Systems of Linear Inequalities
Things to remember:
Dotted Line v. Solid Line
When to shade above the line, when to shade below the line:
Graph the solution set for the following system of linear inequalities.
1. [pic]
2. Write the equations for the system shown below.
A. [pic] B. [pic]
C. [pic] D. [pic]
3. Which graph represents the following system of inequalities?
[pic]
A. [pic] B. [pic]
C. [pic] D. [pic]
Systems of Linear Equations – Word Problems
Steps:
1. Define two variables
2. Write two equations
3. Solve the system using substitution or elimination
4. Answer the question with a sentence
a.) A grain storage warehouse has a total of 30 bins. Some hold 20 tons of grain each, and the rest hold 15 tons each. How many of each type of bin are there if the capacity of the warehouse is 510 tons?
b.) Kerry asked a bank teller to cash a $390 check using $20 bills and $50 bills. If the
teller gave her a total of 15 bills, how many of each type of bill did she receive?
Homework:
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Keystone Review – Systems of Linear Equations
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