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!) %0D%0AResponses%0D%0A%0D%0A10/14h - 4/6g%0D%0A10/14h - 4/6g - no response given%0D%0A%0D%0A15/8h + 5/4g%0D%0A15/8h + 5/4g - incorrect%0D%0A%0D%0A1 5/8h - 1 1/4g%0D%0A1 5/8h - 1 1/4g - not selected, this is the correct answer%0D%0A%0D%0A1 1/2h - 1 3/4g

Answer 1

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

First, let's combine the terms with "h":
(3/4h + 7/8h) - (1/2g + 3/4g)
= (6/8h + 7/8h) - (2/4g + 3/4g)
= (13/8h) - (5/4g)

So, the simplified expression is 13/8h - 5/4g.