Question

Which of the following expressions are equivalent to (x + y) − z ?

A. z + (x + y)

B. x +(y − z)

C. None of the above

Answer 1

$\huge\text{B. \boxed{x+(y-z)} }$

First, let's take a look at the terms in the original expression. Since its just addition and subtraction, we can get rid of the parentheses, leaving behind just $x+y-z$.

As long as an answer is made up of a positive $x$, a positive $y$, and a negative $z$, its correct!

Removing the parentheses in choice A leaves us with $z+x+y$, which has a positive $z$ rather than a negative $z$, so it's incorrect.

Removing the parentheses in choice B on the other hand gives us $x+y-z$, which means it's the correct answer! This is a good example of the associative property of addition in action.

Answer 2

Answer:

none of the above

Step-by-step explanation: