Learning Resources

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Outcomes

By the end of this lesson you will be able to answer questions like the ones in the pre-test below. 

Approach #1

Answer the questions on the pre-test below in your Math 3103 binder. Then refer to the pages of the lesson that contain instruction on the questions you were unable to do, for which you got an incorrect answer, or for which you would like some further explanation.

Approach #2

Proceed directly to the first page of the lesson without attempting the pre-test. To do this simply click on the Lesson button above. You can then return to this pre-test later and use it as a worksheet.

Pre-test

Solve each of the following equations:

1.                                                2.       

3.                                     4.   

5.                                  6. 

7.                               8.

Answers

Students will be expected to:

  • Solve equations involving radicals and determine extraneous roots.

Introduction

This section consists of one lesson as follows:

Lesson 01 Solving Equations Involving Radicals
In this lesson you will solve equations that have the variable under a radical sign. You will be introduced to the concept of extraneous roots and see the necessity of checking all solutions by substituting them back into the original equation.

Prerequisites

To be successful in this lesson, it would be helpful to know the following:

  • Definition of radical.
  • How to add, subtract, multiply and simplify algebraic expressions.
  • How to add, subtract, multiply and simplify radicals.
  • How to solve linear and quadratic equations in one variable.