How do you define a variable and write an expression for each phrase: nine times the quotient of a number and three?

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Answer 1 · 2016-07-28T23:31:08

$9 xx (x div 3) = 9 xx x/3 = (9xx x)/3$

In algebra we can work with numbers even if we do not know their exact value.

WE can always just call a number $x, or y, or a, or b$

This is called defining the variable.

In this question where a number is being referred to, let's call the number "x".

Let the number be $x$

The word "quotient" means the answer to a division and is always used with the word "AND".

The QUOTIENT of $15 and "3 is 5 because "15/3 = 5$ .

"nine times the quotient of a number and three" means

Muliply 9 by the answer to our number (x), divided by 3.

$9 xx (x div 3)$

OR $9 xx x/3$