At the fair there are two bean bag toss games. You gain 3/4 of a point for each bean bag that you get on the target and you lose 1/2 point for each bean bag that does not land on the target. Your total amount of points for this game can be represented by 3/4h - 1/2g. In a different bean bag toss game you gain 7/8 points for each bean bag that get on the target and you lose 3/4 points for each bean bag that does not land on the target. Your total amount of points for this game can be represented by 7/8h - 3/4g. You can figure out the total number of points earned by simplifying this expression: (3/4h - 1/2g) + (7/8h - 3/4g). What would this expression be simplified? (Hint: Combine like terms!) (2 points)

Question

At the fair there are two bean bag toss games. You gain 3/4 of a point for each bean bag that you get on the target and you lose 1/2 point for each bean bag that does not land on the target. Your total amount of points for this game can be represented by 3/4h - 1/2g. In a different bean bag toss game you gain 7/8 points for each bean bag that get on the target and you lose 3/4 points for each bean bag that does not land on the target. Your total amount of points for this game can be represented by 7/8h - 3/4g. You can figure out the total number of points earned by simplifying this expression: (3/4h - 1/2g) + (7/8h - 3/4g). What would this expression be simplified? (Hint: Combine like terms!) (2 points)
Responses

10/14h - 4/6g
10/14h - 4/6g

15/8h + 5/4g
15/8h + 5/4g

1 5/8h - 1 1/4g
1 5/8h - 1 1/4g

1 1/2h - 1 3/4g

GPT 3.5 · Answer

To simplify the expression (3/4h - 1/2g) + (7/8h - 3/4g), you need to combine like terms.

The terms with "h" are (3/4h + 7/8h), which can be added together to get (15/8h).
The terms with "g" are (-1/2g - 3/4g), which can be added together to get (-5/4g).

Therefore, the simplified expression is 15/8h - 5/4g.