Question

How would you represent the following relationship using px - q = r?
The difference of 3 times a umber and 9/2 is 13.

__x - __ = __

Answer 1

To represent the relationship "The difference of 3 times a number and 9/2 is 13" using the equation format \( px - q = r \), we start by breaking down the statement:

1. "3 times a number" can be represented as \( 3x \).
2. The "difference of 3 times a number and \( 9/2 \)" means we subtract \( 9/2 \) from \( 3x \), which can be written as \( 3x - \frac{9}{2} \).
3. This difference is stated to be equal to 13.

Putting it all together, we can set up the equation:

\[ 3x - \frac{9}{2} = 13 \]

Now, we can identify the coefficients for the equation \( px - q = r \):

- \( p = 3 \) (coefficient of \( x \))
- \( q = \frac{9}{2} \)
- \( r = 13 \)

Thus, the equation in the desired format is:

\[ 3x - \frac{9}{2} = 13 \]

So, filling in the blanks:

__x - __ = __

3x - \(\frac{9}{2}\) = 13