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Exploring Number of Solutions of Equations

Look for clues to determine whether equations have 0, 1, or an infinite number of solutions in this activity.

Putting It All Together

Answer these open ended questions on your own or with others to form deeper math connections.

The equation  has:

Select all that apply
  • A
  • B
  • C
Check my answer (3)

The equation  has:

Select all that apply
  • A
  • B
  • C
Check my answer (3)

The equation  has:

Select all that apply
  • A
  • B
  • C
Check my answer (3)

Fill in the blank with a number that will result in the equation having no solution:  

Fill in the blank with a number that will result in the equation having one solution: 

Write an equation that will have infinitely many solutions. How do you know it has infinitely many solutions?