Precalculus Final Exam Review

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  • Опубліковано 19 січ 2025

КОМЕНТАРІ • 285

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  2 роки тому +26

    Get The Full Video: www.patreon.com/MathScienceTutor
    Direct Link to Part 1: bit.ly/3tedsUp
    Direct Link to Part 2: bit.ly/3jvlsNl

  • @joshualim8838
    @joshualim8838 3 роки тому +1583

    The one person who disliked just liked but reflected over the x axis.

  • @brax300
    @brax300 Рік тому +533

    Well boys, I did. I passed my pre calc final w 86%. Near the top of my class.
    I went from barely graduating highschool, ( all D’s, and I was in like freshman grade math at senior ) To complete turnaround in the last few years. I’m now working on a chemistry major, and couldn’t be happier. Men like this ( organic Chem tutor ) make it possible for me to follow my dreams. Giving me the help I desperately need. So, here I am thanking you OCT. you’re the man, and without your help I wouldn’t be where I’m at now! I’ll see you in a few weeks for trigonometry videos 😅

    • @ripfrickingben
      @ripfrickingben Рік тому +20

      congrats dude, genuinely proud of you. work hard and chase your dreams

    • @creativename4276
      @creativename4276 Рік тому +7

      congrats 🎉, right now i’m in high school (freshman), starting pre cal later this school year and im preparing right now. Any tips?

    • @brax300
      @brax300 Рік тому

      @@creativename4276 nice job buddy. You’ll do awesome.
      My tips for precalc are: make sure your factoring is up to date. Sum of cubes, difference of cubes, perfect square, all of it. etc etc. and just watch these types of videos if you get stuck. Some new ideas are introduced in precalc, transformations, zero theorem, series, graphing asymptotes. Etc. So just don’t sit at one problem for hours if you can’t figure it out. Search it up, or ask someone, and move on. But the factoring thing is huge, for you do it almost every single problem in almost the whole class. If you don’t know long and synthetic division, maybe brush up on that. Although they go over it as well.
      Overall, it’s an easy class. Just a lot of info. You got this buddy!!

    • @Lucas-sv3pp
      @Lucas-sv3pp Рік тому

      I took precalc my junior year in high school. So dang man, nice. As for tips for precalc, don't overthink it. I'm assuming you're in advanced math, and already took something like algebra/trigonometry. Precalc is practically the same as that, but in a little more depth. Just use your time to understand all of the concepts as well as possible, as you'll rely on them in both calc 1 and calc 3. Calc 2 is it's own beast lol. Final tip, if possible, memorizing the unit circle is very helpful, but not necessary.@@creativename4276

    • @jab376
      @jab376 Рік тому

      Good job

  • @joshyoutube8569
    @joshyoutube8569 3 роки тому +404

    Gen chem 1 and precalc right now, I cannot stress how much you’ve helped me this semester. And this video just now getting posted? Came in clutch I hope COVID has helped you and you have been able to help everyone else in online school during COVID.

    • @lorenzovonmatterhorn4756
      @lorenzovonmatterhorn4756 3 роки тому +8

      i did that in the past. i lost 40 pounds that semester

    • @aaronleib745
      @aaronleib745 3 роки тому +6

      Im going into Chem 101 and Pre-calc this semster.

    • @hannankhattak389
      @hannankhattak389 3 роки тому +2

      Did u pass on chem

    • @hannankhattak389
      @hannankhattak389 3 роки тому +1

      @@lorenzovonmatterhorn4756 how u did on chem

    • @lxmon
      @lxmon Рік тому +1

      lol same comp sci major hbu
      althought ur probably about to head into ur last year

  • @Jus4fun-mg5xg
    @Jus4fun-mg5xg Рік тому +63

    It is currently 11:14 a.m. my exam is at 1:30 p.m., only got about an hour/hour and a half to study cause I got to travel there. WISH ME LUCK PEOPLE!

    • @Iris_Sunset
      @Iris_Sunset Рік тому +5

      Good luck! (A little late Ik)

    • @castaben
      @castaben Місяць тому +1

      What did you make bro?

