Systems of Equations

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

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

Tags

CCSS.8.EE.C.8A

How many solutions does this system of equations have?

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

Tags

CCSS.8.EE.C.8B

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

• Parallel lines
• the same line 
• Intersecting lines

Tags

CCSS.8.EE.C.8A

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes.  Which system of equations represents the situation?

• 3x + 2y = 315
  2x + 4y = 450
• 3x + 2y = 450
  2x + 4y = 315
• 2x + 2y = 315
  3x + 4y = 450

Tags

CCSS.HSA.CED.A.3

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.2

CCSS.HSA.REI.B.3

CCSS.HSA.REI.C.6

Does the system have one, none or infinite solutions?
 $8x+4y=12$  

 $y=-2x+3$  

• (0,3)

• (3,0)

• No solution (parallel lines)

• Infinitely many solutions

Determine if (4, 1) is a solution for the system of equations.
 $y=-x+5$  

 $y=2x-7$  

• yes

• no

What is the value of the y-coordinate of the solution to the system of equations?

 $x=2y\ +1$  
 $x+4y=7$  

• 1

• -1

• 3

• 4

What is your solution if your variables go away and you are left with 0 = 0?

• No Solution
• All Real Numbers
• Infinitely Many Solutions
• (x, y, z)

Tags

CCSS.8.EE.C.7A

2x - y = 4

2x + y =8

What is the value of x in the solution for this system?

• x=8

• x=3

• x=11

• x=5