1/15 Solutions to Systems

Michelangelo decided to order Pizza Hut last night. He purchased 3 pizzas and 2 orders of breadsticks for a total of $29.50. Donatello ordered 2 pizzas and 3 orders of breadsticks last Sunday for a total of $23. Set up a system. Let "p" represent the price per pizza and "b" represent the price of an order of breaksticks.

• 3p + 2b = 29.50
  2p + 3b = 23
• 3p + 2b = 23
  2p + 3b = 29.50
• 3b + 2p = 29.50
  2b + 3p = 23
• 5bp = 29.50
  5bp = 23

Tags

CCSS.HSA.CED.A.3

Two high schools planned senior trips. High school A rented 1 van and 6 buses. They took 372 students. High school B rented 4 vans and 12 buses. They took 780 students. How many students does a van and bus hold?

• A van holds 18 students and a bus holds 59 students.

• A van holds 59 students and a bus holds 18 students.

• A van holds 24 students and a bus hold 54 students.

• A van holds 54 students and a bus holds 24 students.

Tags

CCSS.8.EE.C.8C

Manassas Park is selling tickets for their fall musical. On the first day of sales, we sold 3 adult tickets and 9 student tickets. They made $75. On the second day of sales, we sold 8 adult tickets and 5 student tickets and made $67. How much does an adult and a student ticket cost?

• An adult ticket costs $4 and a student ticket costs $7.

• An adult ticket costs $7 and a student ticket costs $4.

• An adult ticket costs $6 and a student ticket costs $3.

• An adult ticket costs $3 and a student ticket costs $6.

Tags

CCSS.8.EE.C.8C

You and a friend go to Chick-Fil-A. You order 2 chicken sandwiches and 5 cookies. Your bill is $17. Your friend orders 3 chicken sandwiches and 2 cookies. Their bill is $20. How much does a chicken sandwich and a cookie cost?

• A sandwich costs $6 and a cookie costs $1.

• A sandwich costs $1 and a cookie costs $6.

• A sandwich costs $5 and a cookie costs $2.

• A sandwich costs $2 and a cookie costs $5.

Tags

CCSS.8.EE.C.8C

 $-4(3x+2)=3(-4x+5)$  

hint: graph the left side of the equation and then graph the right side of the equation

• No Solution

• One Solution

• Infinite Solution

 $-5(2x-4)=2(10-5x)$  

hint: graph the left side of the equation and then graph the right side of the equation

• No Solution

• One Solution

• Infinite Solution

 $-3(x+6)=-3(2x+4)$  

hint: graph the left side of the equation and then graph the right side of the equation

• No Solution

• One Solution

• Infinite Solution

Bob has $150 in his savings account and saves $40 per month. Which equation represents the amount Bob has in his account after x months?

• y = 150 + 40

• y = 40x + 150

• y = 150x + 40

Tags

CCSS.HSF-BF.A.1A

An online music service lets customers download an unlimited number of songs for $0.25 each after paying a monthly membership fee of $5.00. The total amount of money a customer spends on music in dollars in a single month can be found using the function y=0.25x+5. What does the variable x represent in this function?

• The total amount of money the customer spends on music each month
• The number of songs the customer downloads each month
• The number of customers that use the music service
• The cost of downloading one song 

Tags

CCSS.HSF.LE.B.5

Easy Rider bicycle rentals rents bicycles by the hour, according to the equation shown, where C is the cost for h hours.

 $C\left(h\right)=7.00+6.25h$  

What is the meaning of $7.00$ in this equation?

• It is the number of hours a bicycle is rented.

• It is the cost to rent a bicycle for $6.25$ hours.

• It is the number of hours a bicycle can be rented in order for the total cost to be $6.25.

• It is the base amount someone renting a bicycle pays, in addition to $6.25 for each hour of rental.