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, 53-55
3.1-3.3 Quiz on Friday!