Solving Systems Word Problems

There are 15 animals in a barn.  These animals are horses and chickens.  There are 44 legs in all.  Which system of equations represents the situation?

• x + y = 15
  4x + 2y = 44
• 4x + 2y = 15
  x + y = 44
• x = 2y + 44
  4x = y + 15
• 2x - 4y = 44
  x - y = 15

Tags

CCSS.8.EE.C.8C

There are 15 animals in a barn.  These animals are horses and chickens.  There are 44 legs in all.  

How many horses and chickens are in the barn?

• 6 Horses

  8 Chickens

• 7 Horses

  8 Chickens

• 8 Horses

  7 Chickens

• 6 Horses

  9 Chickens

Tags

CCSS.8.EE.C.8C

Nancy went to the grocery store.  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.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.  

What is the cost of 1 apple and 1 banana?

• 1 apple = $1

  1 banana = $1.50

• 1 apple = $1.50

  1 banana = $1

• 1 apple = $2

  1 banana = $1.50

• 1 apple = $1

  1 banana = $2.50

Tags

CCSS.8.EE.C.8C

The senior class at Rivermont High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Washington High School rented and filled 12 vans and 14 buses with 770 students. Which system of equations solves this problem to show how many students were in each van and each bus?

• 11v + 3b = 283

  12v + 14b = 770

• v + b = 14

  v + b = 16

• 11v + 12v = 283

  3b + 14b = 770

• v + b = 30

  23v + 17b = 1053

Tags

CCSS.8.EE.C.8C

The senior class at Rivermont High School rented and filled 11 vans and 3 buses with 283 students. The senior class at Washington High School rented and filled 12 vans and 14 buses with 770 students.

How many students were in each van and each bus?

• Van = 43 studnets

  Bus = 14 students

• Van = 14 studnets

  Bus = 43 students

• Van = 15 studnets

  Bus = 43 students

• Van = 14 studnets

  Bus = 44 students

Tags

CCSS.8.EE.C.8C

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 talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. The total receipts were $1740.

How many of each type of ticket were sold?

• Student tickets = 150

  Adult Tickets = 380

• Student tickets = 380

  Adult Tickets = 150

• Student tickets = 280

  Adult Tickets = 150

• Student tickets = 380

  Adult Tickets = 110

Tags

CCSS.8.EE.C.8C

Josh is thinking of two numbers.  Their sum is -10 and their difference is -2.  Which system of equations represents the situation?

• x - y = -10
  x + y = -2
• x = -2 
  y = 5
• x + y = -2
  x - y = -10
• x + y = -10
  x - y = -2

Tags

CCSS.HSA.CED.A.3

Josh is thinking of two numbers.  Their sum is -10 and their difference is -2.  

What are the two numbers?

• -6 and -4

• 6 and 4

• -6 and 4

• 6 and -4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6