1800 (x+20)

1800x + 20(1800)
or
1800x + 36,000
are the expressions all equivalent? How can you determine if they are equivalent?

User Icon for Jai Jai answered
11 years ago

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 :)