# of Solutions - In a system of equations

# of Solutions - In a system of equations

by Amy Grant

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Multiple Choice

• Yes

• No

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Multiple Choice

• Yes

• No

Open Ended

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Multiple Choice

Which is an example of One Solution?

• y = x -1 & y = x-1

• y=3x-1/2 & y = 5x + 7

• y = 9x -1 & y = 9x + 2/3

• y = x & y = x

Multiple Choice

Which is an example of Infinitely Many Solution?

• y = x -1 & y = x -1

• y=3x-1/2 & y = 5x + 7

• y = 9x -1 & y = 9x + 2/3

• y = x & y = 5x + 124

Multiple Choice

How many solutions will this system have?

• No Solution

• Infinitely Many Solutions

• One solution

• Two Solutions

Multiple Choice

How many solutions will this system have?

• No solution

• One Solution

• Infinitely Many Solutions

Multiple Choice

What is the definition of no solution?

• The slopes are different. The lines intersect at 1 point.

• The slopes are the same, and the y-intercept are different. the lines are parallel.

• The slopes are the same, and the y-intercepts are the same. The lines are the same.

Multiple Choice

How can you tell if a point is a solution to a system?

• It makes the first equation true.
• The (x,y) coordinates satisfy both equations
• It makes logical sense
• It makes neither equation negative

Multiple Choice

How many solutions will this system have?

• One
• Two
• No Solution
• Infinitely Many Solutions

Multiple Choice

If a system of equations has no solution, what does the graph look like? 

• intersecting lines
• parallel lines
• skew lines
• intersecting lines

Multiple Choice

If a system of linear equations has one solution, what does this mean about the two lines? 

• Parallel lines
• the same line 
• Intersecting lines