Assessment timer and count assessment items factor the expression. 24−18y enter your answers in the boxes to complete the factored expression.

The answer is:  " 6(4 − 3y) " .

Explanation:

Given:  " 24 − 18y " ;  Factor this expression ;

We can factor out a "6" ;  since "6" is the GCF (greatest common factor) among the 2 (TWO) terms:  "24" and "18y" ;

Note:  With practice, the "GFC = 6" can be identified upon inspection; but here is a complete explanation:

Given the 2 (TWO) terms; "24" and "18y";  we know that only one term has a "y", so we are looking for the GCF of "24" and 18:

  18: 1, 2, 3, 6, 9, 18 .

  24: 1, 2, 3, 4, 6, 8, 12, 24 .

We look at the factors of EACH number—and can tell that "6" is the GCF among both "18" and "24" (and thus, among both "18y and 24" ).

So, to factor the expression:  "24 − 18y" ;

  We factor out a "6" ; to get our answer; which is:

                         " 6(4 − 3y) " .