Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

an expression is shown. $-\frac{3}{4}(24x - 12) = square + square$ move…

Question

an expression is shown.

$-\frac{3}{4}(24x - 12) = square + square$

move a term into each blank to create an equivalent expression.

$18x$ $-21x$ $-18x$ $-32x$ $-16$
$-9$ $9$ $16$

Explanation:

Step1: Distribute $-\frac{3}{4}$

Multiply $-\frac{3}{4}$ by each term inside the parentheses:
$-\frac{3}{4} \times 24x = -\frac{3 \times 24x}{4} = -18x$
$-\frac{3}{4} \times (-12) = \frac{3 \times 12}{4} = 9$

Step2: Form the expression

Combine the results: $-\frac{3}{4}(24x - 12) = -18x + 9$

Answer:

The blanks should be filled with $-18x$ and $9$ (or $9$ and $-18x$).