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Answer :
Here's how you can solve the problem step by step:
1. Understand the problem: We are given information about the number of soccer games Annette's team will play this season, and we need to determine how many games they played last season.
2. Identify the relationship: The problem states that the number of games this season (15 games) is 7 fewer than twice the number of games they played last season.
3. Set up the equation: Let [tex]\( x \)[/tex] represent the number of games played last season. Twice this amount would be [tex]\( 2x \)[/tex]. According to the problem, twice the number of games last season minus 7 equals the number of games this season. This relationship can be written as:
[tex]\[
2x - 7 = 15
\][/tex]
4. Choose the correct form: The equation [tex]\( 2x - 7 = 15 \)[/tex] matches one of the options given in the form [tex]\( px + q = r \)[/tex], where [tex]\( p = 2 \)[/tex], [tex]\( q = -7 \)[/tex], and [tex]\( r = 15 \)[/tex].
Therefore, the correct equation that represents the problem is:
[tex]\[
2x - 7 = 15
\][/tex]
1. Understand the problem: We are given information about the number of soccer games Annette's team will play this season, and we need to determine how many games they played last season.
2. Identify the relationship: The problem states that the number of games this season (15 games) is 7 fewer than twice the number of games they played last season.
3. Set up the equation: Let [tex]\( x \)[/tex] represent the number of games played last season. Twice this amount would be [tex]\( 2x \)[/tex]. According to the problem, twice the number of games last season minus 7 equals the number of games this season. This relationship can be written as:
[tex]\[
2x - 7 = 15
\][/tex]
4. Choose the correct form: The equation [tex]\( 2x - 7 = 15 \)[/tex] matches one of the options given in the form [tex]\( px + q = r \)[/tex], where [tex]\( p = 2 \)[/tex], [tex]\( q = -7 \)[/tex], and [tex]\( r = 15 \)[/tex].
Therefore, the correct equation that represents the problem is:
[tex]\[
2x - 7 = 15
\][/tex]
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