Annette’s soccer team will play 15 games this season. That is 7 games fewer than 2 times the number of games they played last season. How many games did they play last season? Represent this problem with an equation in the form px+q=r

.

1 answer

Let \( x \) represent the number of games Annette's soccer team played last season.

According to the problem, 2 times the number of games played last season is \( 2x \). The team will play 15 games this season, which is 7 games fewer than twice the number of games played last season. This can be expressed with the equation:

\[ 2x - 7 = 15 \]

To represent this equation in the form \( px + q = r \):

  1. Rewrite the equation:
    \( 2x - 7 = 15 \)

In this form, we have:

  • \( p = 2 \)
  • \( q = -7 \)
  • \( r = 15 \)

So, the equation \( px + q = r \) is:

\[ 2x - 7 = 15 \]