System of Equations Graphs and Application

A student purchased 3 boxes of pencils, x, and 2 boxes of pens, y, for $6. He then purchased 2 boxes of pencils and 4 boxes of pens for $8. What is the cost of each box of pens?

• Each box of pens costs $1.

• Each box of pens costs $1.25.

• Each box of pens costs $1.50.

• Each box of pens costs $1.75.

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

Solve the systems with any method you choose: Check all that apply:

• x= -5/2

• y=-5/2

• No Solutions

• Infinitely Many Solutions

• x=0

• 
• 
• 

What is the solution to this system?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

What is the solution to this system?

What is the solution to the system of equations?

• (2, -2)

• (2, 2)

• No Solution

• (-2, -2)

What is the solution to the system of equations graphed below?

• No Solution

• Infinite Solutions

• One Solution: (1, -2)

• One Solution: (-2, 1)

What is the solution to the system of equations graphed below?

• No Solution

• Infinite Solutions

• One Solution: (0, 2)

• One Solution: (2, 6)

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)