FULL GRE TEST 1: Quant Section A (Factorials, No. of Multiples in a Series, Inequalities & more!)

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  • Опубликовано: 27 авг 2024
  • Take a full GRE Test with a 340 Tutor. The first Quant section of a full-length GRE Exam. Pause the video to take the test with me interactively. Featuring questions covering Factorials, No. of Multiples in a Series, Inequalities and much more.
    www.mhpractice...
    I offer private GRE / GMAT tutoring online at a fixed rate of $140/hr. Please get in touch via the email below, or through my tutoring website: www.gretutorlo...
    Enquiries: philip@gretutorlondon.com
    The GRE and GMAT are two of most used graduate exams for those seeking to study a Masters Degree or Masters in Business Administration (MBA) degree. The Graduate Record Exam and Graduate Management Admissions Test have been taken for over 50 years and are taken by approximately 600,000 and 300,000 people worldwide annually, respectively. These exams are typically taken between the ages of 18-40, by those who have completed, or are about to complete, their Bachelors Degree.
    Business Enquiries: philip@gretutorlondon.com
    Grateful for any support: / testedtutor If you’re now ready to get into your dream MBA program, my former student, Angel, is offering virtual private Admissions coaching. She was admitted into Harvard Business School, The Wharton School of Business, and Columbia Business School (accepted into every school she interviewed for) after graduating from UCLA with a degree in Communication. She also got 3 perfect scores on the GRE’s Analytical Writing Assessment (99th percentile).
    Here is her link - linktr.ee/ange... - and you can reach her at angellinzhu@gmail.com with the subject line, “PHILIP SENT ME.”

Комментарии • 151

  • @wherethehellRmypants
    @wherethehellRmypants Год назад +3

    Thank you for posting such thorough videos! Retaking the GRE 7+yrs after my last math class and I'm feeling a lot more confident with your help.

  • @anishasharma1360
    @anishasharma1360 3 года назад +30

    Thanks a lot man! I mean so many things happened during my at home GRE. Lots of disconnection and then my laptop shut down😞. But I still managed to score a 320. Your videos were a huge huge help!! Especially the ones where you were solving the verbal and quant sections. My approach to the questions got a lot better

    • @TheTestedTutor
      @TheTestedTutor  3 года назад +5

      Thank you for the kind comment Anisha, after you have done your exam!

    • @cardiyansane1414
      @cardiyansane1414 2 года назад +1

      @Jackie you cannot . Buy an erasable white board 4*11 from Amazon… get the odor free markers , it’s a long 4 hours to be breathing in toxic fumes and a good eraser. Also practice using it before test day . It takes getting used to

  • @padmawagle9592
    @padmawagle9592 3 года назад +11

    Hi Philip, these test solving sessions are really helpful and I wish you do more in the near future because these tutoring sessions are giving us so many tips and shortcuts for the test day which we usually wouldn't get by simply taking a mock test on our own. I have a test coming up in 2 weeks and I am so glad I came across your channel.

    • @TheTestedTutor
      @TheTestedTutor  3 года назад +1

      Thanks for the comment Padma. I will do more, hopefully before your test

  • @sammiesaxgh4691
    @sammiesaxgh4691 2 года назад +4

    Much love from Ghana West Africa, my exams is in a few days and with your videos ,I'm confident that I will come out with flying colors. Thanks Philip, you are the best !

  • @melikanazari1306
    @melikanazari1306 3 года назад +6

    Getting close to my GRE test and you make my life easier 😇 😌 🤓 thank youuuuuu

  • @danielpainter8767
    @danielpainter8767 3 года назад +4

    30:06 love how the introduction to calculus & limits was more concise than my uni lecturer

  • @VITSG-sv3ip
    @VITSG-sv3ip 2 года назад +3

    Your explanation is very clear and quick sir. You are doing wonderful job.

  • @christina735
    @christina735 3 года назад +6

    You're SOOO kind! This was just the thing I was looking for! Thanks a million!

  • @annietruong94
    @annietruong94 2 года назад +4

    This was such a helpful video! Please do more of these. Thanks a lot for sharing your nuggets of wisdom.

  • @aryapage3910
    @aryapage3910 3 года назад +3

    Please do more of the McGraw Hill Tests. Your explanations are super useful. I'm doing the tests and using your videos to revise the questions I got wrong and improve on my overall strategy (both quant and verbal).

