[August SAT Math] Every SAT Parabola Question Types - Tips/Tricks to Always Get Them Right
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- Опубліковано 31 лип 2024
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What's up HACKERS!
Welcome to today’s video on Parabola/quadratics. We are going to go over the 3 types of questions you must know to answer all the parabola/quadratics questions on the SAT.
Type 1: Definition of the root / Finding roots
What you need to know - Recognize that when the equation is set equal to zero, the solution is referring to the root/x-intercepts. (When y=0, it’s referring to the x-intercepts)
How to recognize - Equation with a highest power to the 2.
What to be aware of - There are two ways to find the roots - factoring & quadratic formula. Always use factoring and only use the quadratic formula when the answer choices have radical and/or +/- in it.
Type 2: Sum of the roots
What you need to know - the equations for sum (-b/a) and product (c/a)
How to recognize - The question will directly ask you to find the sum / product of the solution.
What to be aware of - When asked to find a sum/product DO NOT FIND EACH SOLUTION INDIVIDUALLY. You will eventually get the answer, but It’s a huge waste of time
Type 3: Number of roots
What you need to know - You can find the # of roots a parabola has via discriminants (b^2-4ac).
How to recognize - The question will either say that the parabola has “no solution” “one solution” or “two solutions.” Remember, you can only use discriminants for a PARABOLA. Similar question will show up for two lines, but you can’t use discriminant for lines (it doesn’t have a,b,c to plug into the discriminant formula.
What to be aware of:
1. Don’t use it for the line.
2. There are two types of discriminant questions the SAT asks for. Finding the # of roots is the first type, the second type is finding the number of intersection between line and a parabola. The second type is covered in the lecture link above.
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FAQ
Name: John
Where did you study - Emory University
What did you major in - Economics & Psychology
Can you tutor me - Contact me (john@admissionhackers.com)
How long have you been teaching - Since 2012
Why do you decide to teach - It was tough for me to figure it all out when I was in high school, and my goal is to make it a lot easier for current students
Can you make videos on Reading & Writing - I don’t know those sections well enough to talk about them.
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Everything on this video is still tested on the Digital SAT. If anything new is added, will create a new video.
The "t" I plugged @ 11:51 should've been "-t" (because the "c" value is -t) ===> So the sign for the final answer would be flipped and the correct answer would be A
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haha i made the same mistake on the practice test and got it wrong! whoever made this question is too mean :(
I was going crazy wondering why you didn’t make the t negative, thinking their must be a rule i dont know. Thank you for clearing it up :)
@@oldacc5342 yes sameeee
thank you
@@christinenguyen2040 You were probably way too careless 😂😂
b2 - 4ac < 0
(-4)2 - (4 x 2 x -t) < 0
16 - (-8t) < 0
16 + 8t < 0
8t < 0 -16
8t < -16
t < -2
So option A as it is only less than -2.
Anyway thank you for the video
finally someone answered like me , i thought i was wrong !
i also thought the same
Lol I noticed the mistake he did too but for a sec I thought I was wrong.... Thanks for commenting
thanks so much i stared at this for way too long thinking I was dumb
Tbh you are the best SAT tutor youtube I have ever seen and I spend a lot of time looking for help on SAT here on youtube. I found you about 2 weeks to my exam and have watched several of your videos.. I will be taking the exam tomorrow and I just want to say Thank you so much. I can't believe I paid $50/hour for the informations you give out for free. I am sharing this with all my friends and the juniors who are going to be taking the SAT next year. You deserve more subscribers and I wish I found you earlier.
Thank you for your kind comment! I am glad you found the videos helpful. I wish you the best of luck tomorrow! Let me know how it went :)
John Jung - The Admission Hackers I will update you when I get my scores but I feel good about the test because I knew more materials
@@alakaoreoluwa5491 hey! what did you get? do you think the videos were helpful?
CAn you tell your score to us ?
@@rdx9874 1240
The world needs more people like you, thank you for being so helpful!
You are such an excellent communicator. Please keep making videos on UA-cam
Thank you so much for this video. I got a 780 on the math section and your channel was a big help when I was studying.
I spent hundreds of dollars on sat prepping and your free UA-cam video helped me more than any of my tutors 😭
I am so lucky cuz I found your channel before my test day ... Thanks a lot 😍
you make math fun through being understandable. god bless sal khan, but even he couldn't make this comprehensible for me (smol brain.) fortunately, you break everything down so wonderfully even i can understand it. have a wonderful day!