    • @Jus4fun-mg5xg
      @Jus4fun-mg5xg Місяць тому

      @@Iris_Sunset Thanks, and congrats, I’ve seen you’ve passed also.

    • @Jus4fun-mg5xg
      @Jus4fun-mg5xg Місяць тому +2

      @@castaben Damn how a year flies bro, ended up with a B+. Could’ve done better, but it is what it is. Least I passed. I assume you’re watching this video cause you got a Pre-Calc exam coming up. If so, good luck.

    • @castaben
      @castaben Місяць тому

      @@Jus4fun-mg5xg that’s good to hear, and yes I do in less than an hour

  • @gluebroken2369
    @gluebroken2369 Рік тому +171

    Thanks dude, i got B+ for my pre-calculus exam all just from binge watching your videos, 4 days before the exam.

    • @BingW369
      @BingW369 Рік тому

      @@bahjvhghj3917what??? You could have told him to get an A+. A and B+ suck.!!

    • @axstin-
      @axstin- Місяць тому

      thats wassup dude, ima do the same

  • @mohamedwael6181
    @mohamedwael6181 Рік тому +61

    07:02 This video is a review for PreCalculus final exam questions.
    14:04 Understanding properties of logarithms, including negative exponents and change of base formula.
    21:06 Converting logarithmic equations to exponential and using exponential growth formula for investment problems.
    28:08 Illustrates power of compounding for long term savings
    35:10 Negative numbers inside a square root give imaginary numbers.
    42:12 Factoring out the greatest common factor for a rational function and writing the domain in interval notation.
    49:14 Explaining how to evaluate logarithmic equations and composite functions.
    56:11 Graph absolute value and exponential functions using transformations and domain and range.

  • @radicalraccoon9280
    @radicalraccoon9280 3 роки тому +410

    Am I in Precalc? No. Am I liking the video still? Yes.

  • @djhamean6165
    @djhamean6165 3 роки тому +168

    I have my semester 1 final for Precalc in about 2 hours! This has taught me more than my teacher has!

    • @yxgxrt6968
      @yxgxrt6968 2 роки тому +12

      mine is my year final and its in like 15 hours😅

    • @kellyreigh
      @kellyreigh 2 роки тому +2

      lmao got my final in 2 hours and just starting the video

    • @forschool1864
      @forschool1864 2 роки тому

      did y’all pass?

    • @lalaorange5398
      @lalaorange5398 Рік тому

      Geuss not

  • @ardet7383
    @ardet7383 Рік тому +18

    People like you make the world a better place. Thank you for caring. Thanks for teaching us strangers. You are a legend.

  • @blakemills6801
    @blakemills6801 Рік тому +12

    Thank you for posting this, you explain things really well

  • @extr0ve43
    @extr0ve43 10 місяців тому +2

    Thanks I am going to pre calc next year as I'm in 8th grade rn. This looks pretty simple! Thanks for helping other people including me. I may have to watch ur videos next couple years in highschool

  • @addie6400
    @addie6400 9 місяців тому +12

    I'm a college student. I've been focusing so much on chemistry that I was behind in precalculus and finals week is here. I've been stressing so much about it, but I found this video. Thanks for making it!

  • @jakeschairbaum5114
    @jakeschairbaum5114 3 роки тому +97

    taught me more the in this video than the whole year of class. thx bruv

  • @stampedegaming9016
    @stampedegaming9016 2 роки тому +27

    This stuff really works. I struggled with calc all my life and finally got it through this video and the videos on Patreon, definitely worth it! Thank you again!

  • @TheWebb46
    @TheWebb46 2 роки тому +18

    I actually have tears in my eyes you just made me learn everything about log in less than an hour yet my class last year left me confused and behind in log alone.

  • @Iris_Sunset
    @Iris_Sunset Рік тому +5

    Just got an A for my overall grade in my college precalc class, thanks! I had a hard time in 10th and 11th grade math but this video was great for filling in the gaps. I was scared I would fail the final exam so I’m very surprised but y’all this did actually help a lot. I for some reason struggled with log and natural log equations bc I never grasped it in the last few years

  • @terawinter9337
    @terawinter9337 2 роки тому +22

    I'm actually using this to review before I start taking AP Calc BC :) Super helpful, thanks!

