Two SAT® Math Questions

Brooke works through two algebra questions and explains how to approach questions when you can't see the fastest way.
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#SAT® #Math #Problems
Produced by: David Paul
Edited by: Sara Lester
Disclaimer: SAT® is a trademark registered by the College Board, which is not affiliated with, and does not endorse, this product.

[@SupertutorTV]

October 6. SQUAD!!

[@12345valerie]

OMG ME! SAVE MEEEEEE I'm only retaking for essay since i already got 1510 but only 16 on essay

[@dhruvsanan4738]

SupertutorTV I have my SAT tomorrow. Any advise?

[@nushratesha6032]

right here!! Would love a last minute tips video !!

[@davidmorales2859]

SupertutorTV YE BOI

[@kombeeedits8325]

Best of luck to everyone🙌

[@microtrap7856]

idea: we replace the SATs with one nationwide game of Kahoot

[@lagamer6505]

Freaking amazing

[@cheng2013]

Yas!!!!!XD

[@gosulanre6669]

Yes please

[@chivo1251]

Big brain

[@Oogabooga11249]

Hell no that would be hard af

[@csgnwinter]

“Hardest SAT questions” Asian students: Hold my beer

[@skifast_takechances]

Lol not only that - *solves in 10 seconds (literally)* this is why most asian students get 800 on the math section (easily) but struggle on the reading and essay sections.

[@phamvy7046]

exactly what i think :)), i'm from VietNam

[@VVSDRAWGAME]

True😂😂

[@xz1891]

Basically these Qs are insult to Asian guy's wisdom.

[@faktionfpv3590]

Hold my rice wine XD

[@muzammiljawed5981]

*LET ME MAKE YOUR LIVES SIMPLER* For question 2,since each gallon is $4 and an go upto 25 miles,then to find how much it take for 100 miles,just do 4*4=$16. $16 is spent in order to drive a 100 miles, the driver wants to reduce spending by $5. $16-$5=$11 put that in the equation $16=100 miles $11= *x* miles cross multiply and the answer should be 68.75 miles,that means that the driver will have to reduce miles by 31.25 miles(100miles-68.75 miles) in order to save $5. After this,just make *m* the subject in each of the answer choices until you get *m* as 31.25.

[@chaincha9845]

Thanks

[@hobarihoya]

muzammil jawed exactly

[@chaincha9845]

@@hobarihoya Hi jenny

[@somerandomguy92]

It’s not “until you get *m* as 31.25.” You have to substitute *m* for the variable in each of the options until the equation is *true*.

[@chadanefrancis2099]

I did this, well i didnt change m, I just checked to see if the equation is true, but I wasnt sure if this was a no calculator question...so lolol

[@avinash5715]

December 1st SQUAD!

[@gkountilas]

so close yet so far away

[@luckyabolorunke4481]

Espionage Monota same man

[@jeevikaadda8570]

sup

[@changjiang3152]

me 2!!!

[@farouqsiwoku7678]

Sup

[@recyclingplayers6904]

May the 4th be with you SQUAD

[@Namitalks]

we lit!!

[@shacelisbeauvais7995]

GOOD LUCK

[@CMaC426]

Recycling Players good luck!

[@bryanthebrick9653]

Question #2: Given: 25 miles/gallon $4/gallon That means "$4 makes you drive 25 miles", or "$4/25 makes you drive 1 mile" x = number of miles that causes $5 so, ($4/25)x = $5

[@diondredubose]

Thank you so much for number 15. That was literally the only math problem I missed on that section and I couldn't seem to wrap my head around it, but you made it make sense for me. Thank you!

[@brookifyd]

Glad to help Diondre!

