3/9-Review Systems

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

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

What is the solution?

• (1, -1)
• (-1, 1)
• (0, -2)
• (0, 1)

How many solutions does this system of equations have?

• One Solution
• No solution
• Infinitely Many Solutions
• Two Solutions

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines
• the same line 
• Intersecting lines

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. Which equation represents the number of shirts when both companies charge the same amount? 

• y = 9.65 + x
  y = 8.40 + x
• y = 9.65x + 43
  y = 8.40x + 58
• y =9.65x
  y = 8.40x
• y = 9.65x - 43
  y = 8.40x - 58

What kind of lines have no solution to a system of equations

• Parallell Lines
• Overlapping lines
• Intersecting Lines
• Skew Lines

If a system of equations has infinitely many solutions, what do you know about the slopes and y-intercepts of the two equations?

• They have different slopes and different y-intercepts.
• They have the same slopes and different y-intercepts.
• They have the same slopes and the same y-intercepts.
• They have different slopes and the same y-intercepts.

A student attempted to solve a system by elimination and this was the result. What is the solution to the system?

• $\left(0,12\right)$
  

• No solution

• Infinitely Many Solutions

• Cannot be determined

A student attempted to solve a system by elimination and this was the result. What is the solution to the system?

• $\left(0,0\right)$
  

• No solution

• Infinitely Many Solutions

• Cannot be determined

A student attempted to solve a system by graphing and this was the result. What is the solution to the system?

•  $\left(1,4\right)$ 
  

• No solution

• Infinitely Many Solutions

• Cannot be determined