Here’s how I did your question. it took my 40 seconds to read and get the solution. 2 things you need to know here in my method. The sum of the zeros of a quadratic is=-b/a. Additionally, the x cord of the AOS can be calculated by adding two x values that have the same y value (k and 2k) and then dividing by 2. (K+2k)/2=1.5k. Now we know the x value of the AOS is 1.5k We also know that -b/2a is equal to the x value of the AOS. we know that the ratio between the sum of the roots to the x value of the AOS is 2:1 ( -b/a and -b/2a) meaning that the sum of the roots is equal to 3k and is also equal to 18 as given so k is equal to 6

@SetteleTutoring

28 күн бұрын

Yes! Nice job! This is the way that I was alluding to in my video. I think this is probably the fastest way to solve it, and I think the vertex/AOS formula is extremely helpful for lots of these types of questions. But I want to stress to anyone who struggles with these questions that the Plug Points Into Equations strategy should still be your first instinct. Maybe something faster pops into your head too, but you can’t wait around for that moment of insight to occur. Sometimes it never does! PPIE gives us a reliable entry into a wide variety of questions, which is what makes it so powerful. It’s better to get moving on a question quickly, even if it means a slightly less efficient overall solution. You’ll get better at finding the shortcuts if you get better at forcing your way through with simple strategies and trusting that you’ll eventually stumble your way to the answer. Once again, nice job on this explanation!

@tobyk3680

24 күн бұрын

Can you explain where you got -b/2a from? And how does this root ratio allow us to set it to 3k? Thanks

@invertfnm304

24 күн бұрын

@@tobyk3680 it is a known math ratio that -b/2a is equal to the x point of the vertex (aka the AOS). We also know that the AOS can be found by using any 2 points on a parabola that have the same y value( same height). This is because, directly between 2 coordinates that have the same y value, you will always find the AOS. So using this knowledge, we know the AOS is directly between the coordinates with the x value k and 2k, meaning that our AOS is 1.5k. So that’s how we know that -b/a is equal to 1.5k

@invertfnm304

24 күн бұрын

Sorry I meant to say that -b/2a is equal to 1.5k. -therefore -b/a is equal to 3k. -b/a is also equal to the product of the roots which the question says is equal to 18. Meaning k=6

@fvehed

22 күн бұрын

Perfect approach. This is also what came to mind when I saw the problem and I solved it in 10 seconds. Vertex is sum of zeroes is -b/a = 18. vertex is -b/2a so divide 18 by 2 and we got 9. from Vertex midpoint theory, we know if f(a) = f(b) the x coordinate of the vertex will be (p+q)/2. plug k here instead. we already know the vertex is 9. Therefore (k+2k)/2 = 9 --> 3k = 18 ---> k = 6 (Ans)

Thank you!! You make every question type/subject so much more easier to comprehend and less scarier to approach in the actual test. You helped me go from hard stuck 1100's in March to 1380 in May. Goal is 1400 by September!

@SetteleTutoring

26 күн бұрын

Wow that’s amazing! You’re really only 2 or 3 questions away from your goal. Honestly, the easiest way to get those last few points might be to move slower in the hard modules, knowing you’ll run out of time and have to guess on a few hard ones, but that you’ll be able to put more time into the ones that you know you can get right so that you don’t lose any points from careless mistakes or other predictable topics.

People. People. This is the easiest way to solve the question. I saw it the moment i saw the question. The sum of the solutions is eighteen. Keep that for now. Whenever a quadratic question tells you something like f(x)=f(y), in most cases, and especially on the Digital S.A.T., it means that those two numbers are solutions or zeroes to the equation. Now, it is possible for that not to be the case but most of the time I've seen it that way and it worked out. I mean, sometimes you can plainly see that two numbers that are set equal to each other like in the above question may not necessarily be x-intercepts but for the sake of this new incarnation of the S.A.T. let's accept it for now. Therefore, when they tell us in the question that f(k) is equal to f(2k), it means that those two numbers are solutions or zeroes to the quadratic equation. Remember what they told us earlier that I said to remember? The question said that the sum of the zeroes is eighteen. Well, if that's the case then k+2k=18 which simplifies to 3k=18. Ergo, k is equal to six. Extremely quicker than what Mike Setelle gave as a solution. No offence to Mr. Setelle but your method was still too long. I immediately recognised the sum of the solutions in relation to when they give you two numbers being equal to another in a quadratic equation and it came together like continents from the Permesian epoch if you got that reference.

@saffronskies101

Ай бұрын

How did you assume f(x)=f(y) are zeroes? ty

@CGJero

Ай бұрын

​@saffronskies101 what the commenter is saying, is that if you have f( a value) = f(another value), they are equal to the same y value when put on a graph.

