208 systems with circles - Math 3 208 Systems of Circles...

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Math 3 – 208: Systems of Circles Name: _____________________________ Lesson adapted from Carnegie Learning Math 3 Student Textbook 1 Essential Question: How can we solve a system of equations that involves a circle? BUILDING BLOCKS Earlier this year we discussed solving systems of linear equations, such as the system + - = - = 5 8 2 x y x y . What are some different methods that can be used to solve this system of equations? How many different solutions will this system have? How do you know your answer is true? Solve the system . INVESTIGATION Let’s think about a system of equations involving a line and a circle How many different solutions could this system have? Sketch a graph of a system that has that number of solutions. If there are multiple possibilities, make multiple sketches. Solving Graphically For each system, sketch the circle and the line on the grid below. Estimate the solution to the system of equations. Check each solution using the original equations. . 1. - = = + 5 2 25 2 2 x y y x
Math 3 – 208: Systems of Circles Name: _____________________________

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