This activity practices solving rational equations reducible to linear by cross multiplication method. The types of equations included are described in details in the preview file. All coefficients and almost all of the solutions of the equations are integers.
Activity Directions: In task 1, partners are notified that each pair of their problems (A1, B1), (A2, B2) and the rest have solutions of opposite signs. Students reduce the rational equations to linear using the cross multiplication and solve for the variable. They compare answers with each other to check if they have solved the equations properly.
In task 2, partners are given another set of rational equations. This time they must determine the root of which of the equations of one partner is opposite in sign to the root of randomly chosen equation of the other partner. Solving each of their equations ( by cross multiplying ) and comparing the solutions will help partners to find out which pairs of equations have solutions of opposite signs.
There is else one extra question. Partners need to find out which of another rational equations given have no solution.
Partners response sheet and student recording sheets are specially designed and provided for this activity. All answer keys are included as well.
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