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In this activity students will practice solving radical equations with one and two radical terms resulting in quadratics. The radical equations contain:

  • a monomial, a binomial and a trinomial under a radical symbol

  • one and/or two radical expressions on one side of the equation and a monomial or a binomial on the other side

  • radical expressions on the both sides of the equations (“radical equals radical”)

Half of the equations require squaring once and the other half – squaring twice.

Extraneous solutions are purposely NOT included, however partners will need to check their answers. The enjoyable part of this product is creating compound words corresponding to each solution set of the quadratic equations given.

Activity Directions: Partners start solving their own set of twelve equations. (They have similar type of problems so they will meet similar difficulties). Once students has found the solution set of each equation, they are given two tables to use. There is a word corresponding to each number written in table 1 . Using this table, students find which two words correspond to each solution set of their equations and make compound words. They record the solution set of each quadratic equation and write down the compound word corresponding to it in table 2 .

Students show down detailed solutions on student recording sheets specially designed for this activity. Answer keys are provided.

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