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

Simplify each of the complex fractions in exercises 1 to 6.

1.                                   2.                          3. 

4.                             5.                    6. 

7. For the rectangle below, express the shaded area as a fraction of the total 
    area. Express the answer in simplest terms.

Answers

Students will be expected to:

  • Simplify, add, subtract, multiply, and divide rational expressions.
  • Use the four basic operations to simplify complex fractions.
  • Solve equations involving rational expressions and determine extraneous roots.

Prerequisites

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

  • How to factor polynomials.
  • How to reduce rational expressions to their lowest terms.
  • How to multiply and divide rational expressions.
  • How to find the LCD of two fractions.
  • How to add and subtract rational numbers.
  • How to add and subtract rational expressions.