Answer
The sentence is translated into the algebraic equation:
$\frac{1}{4}x - 5 = 32$
Work Step by Step
We want to translate this problem into an algebraic expression or equation. We need to analyze the terminology.
$\frac{1}{4}$ of a number:
(1) "Of" means "to multiply."
(2) We use the variable $x$ to represent the number.
We then get for this portion:
$\frac{1}{4}$ x $x$ or $\frac{1}{4}x$
Decreased by $5$ means to subtract by $5$, so we get:
$\frac{1}{4}x - 5$
"Is" means "equals."
So now we have the whole sentence translated as:
$\frac{1}{4}x - 5 = 32$
