Linear Systems Mixed Review

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

• Intersecting Lines
• Parallel Lines
• Skew Lines
• Same Line Twice

What is the solution to the system?

• (0, 3)
• (1, -1)
• (-3, 1)
• (1, 3)

Solve this system of equations by graphing. 
y = 2/3x - 2
y = -x + 3

• (0,3)
• (0,-3)
• (3,0)
• (-3,0)

Solve this system of equations by graphing. 
y = 1/2x + 2
y = -3x + 9

• (2,3)
• (-2,-3)
• (3, 2)
• (-3,2)

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

• (-3,-8)
• (-8,-3)
• (3,-8)
• (8,3)

What is the solution?

• No solution
• (0, 2)
• (0, -4)
• (3, -3)

If a system of linear equations has infinitely many solutions, what does this mean about the two lines? 

• Intersecting Lines
• Same Line
• Parallel Lines
• None of the Above

Which statement is true based on the graph?

• At 7 weeks, both Renee and Paul will have saved $80.
• At 8 weeks, both Renee and will have saved $70.
• At 8 weeks, Renee will have saved more than Paul.
• At 9 weeks, Paul will have saved more than Renee.

Solve using elimination. 
 4x + 8y = 20
-4x + 2y = -30

• (-7,1)
• (2,-5)
• (-2,5)
• (7,-1)

Solve using elimination.
 2x + 3y = 12
-2x + 2y = 18

• (-3, 6)
• (15, -6)
• no solution
• infinitely many solutions