  • @stevesattler2459
    @stevesattler2459 3 роки тому +52

    Used one of your other UA-cam videos, Pre-Algebra Final, to help my son get into Honors Algebra as a 6th grader. Great problem selection and explanation. Looking forward to use this one to work with my oldest son.

  • @LF58888
    @LF58888 3 роки тому +25

    instead of a whole book, this is a really good review..... like I dont have to do 50 videos in a playlist wasting 10 hours for a review

  • @alexisalvarez2722
    @alexisalvarez2722 3 роки тому +103

    POV: you are watching this 15 minutes before your final exam

  • @kellyreigh
    @kellyreigh 2 роки тому +54

    i take my final in 2 hours so i hope this helps 🤞🏽😩 definitely gonna know more than i did before watching thank you so much for the help!!

  • @ianjustus324
    @ianjustus324 2 роки тому +6

    Got spring assessment coming up and dint know that was a thing. This helped so much. Thanks

  • @goawaybrisney
    @goawaybrisney 3 роки тому +69

    Watching this depressed me a tiny bit given that… I just took my final today. If I had just watched even this small portion of your exam review! I probably wouldn’t have made the mistakes I know i did. Almost all of your questions lined up exactly with what was on this final.. wild 🙃

  • @sethirwin8029
    @sethirwin8029 2 роки тому +8

    This is so much better than my professor trying to teach through broken English that I can barely understand

  • @Biterluv
    @Biterluv Рік тому +7

    This man is gonna get me through college

  • @justhiro6675
    @justhiro6675 3 роки тому +34

    I don't even understand pre cal but here I am.

    • @tranhoangminh5262
      @tranhoangminh5262 3 роки тому +5

      you will learn it in your year 10 add maths, good luck

  • @phil1pd
    @phil1pd Рік тому +3

    For question 8 use Vieta's formulas which relate the coefficients of a polynomial to the sums and products of its zeros. For a cubic polynomial f(x) = ax^3 + bx^2 + cx + d, the sum of its zeros is given by -b/a. In this case, a = 1, and b = -3, so the sum of the zeros of the polynomial is -(-3) / 1 = 3

  • @jxon2554
    @jxon2554 Рік тому +3

    Been watching these videos for a while and it really helps since i cant focus in class when I'm easily distracted. I'll give an update on how it was my finals in 5 days

    • @T-6900
      @T-6900 9 місяців тому +1

      we want the update

    • @jxon2554
      @jxon2554 3 місяці тому +1

      @@T-6900 im really late lol. I got an 86 cuz i messed up some equations. i passed the class😁

    • @T-6900
      @T-6900 3 місяці тому

      @@jxon2554 yesss 💪 you did a lot better than me 😅 im in ab calc now

  • @penguinammo
    @penguinammo 2 роки тому +4

    you dont understand how much this is helping me. my finals are this week and I'm trying to study as hard as I can XD

  • @CottageCheese77
    @CottageCheese77 Рік тому +9

    Watched this the night before my final and got a 92!

  • @yara3254
    @yara3254 3 роки тому +11

    your voice is soooo calming

  • @brixgalvez1890
    @brixgalvez1890 3 роки тому +13

    a quick way to solve the sum of the roots of the cubic polynomial on 21:59 would be -b/a where b is the coefficient of the x² term and a is the coefficient of the x³ term.
    additional info: the product of the roots would be -d/a where d is the constant.

    • @georgepapakostas7292
      @georgepapakostas7292 3 роки тому

      Awesome but why does this work?? I’m really curious

    • @aidanl3105
      @aidanl3105 3 роки тому

      uh who what when where why and how

    • @peelysl
      @peelysl 2 роки тому

      Vieta here again

  • @linnhtetaung736
    @linnhtetaung736 Рік тому +2

    Thank you!
    I am taking University entrance exam tomorrow .they said I need to have a high school level knowledge of math and they give guidelines: logic, matrix, function, logarithms, trigonometry and graphing.
    I think this is enough to review before my test.
    P.s I am away from my studies like 3 years and now trying to get into university. I believe it will help

  • @georgesadler7830
    @georgesadler7830 3 роки тому +10

    MR. Organic Chemistry Tutor, thank you for a fantastic Precalculus Final Exam Review. These math problems are fun from beginning to end.

