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Slide 1: Opening Assignment
How do you graph a linear equation and inequality?
Slide 2: Smith Project Reflection
What did you do well as a team? What would you do differently? What was difficult/confusing about the project?
Slide 3: Systems Assessment
Systems test is on Wednesday Assessment will cover:
Definition Types of Solutions Recognizing a Solution Solving systems Modeling a system
Slide 4: Systems Assessment Review
Definition
A system of equations/inequalities is two or more equations or inequalities
Example: Ax + By = C
Dx + Ey = F
Example: Ax + By > C
Dx + Ey < F
Slide 5: Systems Assessment Review
Solution of two linear equations
None (parallel) One (intersecting) Infinite (same line) Looking at a graph Placing the solution into the original equations
Recognizing a solution to a system
Slide 6: Systems Assessment Review
Methods to solve a system
Graphing Substituting Elimination Creating equations from a given situation like the smith project
Modeling a system
Slide 7: State the solution to the graph
Slide 8: State the solution to the graph
Slide 9: State the solution to the graph
Slide 10: State a solution to the graph
Slide 11: In-Class Practice Problems
Students graph the following problems and state the solution:
y = 1/2x - 5
y = 1/2x + 3
y = -5 - x
x + 3y = -15
x-y>3
y < 15
Slide 12: Home Practice Problems
Students graph the following problems and state the solution:
y = -2x - 7
y = 2x + 8
x > -7
y < 10 x<y
Slide 13: What is the solution to the graphed system of equation?
A. B. C. D.
(2,2) (-2,2) (-2,-2) (2,-2)