@CGJero

Ай бұрын

I think I got this one right. I'm fairly sure I saw that skip too. "k = 2k, both add to 18. k + 2k = 18, 3k = 18, k = 6"

@Tutorllini

Ай бұрын

Your explanation is off. "Whenever a quadratic question tells you something like f(x)=f(y), it means that those two numbers are solutions or zeroes to the equation." This is not true. for example: f(x) = 2x^2 -- 4x -- 5 f(-5) = 65 f(7) = 65 so... f(-5) = f(7) but they are not x-intercepts (the y-value is 65!) see what I am saying? They DO however help you find the x-coordinate of the vertex (h). So for example, f(-5)=f(7) We know that they are equidistant horizontally from the vertex, so: h = (-5+7)/2 = 1 Your method works (for another reason) but this faulty reasoning could come back to bite us. Hope this helps.

@SetteleTutoring

29 күн бұрын

This explanation works, but as @Tutorllini pointed out, we don’t know for sure that k and 2k have to be zeros. Even a simple y=x^2 example will show that, since f(1)=f(-1), but those aren’t zeros. Your explanation is actually taking advantage of the fact that we can use the solutions to find the vertex. It’s not quite the vertex solution I alluded to in my video, so I won’t say much more for now. But in a way, you’re also using my second solution by Arithmetizing. I made up that the solutions were 9 and 9 because they easily add to 18, but so do 6 and 12. If we made a quadratic from that, we would have (x-6)(x-12), which FOILS to x^2-18x+72, which plugs very nicely into the sum of solutions formula for ‘a’ and ‘b’. In some cases, you might be fine to make the assumption that you did about k and 2k being solutions, but not always, so just be careful!

sir this shit is tough please continue to help us with these videos god bless you

@SetteleTutoring

29 күн бұрын

Haha I’ll definitely keep making lessons!

Thank you Mike for making the videos. I really appreciate them. I improved my score by 250 points from watching these videos.

@SetteleTutoring

28 күн бұрын

Oh my gosh! That’s amazing! Congratulations! I’m so glad I could help you get there.

Thank you so much for your may SAT prediction video and this one as well! I was quite disappointed with my performance on the March SAT after taking every practice test available at the time and scoring well. I decided to grind geometry questions and actually make sure that I remember all the concepts (which i definetly forgot from taking geometry over two years ago) and ended up scoring a 1530 on the May SAT (790 Math)! Funny thing is that I am going to take June because I signed up before my May score came out lol!

@SetteleTutoring

26 күн бұрын

That’s great! Congratulations on that awesome score! To improve in Reading, try to think about trap answers for the passages. Watch my lesson on it, then go back to your old practice tests and look at every passage question you got wrong or struggled with. Could you have spotted the wrong answers more easily by thinking about the common traps? kzread.info/dash/bejne/oKiortF6nbysm9Y.html

@life_style77

25 күн бұрын

Oh that is insane, unfortunately I got 1130 in May exam because of my Math (610) I was so confident that I ll get over 700, however, everything came out in a different way(((. This time I am practicing more, and of course I did not forget about verbal part) I ll check what sort of traps I can face in Sat reading and writing section. In add., I am not native; I am from Azerbaijan. Thank you for your video, appreciated.👍

@SetteleTutoring

24 күн бұрын

@@life_style77 If you’re not a native English speaker, the Reading will always be harder. Try to clean up your Math mistakes as much as possible. For Reading, focus on grammar, and use Dumb Summaries to simplify the passages as much as possible. Big picture strategies will help a lot: kzread.info/head/PLlvPF6rDVN_tZC7TZtEwOUuYWQ9ZfJKeF

Just wanted to say that I think I was prepared well for the may sat as I actual got my highest score yet of 1350!! Thanks for the videos. THIS WAS FOR MY 100 TUITION FOR BRIGHT FUTURES!!

@SetteleTutoring

28 күн бұрын

Wow! That’s awesome! Congratulations!

Using -b/2a, we can find that the vertex lies at (9,y). By using this, we know that K and 2K lie on either side of 9, are equidistant from 9, and add up to create 18. That means K + 2K = 18, and K is 6. The graph intercepts the x-axis at 6 and 12, which also satisfies the equidistant rule from 9.

@SetteleTutoring

24 күн бұрын

Yeah, this works, but you’re making the assumption that K and 2K are x-intercepts. They could be, but it’s not necessarily true. It doesn’t really matter for this question, but it could matter for a different one. Nice job, though!