[@rabinbajagain6165]

We can create a equation directly for the second question 100/25 give you 4 gallon required for the trip 4gallon*4$ per gallon gives you total price = 16 since we want to keep the total price less than $5 than original cost, our desired price = 16-5=$11 Now (100-m) = distance we want to travel to reduce our total cost 4/25 = the cost of the gas per distance ( which cannot be changed) Now, (💯-m)*(4/25)= 11 ( remember that 11 , our desired cost) Solve for m and there you have it ......it seems long but can be solved in less than one minute. Tho she explained it quiet well, I hope it helped you in some way. BTW , i'm taking SAT this Dec and I can already feel the *lightning and the thunder thunder thunder*

[@ti84satact12]

You over thought this. You can actually make it even simpler by using the transitive property: if A=B and B=C, then A must equal C! If traveling 25 miles uses 1 gallon of gas and 1 gallon of gas costs $4, then if you reduce your mileage by 25 miles you'll automatically save $4. So that's your savings per mile! Set up the proportion: $4/25 miles = $5/m multiply both sides by 'm' and voila!

[@Lavender_animegirl345]

I see some Hippocratic Asian comments (I am also an Asian and I am not racist) down here but guys SAT is a standardized test developed for everyone. It tests our creativity not our immense mathematical knowledge. It is a generalized test targeted for the students from all backgrounds whether it is regional or educational.

[@yongshiliang2143]

I work hard on SAT everyday ,but I still can't increase my self confidence since I came to US just 3 years as a Chinese.I just want to get my ideal score

[@AhmedAli-zm2wy]

la ilaha ila Allah

[@yongshiliang2143]

@@AhmedAli-zm2wy Yes,thanks for your comfort.I think I am a pessimist ,I always compare myself to others like why others don't study but get a higher score.I am trying to be optimistic

[@klutz3955]

best of luck and when you feel like you're bogged down just think to yourself "what if everything works out?'" and act on it!, there was also a quote in the SAT but got removed that goes; "When life gets you down don't say "why me", say "try me".

[@tailytiny5330]

Hey I'm here with you. I came here less than 2 years ago. So keep up! 加油

[@saraha.1930]

omg same here. English isn't my first language and I've only been here for 3 years. I really want get 1300+ but I'm not sure if I can do it

[@skifast_takechances]

Damn if these are the hardest SAT math problems I will be fine next year! For the first one, there is only 1 value of a that could result in -8x as the first quotient. In order to get a negative quotient a must first be negative. then you do 24/a = -8, so that a must be -3. The second problem is . very easily deducable. It is clear 95 is an arbitrary number used to throw dumb people off, since it asked for $5 less, not 5 miles less. THe only answer that makes sense in terms of order of magnitudes of e is 4m/25 = 5, since m=125/4 31.25 miles. All in all, this is far easier than the SAT II Math Level 2.

[@dhutchinson9440]

Thanks!! If this works on similar Q&A on the SAT's I'm saved.

[@micahpalin6136]

I understand the first pet but where did you get the 24

[@idonthaveacreativeusername2962]

Micah Palin 24 is part of 24x^2 on the first polynomial. He is basically dividing 24x^2 by ax. So the whole equation you are solving for a would be 24x^2/ax=-8x and if you just look at the equation or do linear algebra the answer is a=-3

[@rabintech32]

October 6, 2018(wish me good luck to score 1500+😚)

[@lastofthelost526]

AMEN

[@Bhamilton-ws4go]

What did you make?

[@rabintech32]

@@Bhamilton-ws4go 1490

[@RETVRNAVGVSTVS]

How did you do?

[@RETVRNAVGVSTVS]

Nvm.... Good job on 1490 though

[@alansteyrbach6926]

omG, she said "Are you with me?" exactly when i've started to look around, lmao

[@eeZyy_]

I take it October 6th and i am losing my mind

[@sebastiane3678]

same 😂 I'm so stressed

[@dhruvsanan4738]

Me too

[@heavenlychase115]

Same !

[@ICreateLag10]

Relax. Remember, an easier way to do this problem is plug in your answers! Substitute x with an arbitrary logical value

[@silvuhh1269]

Same😂😂

[@SnohMonster]

Here 30 minutes before the SAT lol

[@skifast_takechances]

HAHAHAHAHAHAHAHA nice man how'd you do?

