Chapter 3 Section 3 Systems of Inequalities Algebra 2 Notes January 28, 2007

Warm-Ups  1) John has a total of 9 stamps, which consist of $0.25 and $0.02 stamps. His stamps have a value of $1.10. How many of each stamp does he have?  (Hint: Use a system of equations)  2) Graph each inequality:

Solving Systems of Inequalities Solve this system of inequalities by graphing:  Step 1: Put both equations into y = mx + b form  Step 2: Graph both inequalities on the same graph (using the correct line: dotted or solid)  Step 3: Shade in the correct direction for each individual graph

Solving More Inequalities  Solve the following inequality by graphing:

Word Problems  The SAT test has two parts, a verbal part and a mathematics part. You can score a maximum total of 1600 points. For admission a particular college requires a math score of at least 600. Write a system of inequalities that model scores that meet the school’s requirements.  Label your variables!!  Solve your system using your graphing calculator. What does the feasible region represent in this equation?

Where Do You Want To Go?  Chose a school from this list that you might think about attending after high school. Make a system of equations and graph it on your calculator to find all of the different combinations of math/verbal scores you could earn on the SAT to be accepted.  CSU: Average Reading score of 610  Texas A & M: Average Math score of 660  Michigan State: Average Reading score of 630  Arizona State: Average Math score of 620  Harvard University: Average Math score of 790

Solving a Linear/Absolute Value System  Graph the following two system of inequalities to find the solution.  What’s different about these systems?

Homework #14  Pg 136 #4, 5, 7, 8, 10, 11, 30-39, 47, Quiz on Friday!