Lesson 1 - Chapter 6. Sections 6.1 - 6.2 - 6.3
Rational Expressions
To complete this lesson, read everything on these pages and follow the instructions that you find.
Note that there is a symbol of a CD under the title. This tells you that the CD that came with the text book has a tutorial lesson associated with this section.
Student's Opportunity to Ask Questions If after first reading and studying the examples you still experience difficulty in understanding any part of the lesson, contact the instructor by e-mail. If possible, the question will be answered by e-mail. If necessary, a chat session will be scheduled. Please do not hesitate to ask questions. It is the goal of the instructor to have all students succeed in mastering the material. It is important that you understand this lesson before moving to the next—for mathematics requires a working understanding of many different concepts. If the student fails to gain this understanding, this weak skill area may adversely impact performance in later studies or employment.
A second option is to use the tutorial service offered through Smarthinking.
Throughout the lesson, remember also that there are on-line resources, such as section quizzes, available at the textbook's web site.
SECTION 6.1 - MULTIPLICATION AND DIVISION OF RATIONAL EXPRESSIONS
ObjectivesAfter reading the lesson and working through the exercises, you should be able to perform the following objectives.
| 6.1A | To simplify a rational expression |
| 6.1B | To multiply rational expressions |
| 6.1C | To divide rational expressions |
Reading Assignment
| New vocabulary | rational
expression |
Rules | multiplying
rational expressions |
|
simplest
form of a rational expression |
dividing
rational expressions |
|||
reciprocal
of a rational expression |
Read all of section 6.1 in your textbook, Introductory Algebra.
Note 1: Be sure that the value of the denominator in a rational expression never has a value of zero.
Note 2: When simplifying, be sure the factors you cancel are exactly the same.
Note 3: When dividing fractions, invert and multiply.
At the end of each section there are examples followed by "You Try It." Do each of the You Try It's, comparing your answers to the solutions in S14 - S15 at the back of the book.
Lesson Assignment
After reading the section, work the exercises for the section - Pages 293 - 296, # 1, 3, 5, ... , 77 (odd numbers). Check your answers in A12 at the back of the book.
SECTION 6.2 - EXPRESSING FRACTIONS IN TERMS OF ThE LEAST COMMON MULTIPLE (LCM)
ObjectivesAfter reading the lesson and working through the exercises, you should be able to perform the following objectives.
6.2A To find the least common multiple (LCM) of two or more polynomials 6.2B To express two fractions in terms of the LCM of their denominators
Reading Assignment
New vocabulary least common multiple (LCM) of two or more polynomials Review Vocabulary prime factorizationRead all of section 6.2 in your textbook, Introductory Algebra.
At the end of each section there are examples followed by "You Try It." Do each of the You Try It's, comparing your answers to the solutions in S15 at the back of the book.
Lesson Assignment
After reading the section, work the exercises for the section - Pages 299 - 300, # 1, 3, 5, ... , 53 (odd numbers). Check your answers in A12 at the back of the book.
SECTION 6.3 - ADDITION AND SUBTRACTION OF RATIONAL EXPRESSIONS
ObjectivesAfter reading the lesson and working through the exercises, you should be able to perform the following objectives.
6.3A To add or subtract rational expressions with the same denominators 6.3B To add or subtract rational expressions with different denominators
Reading Assignment
Rules Rule for Adding fractionsRead all of section 6.3 in your textbook, Introductory Algebra.
At the end of each section there are examples followed by "You Try It." Do each of the You Try It's, comparing your answers to the solutions in S15 - S16 at the back of the book.
Lesson Assignment
After reading the section, work the exercises for the section - Pages 306 - 309 # 1, 3, 5, ... , 79(odd numbers). Check your answers in A12 at the back of the book
LESSON 1 TEST
You have now completed Lesson 1. At the end of each chapter, the textbook provides a summary of the material in the chapter, as well as some review exercises and a practice test. At this time the material should be pretty fresh in your mind, so you might want to leave these for review when if is time for the mid term and the final test.
I do suggest you write a practice test on the individual sections in the text book, and you can do this by going to the practice test web site put out by the publisher of the text book. This test is for practice only. The marks do not count towards your final grade.
If you do well on the practice test, then you are ready for the actual chapter test. When you are ready to write the lesson test click on the link below. I suggest that you print the test first, work on the printed copy, and then submit your answers. Good luck.
When you write the actual Lesson 1 test, the results are sent to Mr. Turco. He will review your answers and grade the tests, then send you a copy. Click below for the appropriate tests.