[@maliastone6969]

im only a freshman but good luck to all of you test takers on oct 6!

[@skifast_takechances]

Who says freshman can't take the SAT xD get a headstart!

[@mr.probable1236]

Sean Yang some colleges require submission of all valid scores. I’m pretty sure that SAT scores take four years to expire, so if someone takes the SAT in 9th grade and does poorly it can potentially harm their college admission (if they are looking for one of said colleges, of course).

[@davidjite999]

Question 15 is just stoichiometry

[@gene4170]

Deadass💀I’m supposed to do this in a minite🤨

[@akshatbanerjee1040]

I was just thinking of giving the SAT this year as a practice for the next year and looked at some videos of the students telling that the math was super hard Honestly looking at this has made me feel a lot calmer knowing that the hardest math problem there is considered nothing in India .

[@shubhankardasgupta4777]

Haha me too from India.

[@arj1045]

Less than 24 hrs to go. Lemme watch all of your vid today 😅

[@justkamola]

Uii, good luck then) Wish you 1550+))

[@aaryanpatel5948]

ARJ 10 #MeToo

[@gracebwakya5493]

Same

[@arj1045]

Guess what I f*cked up. Didnt even complete the reading portio

[@aaryanpatel5948]

ARJ 10 me too was not able to complet last passage

[@andrewrheam8240]

I’m taking the SAT this Saturday!!! This helped so much for last minute tips!! They never hurt!

[@sly4164]

You may need to use long division. **synthetic division has entered the chat**

[@jeffzhang4852]

In my experience, as someone who has gotten an 800 on the math section, the best way to get good at SAT math is to take rigorous STEM classes. You not only learn what is being tested on the test but you also learn how to tackle tricky problems since the problems you will encounter in your classes will require much more intuition. However, this hasn't been the case for English as all the AP English classes that I’ve taken just make you read books, analyze them, give a test on them, and write an essay about them. It’s very easy to get an A but a 3 on the exam. I have not learned a lot of grammar rules nor have I practiced any test-taking strategies for the reading section. The only way to get better at SAT English is to self study.

[@wristfroze]

Its 12 am and I started studying yesterday at 1pm and I’ve already taking the SAT 4 times. Pray I get atleast a 1290 (highest super score is 650 raw and 600 math)

[@martha4895]

How did you do? Hopefully you got the score you wanted!

[@britkneetran]

Good luck to everyone taking their SAT! Mine is tomorrow so i'm cramming ;;

[@martha4895]

How did you do?

[@justahugenerd1278]

Anyone else taking it November 3rd?

[@rosiferpichardo1668]

I Hate Anything me

[@tyvonndobro8758]

Me

[@nancysegura1360]

December 1st ughh

[@formonic_]

Me

[@xpieerd]

I Hate Anything I’ve found my people. Yes dude and I know I’m gonna do horrible because I never studied or planned to take it till I realized I have to.

[@tunaozsoyy]

1 hour after watching this video, I started solvinga practice test(collegeboard test 3) on khan academy. And guess what happened. In the no calculator section, at the 16. question, the first problem in the video was waiting for me :) (edit) Eventhough I knew hot to solve the question, I made a calculation mistake so it ended up as a wrong answer...

[@nerd6414]

Easy soln for number 2 - He drives 100 miles. Avg is 25 miles a gallon. The cost is 4 per gallon. He wants to reduce 5 dollars. Therefore he must drive 5 dollars worth of miles less. Get it. In 5 dollars you can get 5/4 gallons. And in 5/4 gallons you can get 5/4*25 miles. Now just substitute. 5/4*25 = m; 5/4 = m/25; 5 = 4/25*m. There you go.

[@dannixxx8579]

Oh my god, I have watched all your SAT videos and I came back from my SAT to see a notification for this one. 😂🙈 Wish I had seen this earlier!

[@Vdmirvl]

Anyone taking it this June?

