Question

1. the videography team entered a contest and won a monetary prize of $1350. which expression represents how much each person would get if there were x people on the team? a. $\frac{1350}{x}$ b. $1350 + x$ c. $\frac{x}{1350}$ d. $1350 - x$ 2. a softball team is ordering pizza to eat after their tournament. they plan to order cheese - pizzas that cost $6 each and four - topping pizzas that cost $10 each. they order c cheese pizzas and f four - topping pizzas. which expression represents the total cost of all of the pizzas they order? a. $6 + 10$ b. $c + f$ c. $6c+10f$ d. $6f + 10c$ 3. the value of coins in the pockets of several students is recorded. what is the mean of the values: 10, 20, 35, 35, 35, 40, 45, 45, 50, 60? a. 10 cents b. 35 cents c. 37.5 cents d. 50 cents 4. a softball team is ordering pizza to eat after their tournament. they plan to order cheese pizzas that cost $6 each and four - topping pizzas that cost $10 each. they order c cheese pizzas and f four - topping pizzas. which expression represents the total cost of all of the pizzas they order? a. $6 + 10$ b. $c + f$ c. $6c + 10f$ d. $6f+10c$ 5. alex is selling tickets to a school play. an adult ticket costs $6.50 and a student ticket costs $4.00. alex sells x adult tickets and 12 student tickets. write an expression f(x) to represent how much money alex collected from selling tickets. 6. each of the 10 students in the baking club made chocolate cakes for a fundraiser. they all used the same recipe, using 6 cups of flour in total. write an expression that represents the amount of flour required for one cake.

Explanation:

1. Question 1:

• Explanation:
• ## Step 1: Divide total prize by number of people
• The total prize is $1350$ and there are $x$ people. To find out how much each person gets, we divide the total amount by the number of people. So the expression is $\frac{1350}{x}$.
• Answer: A. $\frac{1350}{x}$

1. Question 2 (repeated - same as 4):

• Explanation:
• ## Step 1: Calculate cost of cheese pizzas
• Each cheese - pizza costs $6$ and they order $c$ cheese pizzas, so the cost of cheese pizzas is $6c$.
• ## Step 2: Calculate cost of four - topping pizzas
• Each four - topping pizza costs $10$ and they order $f$ four - topping pizzas, so the cost of four - topping pizzas is $10f$.
• ## Step 3: Find total cost
• The total cost of all pizzas is the sum of the cost of cheese pizzas and four - topping pizzas, which is $6c + 10f$.
• Answer: C. $6c+10f$

1. Question 3:

• Explanation:
• ## Step 1: Find sum of values
• The values are $10,20,35,35,35,40,45,45,50,60$. The sum $S=10 + 20+35+35+35+40+45+45+50+60=375$.
• ## Step 2: Calculate the mean
• There are $n = 10$ values. The mean $\bar{x}=\frac{S}{n}=\frac{375}{10}=37.5$.
• Answer: C. 37.5 cents

1. Question 4 (repeated): See answer for question 2.
2. Question 5:

• Explanation:
• ## Step 1: Calculate cost of adult tickets
• Each adult ticket costs $6.50$ and Alex sells $x$ adult tickets, so the cost of adult tickets is $6.5x$.
• ## Step 2: Calculate cost of student tickets
• Each student ticket costs $4.00$ and Alex sells $12$ student tickets, so the cost of student tickets is $4\times12 = 48$.
• ## Step 3: Find total money collected
• The total money collected $A(x)=6.5x + 48$.
• Answer: $A(x)=6.5x + 48$

1. Question 6:

• Explanation:
• They use $6$ cups of flour in total for $10$ cakes. To find the amount of flour for one cake, we divide the total amount of flour by the number of cakes.
• The expression for the amount of flour for one cake is $\frac{6}{10}=\frac{3}{5}$ cups.
• Answer: $\frac{3}{5}$ cups

Answer:

1. Question 1:

• Explanation:
• ## Step 1: Divide total prize by number of people
• The total prize is $1350$ and there are $x$ people. To find out how much each person gets, we divide the total amount by the number of people. So the expression is $\frac{1350}{x}$.
• Answer: A. $\frac{1350}{x}$

1. Question 2 (repeated - same as 4):

• Explanation:
• ## Step 1: Calculate cost of cheese pizzas
• Each cheese - pizza costs $6$ and they order $c$ cheese pizzas, so the cost of cheese pizzas is $6c$.
• ## Step 2: Calculate cost of four - topping pizzas
• Each four - topping pizza costs $10$ and they order $f$ four - topping pizzas, so the cost of four - topping pizzas is $10f$.
• ## Step 3: Find total cost
• The total cost of all pizzas is the sum of the cost of cheese pizzas and four - topping pizzas, which is $6c + 10f$.
• Answer: C. $6c+10f$

1. Question 3:

• Explanation:
• ## Step 1: Find sum of values
• The values are $10,20,35,35,35,40,45,45,50,60$. The sum $S=10 + 20+35+35+35+40+45+45+50+60=375$.
• ## Step 2: Calculate the mean
• There are $n = 10$ values. The mean $\bar{x}=\frac{S}{n}=\frac{375}{10}=37.5$.
• Answer: C. 37.5 cents

1. Question 4 (repeated): See answer for question 2.
2. Question 5:

• Explanation:
• ## Step 1: Calculate cost of adult tickets
• Each adult ticket costs $6.50$ and Alex sells $x$ adult tickets, so the cost of adult tickets is $6.5x$.
• ## Step 2: Calculate cost of student tickets
• Each student ticket costs $4.00$ and Alex sells $12$ student tickets, so the cost of student tickets is $4\times12 = 48$.
• ## Step 3: Find total money collected
• The total money collected $A(x)=6.5x + 48$.
• Answer: $A(x)=6.5x + 48$

1. Question 6:

• Explanation:
• They use $6$ cups of flour in total for $10$ cakes. To find the amount of flour for one cake, we divide the total amount of flour by the number of cakes.
• The expression for the amount of flour for one cake is $\frac{6}{10}=\frac{3}{5}$ cups.
• Answer: $\frac{3}{5}$ cups