Question

Expression A 5x+4Expression B. 3+5x+1Which statement can be used to show that these expressions are equivalent?A. 5x+4 can be rewritten as 3 + 5x + 1 using the distributivepropertyB. Both expressions involve additionC. The expressions name the same number regardless of the valueof xD. Each expression includes the term 5x.

Answer 1

Given the expression A:

`5x+4`

And the expression B:

`3+5x+1`

You need to remember that Equivalent Expressions have the same value, even when they look different.

In this case, when you add the like terms of the expression B, you get (Remember that the like terms are those that have the same variables and the same exponents):

`3+5x+1=+5x+(1+3)=5x+4`

Now you can identify clearly that:

`Expression\text{ }A=Expression\text{ }B`

Notice that they have the same Constant term:

`4`

Hence, the answer is: Option C.