2D exam review linear systems

Solve the following system by graphing.  What is the solution?

• (3, -2)
• (3, -3)
• (-3, 2)
• (-3, -3)

Tags

CCSS.8.EE.C.8B

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• same lines

What is the type of solution to the system of equations?
y = 1/4x - 3
y = 2/8x - 3

• one solution
• no solution
• infinitely many solutions

What is the solution? (Click here to see the graph)

• -2
• -3
• (-3, -2)
• (-2, -3)

Tags

CCSS.8.EE.C.8B

Give the solution to the system by looking at the graph.

• (3,1)
• (1,3)
• (-1,3)
• Infinitely many

Solve the system by substitution. 
2x − y = −5
y = 2x + 5 

• Infinite number of solutions (dependant lines)
  
• (−4, −8)
  
• (−4, 5) 
• (−4, 3) 

Solve the system by substitution. 
y = 2x − 11
2x − 8y = 4 

• (6, 1)
  
• (6, −1)
  
• (6, −4)
  
• Infinite number of solutions 

1) Solve by elimination. 
     -4x-2y=-12
      4x+8y=-24

• (6,-6)
• (-6,6)
• (6,6)
• (-6,-6)

Solve the system:
3x + y = 19
2x - y = 6

• (5, 14)
• (4, 5)
• (5, 4)
• (14, 5)

The solution (x, y) to a system of equations is the point where they...? 

• cross the y-axis
• Don't touch
• Intersect
• Exist