[@anudeepannangi9813]

I am! My goal is to get a 700 in math. I recommend watching Scalar Learning videos on KZbin. The guy goes through every single question on all of the practice tests.

[@jeriljoseph2456]

I took the SAT today and I think I did well. I really hope it’s true.

[@dhutchinson9440]

Right now I really wish I didn't go to school in Ameria because students from other countries seem to learn this way earlier, and have more challenging work.

[@ti84satact12]

You can always take the initiative to learn on your own! If you want more challenging work, go find it. There are many videos and websites that we'll provide that challenge!

[@mennatariq1364]

October 2018 anyone ?

[@kunalmahatha_cse_168]

yes

[@josephtrotter5569]

No I’m in the Year 9078

[@fatyasweet983]

You can substitude any number instead of X (for example 1, but not 0 because A will disappear while you need it) in such questions and answer is always correct,what is more you do not have so much time to solve it as detailed. If that is a calculator section then susbstitution take up some seconds which is so comfortable))

[@fluffyunicorn57]

Would it be a good idea to learn long division before the SAT?

[@ti84satact12]

There typically aren't many long division questions on the SAT, but if you have time, it's a good skill to know.

[@denzilbilson4998]

October 6th! Good luck everyone!

[@shahriarazad2034]

Taking it tmrw, wish me luck plz!!

[@soccer68541]

Score?

[@scarletemoji8066]

thanks

[@redvibes9949]

mfw I already got a 1510 last year and am in college not having to worry about ever taking a standardized test again in my life 8)

[@ben-tn4xq]

unless u want to go to graduate school

[@shreyaskapavarapu1972]

for the first problem just sub in x=1 and find a from there no need to do the long division bc the value of a is true for all x

[@agme8045]

I always thought SATs were harder since Americans give it so much importance. It’s just looks like a regular math exam (a rather easy one tbh) the fact that they aren’t allowed to use calculators makes it even easier since all the numbers you are given are really nice to work with

[@pradysaligram4130]

Doing it tomorrow, wish me luck

[@havesti]

oof same good luck

[@farisdurrani]

I've actually done SAT a year ago but I love this channel so much I still watch it!

[@aritroc3368]

I am 11 and could solve it!!

[@LightningPEye]

NOVEMBER 3 BOIS WHERE YOU AT!!!!!

[@bas2362]

Don't know why but these were really easy. I'm in my last year of highschool and I feel like we get this sort of problems on our tests.

[@nishantsarangdhar]

For the first question why don't you just substitute x=1

[@sophiastonebrook]

I'm in 8th grade doing 11th grade math and if these are the "hardest" SAT math questions, then I don't have to worry about studying for the math section lol

[@RETVRNAVGVSTVS]

SAT tomorrow morning!!

[@vanwan7610]

Early action due in 10 days for chapel hill 😋😋

[@vanwan7610]

@Aboodi Sadiq Yep! I'm a sophomore now and love it here :D

[@kathrene.l6192]

Very helpful thank you!!!😄

[@emmanuelotobo7944]

There were some hard things in the Reading portion of Practice Test #5. For example, the third and fourth passages on the reading test each had one of the hardest informational graphics (in my judgement). It was pretty hard for me to actually understand them in a reasonable timing cos I had never come across them before. Please do consider giving some tips on how to understand those kinds of complex informational graphics.

[@whisperingdonut]

october 6th anyone?

[@davidkhachatryan182]

Here!

[@trickster9000me]

Me

[@cosmasmulenga9625]

me too!

[@kinfongyeung5400]

not me...

[@alexakilov2698]

Me

[@senorbutz3158]

I was a lil skeptical when I started watching this but it was pretty helpful (especially the dimensional analysis cuz I’ve always sucked at that)

[@Gmoney-og9wj]

For question 2 I just did a proportion, subtracted 100 by that number and solved equations until I got that to come out

[@astudyofeverything9063]

You tell this problems are the hardest in SAT.....In India we learn, solve and master these problems when we are 6th 7th or 8th grade students!!!!!

