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Bell ringer 9-5-17 1. What is a function?
2. What are 2 ways to determine if a relation is a function? 3. What is domain? What is range? 4. What do “a”, “h”, and “k” do? ex: f(x) = a|x-h|+k 5. What are the “special” piecewise functions?
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Systems of Equations & Inequalities
Tuesday, September 5, 2017
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NC Math 3 Review Classroom Procedures.
Review where to find Lessons -- on webpage and PowerSchool Learning (formerly Haiku) Review Emergency Procedures
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Systems of Equations & Systems of Inequalities
A system of equations is a set of two or more equations with the same variable values. To solve, you must find the values for each variable that will satisfy all equations in the system. A system of inequalities is a set of two or more inequalities with the same range of variable values. To solve, you must find the regions that overlap.
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Solving Systems of Equations
1. Graph the equations and determine where they intersect. 2. Solve by substitution. 3. Solve by elimination. 4. Solve by matrices.
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Example: Solve this system all 4 ways.
y = 6 - x -x + y = 4
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Solving Systems of Inequalities
You must GRAPH and see where they overlap. Remember, > or < is a dotted line because the values on the line are NOT included; ≥ or ≤ is a solid line because the values on the line are included. Remember, > or ≥ shade above; < or ≤ shade below.
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Examples
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Assignments Classwork: Solving Systems of Equations Homework:
Solving Systems of Inequalities
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Exit Ticket 1. Explain when you should use each different method to solve systems of equations. 2. What are the rules for solving systems of inequalities?
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