Question

How do you translate the following statement “ Seven times a number , added to the sum of the number and six “ into an algebraic expression ?

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 ‘ Minus ‘ 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 ’ . Then Split the statement into two parts to solve the question: first part = Seven times a number , added” and second part =”Sum of a number and one”. And frame these parts as per the sequence and operation applied in the question given .

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 it's saying that something number x in the form of variable taken here as per question. Here sum of a number then means addition with the number $x$ and six.
So we are replacing the “sum of the number and six “ line from the sentence with the addition symbol
(x+6)
replacing the sum of a number with an additional $' + '$ symbol and writing ‘ 6 ’ as it is.
$ = x + 6$
Another part of the question says “Seven times a number , added” . Here the term ‘ Times ’ means multiplication which can be represented as –
$ = 7 \times x = 7x$
And then a question arises , To which number $7x$ should be added to , so we have to perform Addition of two numbers first number is $x + 6$which we have expressed mathematically already . We can represent the this mathematically as –
 $7x + (x + 6)$

So , now our question has become perfect to say that ” the quotient of 3 minus a number and 6 “. It can also be written as.
$7x + (x + 6)$.

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 .