Question

Algebra tiles to prove that 4 + 8x and 4(2x+1)

Answer 1

Not sure what algebra tiles are

not sure how to absolutely prove
I can prove it works at least most of the time by subsitute ing number for x


remember that 0,1,2 have special properties and are not very good for subsituting so
try 4
4+8(4)=4(2(4)+1)
true or false?
4+8(4)=4(2(4)+1)
multipily
4+32=4(8+1)
36=4(9)
36=36
this is treu at least for the number 4
another way is to believe in the distributive property where
a(b+c)=ab+ac so then
4(2x+1)=4(2x)+4(1)=8x+4=4+8x

Answer 2

4 + 8x

Now, see if the simplified form of 4(2x + 1) is equal to that. 

4*2x = 8x
4*1 = 4

4 + 8x = 4 + 8x   Correct