Algebra Practice Test

To simplify the expression \( \frac{ay + bz}{X^1} \), we first recognize that dividing by \( X^1 \) is the same as multiplying by \( X^{-1} \). This operation affects each term in the numerator separately. The expression can be rewritten as follows:

\[

\frac{ay}{X} + \frac{bz}{X}

\]

Next, we can express each fraction using the denominator \( X \):

\[

\frac{ay}{X} + \frac{bz}{X} = \frac{ay + bz}{X}

\]

In this case, \( X \) could represent a variable or constant, but since it is in the denominator, we are effectively indicating that \( ay \) and \( bz \) are each divided by \( X \).

Now, looking at the choices, we need to determine which one simplifies appropriately:

- The expression \( ay + bzx \) and the others given involve combining terms incorrectly or implying additional multiplications that are not present in the original expression.

The correct interpretation of the aftermath of dividing the entire expression \( ay + bz \) by \( X \) results in a straightforward interpretation leading to \( ay + b