# Applications of Systems of Equations and Inequalities

Videos and solutions to help Algebra I students learn how to solve systems of equations and inequalities.

New York State Common Core Math Module 1, Algebra I, Lesson 24

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Common Core For Algebra I

Student Outcomes

Students use systems of equations or inequalities to solve contextual problems and interpret solutions within a particular context.

Exit Ticket

1. Andy’s Cab Service charges a \$6 fee plus \$0.50 per mile. His twin brother Randy starts a rival business where he charges \$0.80 per mile, but does not charge a fee.

a. Write a cost equation for each cab service in terms of the number of miles.

b. Graph both cost equations.

c. For what trip distances should a customer use Andy’s Cab Service? For what trip distances should a customer use Randy’s Cab Service? Justify your answer algebraically and show the location of the solution on the graph.

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