  • @fryghostkick1099
    @fryghostkick1099 5 місяців тому +2

    All stakes are high in my precalc class, im so close to passing but just one percentage off, im going to no life it tomorrow and the next day, Thursday's my final exam, wish me luck.

  • @MohamedWael-o1k
    @MohamedWael-o1k Рік тому +2

    07:02 This video is a review for PreCalculus final exam questions.
    14:04 Understanding properties of logarithms, including negative exponents and change of base formula.
    21:06 Converting logarithmic equations to exponential and using exponential growth formula for investment problems.
    28:08 Illustrates power of compounding for long term savings
    35:10 Negative numbers inside a square root give imaginary numbers.
    42:12 Factoring out the greatest common factor for a rational function and writing the domain in interval notation.
    49:14 Explaining how to evaluate logarithmic equations and composite functions.
    56:11 Graph absolute value and exponential functions using transformations and domain and range.
    Crafted by Merlin AI.

  • @dougd120
    @dougd120 2 роки тому +6

    It is important to learn these things a few times to catch up on basic fundamentals of.

  • @Aminmotors
    @Aminmotors 3 роки тому +2

    I don't usually sub to people but u deserve it.

  • @jntwo5244
    @jntwo5244 2 роки тому +3

    Tenks -Estrada, Caballo, Delos Reyes, Babia

  • @rassulkaden271
    @rassulkaden271 3 роки тому +8

    I think you should mention in 47:39 that the reflection go first then 3 units up, because it was a bit confusing when you reflected the graph not by Ox, thank you

    • @christianbegg3265
      @christianbegg3265 3 роки тому

      Thanks!

    • @parkerwillis1108
      @parkerwillis1108 2 роки тому

      ya, graphing order of operations is always left/right, then anything immediately associated with “x” (reflections, absolute values within a function), then stretches and compressions, then at the end up/down

  • @elise7650
    @elise7650 8 місяців тому +3

    my ap precalc exam starts in 3 hours thanknyou for this

  • @renewd
    @renewd Місяць тому +1

    For question 8, I find it easier to use synthetic division to find the first root, instead of plugging numbers into the function.

  • @thatweirdscienceguy9880
    @thatweirdscienceguy9880 3 роки тому +15

    I LOVE YOU FOR THIS!!! AND NO, THAT IS NOT AN UNDERSTATEMENT!!

  • @pierrebelmont1112
    @pierrebelmont1112 3 роки тому +1

    bought 2 of your Black Pullover Hoodies because you are a force for good and deserve recognition from all of us! Thank you!

  • @abbasabdulameer9233
    @abbasabdulameer9233 Місяць тому

    شكرًا

  • @oscarcastillo7528
    @oscarcastillo7528 3 роки тому +10

    taught me more than my actual professor but part 2 is for members only and I'm not gonna pay for that

  • @DearJosie-t3d
    @DearJosie-t3d 2 роки тому +2

    very helpful, i cant imagine what would my grade look like if I didn't see this video

  • @grjoe4412
    @grjoe4412 3 роки тому +8

    For problem #3 you could use a log with a base 3. Then you don't need a calculator.

  • @moriarteaholmes3511
    @moriarteaholmes3511 2 роки тому +8

    I'm watching this 2 hours before mine I'm so scared for the exam.... I'm in first semester uni dying over testing anxiety

  • @kalkidanteklu8269
    @kalkidanteklu8269 3 роки тому +5

    Thankyou very much you are a great help I have improved a lot on my marks all because of your videos

  • @NothingToSeeHere314
    @NothingToSeeHere314 Місяць тому +1

    POV you have two exams tomorrow and you don’t even remember why letters are in math

  • @louieavila3987
    @louieavila3987 Рік тому

    got my pre calc 1 final this thursday!

  • @FunFactopias-Facts
    @FunFactopias-Facts 2 роки тому +1

    I have mine this Wednesday. Will let everyone know how it goes!!

  • @laraesutherland6429
    @laraesutherland6429 Рік тому

    Thanks, OG. Bro saved me from complete failure.

