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?
Systems of Equations & Inequalities Tuesday, September 5, 2017
NC Math 3 Review Classroom Procedures. Review where to find Lessons -- on webpage https://www.wsfcs.k12.nc.us/Page/74866 and PowerSchool Learning (formerly Haiku) Review Emergency Procedures
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.
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.
Example: Solve this system all 4 ways. y = 6 - x -x + y = 4
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.
Examples
Assignments Classwork: Solving Systems of Equations Homework: Solving Systems of Inequalities
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?