  • @josephineakubilla6405
    @josephineakubilla6405 3 года назад +2

    Thank you so much .. your videos are really helpful .. much much better than any of the videos I see here... keep the good work

  • @edwardblack9263
    @edwardblack9263 3 года назад +1

    these videos with full walkthroughs are amazing

  • @yashwanthramineni1219
    @yashwanthramineni1219 3 года назад +1

    Please do these kind of videos more often!!!!!

  • @muhammadidrees3701
    @muhammadidrees3701 3 года назад +3

    I went through all of the tests. For practice purpose they are good no doubt, but there are mistakes in questions plus they sometimes shuffle the verbal section's pattern to a non-standard form ( SC comes before TC etc).

  • @Bharathkrishnaa
    @Bharathkrishnaa 3 года назад +3

    Your videos are really helpful. Love from India 💖💖

  • @sandhyamohanr827
    @sandhyamohanr827 2 года назад +1

    Your explanation are really superab. thankyou for your valuable guiding

  • @mudimadugulalaxmiprasanna3581
    @mudimadugulalaxmiprasanna3581 3 года назад +3

    2:28 ....if we take the x term as negative... then also we can get the answer...so the answer A is greater isn't correct....it cannot be determined...

  • @rhythmsomaiya9993
    @rhythmsomaiya9993 3 года назад +1

    Great video! Will be taking my GRE on 12th Jan. and these type of videos help alot. Thanks again ;)

  • @angeljoushua2408
    @angeljoushua2408 8 месяцев назад

    question 8 the condition is a,b and k are greater than 0,so getting fractions aren't possible. they are positive numbers greater than zero so always A will be bigger. 3>2>1>0.
    thank you so much
    It's really helpful to spot my mistakes

    • @anthonyprotopapa6278
      @anthonyprotopapa6278 4 месяца назад

      can you explain this one to me if you don't mind?? I put answer D because when I did 0.3, 0.2, and 0.1 instead of whole numbers B was larger. I thought 0.3-0.1 are larger than 0 so that would imply. Why are fractions not possible?

  • @yashbane9354
    @yashbane9354 2 года назад +1

    Reasonably good questions

  • @williamwallace4080
    @williamwallace4080 3 года назад +2

    16:05 yeah that was the only question that I got "wrong." They used value y instead of usability y

  • @PerkiSubscribelikeshareyoutube
    @PerkiSubscribelikeshareyoutube 2 года назад +1

    Your test are very good love them nice practice video keep on doing it

  • @nidhimadugonda5770
    @nidhimadugonda5770 3 года назад +1

    Loved this. Could you please make more of these practice test videos?

  • @sapanapandeya6085
    @sapanapandeya6085 2 года назад +1

    Much love i loved ur videos alot...so inspired from ur videos

  • @ariellecat
    @ariellecat 3 года назад +4

    This is amazing. Thank you so much, Philip! My exam is less than a month away, and my last ETS Free Practice Test I scored 320 (V: 160; Q: 160). I would like to get 335+ and was wondering whether you have a schedule/tips/suggestions on how I can improve by score? Also, how representative is the my score from practice test to the actual GRE? Thank you so so much! *Subscribed*

    • @TheTestedTutor
      @TheTestedTutor  3 года назад +3

      Thank you arielle. Real test isn't that different, just a weird environment. Obvious tip would be to watch all my GRE videos but apart from that, go over every practice test mistake to ensure you wouldn't make the same mistake twice.

    • @ariellecat
      @ariellecat 3 года назад

      @@TheTestedTutor Appreciate it!

    • @kcpreddy6365
      @kcpreddy6365 2 года назад

      @@ariellecatI'm taking the test next month
      Can you please give some suggestions for verbal sections?????

  • @EverInBloomMusic
    @EverInBloomMusic 2 года назад +1

    You da man, brother!

  • @arukshitasood5758
    @arukshitasood5758 Год назад +1

    plssss do more such videos where you take tests - i scored 17/20 :)

  • @PerkiSubscribelikeshareyoutube
    @PerkiSubscribelikeshareyoutube 2 года назад +1

    Please can you do a video on finding multiples in a row *Inclusive*

  • @xSTNo
    @xSTNo 11 месяцев назад

    For question 8, although picking numbers is the way to go in a test, I find the proof intersting. For both quantities A and B, the difference between the numerator and denominator will be the same (lets call it z). Since a > b, a/b can be written as 1+ z/b, likewise quantity B can be written as 1 + z/(b+k). Now by comparing both quantities it is clear that A is bigger than B since z/b will always be bigger than z/(b+k), given that all variables are posotive.

