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Number of Solutions to a System of Linear Equations Multiple Choice Test

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Number of Solutions to a System of Linear Equations

Identify the number of solutions (Infinitely Many, No Solution, or One Solution) based on the setup of a linear system.

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If two equations have the same slope and the same y-intercept, how many solutions do they have?

If two equations have the same slope and different y-intercept, how many solutions do they have?

If two equations have different slope and the same y-intercept, how many solutions do they have?

If two equations have different slope and different y-intercept, how many solutions do they have?

How many solutions would these two equations have: y=4x+7 AND y=4x-7

How many solutions would these two equations have: y=-3x+7 AND y=3x+7

How many solutions would these two equations have: y=-2x+9 AND y=9-2x

How many solutions would these two equations have: 2y=6x+10 AND y=3x+5

How many solutions would these two equations have: y-9x=15 AND 9x+y=21

How many solutions would these two equations have: 2x-3y=24 AND y=2/3x-8

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