Question

What is the algebraic expression for: five less than the quotient of \[x\] and \[y\] equals 25.

Answer 1

Hint: Here in this question, we have to read the question and find the relation by reading the question. By knowing the relation, we can have to write in the form of numerals. While writing in the numeral form we use the variables, constants and arithmetic operations.

Complete step-by-step answer:
The algebraic expression or equation is a combination of variables and constants. The variables are alphabets and the constants are numerals. In the algebraic expression we have 3 different types and they are monomial, binomial and polynomial. The algebraic expression or equation involves the arithmetic operations.
We have some sentences, by reading the sentences we have to use arithmetic operations.
 If the sentence involves a plus b, the sum of a and b, a increased by b, b more than a, the total of a and b, b added to a then we use the addition arithmetic operation.
If the sentences involve a minus b, the difference of a and b, b subtracted from a, a decreased by b, b less than a then we use the subtraction arithmetic operation.
If the sentence involves a times b, the product of a and b then we use the multiplication arithmetic operation.
If the sentence involves a by b, the quotient of a and b then we use the division arithmetic operation. And so on.
Now let us go through the question, in the question we have “five less than” In this sentence we have words related to subtraction so we use subtraction symbols. This sentence implies we are subtracting the number 5 from the quotient of \[x\] and \[y\] . The sentence also involves “the quotient of \[x\] and \[y\] ” in this sentence we have the word related to the division we use the division symbol.
Here we have the quantity five less than the quotient of \[x\] and \[y\] equals 25.so we have \[\dfrac{x}{y} - 5 = 25\]
Therefore a variable expression for the word phrase “five less than the quotient of \[x\] and \[y\] equals 25.” is \[\dfrac{x}{y} - 5 = 25\]
So, the correct answer is “ \[\dfrac{x}{y} - 5 = 25\] ”.

Note: The algebraic expression or equation can be converted or transformed into a phrase form. The phrase form is converted or transformed into the numeral form. While converting or transforming the phrase form into numeral form we use variable, numbers and the arithmetic operations.