System of Equations Graph 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

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

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

The sum of Mr. Micklow and Ms. Craft's age is 55.  The difference is 3.  
Solve:
x + y = 55
x - y = 3

• (26, 23)

• (26, 29)

• (29, 26)

• (29, 32)

•  a. y = ½ x + 2

  y = –x – 3  

• b. y = ½ x + 2

  y = x – 3

• c. y = –½ x – 3

      y = –x + 2   

• d. y = –½ x + 3

  y = x + 2

Decide if the following statements are true or false about the graph.

Groups:

(a) True

,

(b) False

• The lines are perpendicular which means they will not ever cross.

• The slope(m) of the lines are equal

• The slopes are equal, so the system has infinitely many solutions

• The lines will eventually touch, so the system has one solution

• The line are parallel, so the system has no solution

• The lines will not intersect, so the system has no solution

What is the solution to this system?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

What is the solution?

• (1, -1)

• (-1, 1)

• (0, -2)

• (0, 1)

The graph shows the system of which two equations?

•    a. y = 2x + 4

  y = 3x + 1

• b. y = 2x + 4

  y = –3x + 1

     

• c. y = –2x + 1    

   y = –3x + 4 

• d. y = 2x + 1

  y = –3x + 4