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?(1 point)
Responses
Let's represent the number of games they played last season as x. The equation that represents this problem is: 2x - 7 = 15.
Let's represent the number of games played last season by the variable "x".
According to the problem, the number of games this season is 7 games fewer than 2 times the number of games played last season.
So, the equation that represents this problem is:
15 = 2x - 7
Let's break down the problem step by step.
First, we know that Annette's soccer team will play 15 games this season. Let's call this number "games_this_season".
Next, we are told that this number is 7 games fewer than 2 times the number of games they played last season. Let's call the number of games they played last season "games_last_season".
So, we can write an equation to represent this relationship:
games_this_season = 2 * games_last_season - 7
Now, we need to find the value of "games_last_season". We can rearrange the equation to isolate this variable:
2 * games_last_season = games_this_season + 7
Dividing both sides of the equation by 2, we get:
games_last_season = (games_this_season + 7) / 2
Therefore, the equation that represents this problem is:
games_last_season = (games_this_season + 7) / 2