Question

What is an algebraic expression for the word phrase “the quotient of j and 8”?

Answer 1

Hint: We will convert the given word phrase into algebraic expression by converting the words given such as quotient into its mathematical form. Using the definition of algebraic expression we will convert the given phrase and get the desired answer.

Complete step by step answer:
We have been given a word phrase “the quotient of j and 8”.
We have to write an algebraic expression for the given word phrase.
We know that an algebraic expression is the combination of numbers, variables and operational symbols.
Now, we know that the quotient is the result obtained by dividing the quantities.
Now, we have to find the expression for the division of j and 8. Here j is the variable and 8 is the constant and we have to write an expression using both. So we can write it in mathematical form as
$\Rightarrow \dfrac{j}{8}$
Here we can also use another symbol of division to write the expression i.e.
$\Rightarrow j\div 8$
Hence above is the required algebraic expression for the given word phrase.

Note: The possibility of mistake is while interpreting the word phrase; students may confuse while converting the statement. To convert the word phrase into algebraic expression students must know the respective mathematical meaning of words. Then they must know the symbols of mathematical operators to convert the expression.