Question

How do you translate into a mathematical expression : Twice the sum of eight more than a number ?

Answer 1

Hint: In order to determine the mathematical expression from the above statement , first we have to understand the statement carefully . Split the statement and take out the terms used and find the meaning . . Like in the given question , the term ‘ More than a number and sum ‘ is a term which we generally use in the place of the addition . A ‘ Number ‘ term is used for defining an operand , to which we simply call it ‘ variable ’ .

Complete step by step answer:
In order to write any mathematical expression from some words and figures , we must first find the relationship and the quantities specified .
Here in this question the relation between a number let suppose $x$ is that its saying that something number $x$ in the form of variable taken here as per question . So here ‘ sum of eight more than a number ‘ means addition of 8 with the number $x$ .
So we are replacing the “ sum of eight more than a number “ line from the sentence with the addition symbol
(x+8)
replacing ‘ more than a number ’ $x$ with addition $' + '$ symbol and writing ‘ 8 ’ as it is.
$ = x + 8$
Another part of the question says “Twice the sum” . Here the term ‘ Twice’ means two times and ’ times ’ means multiplication , we will combine the sum part we have already framed and we can represent this mathematically as –
which can be represented as –
$ = 2(x + 8)$
So , now our question has become perfect to say that “ Twice the sum of eight more than a number “. It can be written mathematically as -
$\begin{gathered}
   = 2(x + 8) \\
   = 2x + 16 \\
\end{gathered} $.

Note: 1.Mathematical equation : A Mathematical equation can be defined as the mathematical statement which contains an equal symbol $ = $ in between two algebraic expressions that share the same value .
A algebraic expression can contain any number of variables generally we take 2-3 variables
Let assume a expression
$5x + 9 = 24$
It is a mathematical equation having LHS (Left-Hand-Side) equal to RHS (Right-Hand-Side)
Where $x$ is the variable .
5 is the coefficient of variable $x$.
And $24,9$ are the constants .