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.
Let the number of games they played last season be represented by the variable "x".
According to the problem, the number of games they will play this season is 7 games fewer than 2 times the number of games they played last season.
Therefore, we can write the equation as:
15 = 2x - 7
To find the number of games Annette's soccer team played last season, we can set up an equation. Let's start by using the variable "x" to represent the number of games they played last season.
According to the problem, the team will play 15 games this season, which means that 15 is equal to the total number of games they played last season plus 7 games fewer than 2 times the number of games they played last season.
Mathematically, this can be expressed as:
15 = x + (2x - 7)
Simplifying the equation, we combine like terms:
15 = 3x - 7
Next, we isolate the variable "x" by moving the constant term (-7) to the other side of the equation:
15 + 7 = 3x
Simplifying further:
22 = 3x
To get the value of "x," we divide both sides of the equation by 3:
22 / 3 = x
Therefore, the equation that represents this problem is 15 = x + (2x - 7), and the number of games they played last season (x) is approximately 7.33. Since the number of games can only be a whole number, we would conclude that they played 7 games last season.
Let's assume the number of games they played last season is represented by "x".
According to the problem, "Annette's soccer team will play 15 games this season", so we can write the equation:
15 = 2x - 7
This equation represents the problem.