    • @anthonyprotopapa6278
      @anthonyprotopapa6278 4 месяца назад

      can you explain this one to me if you don't mind?? I put answer D because when I did 0.3, 0.2, and 0.1 instead of whole numbers B was larger. I thought 0.3-0.1 are larger than 0 so that would imply. Why are fractions not possible?

    • @xSTNo
      @xSTNo 4 месяца назад

      ⁠@@anthonyprotopapa6278For 0.3, 0.2 and 0.1, Quantity A is still bigger than B. A = 0.3/0.2 = 1.5 while B = 0.4/0.3 = 1.33.
      Let me explain it differently, since a is greater than b, we can write a as (b +z), z being the difference between a and b.
      Now, Quantity A can be written as (b+z)/b or (1 + z/b).
      Quantity B can be written as (b+z+k)/(b+k) or (b+k)/(b+k) + z/(b+k) which is 1 + z/(b+k).
      Now compare both quantities: (1+z/b) vs (1+z/(b+k)). Remove 1 from both you are left with z/b vs z/(b+k).
      Since all numbers are positive and the numerator is equal in both quantities, the value with smaller denominator will always be greater i.e. z/b > z/(b+k).
      I hope it made sense 😅 although in a test you are better of plugging in numbers and examine carefully.

    • @xSTNo
      @xSTNo Месяц назад

      @@anthonyprotopapa6278even with your choices, Quantity A is greater. 0.3/0.2= 1.5
      0.4/0.3= 1.33
      I tried to explain further but I couldnt 😅 sorry

  • @abu.selim26
    @abu.selim26 3 года назад +2

    in section 3.. quest. no. 4 ........ circumference of the circle c/d = pi d / d = pi
    so Quantity A = pi , Quantity B = pi
    Answer is C (if the two quantities are equal)..
    Am I right brother?

  • @reidcunningham7417
    @reidcunningham7417 2 года назад +2

    On question 7, does that still apply for a vertical line with an undefined slope and a horizontal line with slope of 0?

  • @rebeccaayala9331
    @rebeccaayala9331 2 года назад +1

    Hi im new to your channel within minutes of seeing how well you explain the problems I know i will do really well in my GRE test. Im not ready for my test, however :(

  • @joelsabiti4828
    @joelsabiti4828 3 года назад

    For question 10, I do not think Y can be a negative integer because X & Y are multiplied to give a positive integer. It is the power to X and Y that is negative, so the solution is correct

  • @nikitachaudhari9167
    @nikitachaudhari9167 3 года назад +1

    Great Video Philip 👍

  • @codyellsworth7927
    @codyellsworth7927 2 года назад +1

    Excellent as usual. :-)

  • @AMIN_CHY
    @AMIN_CHY 10 дней назад

    Thanks for the explanation , Just started watching Regarding problem# 2 multiple of 9 ; Is 9 itself not the smallest multiple of 9 ? in that case the Numerator has to be [297-9] divided by 9 and then adding 1 which results in 33 which obviously is greater than 32 of Quant B. So answer A. Please tell me what is the flaw in my reasoning

    • @AMIN_CHY
      @AMIN_CHY 10 дней назад

      oh sorry realized my mistake it is between 10-100 . What that "inclusive" term entails? If there were no such term as inclusive, would the math have looked different?

  • @fabiangerstmeier2519
    @fabiangerstmeier2519 3 года назад +2

    Hey a short question to question 7. Why is the correct answer not D? We could have a vertical line (slope infinitely big) and a horizontal line (slope 0). the product is not defined but the lines will intersect at a 90 degree angle.

    • @saroha379
      @saroha379 Год назад

      dont confuse yourself. product of parallel line is 0 and perpedicular is -1.

  • @peterkapinos277
    @peterkapinos277 Год назад

    Thx for posting this. It helped a lot.