Thanks a lot for this crucial lesson. It means a lot. My exam is tomorrow, hope to ace it and make you proud.💪💪☺
I needed to review my math because my SAT is tommorow and I have to say that your review videos are the most engaging and easy to understand ones that I have seen so far-- almost too easy to understand lol.
Happy to hear that - Good luck!
Insanely helpful video my SAT is in December tysm
Hi sir, the world needs tutors like you, The SAT analyzer which you have kept free for now has helped me a lot. I wanted to ask whether you are planning to keep math accelerator free for even one week.
thank you this lesson is very usefull for me
Thank you SO MUCH ❤
I hope you are doing well
I love your videos man!! thank you! Can you please do a videos on "isolating complex quantaties" ?
not sure what that is, but it could be covered under the complex numbers video in the channel.
Thank you so much. This was so helpful
it will be super helpful if you could make a video about factoring
I love this man
Thank you, this was helpful
영상 감사합니다~
one of, if not the most efficient tutor on youtube for the math sat 😭 thank you 🫶
your videos are so helpful thank you so much for your efforts I really really appreciate it
😀 😀 😀
For finding roots just use mode 5 ,3 in the calculator
you are the best teacher, currenty i am having SAT courses but teachers dont like u, your method is amazing
thank you!
THANK YOU!!!
AMAZING!!
Glad it helped 😁😁😁
this is amazing
Can you make another video about interpreting non lineare expression?
Thank you sooooo much
Thank you☺️
My math score was 550 . After watching your videos I got 680. Thank you so much! Want to get 800 and I have 2.5 month ) Where can I get more of your videos?
Wow, amazing jump in ur score4
Wow !
same I'm stuck at 530 i wanna score 650-700 on official sat plus i have 4 DAYS ONLY😭🤧
@@taiebxr how’d u do
@@jjdjjdjfnbrofngntn544 i got 600 on maths section
perfect !
Please make a video for super fast factors of a quadratic equation
thank you so much
Thank you boss
you could also think about the last problem conceptually but it's more difficult. if you move "t" over to the left (2x^2 -4x - t = 0) you know t has to be negative to create a positive "c" value, since the graph opens upwards due to the positive "a" value; this would allow there to be no x-intercepts. out of answer choices "a" and "b," without doing any calculations "a" is a better choice because it's higher up and therefore less likely to dip below the x-intercept, which would give the quadratic solutions. thanks for the vid :)
😭why didnt i find you sooner ...no it didnt even take me welks but 3 hrs to boost my basics in math because of yoy
Hey, can there be more videos on parabola questions. Still face a little difficulty in solving slope questions
Thank you from Brazil!
Welcome!!
Thank you John🤝🏿, currently reviewing and revising 1 week before my Test date😅. Coming in clutch fr
Best of luck on December!
me too!
Bro your amazing!!!! also kinda I need help with the English section and UA-cam channels or website you recommend !! Again your math sessions are amazing I saw the whole playlist and it's great!!!!
Thanks man! I heard Seberson Method is pretty good for the reading section. Check it out ;)
Hi JJ, what gadget do you use to present your writing on the screen?
@ 8:10 how can we simplify all of the 2s? the denominator would become 1 on simplification and 4 in numerator would become 2. so how can we simplify it someone help asap
hy thanks soo much for making these amazing videos. Could you please do a video about linear equations
Sure! Added to the list
@@JohnSAT can you link me the video please I can't find it
thank you!
you're welcome!
3.completing square
Can u show how u factored the equation?
thank you so much T^T
Wow that was really good
Glad it helped :)
DESMOS ALL OF THESE QUESTIONS THANK ME LATER
omggg thanks you saved my life 😅❤
❤
for finding the root can't i just use the calculater it's quicker
Now that Desmos is available on the SAT, we can just plug in each given equation to easily find roots XD
thank you sooo much!
:)
Please make a video on how to quickly factorize thanks
To solve for x in a quadratic equation, just use your calculator to input mode 5, 3 and add your values
And your calculator will solve it for u
For the question that you used the quadratic equation. Did you need to simplify it first by taking out the 3. Or can I just plug the original numbers that they give me in the quadratic equation. Amazing vid btw. Helped a lot
it makes it way easier to j take out the 3
I love your vidios❤❤❤❤❤❤❤❤❤
❤
Amazing..please vertex
dropping at 3:30PM on Monday!
for the discriminate question, what if the question says the parabola has one or two solutions, then what would you set your inequality to?
it will never say that.
Hey, could you please do a vid about lines? Thanks
Can you please make a video explaining the concept “calculating mean, median, mode, and range of data, and understand how these, along with standard deviation, affect the shape, center, and spread of data”?
Lines is coming up next week!
