Unit 4 Review Session

Unit 4 Review Session

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Number of Solutions for a system of equation

• Remember a system of equations has three solutions possibilities

• 1 solution, meaning there is one point of intersection for the two lines on a graph or one ordered pair that solve both equations.

• 0 solutions, meaning no point on the graph is shared by the two lines and no order pair solves both equations

• Infinite many solutions, meaning every point is shared by both lines and that both equation share all the same ordered pairs.

System of equation graph

• On the graph a system with 0 solutions will have parallel lines

• On the graph of a system with 1 solution there will be one intersection of the lines

• On the graph of a system with infinite many solution, there will appear to be two line on top of each other appearing as one line.

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Multiple Choice

How many solutions will this system have?

• One
• Two
• No Solution
• Infinitely Many Solutions

Multiple Choice

A system of equations with infinitely many solutions will have lines that...

• are the same

• cross in one place

• are parallel and never touch

Multiple Choice

A system of equations with one solution will have lines that...

• are the same

• cross in one place

• are parallel and never touch

Multiple Choice

A system of equations with no solution will have lines that...

• are the same

• cross in one place

• are parallel and never touch

Multiple Choice

What is the solution?

• One Solution
• No solution
• Infinitely Many Solutions

Multiple Choice

How many solutions?

• One Solution
• No solution
• Infinitely Many Solutions

Number of Solution for a system-Equations

• For 0 solution, your equations with have equal slopes (number next to x) and different values of Y intercepts (number by itself)

• For 1 solution, your equations will have different slopes and the Y intercept will not matter.

• For infinite many solutions, your equation will have equal slopes and y intercepts.

Multiple Choice

How many solutions are there?

y = 4x + 3

y = 4x - 2

• 0

• 1

• IMS

Multiple Choice

How many solutions are there?

y = 3x + 5

y = - 3x - 2

• 0
  

• 1

• IMS