Question

Use properties of operations to determine whether 4r + 4t and 4(r+t) are equivalent. Explain your answer.

Answer 1

There is only one property used to determine whether

`4r+4t=4(r+t)`.

The property is called the distributive property and in a nutshell it states,
`a(b+c)=ab+ac`, which means
`a` is distributed through
`b+c` using multiplication. So
`4(r+t)` says, distribute
`4` to
`r` and
`t` which then translates into
`4r+4t`.