Bell Ringer(1/30/17): Inverse Functions Worksheet

Systems of Equations & Inequalities Monday, January 30, 2017

Week of Inspirational Math Day 5 Our Brains Think About Math Visually

If we dipped this cube in a bucket of paint… How many small cubes would have 3 sides painted? Two sides? One side? No sides? What about a 4 X 4 cube? A 5 X 5?

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?