Review on Systems of Equations

What type of system is it when the equations have the same slope and different y-intercepts?

• Inconsistent

• Dependent

• Independent

• Consistent

Which of the following best describes the graph of an inconsistent system?

• The lines coincide.

• The lines intersect at exactly one point.

• The lines are parallel and never intersect.

• The lines cross each other at multiple points.

How would you describe the graph of a consistent and dependent system?

• The lines intersect at one point.

• The lines are parallel.

• The lines coincide and overlap entirely.

• The lines intersect at two points.

What type of system is represented by two lines that intersect at one point?

• Consistent and independent

• Consistent and dependent

• Inconsistent and independent

• Inconsistent and dependent

x-y=11
2x+y=19

• (10,-1)

• (-1,10)

• (3,-4)

• (6,7)

What is the solution?
(Hint:  Both lines are graphed over each other)

• One Solution

• No solution

• Infinitely Many Solutions

Solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)

• (-2,-5)

• (2,-5)

• (2,5)

What is the value of the y-coordinate of the solution to the system of equations 
x-2y=1
x+4y=7 

• 1

• -1

• 3

• 4

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

• x + y = 33
  y = 2x - 3

• x + y = 33
  x = 2y - 3

• x + y = 33
  x = 3 - 2y

• x + y = 3
  x = 33 - 2y

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