Algebra 1: Special Systems

Solve the system and determine the number of solutions it has. If it has one solution, name it.
-6x+y=6
-3x+y=6

• No Solution
• Infinitely Many Solutions
• One Solution; (-1,0)
• One Solution; (0,6)

Tags

CCSS.8.EE.C.8B

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

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

Tags

CCSS.8.EE.C.8A

If a system of equations has infinitely many solutions, what does the graph look like? 

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

Tags

CCSS.8.EE.C.8A

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.

Tags

CCSS.8.EE.C.8A

Which two lines show a system with no solution?

• Purple and Green
• Green and Red
• Purple and Blue
• Red and Blue

Tags

CCSS.8.EE.C.8B

If a system of equations has no solution, 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.

Tags

CCSS.8.EE.C.8A

Solve the system and determine the number of solutions it has. If it has one solution, name it.
4x-6y=12
-2x+3y=-6

• No Solution
• Infinitely Many Solutions
• One Solution; (6,2)
• One Solution; (3,0)

Tags

CCSS.8.EE.C.8B

If a system of equations has one solution, what does the graph look like?

• intersecting lines

• parallel lines

• skew lines

• same lines

Tags

CCSS.8.EE.C.8A

Solve the system and determine the number of solutions it has. If it has one solution, name it.
 $y=7x+10$ 
  $y=7x-5$  

• No Solution

• Infinite Solutions

• One Solution (10,5)

• One Solution (0,0)

Tags

CCSS.8.EE.C.8B

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

• No Solution

• Infinite Solutions

• One Solution: (0, 2)

• One Solution: (2, 6)

Tags

CCSS.8.EE.C.8B