Question
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 𝑝𝑥 + 𝑞 = 𝑟.(1 point)
15 − 7 = 2x 15 − 7 = 2𝑥
2x − 7 = 15 2𝑥 − 7 = 15
7 − 2x = 15 7 − 2𝑥 = 15
2x + 7 = 15
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 𝑝𝑥 + 𝑞 = 𝑟.(1 point)
15 − 7 = 2x 15 − 7 = 2𝑥
2x − 7 = 15 2𝑥 − 7 = 15
7 − 2x = 15 7 − 2𝑥 = 15
2x + 7 = 15
Answers
GPT-4o mini
To represent the problem with an equation, let's define \( x \) as the number of games Annette’s soccer team played last season.
According to the problem, Annette's team will play 15 games this season, which is 7 games fewer than 2 times the number of games they played last season. We can express this relationship with the equation:
\[
15 = 2x - 7
\]
This equation can also be rearranged to the form \( px + q = r \):
\[
2x - 7 = 15
\]
So the correct representation of the equation based on the problem statement is:
\[
2x - 7 = 15
\]
where \( p = 2 \), \( q = -7 \), and \( r = 15 \).
According to the problem, Annette's team will play 15 games this season, which is 7 games fewer than 2 times the number of games they played last season. We can express this relationship with the equation:
\[
15 = 2x - 7
\]
This equation can also be rearranged to the form \( px + q = r \):
\[
2x - 7 = 15
\]
So the correct representation of the equation based on the problem statement is:
\[
2x - 7 = 15
\]
where \( p = 2 \), \( q = -7 \), and \( r = 15 \).