end of year review | homework (day 2) real numbers and...

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Name ________________________________________________ Date ___________________ Class _________ End of Year Review | Homework (Day 2) Real Numbers and Exponential Functions Simplify each expression. Write with positive exponents. Show all work. 1. 9 ! ! 2 ! 2. ! ! ! 3. !"! ! ! !! !! !! ! ! 4. !!! ! ! ! ! !! ! ! ! Evaluate each product or quotient. Express the results in both scientific notation and standard form. 5. 2.8 × 10 !! 7.7 × 10 ! 6. !.! × !" ! !.! × !" !! 7. Write an explicit equation for the nth term of the given sequence: 3, 9, 27, 8. Write a recursive equation for the nth term of the given sequence: 18, 29, 40, 51,

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Page 1: End of Year Review | Homework (Day 2) Real Numbers and ...pollardmath.weebly.com/uploads/1/0/7/3/10736895/2018_day_2.pdf · End of Year Review | Homework (Day 2) Real Numbers and

Name________________________________________________Date___________________Class_________EndofYearReview|Homework(Day2)RealNumbersandExponentialFunctionsSimplifyeachexpression.Writewithpositiveexponents.Showallwork.1. 9𝑡!𝑛! −2𝑡𝑛! 2. 𝑤!𝑦! !3.!"!

!!!!

!!!!!!

4. !!!!!!

!

!!!! ! Evaluateeachproductorquotient.Expresstheresultsinbothscientificnotationandstandardform.5. 2.8 × 10!! 7.7 × 10! 6. !.! × !"!

!.! × !"!!

7.Writeanexplicitequationforthenthtermofthegivensequence:−3, 9,−27,…8.Writearecursiveequationforthenthtermofthegivensequence:18, 29, 40, 51,…

Page 2: End of Year Review | Homework (Day 2) Real Numbers and ...pollardmath.weebly.com/uploads/1/0/7/3/10736895/2018_day_2.pdf · End of Year Review | Homework (Day 2) Real Numbers and

Name________________________________________________Date___________________Class_________EndofYearReview|Homework(Day2)RealNumbersandExponentialFunctions9.Determinetheamountofaninvestmentif$700isinvestedataninterestrateof8%

compoundedmonthlyfor9years.10.Anewweldingmachinevaluedat$38,000depreciatesatasteadyrateof9%peryear.Whatis

thevalueoftheweldingmachinein10years?11.Findthefirstthreetermsofthesequence:𝑎! = 3, 𝑎! = 2 𝑎! ! ! + 4, n ≥ 2 Betweenwhichtwointegersarethefollowingnumberslocated?(Forexample, 5isbetweenintegers2and3.)12. 813.− 28Classifyeachnumberasrationalorirrational.Explainyourreasoning.14.1015.𝜋16. 717.−7.47518.0.12112111211112…19. 14420.8.6755555555…21.!

!

Page 3: End of Year Review | Homework (Day 2) Real Numbers and ...pollardmath.weebly.com/uploads/1/0/7/3/10736895/2018_day_2.pdf · End of Year Review | Homework (Day 2) Real Numbers and

Name________________________________________________Date___________________Class_________EndofYearReview|Homework(Day2)RealNumbersandExponentialFunctions22.Graphtheexponentialfunction.Statethey-intercept,thedomain,andtherange. 𝑦 = −2 3! + 5y-intercept:______________________domain:__________________________range:____________________________23.Writeanequationforthegivenfunction.Statethey-intercept,thedomain,andtherange.

y-intercept:________________________domain:____________________________range:______________________________equation:___________________________