  • @nikoflow_fm9541
    @nikoflow_fm9541 2 роки тому +1

    Final exam tomorrow. Let’s do this. 🤙🏻

  • @WEEBLE_FORCE
    @WEEBLE_FORCE Місяць тому

    19:01
    For this problem i think you added extra steps
    Could have just divided by two, then made one logarithm

  • @justshanestuff
    @justshanestuff Місяць тому +2

    Weird, most of my Precalculus final exam is trigonometry

  • @sherryberret9746
    @sherryberret9746 Рік тому

    Thanks for all the super helpful videos!

  • @danny_devito777castro2
    @danny_devito777castro2 8 місяців тому +4

    Pray for me guys i need to pass this exam in order to pass the class

  • @shrankai7285
    @shrankai7285 2 роки тому +3

    Going to take pre-calc this year, and most of this stuff feels like Algebra 2 review

  • @sigmatheta9399
    @sigmatheta9399 3 роки тому +5

    ngl I watched this like, 10 hours before my pre-calc exam

    • @davidgreen7628
      @davidgreen7628 3 роки тому

      How’d u do

    • @sigmatheta9399
      @sigmatheta9399 3 роки тому +2

      @@davidgreen7628 barely passed but honestly its better than failing. At least now I can take calc and improve on where i went wrong

  • @AzerFarnsworth
    @AzerFarnsworth Рік тому +2

    Nah cause like this dude teaches more in an hour than a teacher in a semester. Plus I don't even think I have seen an ad

  • @ttrixyn
    @ttrixyn 8 місяців тому +1

    its like midnight and im boutta take this final exam in a couple hours im so cooked 💀

  • @wyattbull07
    @wyattbull07 6 місяців тому +2

    i’m taking a test in 2 hours to skip precalc this is helping a lot. need an a 😂

    • @dd3854
      @dd3854 6 місяців тому +1

      I pulled my hair the whole video stressing. I wish I was born a genius but oh well🙃

  • @ezekiellavezzi7978
    @ezekiellavezzi7978 Рік тому +1

    I don't know if anyone's ever told you this before but you sound just like Matt Stonie, it feels like he's the one teaching me this 😂

  • @biancamaego
    @biancamaego 2 роки тому +5

    I remember watching this and got an A studying last minute

  • @rezanhammo3224
    @rezanhammo3224 Рік тому +1

    im late for my exam, i just wish i had watched this yesterday

  • @scarmackd1498
    @scarmackd1498 3 роки тому +7

    Looking at these while in IM3, nothing really seems hard here, I just don't know the rules and vocab yet. Guess calculus will start to be hard, this won't :D

    • @boogersugar2988
      @boogersugar2988 2 роки тому

      This is hard bc of all the bullshit involved

  • @roiplayzrbx7715
    @roiplayzrbx7715 2 роки тому +3

    Thanks so much bade!! - Delos Reyes KHAHDKHAKDHHAHAH

  • @SethKadam-j7v
    @SethKadam-j7v Рік тому +1

    for question #7, why do we not convert 40 years to months, or 12 months to one year? Does a problem not require the time units to be the same?

    • @adamaviation6236
      @adamaviation6236 10 місяців тому +1

      The ratio is per year, so 12 times per year is every month. 0.09%, 12 times per year for 40 years essentially

  • @germane9098
    @germane9098 2 роки тому

    Thank you, this helped so much.

  • @ElPlaybookdelNuevo
    @ElPlaybookdelNuevo 3 роки тому +7

    Can you make one for Chemistry 1 and calculus 1?

  • @kewixi
    @kewixi 7 місяців тому

    alrighty time to cram since i threw my last test and now i need a good grade on my final

  • @Iddy267
    @Iddy267 3 місяці тому

    Since 80% of our pre-calculus exams rely on tools like Python or GeoGebra, the recent change in exam format-removing 50% of the first half and incorporating it into the much larger second half-means that many of the topics covered in this video are irrelevant for me and others in the same situation. We're allowed to use any 'non-communication' tools available, including certain websites, but this makes the content less useful.
    I would appreciate it if you could provide videos focusing on topics related to digital tools like GeoGebra, integration, and vectors, especially addressing more complex problems that cannot be solved without these digital resources.

