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? Which equation represents this problem?
15 − 7 = 2(x)
7 − 2(x) = 15
2(x) − 7 = 15
2(x) + 7 = 15
Let x represent the number of games they played last season. 2x - 7 = 15 represents the problem.
To solve this problem, we need to set up an equation that accurately represents the relationship between the number of games played last season and the number of games played this season.
Let's suppose that the number of games played last season is represented by 'x'.
According to the problem, Annette's soccer team played 7 fewer games this season compared to twice the number of games they played last season.
To represent this information in the form of an equation, we can use the expression "2 times the number of games played last season minus 7". This can be written as 2x - 7.
Now, we know that the team played 15 games this season. So we can set up the equation as follows:
2x - 7 = 15
Therefore, the equation that represents this problem is 2(x) - 7 = 15.