Question

an expression is shown

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

Move a term into each blank to create an equivalent expression

Answer 1

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

Let's calculate it step by step:

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

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

2. Calculate each term:

- For the first term:
\[
-\frac{3}{4} \times 24x = -18x
\]

- For the second term:
\[
-\frac{3}{4} \times -12 = 9
\]

3. Putting it together, we get:

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

Therefore, you can fill the blanks with \(-18x\) in the first blank and \(9\) in the second blank.

The final expression would be:

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