  • @isassasinbro
    @isassasinbro 3 роки тому

    YO, your videos... THANK YOU!!!

  • @brittanyhancock5946
    @brittanyhancock5946 Рік тому

    31:03 doesn’t it need to be < not

  • @Selina-pm2cw
    @Selina-pm2cw Місяць тому

    currently 6AM, final is at 8, gonna watch this video twice

  • @lw7604
    @lw7604 3 роки тому +6

    Am i not supposed to learn this until 13 years? Yes, am i writing this down and liking and understanding it? YESSSSSSSSSSSSDD 🥳🥳
    Edit: ty fir 1 like!

  • @kleineklasseschule9972
    @kleineklasseschule9972 Рік тому

    Great video!

  • @user-wv5ys2fq8n
    @user-wv5ys2fq8n 7 місяців тому

    This guy needs to start holding math events so we can meet him 😭😭😭

  • @YERAIMY
    @YERAIMY 8 місяців тому +1

    Im a chemistry major and I have a final on this class. I don’t understand anything 😖

  • @jupiterisalive
    @jupiterisalive 6 місяців тому

    thank you this is very helpful

  • @fabianousim6716
    @fabianousim6716 2 роки тому

    thank you for saving another innocent life who is getting ready for foundation math

  • @cyberwolf5075
    @cyberwolf5075 Рік тому

    Thay whole log section explained a lot.

  • @roxxe2808
    @roxxe2808 Рік тому +1

    starting this video knowing nothing about pre-calc. I have my exam in 4 hours. let's see how much I can pull off:)

  • @lindseyxia2167
    @lindseyxia2167 2 роки тому

    i really really hope that this will help with my precalc exam cuz im so screwed

  • @constantinelinardakis8394
    @constantinelinardakis8394 2 місяці тому

    4:53 inverse function

  • @SuperYoonHo
    @SuperYoonHo 2 роки тому +1

    Thank you!

  • @mhagi24
    @mhagi24 Рік тому

    I used to be great at this stuff but after live events and 7 years outta a learning environment, I suck greatly and am back at UA-cam wisdom

  • @UnavoidableGarbage
    @UnavoidableGarbage 10 місяців тому

    Time stamp 52:36

  • @好吧-h6k
    @好吧-h6k 3 роки тому +3

    Needs more trig in this

    • @EchoLocoCJ
      @EchoLocoCJ 2 роки тому +2

      Did you hear what he said at the beginning of the video?

  • @CatNoir314
    @CatNoir314 3 роки тому

    My final is Thursdays praying I remember 😁

  • @ryanaerts1554
    @ryanaerts1554 8 місяців тому

    not me just starting to study 2 minutes before my exam

  • @jaewonkim22
    @jaewonkim22 4 місяці тому

    Thank you so much

  • @cheddach33se78
    @cheddach33se78 Рік тому

    At 3:21 does anybody understand why he cross multiplied and what the rules are for cross multiplication?

    • @teliz10
      @teliz10 10 місяців тому +3

      cross multiplying is basically multiplying the denominator by its reciprocal on both sides. Ex: 1/4 = x ---cross mulyiply 4x=1 or mulyiply both sides by 4 to get rid of the fraction. This only works if there is a fraction in the equation.

  • @angelinaharshaw7679
    @angelinaharshaw7679 2 роки тому

    3:40 why do we switch the x and why?

    • @southgamer2154
      @southgamer2154 2 роки тому +1

      To solve for the inverse, and finding the inverse is simply swapping the x and y coordinates.

    • @masterblaster1676
      @masterblaster1676 Рік тому +1

      You want to solve for y in terms of x

  • @yuss8749
    @yuss8749 Рік тому

    studying for an accuplacer and using this to review

  • @Abdibaye
    @Abdibaye 3 роки тому +2

    HI.you are my 1st teacher in this world,i love you so much.
    and i want to your help because i want follow your full video tutorial but your full video is need money for member but a have no money pleas pleas help me.

  • @calibandigames4925
    @calibandigames4925 Рік тому

    My precalculus professor doesn't teach so I'm using the last 6 weeks to study on UA-cam, thank you!