  • @jodyanderson3256
    @jodyanderson3256 3 года назад +1

    Please do a couple verbals

  • @anush9065
    @anush9065 2 года назад +1

    Hey Phillip the question 15 compares X and Y rt , so why is zxy not considered while finding the preference for X ? X is still ahead of Y

    • @saroha379
      @saroha379 Год назад

      there z is the preference not x

  • @sumaiyaaralima3563
    @sumaiyaaralima3563 3 года назад +1

    Thank you Sir.So kind of you

  • @pg3300
    @pg3300 2 года назад

    For Q3, why do you need any formula, as you said, 300/9=33.33, hence there are 33 multiples of 9 b/w 1 and 300, before 10, there's only 1 multiple of 9, just subtract 1 from the max number of multiples =32. It's so much easier and conceptual if you do this. But then again, to each his own.

  • @user-xr6hk8dt5p
    @user-xr6hk8dt5p 3 месяца назад

    Shouldn't the first answer be D as x can also assume the values, -8, -9, -10... Please clarify

  • @suzanerose9622
    @suzanerose9622 15 дней назад

    Would this be useful for someone taking the new version of GRE in 2024

  • @sandeeppenumuchu3778
    @sandeeppenumuchu3778 3 года назад

    In the product of slopes of two perpendicular lines question they didn't mention line Y is not a vertical line .So the answer should be cannot be determined

  • @DanHartwigMusic
    @DanHartwigMusic 3 года назад +2

    Quick Q on #6:
    38:12
    Why no mention of negative roots for sqrsts of 1, 3, 4?

    • @TheTestedTutor
      @TheTestedTutor  3 года назад +2

      Square root in gre must be positive...

    • @DanHartwigMusic
      @DanHartwigMusic 3 года назад

      @@TheTestedTutor Thanks! I wasn't aware of that!

  • @olut1407
    @olut1407 5 месяцев назад

    Thanks for the lovely video

  • @witamarchaves1613
    @witamarchaves1613 2 года назад

    20:49 this question is confusing because it states that "x/y > 1"; however, it´is misleading....

  • @r.williams8349
    @r.williams8349 3 года назад +1

    Thank you for the video! Picked up more tricks from this video, thanks for showing us those secret tricks to save that little extra bit of time.

  • @tomasenglish1391
    @tomasenglish1391 2 года назад +1

    For question 7, what if the slope is 0 and undefined? Is the product still -1?

    • @sneakyduck7062
      @sneakyduck7062 Год назад

      For what its worth, I had the same thought. No clue if that counts though.

  • @sohampaul4968
    @sohampaul4968 2 года назад +1

    For question 7 I understand that the slope x times slope of y gives you -1 due to them being reciprocals of one another. However, what about if the slope of x is horizontal and the slope of y is vertical? Is this case not considered because the vertical slope is undefined? Or is the product of them zero? Thanks

    • @thangtruong1416
      @thangtruong1416 Год назад

      yeah i just wonder that

    • @saroha379
      @saroha379 Год назад

      overthinking. perpendilcular slopes product is -1 always.

  • @frsourov6431
    @frsourov6431 3 года назад +2

    Do you work for scholarden?
    I found your voice in almost every TC and SE questions!

  • @cachondorider
    @cachondorider 11 месяцев назад

    for #19 why choose 10 , and not another number like 20? explained

  • @akanibokette6302
    @akanibokette6302 3 месяца назад

    Thanks so much

  • @DerrickTEfie
    @DerrickTEfie Год назад

    Hi,
    Thanks for your very helpful videos. I have a problem with the answer to quant section, question 5. You said there were 6 possibilities of z, but I think there are only 3 (8, 9, or 10). z can not be negative because the question says +8 is ≤ z (so +8 cannot be ≤ -8).
    S I think the right answer is C.
    Please correct me if I'm wrong.
    Thanks

  • @aryananchan5764
    @aryananchan5764 9 месяцев назад

    You are the best!

  • @zak_bangash
    @zak_bangash 3 года назад

    Sir, can you give the exact details of that previous video, that is, "THE QUESTION YOU SAID AT THE START OF THIS VIDEO WHERE YOU WENT WRONG", so as WE ALL MAY NOT KEEP MAKING THAT MISTAKE OVERANDOVERAGAIN.
    I shall be profusely grateful for this clarification.

  • @papaaa24
    @papaaa24 2 года назад +2

    Sir could you please suggest me the best book for the preparation? And the latest book.

