Translate the following written expression into a mathematical expression. Then, find the expression's value when a = 186 and b = 5.

"The difference of the quotient of a and 6 and b squared"

A.

6

B.

21

C.

-6

D.

56

Answer: The correct answer is option A: 6

Step-by-step explanation: We shall start by splitting the word problem into bits to ease our calculations.

We start with "the quotient of a and 6 ... " and that can be expressed as

a/6 where a equals 186, this becomes

186/6 and this equals 31.

Note that quotient means the result derived from dividing two numbers/values.

Next, "The difference of ... and b squared"

The missing part of this statement has been calculated as 31, so this can now be written as "The difference of 31 and b squared" where b equals 5 and b squared now equals 25. Hence what we have is the difference of 31 and 25

That is, 31 - 25 and that equals 6.

Therefore, the expression can now be written out as;

(a/6) - b^2

When a equals 186 and b equals 5, the answer is 6