Question

Apply the distributive property and the greatest common factor to write an equivalent expression. Enter your answers in the boxes.

32k+24= ?(?)

Answer 1

The distributive property looks like this: a(b+c) = ab + bc

We're going to apply this property in reverse.
We're starting with something like this ab + bc,
two terms which share stuff in common.
And we're going to factor out the common stuff.

32 and 24 are both divisible by 8.
Rewrite 32 and 24 as 8 times something.

32*k + 24 = 8*4*k + 8*3

And now factor an 8 out of each term,

8(4*k + 3)

Hope that makes sense! :)