Hwk 12-5 word problems/systems

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.
Solve:
 x + y = 15
4x + 2y = 44

• (8, 7)
• (7,8)
• (23,-8)
• (7, 22)

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.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.  
Solve: 4x + 6y = 13
           3x + 7y = 13.5

• (1.75, 1)
• (1.5, 1.17)
• (-10.7, 9.3)
• (1, 1.5)

Tags

CCSS.8.EE.C.8C

Homer sells tickets for admission to your school play and collects a total of $104. Admission prices are $6 for adults and $4 for children. He sold 21 tickets total. Write a system to represent this situation assuming "a" represents # of adult tickets and "c" represents # of children's tickets.

• a + c = 21
  6a + 4c = 104
• a + c = 104
  6a + 4c = 21
• a + c = 21
  6c + 4a = 104
• a + c = 104
  6c + 4a = 21

Tags

CCSS.HSA.CED.A.3

David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?

• 1.5x+0.5y=78.5
  x+y=87
• 1.5x+0.5y=78.5
  1.5x+0.5y=87
• x+y=78.5
  1.5x+0.5y=87
• x+y=78.5
  x+y=87

Tags

CCSS.HSA.CED.A.3

Flagship Cinemas sells movie tickets that are $4 for matinees and $7 for regular. One night, the theater sells 578 tickets and collects $3365 in total ticket sales. 
How many matinee tickets and how many regular tickets were sold?

• 227 regular tickets and 351 matinee tickets
• no solution
• 227 matinee tickets and 351 regular tickets
• 640 matinee and 115 regular tickets

Tags

CCSS.8.EE.C.8C

What is the solution to this system of linear equations?
Use elimination.

       3x + y = -14
-2x - y = 9

• (-5, 1)
• (-1, -11)
• (5, -29)
• (13, 55)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the solution to this system of linear equations?  
Use substitution.

 y = 4x + 6
5x + y  = -21

• (27, 108)
• (-3, -6)
• (3, 18)
• (-3, 6)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the value of x in the solutiont o this system of linear equations?
Use substitution.

y = -3x + 3
- 2x + 2y  = 6

• 0
• No solution
• 4
• - 4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6