Question

How do you translate "the quotient of 3 minus a number and 6" 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 ‘ Quotient ’ is used which refers to the operation of division and ‘ Minus ‘ is a term which we generally use in the place of the subtraction . 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 that number ‘ $x$ ‘ i.e. variable $x$ is that it's saying that something number x in the form of variable taken here as per question . So here 3 minus a number than means subtraction with the number 3 and $x$.
So we are replacing the 3 minus a number line from the sentence with the subtraction symbol (-) represented as –
 $3 - x$
And then a question arises , what to do with this number so we have to perform a Quotient that is division of two numbers first number is $3 - x$ which we have expressed mathematically already and the second number is given in the question that is 6 . We can represent the this mathematically as –
$3 - x \div 6$

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 $\dfrac{{3 - x}}{6}$.

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 .