Select the best answer for the question. A basketball player has already scored 56 points in a game. The team record for points in a game is 72. Which equation would allow you to find out how many more points the player needs to tie the record? A. [tex]$56+x=72$[/tex] B. [tex]$72+x=56$[/tex] C. [tex]$56+72=x$[/tex] D. [tex]$56-72=x$[/tex]
Answer (2)
Define x as the additional points needed.
Set up the equation: 56 + x = 72 .
Compare the equation with the given options.
The correct equation is: 56 + x = 72 .
Explanation
Setting up the equation Let x be the number of additional points the player needs to score to tie the team record. The player's current score is 56 points, and the team record is 72 points. To tie the record, the sum of the player's current score and the additional points needed must equal the team record. Therefore, the equation is 56 + x = 72 .
Comparing with the options Now, let's compare this equation with the given options: A. 56 + x = 72 (This matches our equation) B. 72 + x = 56 (This equation implies the record plus some additional points equals the current score, which is incorrect) C. 56 + 72 = x (This equation calculates the sum of the current score and the record, which is not what we want) D. 56 − 72 = x (This equation calculates the difference between the current score and the record, which is also not what we want)
Finding the correct option The correct equation is 56 + x = 72 , which corresponds to option A.
Examples
Imagine you are playing a game and want to reach a certain score to win a prize. If you already have some points, this problem helps you figure out how many more points you need to achieve your goal. For example, if you have 30 points and need 50 to win, the equation 30 + x = 50 tells you how many more points ( x ) you need. This concept is useful in many situations, like saving money to buy something or tracking progress towards a goal.
The equation to determine how many more points the player needs to tie the record is 56 + x = 72 . Therefore, the correct answer is option A. This equation helps us find the additional points required by the player.
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