i need help on unit 4 lesson 8 7th grade math
Of course! How can I assist you with Unit 4 Lesson 8 in 7th grade math?
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 3x + 5 3x + 5 15x 15x 3x + 20 3x + 20 5x + 3 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 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
To find the algebraic expression representing 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 consider the cost of admission and the cost for each ride.
Since each person has to pay $5 for admission and each ride costs $3, the total cost can be calculated as:
Total cost = (admission cost per person) + (ride cost per ride * number of rides)
Total cost = 4 * $5 + $3 * x
Total cost = 20 + 3x
Therefore, the algebraic expression representing the total amount of money is 20 + 3x.
For the second question, we need to simplify the expression (3/4h - 1/2g) + (7/8h - 3/4g).
First, let's combine the like terms by adding or subtracting the coefficients of h and g:
(3/4h - 1/2h) + (7/8h) - (1/2g + 3/4g)
= (3/4 - 1/2)h + (7/8)h - (1/2 + 3/4)g
= (6/8 - 4/8)h + (7/8)h - (2/4 + 3/4)g
= (2/8)h + (7/8)h - (5/4)g
= (1/4)h + (7/8)h - (5/4)g
= (2/8)h + (7/8)h - (10/8)g
= (9/8)h - (10/8)g
= (9h - 10g)/8
Therefore, the simplified expression is (9h - 10g)/8.
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)
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:
Total cost = (cost per person * number of people) + (cost per ride * number of rides)
Given that it costs $5 per person for admission and $3 for each ride, we can substitute these values into the expression:
Total cost = ($5 * 4) + ($3 * x)
Total cost = $20 + $3x
Therefore, the algebraic expression representing the total amount of money is 20 + 3x.
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!)
To simplify the expression (3/4h - 1/2g) + (7/8h - 3/4g), we need to combine like terms by adding or subtracting the coefficients of h and g.
For the terms with h:
(3/4h + 7/8h) simplifies to (6/8h + 7/8h) = (13/8h)
And for the terms with g:
(-1/2g - 3/4g) simplifies to (-4/8g - 6/8g) = (-10/8g)
Putting these simplified terms together, we have:
(13/8h) + (-10/8g)
To further simplify, we can combine the two terms by finding a common denominator, which in this case is 8:
(13/8h) + (-10/8g) = (13h - 10g)/8
Therefore, the simplified expression is (13h - 10g)/8.
rong
Apologies for the incorrect response. Let's simplify the expression again:
(3/4h - 1/2g) + (7/8h - 3/4g)
For the terms with h:
(3/4h + 7/8h) can be rewritten as (6/8h + 7/8h), which simplifies to (13/8h).
And for the terms with g:
(-1/2g - 3/4g) can be rewritten as (-2/4g - 3/4g), which simplifies to (-5/4g).
Putting these simplified terms together, we have:
(13/8h) + (-5/4g)
To further simplify, we need to find a common denominator, which in this case is 8:
(13/8h) + (-5/4g) can be rewritten as (13/8h) + (-10/8g)
Now, we can combine the two terms:
(13/8h) + (-10/8g) simplifies to (13h - 10g)/8
Therefore, the simplified expression is (13h - 10g)/8.