  • @kevinagee4364
    @kevinagee4364 3 года назад +2

    "not too bad if you enjoy pie charts." you mean to tell me there are people out there in the world who don't enjoy pie charts

  • @SnapStats247
    @SnapStats247 2 года назад

    In the question 18 I double checked it but putting the number 4 then increasing it to 6. The numbers didn't add up to 4 times.

  • @palashdesai5993
    @palashdesai5993 3 года назад +1

    Idk Phillip, i scored 19/20 here, but not able to score in my real test, wish me luck, 3rd May it is!

  • @amirman6531
    @amirman6531 3 года назад +1

    Great. New subscriber

  • @isabelrunge
    @isabelrunge Год назад

    For Q7, lines x and y intersect to form a 90 degree angle, what is the slope of one line was Zero (horizontal line)? Wouldn't that then cause the product of the slopes to be Zero?

  • @abbyrivas2608
    @abbyrivas2608 2 года назад +1

    Thank you for this! Very helpful. How would you rate the difficulty of these questions?

  • @serendibitysrilankavacatio7720
    @serendibitysrilankavacatio7720 3 года назад +1

    Thanks for the video! Why do you do the odd numbered questions first?

  • @tanyabuckley9421
    @tanyabuckley9421 3 года назад +1

    Hi Philip. Great video. On question 12, when you cross multiplied why did you switch the inequality? There was no negative number. Thanks!

    • @TheTestedTutor
      @TheTestedTutor  3 года назад

      I was just writing the inequality the other way round, I didn't change anything mathematically. Hope that helps.

  • @Abhineet08
    @Abhineet08 3 года назад +1

    Question 13) 23×2 is 46 not 56 you made an error there, but the logic was correct it will be 18×2

  • @anasputhawala6390
    @anasputhawala6390 3 года назад +1

    Is the LAV principle mentioned particularly for cubes? Or does it work with other 3D figures? Does the figure even have to be 3D? Could you briefly explain it please?

  • @adityapahwa89
    @adityapahwa89 2 года назад

    The bigger value here is 10-300, shouldn't the big value be 290 instead of 300? Resultingly, divide 300 by 9 for biggest multiple.

  • @noemiebouteyre543
    @noemiebouteyre543 3 года назад +1

    Could you please explain question 18 more in depth :)

    • @TheTestedTutor
      @TheTestedTutor  3 года назад

      Would love to Noemie but would take a full video! It comes down to the length, area and volume of similar shapes always having a scale factor of x, x squared and x cubed respectively.

  • @Walker_D7
    @Walker_D7 3 года назад +2

    I'm currently pursuing my B.E in Civil (final year).. I wanna do my MS abroad on Environmental Engg.. Can you recommend a good University if possible!? (not in the US)

    • @TheTestedTutor
      @TheTestedTutor  3 года назад

      Not sure, sorry D! Not my area of specialty

    • @Walker_D7
      @Walker_D7 3 года назад

      @@TheTestedTutor That's alright.. Thanks for your awesome videos btw.. :)

    • @edwardblack9263
      @edwardblack9263 3 года назад

      @@Walker_D7 EPFL, ETH, TUM, top European polytechnics

    • @Walker_D7
      @Walker_D7 3 года назад

      @@edwardblack9263 TUM has been in the list.. I'd mostly prefer Germany I guess.. Btw appreciate your suggestions..

    • @swetha4844
      @swetha4844 2 года назад

      Target canada

  • @thetransferaccount4586
    @thetransferaccount4586 Год назад

    is quant on real GRE this easy? i don't think so

  • @enjoy9772
    @enjoy9772 3 года назад

    Couldn't a horizontal line have slope zero and the vertical line a slope undefined. Making the answer D?

  • @anujmore7547
    @anujmore7547 2 года назад

    Hi Philip, As you said at 28:00 what is similar question appears in exam and in this case if some students answer 5 and some answer -1. So in this case what will ETS do? Please do reply.

  • @jack-ci8je
    @jack-ci8je 2 года назад +1

    Thanks sm!

