Question

which expressions are equivalent to
-8z + (-5.5) + 3.5z + 3y - 1.5?

select all that apply.

a. -4.5z + 3y - 7
b. -7 + 3y + (-4.5z)
c. 3y - 7 - 4.5z
d. -7 + 3y + 4.5z
e. 3y + (-4.5z) - 5.5

Explanation:

Step1: Combine like z terms

$-8z + 3.5z = -4.5z$

Step2: Combine constant terms

$-5.5 - 1.5 = -7$

Step3: Rewrite simplified expression

$-4.5z + 3y - 7$

Step4: Verify equivalent rearrangements

Rearranging terms gives $-7 + 3y + (-4.5z)$ and $3y - 7 - 4.5z$, which match options A, B, C.

Answer:

A. $- 4.5z + 3y - 7$
B. $- 7 + 3y + ( - 4.5z)$
C. $3y - 7 - 4.5z$