Systems of Equations and Inequalities

What is the solution?

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

Tags

CCSS.8.EE.C.8A

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

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

Use substitution to solve for x and y
3x + 2y = 16
7x + y = 19

• (-2,5)
• (-2,-5)
• (2,-5)
• (2,5)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Are the points on the boundary line part of the solution set or not?

• Yes, they are part of the solution set
• No, they are NOT part of the solution set

Tags

CCSS.HSA.REI.D.12

Solve using substitution.
2x - 2y = 2
y = -5x + 14

• (4, 5)
• (2.5, 1.5)
• (1.5, 5)
• (1, 2.25)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which point is a solution?

• (0, 6)
• (-3, 4)
• (1, 0)
• (-4, 3)

Tags

CCSS.HSA.REI.D.12

Find the solution to the system
y = x - 1
y = 2x - 2

• (-3, 0)
• (-4, -3)
• (-3, 4)
• (1, 0)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.11

A system of equations that looks like this has ....

• infinite solutions
• no solution
• one solution 

Tags

CCSS.8.EE.C.8B

Solve using any method:
2x+3y=10
-2x+y=14

• (6,-4)
• (-4,6)
• (4,6)
• (6,4)

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6