[@mayafisher9251]

hoping for a 1400+ tomorrow!! i scored a 770 math last practice test🤞🤞🤞

[@tonyyin5466]

Can’t you solve the second question with barely any math? It says that Alan would like to reduce by $5 so we know that’s what it should end up equaling. Then you can multiply $4/gal and 1gal/25 mi to get $4/25 mi. Then you can just add m as the unit to represent miles into the equation which makes sense as the miles cancel leaving the dollars left. Does this make sense or what it just luck with the question?

[@ti84satact12]

No this is absolutely correct and a more intuitive way to solve. Well done!

[@kevomtb6882]

In the first problem it is easier to set x equal to 1 and then solve for a

[@alih6802]

October 6th SENIORS??? 😭🙋🏽‍♂️🙋🏽‍♂️🙋🏽‍♂️

[@sandraemiola6721]

🙋‍♀️🙋‍♀️🙋‍♀️

[@theoneandonlytey1942]

right here :l

[@alih6802]

We got this!!! College whats good

[@BeefWagon]

Heeeeyyy I’m going to die

[@theoneandonlytey1942]

8 more hours :|

[@aleczheng]

For the first problem, if you are stuck on the SAT, you can use the answers to your advantage. Just plug in the answer choices until you get the left side equals the right side.

[@clickdevice80]

My native language is not English can would you give me any recommendation for the reading, writing-language.

[@jinxiangma7183]

Me too

[@justkamola]

@@JustLikeHammer If you are not taking the sat tomorrow (october 6th), then you have a great chance) I personally increased my score from 590 to 700 in two days of hard work. Read Erica Meltzer's critical reading, analyze your last mistakes(and the whole practice test overall), try to understand, whether the problem is the time limit, or lack of concentration, or you don't understand many words. If the problem is time, then start the next practice not with a timer, but a stopwatch. Calm down and do your practice without thinking about time. After you finish, understand what caused you to be slower than it's needed(or maybe you will fit in the given time, because you didn't get stressed thinking about lack of time). If the problem is your vocabulary, I have 2 suggestions. One: as you go through many SAT passages, try to record most frequent words, and try to analyze them, finding different examples of usage or so on. Review new words everyday BEFORE GOING TO SLEEP, because it's more convenient for your brain to build new connections (memorizing) while you are calmed down(asleep). Second method: go to 1)puzzle english.com- choose the gre vocabulary and practice it; 2)go to vocabulary.com and practice new words there. Finally, not enough concentration. Start with the passage that interests you the most. In my case, I start with the scientific passage, move to social science, history, fiction and 2-passage ones. That's the best way to stay concentrated. Try to understand the passage as a whole, not line by line. Try different methods of reading it (maybe you feel more focused by reading the whole passage and then diving into questions, or you read it part by part). Do as much practice tests as you can, but don't get overwhelmed by forcing yourself to do them. Bad mood=bad scores. Eat chocolate, ice cream, or whatever you love. So, that's it) Good luck, wish you 800 on reading and writing))

[@BrendanZhang12345]

wing it

[@jhmrem]

Short-term: Get books from Erica Meltzer from Amazon. Practice on Khan Academy. Long-term: read US foundational documents like Constitution, Federalist papers, Gettysburg address, etc. and other substantial English-language literature.

[@daniellaperez3226]

Mira K Thanks for the tips

[@tanayashra4886]

who else thought of the avengers when she said “endgame” 😂

[@prometheus5405]

only 8 people.. pfftt

[@batiasegal3117]

My lord and savior, the SAT prep queen

[@a1sauce44]

Good luck tomorrow y'all

[@ilkeracar4185]

very easy

[@StephanyMaraca]

BROS basically the second problem is this: you have to calculate the cost off gasoline per mile after that, you divide THE FIVE WITH THAT COST PER MILE AND THAT´S ALL

[@prasadgadhe1808]

March 9 squad

[@yongshiliang2143]

Nervousness Nervousness

[@blackboxbs8642]

Yongshi Liang how did you do?

