Creating and Solving Quadratic Equations (Geometry Problem Sets)

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This document presents students with twenty geometry problems for which they must determine the unknown dimension(s) based upon a described relationship. The problems require that they first assign a variable to represent the unknown(s), write a quadratic equation, solve the quadratic equation, and then determine the required dimension(s).

While the majority of the resulting quadratic equations are of the form x^2 + bx + c, there are several which are of the form ax^2 + bx + c whereby "a" can be factored out. Two problems (#4 and #6 of Problem Set 2) result in quadratic equations of the form ax^2 + bx + c in which "a" cannot be factored. There are also several problems in which the quadratic terms cancel, resulting in linear equations.

Although students could use the quadratic formula in solving any of the resulting quadratic equations, all of the equations can be solved through factoring.

Full solutions are provided for all of the problems. The document is in Word and can be modified should you like.

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Creating and Solving Quadratic Equations (Geometry Problem Sets)