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

𝑝
𝑥
+
𝑞
=
𝑟
.(1 point)
Responses

2x+7=15
2
𝑥
+
7
=
15
2 x plus 7 equals 15

2x−7=15
2
𝑥
−
7
=
15
2 x minus 7 equals 15

7−2x=15
7
−
2
𝑥
=
15
7 minus 2 x equals 15

15−7=2x

Answer 1

To set up the problem with an equation, let's define \( x \) as the number of games Annette's soccer team played last season.

According to the information given:

• They are playing 15 games this season.
• This is 7 games fewer than 2 times the number of games they played last season.

We can express this mathematically as: \[ 15 = 2x - 7 \]

To manipulate this into the form \( px + q = r \), we can rearrange the equation: \[ 2x - 7 = 15 \]

This equation is now in the form of \( px + q = r \) where \( p = 2 \), \( q = -7 \), and \( r = 15 \).

So the correct response is: 2x - 7 = 15