Algebra
posted by BILL on .
1800 (x+20)
1800x + 20(1800)
or
1800x + 36,000
are the expressions all equivalent? How can you determine if they are equivalent?

Yes, they are all equivalent.
To prove, assume a real value of x, for instance, x = 2. Then we substitute this value to each expression. The answers must be equal since the expressions are equivalent:
1800(x+20) ; x=2
1800(2+20) = 1800(22) = 39,600
1800x + 20(1800) ; x=2
1800(2) + 36000 = 3,600 + 36,000 = 39,600
1800x + 36,000 ; x=2
1800(2) + 36,000 = 3,600 + 36,000 = 39,600
Hope this helps :)