Which expressions are equivalent to $$ -7 z+(-5.5)+4.5 z+5 y-2.5 $$ ? Select all that apply. A. $$ 5 y-8-2.5 z $$ B. $$ -8+5 y+2.5 z $$ C. $$ -8+5 y+(-2.5 z) $$ D. $$ -2.5 z+5 y-8 $$ E. $$ 5 y+(-2.5 z)-5.5 $$

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UpStudy AI · Accepted Answer

We start with the expression:
$$
-7z + (-5.5) + 4.5z + 5y - 2.5
$$

**Step 1. Combine the $$z$$ terms:**

$$
-7z + 4.5z = -2.5z
$$

**Step 2. Combine the constant terms:**

$$
-5.5 - 2.5 = -8
$$

**Step 3. Write the simplified expression:**

$$
5y - 2.5z - 8
$$

Now, compare this with each option:

- **Option A:** $$5y - 8 - 2.5z$$  
  This is equivalent because the terms are simply rearranged.

- **Option B:** $$-8+5y+2.5z$$  
  This has $$+2.5z$$ instead of $$-2.5z$$, so it is not equivalent.

- **Option C:** $$-8+5y+(-2.5z)$$  
  This is equivalent because it matches $$5y - 2.5z - 8$$.

- **Option D:** $$-2.5z+5y-8$$  
  This is also equivalent as the terms are just reordered.

- **Option E:** $$5y+(-2.5z)-5.5$$  
  This has a constant $$-5.5$$ instead of $$-8$$, so it is not equivalent.

Thus, the expressions equivalent to the original are:

A, C, and D.
The equivalent expressions are A, C, and D.

Which expressions are equivalent to ?
Select all that apply.
A.
B.
C.
D.
E.

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Which expressions are equivalent to ? Select all that apply. A. B. C. D. E.