Question

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

Answer 1

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

Explanation:

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`