Question

What is the difference between an algebraic expression and an equation? Give examples.

Short answer

The difference between algebraic expression and the equation is stated below.

Step-by-step solution

Step 1. Define algebraic expression.

An algebraic expression is a group of word, numbers operators to show the value of something. An expression can by any form.

Example:

$a+3b,x+\frac{3}{4},r+3t$

Step 2. Define equation.

The equation comprises of two parts, one is the expression while the other one is the equality to any number.

Example:

$\begin{array}{l}7x+10=0\\ 5x+10y=12\\ 2+3a=4\end{array}$

Step 3. Check for algebraic expression and equation.

To check whether the given problem is an expression or an equation, check the equality sign. If the problem has equality sign then it is an equation and if there is no equality sign then it is an algebraic expression.

Thus, difference between algebraic expression and the equation is stated above.