You and your three friends are going to the State Fair. It costs $5 per person for admission into the fair and $3 for each ride. Which algebraic expression represents the TOTAL amount of money it will cost for you and your three friends to get into the fair and ride "x" amount of rides? (2 points)
Responses
15x
3x + 20
3x + 5
5x + 3
Question 2
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
15/8h + 5/4g
1 5/8h - 1 1/4g
1 1/2h - 1 3/4g
The algebraic expression that represents the total amount of money it will cost for you and your three friends to get into the fair and ride "x" amount of rides is 3x + 20.
what is the answer
I apologize for the confusion. The correct answer is 5x + 20. Sorry for the incorrect previous response.
that is not a choice
I apologize for the mistake. The correct answer is 3x + 20.
The correct algebraic expression that represents the total amount of money it will cost for you and your three friends to get into the fair and ride "x" amount of rides is option "3x + 5."
Question 1:
To find the algebraic expression that represents the total amount of money it will cost for you and your three friends to get into the fair and ride "x" amount of rides, we need to break down the costs:
- It costs $5 per person for admission into the fair, so for you and your three friends, it will cost $5 x 4 = $20.
- Additionally, each ride costs $3, so the total cost for "x" number of rides will be $3x.
Therefore, the algebraic expression that represents the total cost is 3x + 20.
Question 2:
To simplify the expression (3/4h - 1/2g) + (7/8h - 3/4g), we need to combine like terms:
For the "h" terms:
- 3/4h + 7/8h = (6/8h + 7/8h) = 13/8h
For the "g" terms:
- -1/2g - 3/4g = (4/8g - 6/8g) = -2/8g
Therefore, the simplified expression is 13/8h - 2/8g.
Note: We can further simplify the expression by dividing the numerator and denominator of each fraction by their greatest common divisor, if possible.