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

Question

.(1 point)
Responses

7−2x=15
7 minus 2 x equals 15

15−7=2x
15 minus 7 equals 2 x

2x−7=15
2 x minus 7 equals 15

2x+7=15

Answer 1

To represent the problem mathematically, let's define \( x \) as the number of games Annette's team played last season.

According to the problem, 2 times the number of games played last season is \( 2x \), and 7 games fewer than that is \( 2x - 7 \). We know that this equals the number of games they will play this season, which is 15.

So, we can set up the equation as:

\[ 2x - 7 = 15 \]

This representation matches the format \( px + q = r \) where \( p = 2 \), \( q = -7 \), and \( r = 15 \).

Thus, the correct equation is:

2x - 7 = 15