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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 \(l\) | \(\frac{10}{l}\) |