Systems of Equations Applications

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

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

Nancy went to the grocery story.  On Monday she purchased 4 apples and 6 bananas for a total of $13.  On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50.  Which system of equations represents the situation?

• 4x + 6y = 3
  13.5x - 13y = 6
• x + y = 4
  x - y = 6
• 4x + 6y = 13
  3x + 7y = 13.5
• 4x - 6y = 13
  3x - 7y = 13.5

Tags

CCSS.HSA.CED.A.3

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, which system could be used to find how many of each type of ticket were sold?

• S + A = 530
  3S + 4A = 1740
• S + A = 530
  4S + 3A = 1740
• S + A = 1740
  3S + 4A = 530
• S + A = 1740
  4S + 3A = 530

Tags

CCSS.HSA.CED.A.3

The school that Laura goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen tickets, 2 adult tickets and 5 child tickets for a total of $55. The school took in $67 on the second day by selling 7 senior citizen tickets, 2 adult tickets and 5 child tickets. On the third day the show earned $46 when they sold 2 senior citizen tickets, 4 adult tickets and 2 child tickets. What is the price each of one senior citizen ticket, one adult ticket and one child ticket?

• Adult: $12
  Child: $8
  Senior: $8
• Adult: $6
  Child: $4
  Senior: $5
• Adult: $7
  Child: $5
  Senior: $4
• I did not get any of the answers above so I am assuming none ofthe above.

Tags

CCSS.HSA.CED.A.3

CCSS.HSA.CED.A.2

CCSS.HSA.REI.C.6

In a pasture are horses and chickens if there are a total of 28 animals and 80 legs how many chickens and horses?

• 10 horses, 18 chickens
• 16 horses, 12 chickens
• 12 horses, 16 chickens
• 18 horses, 10 chickens

Tags

CCSS.8.EE.C.8C

What is your solution if your variables go away and you are left with 0 = 0?

• No Solution
• All Real Numbers
• Infinitely Many Solutions
• (x, y, z)

Tags

CCSS.8.EE.C.7A

Andrea sells photographs at art fairs. She prices the photos according to size: small photos cost $10, medium photos cost $15, and large photos cost $40. She usually sells as many small photos as medium and large photos combined. She also sells twice as many medium photos as large. A booth at the art fair costs $300.

If her sales go as usual, she will have to sell (a)   small photos to pay for the booth.

Tags

CCSS.8.EE.C.7B

An MLB stadium sells three types of tickets. Reserved tickets are sold for $20 each, field level tickets are sold for $50 each, and box seat tickets are sold for $100 each. You purchase 10 total tickets for $370. You have twice as many reserved tickets as field level tickets. Set up the system using the variables

x: reserved

y: field-level

z: box seats

• $x+y+z=370$
  $20x+50y+z=100$
  $2x=y$
  

• 
  

  $x+y+z=10$
  $20x+50y+100z=370$
  $x=2y$
  

• $2x+y+z=370$
  $20x+50y+100z=2$
  $2z=x$
  

Tags

CCSS.HSA.CED.A.3

A local grocery store makes a 9-pound mixture of trail mix. The trail mix contains raisins, sunflower seeds, and chocolate-covered peanuts. The raisins costs $2 per pound, sunflower seeds cost $1 per pound, and chocolate-covered peanuts cost $1.50 per pound. The total cost for the mixture is $14.50. Set up the system of equations using the following:

x: raisins
y: sunflower seeds
z: chocolate-covered peanuts

•  $x+y+z=\text{14}.50$  
   $2x+y+1.50z=9$  
   $x=2y$  
  

•  $x+y+1.5z=9$  
   $2x+y+z=14.50$  
   $2x=y$  
  

• 
  

   $x+y+z=9$  
  

   $2x+y+1.50z=14.50$  
   $x=2y$  
  

Tags

CCSS.HSA.CED.A.3