Question

Write and solve an equation based off the verbal phrase. The sum of x and 9 is divided by 2. That quantity is equal to 3x.

Answer 1

Start with the sum of x and 9, giving the expression
$x + 9$
This is divided by 2 so
$\frac{x + 9}{2}$
This equals 3x so the equation is
$\frac{x + 9}{2} = 3x$
This can the be solved.
Multiply both sides by 2 to get
$x + 9 = 6x$
Then take x from both sides
$9 = 5x$
Divide by 5 to get the value for x
$1.8 = x$