3 Variable Systems

The solution of a system of three linear equations in three variables, x,y, and z, is called a(n) ___________________ (x,y,z).

• Ordered Pair
• Integer
• Ordered Triple
• Sum

Tags

CCSS.HSA.REI.C.8

CCSS.HSA.REI.C.9

A student in solving the following system of equations using the elimination method. Explain what their first step would be if they wanted to eliminate the y variable from equations (i) and (ii).

• They would multiply equation (i) by 3 and equation (ii) by 4.

• They would multiply equation (iiI) by 4.

• They would multiply equation (i) by -3 and multiply equation (ii) by 4

• They would multiply equation (i) by 3

Erin is 3 years younger than twice Alex's age. Their ages combined are 33 years. How old are Alex and Erin. If x=Erin's age and y=Alex's age, choose the system that matches the situation.

• x + y = 33
  y = 2x - 3
• x + y = 33
  x = 2y - 3
• x + y = 33
  x = 3 - 2y
• x + y = 3
  x = 33 - 2y

Tags

CCSS.HSA.CED.A.3

This system has _____ solutions

• 0
• 1
• 2
• Infinitely many

Tags

CCSS.8.EE.C.8B

What is the solution?

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

Tags

CCSS.8.EE.C.8B

The solution of a system of linear equations is...

• the y-intercept (b)
• the intersection of the two equations on a graph
• the second equations' answers
• the slope (m)

Tags

CCSS.8.EE.C.8B

There are 15 animals in a barn.  These animals are horses and chickens.  There are 44 legs in all.  Which system of equations represents the situation?

• x + y = 15
  4x + 2y = 44
• 4x + 2y = 15
  x + y = 44
• x = 2y + 44
  4x = y + 15
• 2x - 4y = 44
  x - y = 15

Tags

CCSS.HSA.CED.A.3

The sum of two numbers is 14. The larger number is 2 less than three times the smaller number. Which system could be solved to find the value of these numbers?

• x+y=14
  y=3x-2
• x+y=2
  3x-2y=14
• x+y=14
  y=2-3x
• x+y=14
  y=3x+2

Tags

CCSS.HSA.CED.A.3

Solve the system of equations: 

• ( 4, 2, -1)
• ( 4, 3, -1)
• None of these
• ( -4, 3, 1)

Tags

CCSS.HSA.REI.C.6

How many solutions does the following system of equations have?

• No Solution

• Infinitely Many Solutions

• One Solution

• Cannot Be Determined

Tags

CCSS.8.EE.C.8B