Week 7 Algebra Assignment: Da : p. 494 #- odd, -, 8- Da : pp. 496-497 #-9 odd, -6 Da : pp. 0-0 #-9 odd, -, -9 Da 4: p. 09 #-4, 7- Da : pp. - #-9 odd Notes on Assignment: Page 494: General notes for this section: When adding rational epressions when the denominators are the same, follow these steps:. Add or subtract and place the result over the common denominator.. Factor the denominator and numerator of our answer.. Simplif the epression if possible. #-: Write the problem putting the numerators together over the common denominator as dictated b the addition or subtraction. Simplif as needed. #8-: Answer as directed. #7: Make sure that when ou get our final answer, ou factor the numerator and denominator and then cancel if possible. #8-: These epressions all need simplifing. Wh? Pages 496-497: General notes for this section: When adding rational epressions, follow these steps:. Factor all denominators.. Find and write down the LCM least common multiple of all of the denominators.. Multipl each fraction times in the form of n n in order to get the LCM in the denominator of each fraction. 4. Add or subtract and place the result over the common denominator.. Factor the denominator and numerator of our answer. 6. Simplif the epression if possible. Week 7
Week 7 Eample: Factor denominators: LCM = Use the LCM to get a common denominator: Simplif the numerators and put over the common denominator: 4 Factor and cancel if possible: #-9: Write the problem down, factoring the denominators as ou do. Show the work as directed in the general notes for this section. #-: Show work #6: steps #-9: You can leave answers in factored form. #: Clear the parentheses b putting the eponent on each factor of the product within the. Then simplif. #4: Write our border equation, graph it dotted or solid and then test to see which side to shade. #6: This is a -step problem. Start with the angle that ou know the least about.
Pages 0-0: General notes for this section: When ou subtract there is one simple step to remember: Change the subtraction into addition b changing into + -. Then ou work the problems the same as in the last lesson. Eample: 7 must be changed to 7. Remember to put the +7 in since we need to subtract the entire quantit. It ma be helpful to put a in front of the so ou have: 7 Now multipl to clear the in the numerator and continue the problem: 7 #-9: Write the problem down, factoring the denominators as ou do. Show the work as directed in the general notes for the past section and this section. #-9: Answers onl #: When the denominators are the same ecept the subtraction order is reversed, multipl one of the fractions b. So for this problem, first change the subtraction to addition b changing the to a + and then putting a up on the 0. Then multipl the nd fraction b. #6: Write the nd term the over so that all of the terms have denominators. #7: Remember to put around the +9 in the numerator right awa. #8: Remember to put around the binomials in the numerators right awa. #: Remember to put around the trinomials in the numerators right awa. Week 7
Week 7 4 Page 09: General notes for this section: There are methods for working out this tpe of problem: Method : Take the numerator, get a common denominator, and add/subtract to get a single fraction. Then take the denominator and do the same to get a single fraction. Then write the division as multiplication and solve. Method : Find the LCM of all of the denominators within the comple fraction. Multipl the comple fraction b LCM LCM and simplif. Eample: Simplif Method : Simplif the numerator: Simplif the denominator: Put these back into the fraction to get: Change the division into multiplication and simplif: Method : Find the LCM of the individual denominators: Multipl the comple fraction b
It ma help to look at this problem like this: As we usuall do when we multipl through to clear fractions, it is helpful to actuall write the beside each term, like this: Cancel and simplif: #-4: Choose either method outlined above and show our work. #7-: Answer as directed. #-6: Write the comple fraction as division using the smbol. Then change the division to multiplication b flipping the nd fraction. #4: Write the denominator over so that each fraction within the fraction has a denominator. #7-4: You can use either of the methods above for these problems. Pages -: Chapter Review no notes. All problems: Show work as ou did throughout the assignments in this chapter. Week 7