Hi Mike, I would like to start off by saying that I appreciate you a lot for the helpful videos you have made that are very simple to understand and informative. For an international student for myself who has taken the May SAT, I will be taking the June SAT too. I did watch the May prediction and I actually found very few hard geometry in my test. The math was pretty okay. However, the Verbal section was incredibly harder than I expected, especially compared to that of Practice 1 to 4. I did practice test 5 and 6, they both had easy math and hard Verbal. I improved my math a lot by just seeing what I did wrong on Practice 1-4 and I keep getting 700+ on Practice test 5 and 6. However, I used to score 700+ on Verbal on Practice test 1-4, but now I am barely getting that score on Practice test 5 and 6. How can I improve my verbal before the June SAT?

@SetteleTutoring

Ай бұрын

Thanks for this helpful feedback! Do you have a sense of which type of Verbal question was hard? There will always be a few very hard passages, and even I have trouble finishing the hard Reading module. My overall suggestion for maximizing the score is to skip straight to the Grammar questions in the hard module, and save the passages for last. If you’re going to run out of time, it’s better to guess on some very hard, time-consuming passages than the easy, predictable grammar.

Hey is there a video or resource that you can link that details all of those hidden "tricks" that you can do with the quadratic formula? For example, c/a=-b/a etc

@SetteleTutoring

19 күн бұрын

I haven’t made one yet, but I can add it to the list. I’ve got a lot to do before the June SAT, though, so not sure I’d get to it by Saturday. The big quadratic ideas are the 3 main forms that tell us the quadratic landmarks, and the discriminant. kzread.info/dash/bejne/lYits5p-YMaahNY.htmlsi=rrKb7QWANF0pJVi2 kzread.info/dash/bejne/m4JmvLKbgKywftI.htmlsi=PQAgkJnAIUlXtQbO

Since quadratic functions have two different x-values that have the same y-value, I just thought "what two numbers add to 18 and is two times the other." So the algebraic way is 3k = 18, but eventually the answer is just 6. I just stared at it for a bit and then got it.

@SetteleTutoring

19 күн бұрын

Right, it’s easy to think about because the numbers are easy... this time. The SAT could easily make it k and 3.8k or something less intuitive, so you wouldn’t want to stare at that one until it clicked!

one thing i don't like though about the digital SAT is how they display your skills. i got a 1490 this last test and all of my bars on both sections were full

@SetteleTutoring

26 күн бұрын

YES! I totally agree. It’s so unhelpful. My guess is that you got a question or two wrong in each category. You can make some guesses based on your practice tests. If you typically get easy questions wrong, then you should focus on avoiding careless mistakes, maybe even by moving slower and sacrificing some hard questions to random guesses. If you tend to only get the hard ones wrong, then I think you need some Step 1 Strategies to get started on them more quickly, like I talk about in this video. Getting better at avoiding traps should help too, especially on the passages: kzread.info/dash/bejne/oKiortF6nbysm9Y.html

ugh im so nervous im running out of chances to get a good score and ive been constantly stuck at a 680 😭 ive taken ap calc but for some reason i still struggle with all those pesky quadratic equations they give

@eshaankiran9804

28 күн бұрын

use desmos on like 70% of questions!!

@SetteleTutoring

26 күн бұрын

They ask about those pesky quadratics a LOT. You definitely want to be able to move between the quadratic vocabulary and formulas quickly and easily. The example in this video is definitely “twisted”, but it really just comes down to the same ideas covered in this lesson: kzread.info/dash/bejne/lYits5p-YMaahNY.htmlsi=SsPJRunwH37H9ibB

i got 1400 on the march sat. math was never a problem for me i scored 790. i'm a bit scared of the english section i want a 700+ do you have any advice for that? i'll take the June test

@SetteleTutoring

Ай бұрын

That’s a great score! Congratulations! I have lots of advice for English, depending on where you feel like you’re struggling. But overall, the first step to 700+ is locking down the grammar, transitions, and outlines. The vocab and passages are always more unpredictable, so we should expect to get some questions wrong there. But we don’t want to lose points where we can study and predict what’s coming, which is also why I recommend skipping to the grammar questions first in at least the hard Reading module. Are you doing that already? Do you get grammar, transition, or outline questions wrong on the practice tests?

@hanj6852

Ай бұрын

@@SetteleTutoring surprisingly, most of of my mistakes look like came from the grammar section. i always got all the grammar questions correct and sometimes with few mistakes in the practice tests. i was most confident of my grammer but i don't know what happened, and i didn't even got stuck in any question. maybe i've rushed to get to the reading questions (because i'm not quite confident on them.) and yes in both modules i started from the grammar section.

