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 .

Answer 1

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.

Answer 2

what is the final answer

Answer 3

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.

Answer 4

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

Answer 5

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 \( x = 11 \).