# How do you define a variable and write an expression for each phrase: The product of 5 less a number and 4 less than twice the same number?

##### 1 Answer

#### Answer:

A different interpretation of the English could give:

Translate the English words into maths.

#### Explanation:

Let the number that is referred to be

It at least gives us something to work with rather than just a ?.

First, put in some punctuation in the statement to make it easier to understand. The key word is 'product'.

The word 'Product' always uses 'and'

The **product** of 2 **and** 3 would be 2 x 3.

In the expression we have ....

The **product** of, (5 less a number) **and** (4 less than twice the same number)

So, two values are being multiplied and we need an expression for each value.

'5 less than a number' means a certain number, with 5 subtracted from it. ....... [like 3, is 5 less than 8] In our case

"Twice a number' means the number x 2, so,

'4 less than, twice the number' is

Now write an expression for the **product** of the two values for which we have written expressions:

This does not need to simplified, the question is answered.

[The English is not quite clear. "5 less a number could also be interpreted as a number subtracted from 5, in which case the first bracket would be