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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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Lesson Plans and Worksheets for Algebra I

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More Lessons for Algebra I

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.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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