In a basketball game, one team's score is two points less than half the other team's score, which is x. What is the difference in the scores?
x + 0.5x - 2
To find the difference in scores, we need to set up an equation based on the given information.
Let's say the other team's score is x.
According to the given information, one team's score is two points less than half the other team's score.
So, one team's score is (1/2)x - 2.
The difference in scores is calculated by subtracting one team's score from the other team's score.
Difference in scores = x - ((1/2)x - 2)
Simplifying the equation, we have:
Difference in scores = x - (1/2)x + 2
To combine like terms, we subtract the coefficients of x:
Difference in scores = (1 - 1/2)x + 2
Now, simplify the equation further:
Difference in scores = (1/2)x + 2
Therefore, the difference in scores is (1/2)x + 2.
To find the difference in scores, let's break down the given information step by step:
First, we know that the other team's score is represented by x.
Next, we are told that one team's score is two points less than half the other team's score. To express this mathematically, we can write the equation:
One team's score = (1/2)x - 2
Now, to find the difference in scores, we subtract the smaller score from the larger score. In this case, we compare the one team's score to the other team's score:
Difference in scores = (1/2)x - 2 - x
To simplify the equation and combine like terms, we can convert the fractions into a common denominator:
Difference in scores = (1/2)x - 4/2 - 2x/2
= (1/2)x - 4/2 - x/2
= (1/2)x - x/2 - 4/2
= (1x - x - 4)/2
= (-x - 4)/2
Therefore, the difference in scores is (-x - 4)/2 or -(x/2) - 2.