In this resource, students will practice solving rational equations reducible to quadratics using three types methods for solving:
Cross Multiplying
Multiplying by the LCD
Factoring to find the LCD
This activity includes monomial, binomial, and trinomial denominators. The problems have a varying degree of difficulty. This product was not intended to include extraneous solutions. All the equations have two distinct real solutions (rational and irrational). The amusing part is creating compound words corresponding to each solution set of the rational equations given.
Activity Directions: There are 18 problems total, separated into two sets.
Partners start solving their own set of three groups of three equations by a specified method and check for extraneous solutions. 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 rational equation and the compound word corresponding to it in table 2 .
Student recording sheets are specially designed and provided for this activity. Answer keys are included.
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