This activity practices:
• solving radical equations with one square root
• solving linear and quadratic equations by square root method and factoring
The radical equations contain:
* a monomial and/or a binomial and/or a trinomial under a radical symbol
* a radical expression on one side of the equation and a number(rational and irrational) on the other side
All the equations are set up to square both sides. The problems do not have extraneous solutions, however students must check all solutions.
Activity Directions: Partners will each have their own set of problems grouped into sections. They are given a radical term and a box with numbers in each section. Students are instructed to make the radical term equal to each of these numbers and then to solve all the equations obtained. THE MAIN task is partners to find out two equations with the same solution(set) for each of their corresponding sections.
Students write down the solutions of the problems on the recording sheets provided. They check for extraneous solutions. Then partners record their answers in a table on a group response sheet also provided and mark the equations with the same solution for each of their corresponding sections.
All answer keys are included.
I have included a bonus as well – a booklet with full solutions of the problems and a variant of homework.