[@biggjuicyballs]

For question 15 I worked backwards, knowing to reduce $5, I divide $5/$4 per gallons, and get 1.25 gallons, multiplying it by 25 miles per gallon, I get 25 +( 25/4 ) equaling 31.25 miles. I plug 31.25 into both option B and D, knowing that the correct option has to equal 5. Option B doesn't work out, so that leaves option D

[@biggjuicyballs]

After searching the comment section for a while, I found out that FPL's comment has a similar process. Just stating to give credit where it's due

[@mahboobali8130]

I didn’t know the sat test your chemistry stoichometry skillz

[@sudakshdimri9612]

Please make a video on SAT parabola questions🙏🏻

[@FuqYoMarmar]

These are the hardest questions? What age is this test for? I’m from Australia so I don’t take this test.

[@devondevon4366]

Alan spent 1 dollar for every 6.25 miles of driving or 25 miles/ 4 dollar cost per miles. If he wants to save 5 dollars then he would have to drive 5 x 6.25 fewer miles or 31.25 miles less or 31.25m which is the same as 25/4 x 5 = m or (5) 25/4 =m or 5= 4/25m Answer D

[@xinruzou8286]

Cramming at 9:20PM the day before SAT. Great😬

[@ismailfixs1126]

I'm gonna pass mine

[@viktorivanov6773]

In which grade do people take the SAT test?

[@skifast_takechances]

Any high schoolers can take it but conventionally people take it at the very beginning or very end of junior year as this is when the sophomores finish precalculus/trigonometry and SAT math becomes rly easy.

[@anudeepannangi9813]

The first problem you go over is not HARD at all! The hardest problems on the SAT are the circle theorems and questions that involve reading some graphs. The others are easy!

[@cocotaveras8975]

Taking it tomorrow, April 9, am so frightened. Also, to whoever did it how long did it take to get the score?

[@ChiNguyen-bc4kt]

When I encounter a seemingly difficult SAT math questions, I always worry whether I can think of solutions in time. Should I be worried? Is there a better alternative?

[@zoegraziella5431]

Who’s taking it this August?

[@AdrianaGarcia-ke9tq]

June 1st who’s not ready and bout to get a low score 🤚🏻

[@jamiemaxwell]

Adriana Garcia I hear ya

[@astralali]

🙋🏾‍♀️🙋🏾‍♀️🙋🏾‍♀️

[@phantasm2132]

Even if u have no clue what the answer is u can guess and still have a 25% chance to get it right. Americans are so lucky

[@TheScienceGuy10]

These are simple.

[@Guard-Of-Zion]

I am in 9th grade pre Ib and 50% of this is easy.

[@khalilh1552]

October 6 squad good luck !!!!

[@saquibsarwer526]

I did it in 1 minute

[@joycexie8537]

Who else is taking it TOMORROW?

[@nestingdoll9977]

may the odds be ever in our favour the OCTOBER SQUAAD 😭😭😭😭😭

[@dhruvsanan4738]

I have my SAT tomorrow. Any advise

[@aidanchau1664]

Is this with calculator or no calculator

[@baburajt9629]

For an equation to be true, LHS should be equal to RHS. So simply equate the coefficients of x^2 on both sides.

[@ACCOUNT111-b3o]

4 dollar go 25 mile . 5 dollar go m mile. That was easy

[@rajvo1]

December 1st Being International SQUAD!

[@imyoona9654]

When does the sat course come out?

[@SupertutorTV]

November

[@vutienat2239]

Easy

[@heshambakir491]

How much time I get for a question in the exam?

[@toPanther]

this is so simple....

[@kauze8063]

Just use synthetic for the first one. The only hard part about it is solving a quadratic, and also deciding between 2 answers but -3 was one of them so...

[@abhaybansal9904]

Sats are so easy ... Check out the Jee iit paper (india) .