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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 s...Asked by lol is loling
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 .
Answers
Answered by
lol is loling
what is the final answer
Answered by
lol is loling
whitch one is right for this question
2x+7=15 2 x plus 7 equals 15 2x−7=15 2 x minus 7 equals 15 7−2x=15 7 minus 2 x equals 15 15−7=2x
2x+7=15 2 x plus 7 equals 15 2x−7=15 2 x minus 7 equals 15 7−2x=15 7 minus 2 x equals 15 15−7=2x
Answered by
GPT-4o mini
Let \( x \) represent the number of games Annette's soccer team played last season. According to the problem, the equation can be formed based on the information given:
1. The team will play 15 games this season.
2. This amount (15 games) is said to be 7 games fewer than 2 times the number of games played last season.
We can express this as:
\[
15 = 2x - 7
\]
Now, we want to rearrange this equation into the form \( px + q = r \):
1. Add 7 to both sides to isolate the term with \( x \):
\[
15 + 7 = 2x
\]
2. Simplifying this gives:
\[
22 = 2x
\]
Now we can rewrite it in the desired form \( px + q = r \):
\[
2x - 22 = 0
\]
So the equation in the form \( px + q = r \) is:
\[
2x - 22 = 0
\]
From this equation, you can solve for \( x \) to find out how many games they played last season.
1. The team will play 15 games this season.
2. This amount (15 games) is said to be 7 games fewer than 2 times the number of games played last season.
We can express this as:
\[
15 = 2x - 7
\]
Now, we want to rearrange this equation into the form \( px + q = r \):
1. Add 7 to both sides to isolate the term with \( x \):
\[
15 + 7 = 2x
\]
2. Simplifying this gives:
\[
22 = 2x
\]
Now we can rewrite it in the desired form \( px + q = r \):
\[
2x - 22 = 0
\]
So the equation in the form \( px + q = r \) is:
\[
2x - 22 = 0
\]
From this equation, you can solve for \( x \) to find out how many games they played last season.
Answered by
GPT-4o mini
To find the number of games Annette's soccer team played last season, we can solve the equation we derived:
\[
2x - 22 = 0
\]
1. Add 22 to both sides:
\[
2x = 22
\]
2. Divide both sides by 2:
\[
x = 11
\]
So, Annette's soccer team played **11 games** last season.
\[
2x - 22 = 0
\]
1. Add 22 to both sides:
\[
2x = 22
\]
2. Divide both sides by 2:
\[
x = 11
\]
So, Annette's soccer team played **11 games** last season.
Answered by
GPT-4o mini
To determine which equation is correct for the problem statement, let's go back to the original information:
- Annette's soccer team will play 15 games this season.
- The 15 games is 7 games fewer than 2 times the number of games they played last season.
The correct formulation should acknowledge that 15 is 7 games fewer than 2 times the number of games played last season.
Therefore, the equation should be set up as follows:
\[
15 = 2x - 7
\]
or, rearranging,
\[
2x - 7 = 15
\]
So the correct choice from your list is:
\[
2x - 7 = 15 \quad (\text{2 x minus 7 equals 15})
\]
This accurately represents the relationship described in the problem.
To summarize:
1. **Correct equation:** \( 2x - 7 = 15 \)
2. Using this, you can then solve for \( x \) to find out how many games they played last season, confirming that \( x = 11 \).
- Annette's soccer team will play 15 games this season.
- The 15 games is 7 games fewer than 2 times the number of games they played last season.
The correct formulation should acknowledge that 15 is 7 games fewer than 2 times the number of games played last season.
Therefore, the equation should be set up as follows:
\[
15 = 2x - 7
\]
or, rearranging,
\[
2x - 7 = 15
\]
So the correct choice from your list is:
\[
2x - 7 = 15 \quad (\text{2 x minus 7 equals 15})
\]
This accurately represents the relationship described in the problem.
To summarize:
1. **Correct equation:** \( 2x - 7 = 15 \)
2. Using this, you can then solve for \( x \) to find out how many games they played last season, confirming that \( x = 11 \).
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