@SetteleTutoring

29 күн бұрын

That’s interesting. If you weren’t getting grammar questions wrong on practice tests, then it’s strange you’d suddenly get a handful wrong. You always get EVERY grammar question right, or you always get MOST grammar questions right? Even 1 or 2 practice test grammar mistakes point to a weakness, in my opinion, or at least a vulnerability. You want to be answering every grammar question confidently, without any doubt and with a clear explanation for the rule that you’re following. If you’re getting them right based mostly on instinct, then that opens the door to falling for traps on the real test.

did anyone else bomb rw? this is my second real sat and i got 730 on practice 5, then ended up getting a 690 (lower then my 700 rw on march that i got without studying on my first real sat). i went up 90 points in math tho (670->760)

@SetteleTutoring

26 күн бұрын

Were there a lot of vocabulary words you didn’t know? That’s always a wildcard that can swing the score a bit from test to test. Also, Grammar can change the score if you fall for more traps than usual. In my opinion, every grammar question should be answered with 100% confidence based on a clear grammar rule. If you were getting them right based on instinct or “how it sounds” on the practice tests, you’re opening the door to mistakes on the real test.

it’s cooked yeah it’s very unpredictable, like I’ve commented before, there was some geometry but I feel that the algebra was harder and even more conceptual (math module 2) Gonna have to grind the concepts now 😢

@SetteleTutoring

Ай бұрын

Do you think the example in this video fits the category of “conceptual” questions?

@roadblockalto

Ай бұрын

@@SetteleTutoring for an algebra question definitely, looking forward to more

@roadblockalto

29 күн бұрын

@@SetteleTutoring update 770 on math (im guessing they curved a lot or there were more experimental questions than usual | did terrible in English, I felt unsure about a few reading questions + 2 annoying vocab ones. imo math curve was higher, english grading was strict for may sat

@SetteleTutoring

28 күн бұрын

Congratulations! That’s an excellent score. My guess is 2-4 wrong. It’s definitely possible that you also got an experimental question or two wrong as well, but that wouldn’t show up in the score. My guess is that you got the math questions wrong that you expected to get wrong, and nothing more. Maybe even picked up a question or two with a lucky guess. For Reading, my guess is that you got some questions wrong that you did NOT expect to get wrong. This is common in Reading where the traps are harder to spot and proof of a correct answer isn’t about plugging into a formula.

@roadblockalto

28 күн бұрын

@@SetteleTutoring yep, sounds about right. I already felt that I did bad in English after the test compared to the few times that Ive already done the sat, but this was worse than I estimated

It had a lot of constant questions I found it hard while taking it but still got a 1510

@saffronskies101

19 күн бұрын

what did u get for math?

@SetteleTutoring

19 күн бұрын

I think that’s a good sign that the curve isn’t extremely harsh. We’re probably looking at about 10-20 points per question, so 7 wrong can keep you in the 700s. It makes it wise to give up on a hard question or two if it means being sure you’re not making careless mistakes on anything else.

@allanmutemberezi1937

19 күн бұрын

@@saffronskies101 I got 750

@allanmutemberezi1937

19 күн бұрын

@@SetteleTutoring Yeah I knew how to do all the questions except for 3 and just omitted themand got a 750 so I'm guessing I got the rest right

I felt that the test wasn't hard, but my score did not reflect how I felt about the test. Math was mostly long quadratics

@SetteleTutoring

17 күн бұрын

Does that mean your score was higher or lower than you expected? Higher means that the test allows for some mistakes so that one question isn’t worth 30 or more points. Lower might mean that you got questions wrong that you weren’t expecting, like if you fell for trap answers on questions that you were confident on.

@abdullahhaq4127

16 күн бұрын

@@SetteleTutoring A lot lower. Also im having trouble purchasing the membership because I'm not 18. Anything I can do about that?

@SetteleTutoring

16 күн бұрын

I’m not sure, actually. You might need a parent to do it for you, either by entering the payment info or creating a new account under their name. And if you make a new account, then you can just use it for SAT studying, so no distractions of other videos!

as someone who took the offical may Dsat I would say it wasn't any easier than march

@SetteleTutoring

19 күн бұрын

That’s good to know, and I think it’s worth reminding everyone else that one SAT may “feel” easier or harder, but the test is scaled so that a 700 means the same thing from test to test.

F(k)= F(2k ) K+2k= 18 3k= 18 K=6

@SetteleTutoring

15 күн бұрын

And how do you know that K+2K must be 18?

Yea I'ld skill this question ngl

@SetteleTutoring

15 күн бұрын

That’s great! Sounds like you’re ready for the test!

Noo. May was easy one

@shlattrt

Ай бұрын

english module one and two was easier than march right 😂

@galaxygkm4696

Ай бұрын

English was easy as hell but math module 2 was something else 😭

@djd__998

Ай бұрын

@@galaxygkm4696 I mean compared to the march it was somewhat easier

@galaxygkm4696

Ай бұрын

@@djd__998 I didn’t take the March DSAT

@carlstauffer2152

Ай бұрын

@@djd__998ehh about the same