Solutions to Equations in Two Variables

The equations 4x + 3y = 5 and 12x + 9y = 15 represent 

• No  solution

• Infinite many solution

• Unique solution

Tags

CCSS.8.EE.C.8B

There are 50 donkeys and chickens on a farm. There are a total of 174 legs. Which system below can be used to figure out how many of each animal the farm has?

• d + c = 174

  4d + 2c = 50

• d + c = 50

  4d + 2c = 174

• d + c = 50

  2d + 4c = 174

• d + c = 174

  2d + 4c = 50

Tags

CCSS.8.EE.C.8C

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

What is the solution to a system of equations?

• The point that the equations have in common.

• The point where the two lines intersect.

• All of the above.

Tags

CCSS.8.EE.C.8B

The ordered pair that satisfies (makes them true) all equations in the system is a called a ________________.

• system of equations

• function

• graph

• solution of a system

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

For what value of k will pair of equations have no solution? 3x+y=1 , (2k-1)x+(k-1)y=2k+1

• 1

• 2

• 3

• 4

Tags

CCSS.8.EE.C.8B

^{What is the solution?} 

• 1

• -2

• (1, 2)

• (1, -1)

Tags

CCSS.8.EE.C.8B

The equation y = 3x + 5 has _____

• A unique solution

• Only two solutions

• Three solutions

• Infinitely many solutions

Tags

CCSS.8.EE.C.8B

If (2 ,0) is a solution of the linear equation 2x + 3y = k, then the value of k is_____

• 4

• 5

• 6

• 2

The graph of the linear equation 2x + 3y = 6 cuts the y - axis at the point _____

• (2 ,0)

• (0 ,3)

• (3 ,0)

• (0, 2)

Tags

CCSS.HSF-IF.C.7A