Algebra 2: Rational Expressions and Equations Review Please use this review to prepare for your test. You also have Khan Academy(Rational Expressions) and iTutoring(Algebra 2, Chapter 10: Rational Expressions and Equations, Lessons 1-12) to help you review. You can also use your TEXTBOOK to study(Chapter 8 PAGES 569 - 609, pay attention to examples and see if you can work some of the exercises and check your answers using the back of the book). Study the following topics: -
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STUDY WORD PROBLEMS Pgs 569 – 572 o Study Examples 1, 2, 3, 4 o Understand the differences between Constant, Direct and Inverse Variations o SUGGESTED PRACTICE: pgs 569 – 572: #s 1, 2, 3, 4, 5 6a, 6b. Answers on back of textbook. o SUGGESTED PRACTICE: pgs 573 – 575: ODD PROBLEMS. Answers on back of textbook. Pgs 577 – 580 o Study Examples 1, 2, 3, 4, 5 o Know how to simplify rational expressions. Know how to find exclusions(what make the denominator equal ZERO). Exclusions are what your variable CANNOT equal to. o NOTE: Multiplying Rational Expressions(pg 578) o SUGGESTED PRACTICE: pgs 577 – 580: #s 1, 2, 3, 4, 5 6a, 6b. Answers on back of textbook. o SUGGESTED PRACTICE: pgs 580 – 582: ODD PROBLEMS. Answers on back of textbook. Pgs 583 – 587 o Study Examples 1, 2, 3, 4, 5, 6 o Know how to add or subtract rational expressions with LIKE DENOMINATORS o Know how to find LEAST COMMON MULTIPLE o Know how to add or subtract rational expressions with DIFFERENT DENOMINATORS. HINT: LCD o Simplifying COMPLEX FRACTIONS. TIP: Write legibly and organize your solution. Work one piece at a time. o SUGGESTED PRACTICE: pgs 583 – 587: #s 1a, 2a, 2b, 3a, 3b, 4a, 4b, 5a, 5b, 5c, 6. Answers on back of textbook. o SUGGESTED PRACTICE: pgs 588 – 590: ODD PROBLEMS. Answers on back of textbook. Pgs 592 – 596 o Study Examples 1, 2, 3, 4, 5 o Know how to use transformations to graph rational functions(pg 592) o Study/Note: Rational Functions(pg 593); Know discontinuous and continuous functions. o Study/Note: Zeros and Vertical Asymptotes(pg 594); Horizontal Asymptotes(pg 594) o Know how to find ZEROS, VERTICAL ASYMPTOTES and HORIZONTAL ASYMPTOTES(You may want to review how to identify the DEGREE of a function) o Study/Note: Holes in Graphs(pg 596) When do HOLES happen? o How do vertical asymptotes affect your domain? How do horizontal asymptotes affect your range? o How do holes affect your domain and range? o SUGGESTED PRACTICE: pgs 592 – 596: #s 1a, 1b, 2, 3, 4a, 4b, 4c, 5. Answers on back of textbook. o SUGGESTED PRACTICE: pgs 597 – 599: ODD PROBLEMS. Answers on back of textbook. Pgs 600 – 604 o Study Examples 1, 2, 3, 4, 5, 6 o What is a rational equation? What is extraneous solutions?(pg 600)
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STUDY/NOTE: See the REMEMBER Boxes(pgs 600, 601, 604) What is rational inequality? SUGGESTED PRACTICE: pgs 600 – 604: #s 1a, 1b, 1c, 2a, 2b, 3, 4, 5a, 5b, 6a, 6b. Answers on back of textbook. SUGGESTED PRACTICE: pgs 605 – 607: ODD PROBLEMS. Answers on back of textbook.
o Pg 609 o Quiz for Rational Expressions and Equations HINTS for the TEST: o You may want to try working out WORD PROBLEMS on the EXERCISES pages after each section. You will see similar questions on your test. o Test will have anywhere from 15 to 25 items. Some graphing, basic concepts and word problems. o Practice organizing how you write your solutions. I need to see ORGANIZED and LEGIBLE solutions. o Be ready to see some throwback questions: QUADRATICS, domain and range, etc. STUDY and BE PREPARED. Don’t wait until the last minute to study.
- HOMEWORK(Khan Academy): This would be good practice for SOLVING RATIONALS. o Solving rational equations 1(DUE Thurs, 3/6) o Solving rational equations 2(DUE Thurs, 3/6) o Extraneous solutions to rational equations(DUE Thurs, 3/6)
