Question

How do you translate to an algebraic expression: 31 more than b?

Answer 1

Hint: We first try to make the given written statement in its mathematical form. We assume the variable $ x $ to as the required number. Then we form the relationship. We then solve the given linear equation by simplifying the equation with the help of the binary operation. We get the value of the variable as the solution. We apply the binary operation of addition. To get the value of b, we need to subtract the value of 31.

Complete step-by-step answer:
The given statement about the required number is 31 more than b. we take the solution as $ x $ .
Let’s assume the required number is $ x $ . Then we have that 31 more than the number b is $ x $ . This means if we add 31 to the number b, then we get $ x $ .
We form the mathematical statement as $ b+31=x $ .
Therefore, the algebraic expression is $ b+31 $ .
We can find the value of b if we are taking the variable $ x $ into consideration. The use of the variable $ x $ is not necessary.
So, we subtract 31 from both sides. We get
 $
  b+31-31=x-31 \\
 \Rightarrow b=x-31 \;
 $
Therefore, the value of b is $ x-31 $ .
So, the correct answer is “ $ b+31 $ ”.

Note: We can also solve the system according to the value of $ x $ . As the required number is equal to $ b+31 $ , we can say that $ b+31=x $ . Now in that case we are taking the extra variable which is unnecessary. But we can mention the variable to make it a single equation form.