Question

$-\frac{3}{4}(24x - 12)=square+square$
move a term into each blank to create an equivalent expression.

$18x$ $-21x$ $-18x$

$-32x$ $-16$ $-9$ $9$

$16$

Explanation:

Step1: Distribute \(-\frac{3}{4}\) to \(24x\)

To distribute \(-\frac{3}{4}\) to \(24x\), we multiply \(-\frac{3}{4}\) by \(24x\). The calculation is \(-\frac{3}{4} \times 24x\). First, we calculate \(\frac{3\times24}{4}= 18\), and since the sign is negative, we get \(-18x\).

Step2: Distribute \(-\frac{3}{4}\) to \(-12\)

Next, we distribute \(-\frac{3}{4}\) to \(-12\). The calculation is \(-\frac{3}{4} \times (-12)\). When we multiply two negative numbers, the result is positive. We calculate \(\frac{3\times12}{4}=9\), so we get \(9\).

Answer:

\(-18x\) and \(9\) (So the blanks are filled with \(-18x\) and \(9\) respectively)