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
15−7=2x15 minus 7 is equal to 2 x
7−2x=157 minus 2 x is equal to 15
2x−7=152 x minus 7 is equal to 15
2x+7=152 x plus 7 is equal to 15
The equation that represents this problem is: 2x - 7 = 15.
The equation that represents this problem is:
2x - 7 = 15
To solve this problem, let's break it down step by step.
First, let's define some variables:
Let x be the number of games Annette's soccer team played last season.
According to the information given in the problem:
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.
From this, we can set up the equation:
2x - 7 = 15
This equation represents the problem. Now, we can solve it.
To solve for x, we will isolate the variable on one side of the equation. Let's do this step by step:
First, let's get rid of the -7 on the left side of the equation. To do this, we can add 7 to both sides:
2x - 7 + 7 = 15 + 7
Simplifying the equation:
2x = 22
Finally, to isolate x, we need to divide both sides of the equation by 2:
2x / 2 = 22 / 2
Simplifying further:
x = 11
Therefore, the answer to the question "How many games did they play last season?" is 11 games.