SOLUTION: a basketball team scored 5 runs in a game which was four more than 1/2 the runs scored by the opposing team. write a function that models this situation. I need help with this prob

Question 1122522: a basketball team scored 5 runs in a game which was four more than 1/2 the runs scored by the opposing team. write a function that models this situation. I need help with this problem.
Answer by greenestamps(13200) (Show Source): You can put this solution on YOUR website!

I didn't know basketball teams could score runs.......

The unknown is the number of runs scored by the other team, so call that number x.

Then the problem says that 5 is 4 more than 1/2 of x.

Translate that directly into algebraic notation:
"more than..." implies addition;
"1/2 of..." means multiplication;
the word "is" is the equals sign.

Note further that "3 more than 7" should be interpreted as 7+3 instead of 3+7. While the two expressions 7+3 and 3+7 have the same value, the phrase "3 more than 7" suggests that you are starting with the 7 and adding the 3.

The distinction becomes important when the phrase is "3 less than 7". Beginning algebra students want to translate that word for word and get "3-7". However, clearly the meaning is that you are starting with the 7 and subtracting the 3; so the correct expression is "7-3".
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