Special Systems

A system of equations can have how many solutions? Check ALL that apply

• Two solutions

• One solution

• No solutions

• 100 solutions

• Infinite solutions

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

Which two lines show a system with one solution of (0,1)?

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

Solve the system:

8x + 4y = 12

y = -2x + 3

• (0,3)

• (3,0)

• No solution(parallel lines)

• Infinitely many solutions

Solve by elimination 
-12x-10y= 0 
 6x+5y= -1

• infinite solutions
• (0,0)
• no solution 
• (2,1)

Tags

CCSS.HSA.REI.C.5

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

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

• intersecting lines

• parallel lines

• skew lines

• same lines

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

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.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

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)

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, 4)

• One Solution: (0, 6)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11