Move a term into each blank to create an equivalent expression

Question

-3/4(24x-12)=_____+_____

Answer 1

To create an equivalent expression from \(-\frac{3}{4}(24x - 12)\), we first distribute \(-\frac{3}{4}\) to both terms inside the parentheses.

1. Distributing \(-\frac{3}{4}\):

\[ -\frac{3}{4} \cdot 24x = -18x \] \[ -\frac{3}{4} \cdot (-12) = 9 \]

2. Putting it all together:

\[ -\frac{3}{4}(24x - 12) = -18x + 9 \]

Now we can fill in the blanks:

\[ -3/4(24x-12) = -18x + 9 \]

So, the expression becomes:

\[ -18x + 9 \]

Thus, the equivalent expression can be written as:

\[ -3/4(24x - 12) = ___ + ___ = -18x + 9 \]

So, we can fill in the blanks with \(-18x\) and \(9\).