Question

How do you write the equation for “one more than three times a number is $7$”?

Answer 1

Hint: In this problem we need to write the equation or mathematical representation for the given statement. First, we will assume a number $x$ and apply the given statement to this variable. In the given statement we can observe the term three times. First, we will represent this term mathematically by using the multiplication symbol. Now we have the term ‘one more than’ so we will add one to the above obtained value. Finally, we can observe that the result is $7$. So, we will equate the obtained value to $7$ to get the required result.

Complete step by step answer:
Given the statement “one more than three times a number is $7$”.
Let us assume a number or variable $x$ and apply the above given statement to this variable.
Considering the term “three times” in the given statement. The mathematical representation for this term is given by $3\times x$.
Considering the term “one more than” in the given statement. Here the one more than term shows that the resultant value is one more than the before calculated value. Hence the mathematical representation for this term is given by $3x+1$.
Finally, at the end of the statement we have that the result is equal to $7$. So, equating the above obtained value to $7$, then we will get
$\Rightarrow 3x+1=7$
Hence the required equation is $3x+1=7$.

Note:
In this problem they have only asked to find the solution, so we have calculated the equation only. In some cases, they may have asked to calculate the solution for the equation. Then we need to apply the reverse arithmetic operations to the arithmetic operations we have in the equation and simplify the equation to get the solution for the equation.