Linear Equations and Systems

There are 50 donkeys and chickens on a far.  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

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

This system has _____ solutions

• 0
• 1
• 2
• Infinitely many

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Solve using substitution.
x - 2y = 2
3x + 4y = 3

• (1.4, -0.3)
• (3.1, 5)
• (-2.5, 3.5)
• (6.9, 1.02)

Tags

CCSS.HSA.REI.C.6

Determine if (3, 2) is a solution for the system of equations.

y = -x + 5

y = 2x - 6

• yes

• no

What is the solution to this system of equations?

• (4, -1)
• (-1, 4)
• (-4, 1)
• (-4, -1)

Tags

CCSS.HSA.REI.C.6

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

Does the system have one, none or infinite solutions?

8x + 4y = 12

y = -2x + 3

• One solution (0,3)

• One solution (3,0)

• No solution(parallel lines)

• Infinitely many solutions

Which graph represents $2x-5y=-10$  

• 
• 
• 
• 

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

Which graph represents the table?

• 
• 
• 
• 

Tags

CCSS.8.F.A.1

CCSS.8.F.A.2

CCSS.8.F.B.4

What is the x-intercept of  $5x-10y=30$  

• x = -10

• x = -6

• x = 6

• x = -3