Man that's a lot of material haha. I will add it to the list and make a video on it soon
Hi Sir, I would suggest you to put your face cam big at the start of the video and maybe towards the end. In the middle it is best for you to show the question and work as big as possible for people using smaller devices.
what device are you watching it from?
Maybe,you did wrong to find value of "t". It'll be "- 3" not "3". Thank you.
Nevertheless, appreciate to make this kind of video.,❤️
for the problem you're solving at 8:12 -- would i always need to simplify the equation from like 3x^2+12x+6 to x^2+4x+2 before plugging it into the quadratic formula?
you don't have to, but doing so will keep the numbers small & simple for the quad formula
@@JohnSAT got it!! thank you so much ^_^
❤
❤
How do I know if the discriminant is 0, =0. Also the video was very helpful keep it up !!
You can calculate the discriminant using its formula (b^2-4ac) - If it's still confusing, the private lecture will go over it super in depth.
@@JohnSATyour last problem in this video is done wrong, as other ppl have noted in the comments. u didnt move t to the other side of the equation to make it the general form. the answer is the negative version of what u got
@@user-pr2os3ky2r You're correct. It's addressed in the pinned comment.
In finding roots pt2 isn’t the a 3 bc it’s the coefficient of the x^2
❤
We love you John Jung
:D
Can you please do PSAT 😊( Im a rising freshman so please help me)
8:21 you forgot to distribute the 3 to the equation.... or is it that im wrong just add correct me if im wrong
Hey!! On the last question why didn’t we take “C “ as negative “t” ? Tnx !
check the pinned comment!
@Mandy Zhang pinned comment is there
Hello, does your lectures include inequalities?
Yes
Can you make a video about triangle similarities?
sure, will add it to the list!
Did you ever wrote an SAT
LMFAOO THE SOUND EFFECTS
Bruv Finding roots part 4
the answer is -3 .You forgot the sign of t which is -t: so it will urn out to be, (-4)^2-4*2*(-t)
❤
I think there is a mistake with the third question
It should be (-t) not (t) john
I just did the #13 that you did but the scoring sheet says the answer is A?
That's correct! The "t" I plugged @ 11:51 should've been "-t"
So the sign would be flipped and the correct answer would be A. Thanks for pointing it out
@@JohnSAT no problem! Great video and I love your style of teaching. Also, totally blew my mind with the sum of solutions formula!👍
@@toolologist It's one of those things not many students know about. Glad it helped you out 👍👍
I still don't get finding the solutions.
You made a mistake on your fist sum. It should be (x-4)(x+3). Thanks for the other tips btw
time stamp?
"its gonna be disgusting if you try to factor this" lollll.
Hi, I want to buy your course but the thing is that I'm a foreigner ",i have never taken sat before and my math score is 250 and you said your course can help only students who have above 400 points
Should I purchase your course
If not how can I improve my
8:42
I'm not sure why you take up half the screen with a view of you looking down at the problem. Much more useful if you expand the math part of the screen.
womp womp
10:03
how about teaching the graphs, i really dont understand it much
❤
Alex Becker intro xD
you are a men of culture ;)
You are excellent but be quite quick and do not repeat one word thousand times
For the last problem
we can easily solve it, if we use simple calculus.
2x^2 - 4x = t can be written as 2x^2 - 4x - t = 0
derivative of the expression above is 4x - 4, since t is a constant.
we can find the critical point by finding the root of 4x - 4 = 0
and the critical point is at x = 1
insert 1 in 2x^2 - 4x - t > 0
solve for t and that will give you t < -2
Apparently, We have done these problems in grade 10 itself in India....😂
Anyone frm India 🤚
Actually, I am giving the SAT in June and have always got a 750+ on the math, thanks to CBSE
❤
for the sum of roots isnt the answer suppose to be -8 since the formula is -b/a
no. b is -16, so -(-16)/2 = 8. 2 negative signs multiplied make a positive. he did the last problem wrong though in the video because he didnt move t to the other side of the equation to resemble the general form where c would be -1t.
ur gorgeous
please your video isn't clear. Am now watching the concept.
.
brother I appreciate your videos but have to add that you make a lot of silly mistakes not only in this video but on your other videos as well.
does anyone else hear a random female bot voice in the bg in all his videos or am i losing my mind
remake this video lmao, too many mistakes for beginners. I'm just doing this to revisit mistakes and some people might not know the "answers" as opposed to what you wrote down.
other than the mistake at 11:51, what else are there?
Your videos are so comprehensible and super fun
I mean you make maths seem as finyas watching your favorite movie
Thanks John 🫶