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:
- "3 times a number" can be represented as \( 3x \).
- The "difference of 3 times a number and \( 9/2 \)" means we subtract \( 9/2 \) from \( 3x \), which can be written as \( 3x - \frac{9}{2} \).
- 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
3 answers