Question

How would you represent the following relationship using px + q = r?
The result is -5 when 12 is added to 5 times a number.

__x + __ = __

Answer 1

To represent the relationship "The result is -5 when 12 is added to 5 times a number" using the format \( px + q = r \), we can start by breaking down the sentence:

1. "5 times a number" can be expressed as \( 5x \), where \( x \) is the unknown number.
2. "12 is added to" means we add 12 to \( 5x \).
3. The result of this addition is given as -5.

Putting this all together, we get the equation:

\[ 5x + 12 = -5 \]

So, in the form \( px + q = r \):
- \( p = 5 \)
- \( q = 12 \)
- \( r = -5 \)

Thus, the final representation is:

\[
5x + 12 = -5
\]