Which of these is the algebraic expression for the verbal expression "five times the difference of a number and six?"
5(x − 6)
x − 5 ⋅ 6
6(x − 5)
5 ⋅ x − 6

Respuesta :

Let's consider each of the option

5(x-6)

5 times the difference of a number x and 6

This could be written in another way

5(6-x)

Just that one would be a positive difference and the other would be a negative difference..

The last option would have been correct but if we're to consider pedmas.. The last option is suggesting "the difference of 5 times a number and 6" which is not what the question dictates...

The penultimate option is suggesting "6 times the difference between a number and 5"

And the second option is completely astray........

Hope this helped......

The algebraic expression can be written as 5x - 6

This problem is a verbal mathematical statement called word problem which we can write into a mathematical expression.

Word Problem

To solve this problem, we have to write a word problem for this.

We should note that we have two operators here which are

  • multiplication
  • subtraction.

From the verbal expression, we can proceed as

Let the given number be represented by x

Five time this number would be 5x and the difference of 6 would be

5x - 6

This word problem can be written as

[tex]5x -6[/tex]

Learn more on word problems here;

https://brainly.com/question/21405634