Simplify the expression:

[tex]\[ z - \frac{4}{4} + 8 \][/tex]

A. [tex]\( z - 7 \)[/tex]
B. [tex]\( z + 9 \)[/tex]
C. [tex]\( z - 3 \)[/tex]
D. [tex]\( z + 7 \)[/tex]



Answer :

To simplify the expression [tex]\( z - \frac{4}{4} + 8 \)[/tex], let's follow these steps:

1. Calculate [tex]\( \frac{4}{4} \)[/tex]:
[tex]\[ \frac{4}{4} = 1 \][/tex]

2. Substitute this value back into the expression:
[tex]\[ z - 1 + 8 \][/tex]

3. Combine the constants [tex]\(-1\)[/tex] and [tex]\(8\)[/tex]:
[tex]\[ -1 + 8 = 7 \][/tex]

4. Thus, the simplified form of the expression becomes:
[tex]\[ z + 7 \][/tex]

From the given options:
A. [tex]\( z - 7 \)[/tex]
B. [tex]\( z + 9 \)[/tex]
C. [tex]\( z - 3 \)[/tex]
D. [tex]\( z + 7 \)[/tex]

The correct answer is:
D. [tex]\( z + 7 \)[/tex]