Question

How do you translate “ ten times a number R increased by fifteen “ into a mathematical 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 ‘ increased ‘ 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 ’ and here variable name is already given to us R .

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 R is that it's saying that something number R in the form of variable taken here as per question . So increasing a number by 15 means addition of 15 with the number R .
So we are replacing the “ R increased by fifteen “ line from the sentence with the addition symbol
(R+15)
replacing increasing of a number R with addition $' + '$ symbol and writing ‘ 15 ’ as it is.
$ = R + 15$
Another part of the question says “Ten times a number . . Here the term ‘ Times ’ means multiplication which can be represented as –
$ = 10 \times R = 10R$
Now , we will combine these two parts we have already framed and we can represent the this mathematically as –
 $10R + 15$

So , now our question has become perfect to say that “ ten times a number R increased by fifteen “. It can be written mathematically as -
$10R + 15$.

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 .