Exploring Number of Solutions of Equations

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Exploration

GR. 6-8

Skill:

Determine whether a linear equation has one solution, infinitely many solutions, or no solution.

Exploring Number of Solutions of Equations

Look for clues to determine whether linear 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.

Multiple-choice question 1

The equation  has:

A
No solution
B
One solution
C
Infinitely many solutions

Multiple-choice question 2

The equation  has:

A
No solution
B
One solution
C
Infinitely many solutions

Multiple-choice question 3

The equation  has:

A
No solution
B
One solution
C
Infinitely many solutions

Open-ended question 1

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

Text and math input

Open-ended question 2

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

Text and math input

Open-ended question 3

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

Text and math input