  • @gmailaccount3105
    @gmailaccount3105 3 года назад

    In Q 15 10:15 mins - 34 % is what percent greater than 16% - Here you simply subtracted and wrote 18% . Why not 34-16/16*100(What percent greater than formula). Like in the previous full length mock test we had a similar q(% change in profit line graph ques) 366.66% is what % greater than 21.4% . There we applied 366.66-21.4/21.4 * 100 =1600%. Why you did this one differently like subtracted directly . I am confused please explain

    • @casperkun2915
      @casperkun2915 3 года назад

      They are asking the number of consumers not the percentage change so it’s 34%(1000) -16%(1000) which is 180
      (In case of the previous one it’s the percentage change which is greater or lesser )

  • @7starsaksham
    @7starsaksham 3 года назад +1

    Hello Sir
    I want to give GMAT/GRE in feb 2021.But is confused which to give. Which exam is easier in difficulty and so that I pick easy exam and boost my score?My quants skills are greater than My verbal.
    Please help.

  • @sush.rinush
    @sush.rinush 3 года назад +1

    do you have any resources on free practice tests online that are similar to the real one ETS gives for gre?

  • @yashkamble6902
    @yashkamble6902 3 года назад +1

    No way this is damn easy and can give false hopes before actual gre

    • @TheTestedTutor
      @TheTestedTutor  3 года назад

      Not damn easy, there are 12-15 questions that could come up on the real test. And even the easy ones, in the real exam you need to answer them quickly as I demonstrate here, to save time for the harder ones. Also, do check outmy recent Magoosh quant walk-through if you want a harder test.

  • @dejeneable
    @dejeneable 3 месяца назад

    -3 is not prime factor of 72, so -3 will not work, only 3,2 works, not -3,2

  • @colleenmadden11
    @colleenmadden11 3 года назад +1

    In regard to easiness/difficulty, would this be on the easier side of a real GRE?

    • @TheTestedTutor
      @TheTestedTutor  3 года назад

      Similar, but for the wrong question or two

  • @TDmayis
    @TDmayis Год назад

    23 x 2 is not 56. In minute 8:44

  • @amirman6531
    @amirman6531 3 года назад

    32:52 isn't the ans C here. Coz here it is asked, circumference is c= "pi.d" and then, c/d = pi
    So both quantity are equal.. isnt this possible??

    • @adeptusmechanicus1023
      @adeptusmechanicus1023 2 года назад

      I've also thought the same but in the question it's mentioned circle c and not circumference. However even I think they meant c to be circumference most likely and hence thought of option C

  • @AyeNguyeN
    @AyeNguyeN 2 года назад +3

    I’m not really understanding, I think you’re not really explain and just working it out and expecting everyone to understand or be on the same page as you.

    • @TheTestedTutor
      @TheTestedTutor  2 года назад +1

      Explaining fully is for all my other videos

  • @prottoyhasan7563
    @prottoyhasan7563 3 года назад +1

    I got 16 in this test. I have a target around 165 in the main test. How far am I from my target? Can you tell me?

  • @b3ast407
    @b3ast407 2 года назад

    Is the lvl of ques same in real exam?

  • @cardiyansane1414
    @cardiyansane1414 3 года назад

    i am half way through and have gotten every single question wrong...even the ones that seemed easy even to me i somehow screwed up...any advise/hope for me? is there anyone out there who sucks as much as i do ? or should i just give up and climb back up the church tower where i belong

    • @TheTestedTutor
      @TheTestedTutor  3 года назад +1

      Don't say that Cardi! Remember this is a Graduate test taken mostly by students from STEM backgrounds. So they may have had several year headstart on you. Everyone starts in a different place and has a different journey, yours may just take longer or may take a different route. But I do believe everyone can improve substantially.

    • @cardiyansane1414
      @cardiyansane1414 3 года назад

      @@TheTestedTutor thanks for encouragement Philip! I’m going to cry ... I study so hard , every little chance I get : I stay up late , wake up early, during commutes ; and I work full time . My test is in September and maybe I’m already experiencing burnout ? Anyway I’m going to keep going!!

  • @raihans2991
    @raihans2991 Год назад

    I feel dumb 😢and my test is tomorrow. Oh gosh

  • @vmalyadrireddy3798
    @vmalyadrireddy3798 2 года назад +1

    Is there any negative marks in gre

  • @alsabahk6
    @alsabahk6 Год назад

    18:05
    Me on every question.

  • @tasnimsarker4653
    @tasnimsarker4653 2 года назад

    Your videos are helpful, are you using ETS questions in this video?

  • @stephenadams5223
    @stephenadams5223 9 месяцев назад

    Youre wrong for #7. Its only -1 if the perpendicular lines are non vertical. The correct answer is not enough info.