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The algebraic expression is obtained from verbal expression using mathematical operators like addition $+$, subtraction $-$, multiplication $×$, division $÷$ and many such more and variable.

In any expression or equation, the variable is an unknown quantity. It may be any alphabet or any special symbol.

In the expression $4x+1$, the unknown quantity is x. So, the variable in this expression is x. 4 and 1 are constants values.

Consider the provided verbal expression.

The sum of 8 and 2 times a number.

Let the number be x.

The mathematical operators corresponding to times ismultiplication $×$ and to sum is addition $+$.

Express the verbal expression 2 times a number as $2x$.

Now, this obtained expression is added to number 8. The algebraic expression obtained is $8+2x$.

Hence, the algebraic expression is $8+2x$.