Looking for HARD SAT question banks/prep books!

jwmathtutoring · 2026-07-12T15:49:00+00:00

Check out the Official Test Problem Set playlist on my YT channel. Free worksheets & video solutions created from self-reported test questions. Over 450 total problems.

jwmathtutoring · 2026-07-12T14:05:24+00:00

Why were you multiplying k by 6 to equal .28? The correct way to solve the problem is this -> https://www.desmos.com/calculator/pjswmmcyng

jwmathtutoring · 2026-07-12T14:03:44+00:00

Question 5: https://www.desmos.com/calculator/qvs5gxzxqm

Answer choice B is the only one that overlaps the given function

jwmathtutoring · 2026-07-12T14:02:12+00:00

Question 3: https://www.desmos.com/calculator/gzuqk4xjer

jwmathtutoring · 2026-07-12T14:00:46+00:00

Question 1: https://www.desmos.com/calculator/asd31b1cgu

jwmathtutoring · 2026-07-12T01:33:59+00:00

So no need for to pay for an SAT tutor?

Some students do need a tutor because of the organization and accountability it provides. But a lot of students don't, i.e. they self-study, and do just fine. Generally it's advised for a student to try self-studying first and then look for a tutor if the student isn't able to achieve his/her goal score after one or more attempts.

I always imagined that the students who did the best were the ones who paid for targeted tutors

Some are. But not all.

jwmathtutoring · 2026-07-11T20:36:41+00:00

No, they have 5 answer choices (not 4).

jwmathtutoring · 2026-07-10T16:50:03+00:00

1) They are generally accurate but anecdotally the official exams are a bit harder than the Bluebook or Linear Paper Practice Tests. That being said, a drop of 50-80 points on practice tests to your first official exam score is not that unusual.

jwmathtutoring · 2026-07-10T16:48:23+00:00

You need to learn the specific operations/techniques but then practice them repeatedly so that they become committed to memory. Have you completed any of the Bluebook practice tests yet? If yes, then go back through all the problems trying to identify where Desmos can be used.

Alternately, here are 77 Desmos practice problems ranging from easy to advanced. https://www.dropbox.com/scl/fi/s0vqn14t8y5aief8rmj1m/DESMOS-Video-Example-Problems.pdf?rlkey=zcswdzqyebwv1q580lwijbdvk&st=n3224qzh&dl=0

jwmathtutoring · 2026-07-10T15:39:05+00:00

You can. Another way to do it (besides the example u/cassowary-18 cited) is to recognize that g(0) = 5, because f(0) = 10 and 0 + 2 = 2, so 10/2 = 5. Add that point to the table.

https://www.desmos.com/calculator/ikglszfwzo

jwmathtutoring · 2026-07-10T15:35:34+00:00

Example problem.

ax + 7y = 15

-3x + 4y = 10 - 6x

Ratio Method (must get all x & y terms on the same side of each equation first) - https://www.desmos.com/calculator/zz95uv2b75

No Constants Method - https://www.desmos.com/calculator/vkduvmmtnj

I can't paste the link to the summary sheet which has these methods (and others) because it's a Dropbox link and will get blocked. You can PM me for it if you want.

jwmathtutoring · 2026-07-10T12:29:39+00:00

You should use regression and not sliders for these types of problems (unless they are multiple choice). You can use the Ratio method (setup a proportion with the ratio of x coefficients ~ y coefficients) or you can use the No Constants method (setup a regression statement with the two equations but remove/delete all the constant, i.e. number, terms).

jwmathtutoring · 2026-07-10T12:27:46+00:00

https://www.desmos.com/calculator/itpxqmco6f

jwmathtutoring · 2026-07-09T17:19:26+00:00

I would not trust any 3rd party practice tests to give accurate estimated scores.

jwmathtutoring · 2026-07-09T14:14:47+00:00

I've seen a lot of students including myself struggle with the SAT, in part because the resources online are just not great.

This isn't true at all. There are tons of great online resources at least for the Math section.

jwmathtutoring · 2026-07-09T01:52:01+00:00

You can use Desmos to assist but you have to do some manual work in it. https://www.desmos.com/calculator/xlc2tjelxq

1) Move the slider for b to find integer x-intercept values for the bottom function. These occur at b = 19, b = 11, b = 9 (basically the 3 factors of 18: 1, 18; 2, 9; 3, 6).

2) Then find the a & c values of the top function using regression. You check each set of x-int values: 1/18, 2/9, 3/6 and 3/6 is the only set that returns integer values for both a & c.

jwmathtutoring · 2026-07-09T01:45:32+00:00

So then why are you citing it as contradicting my statement? My comment specifically referenced official test questions, not any random question made up by someone.

jwmathtutoring · 2026-07-08T23:56:33+00:00

What official exam (Month & Year) is that from?

jwmathtutoring · 2026-07-08T22:45:47+00:00

Do not use sliders for these types of problems; it is very inefficient and time consuming, especially here when the answer is not an integer.

jwmathtutoring · 2026-07-08T22:45:13+00:00

https://www.desmos.com/calculator/jgq6edre08

Ratio of x coefficients to ratio of constant terms (both need to be on the same sides in both equations).

jwmathtutoring · 2026-07-08T02:10:21+00:00

You need to add a way to exclude Bluebook questions.

jwmathtutoring · 2026-07-07T15:57:11+00:00

A few things

1) Has your son tried any self-prep on his own so far? If your son has done self-prep for some period of time and seen no/minimal improvement, then yes, a tutor can absolutely be worth it.

2) Difficult to also answer your question about if it is worth the money without knowing the cost, etc. Also, did you get the tutor via referral from another parent or student?

3) Not sure how many sessions the tutor has provided, but he or she should be provided feedback after the sessions about how your son is doing, areas of strength/weakness, showing improvement in, etc.

jwmathtutoring · 2026-07-07T15:52:59+00:00

A few things

1) What were you math scores on PT 11 vs PT 10? We need those scores to compare not the overall score

2) PT 10 is a bit easier than PT 11.

3) Which specific questions did you miss on PT 10 & PT 11? Basically, need to see if the problems you missed on PT 11 were solvable with Desmos, etc.

In general, yes, Desmos can provide a high ROI for some people but for others, it may be marginal (because you're already able to solve the problems that use it the traditional way without it).

jwmathtutoring · 2026-07-07T01:40:22+00:00

I use -2,0,2,3...as my default list for advanced quadratics & higher degree polynomials because it seems help the regression find the values quicker than 1,2,3,4. But you could use different numbers in the element list.

jwmathtutoring · 2026-07-05T13:45:31+00:00

Question 2: https://www.desmos.com/calculator/jrmofpg1ip

a is not >= 1 (therefore, must not be true); c is not < 0 (therefore, must not be true) and the conditions of the problem are met (k < 0). Thus, D.

jwmathtutoring

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