |
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