Question

Define a variable and write an expression for the phrase.

the quotient of 2 times a number and 8






















.

Answer 1

The expresion for the phrase is:

`(2x)/(8)`

Explanation:

In order to get the expression for the phrase, we have to understand the described operations in it.

The phrase starts with "the quotient of...", therefore the expression must be a fraction:

`(A)/(B)`

To get what is the numerator (A) and the denominator (B), we have to analyze carefully the rest of the phrase: "...2 times a number and 8"

In this case, the word "and" separates the numerator from the denominator:

Numerator: "2 times a number"

This unknown number is called x

Therefore, numerator of the fraction (A) is:

`A = 2x`

And the Denominator: "8"

Therefore:
`B=8`

Finally, replacing values:

`(A)/(B) = (2x)/(8)`