welcome back to the prep Pros YouTube channel my name is Matt in today's video I'm going to take you through an entire act math test now if you don't already know me I've been a professional tutor for the last 10 years I've gotten a perfect score in the Ace team multiple times have coached nine students to perfect scores many more to 34s and 35s on uh the HT maths test and I've actually even published my own act math book so I'm super serious about this stuff big test preppner and I'm really here to help you guys I help guide you guys to a much better test score now before you start this video I would highly recommend that you download this practice test which you can get for free on our website all you gotta do is go to the home page you can sign up for the free trial and ultimate HT course no credit card required and then you can get a download of this I would definitely say take a shot at this test before watching the rest of the video where I will take you through and show you how to answer all 60 of these questions correctly along the way I'm going to drop lots of really important strategies tips tricks and equations on many topics you need to know for test day on the AC team so let's go ahead and get started all right so we'll start here with number one now remember as you go through your math test in the difficulty increases so the first 15 20 Questions a little easier then a little more medium the last 10 or 15 will feel a lot harder you'll notice that increases would go through this practice test here as well so number one is just a basic exponent's question when we multiply exponents we multiply numbers together so we get 12. when we multiply exponents together we add so x to the fourth it's like x to the first so we add those together x to the fifth y to the fifth y to the fourth we add the exponents we get y to the ninth so our correct answer here is e number two is a probability question table below gives the exact probability of randomly selecting a straw of a certain color from a box of straws we're asked the probability of not picking red and not picking yellow so not red and not yellow we want to count the rest of the probabilities here if we add those together 0.3 plus 0.15 plus 0.1 we get 0.55 and we get our answer here of G number three the mean of four numbers is nine if three of the numbers are 2 3 and 11 what's the fourth number well to find the average we're going to do is we're going to add up all of the numbers we can call our fourth number X divided by 4 gives me a value of 9 because we know that the sum divided by the number of numbers which is 4 is going to give us an average of nine so to solve for x we multiply both sides by four so I get i'll combine these 2 plus 3 is 5 plus 11 is going to be 16. so 16 plus x equals 9 times 4 is 36 to solve for x we subtract 16 from both sides and get x equals 20. answer is e all right let's keep on going number four during a sporting event Larry Sandwich Spot track the number of sandwiches sold uh to each customer a total of fifteen hundred transactions were made the results are shown below how many customers purchase exactly two sandwiches okay so here we see 41 of customers purchased two sandwiches so if they're 1500 different transactions or customers we can do 1500 and find 41 which is the same as times 0.41 so of course here I'll go to my calculator it's always good to use your calculator make it easy um you're allowed to use I have a fancy graphing calculator you're allowed to use these any scientific calculator as well is also totally fine so here if we do that we get a value of 615 and an answer of J number five what is the value of x in the equation five-thirds equals x minus one fourth so here uh what we can do is there's actually a good way to cheat using your calculator if you want to we can actually we know that here x is equal to five thirds plus one fourth equals x so I can go action to my calculator and I can just type in Five Thirds so just make sure you do parentheses like five over three and then plus parentheses one over four so if we do that I'll do five over three plus one over four and then you're gonna get this weird number you get this number of 1.9166 blah blah blah keeps going now what you can do is there's a button in your calculator that lets you switch from fractions to decimals which is really helpful in decimals to fraction if you have a regular calculator you'll see this little F to D button on your calculator if you have a t84 like I have what you can do is you can press math and then once you press math you're going to see a button that says Frack if I do that hit math and then hit Frac my calculator will tell me that the answer is going to be 23 over 12 which I can recognize here is going to be 1 and 11. twelfths so the answer here is going to be e we can also do this algebraically I'll do it algebraically over here to do algebraically we have to make the denominators the same so here if I have 3 and 4 to add these we have to make them both divisible by 12. so if I have Five Thirds I have to multiply this one by four on top and on bottom if I have 1 4 I'd multiply this one 3 on top and on bottom so if we do the math here I get 20 over 12 plus 3 over 12 equals 23 over 12. 12 over 12 is 1 and we have 11 extras that's what we get to either so on number six here looking for the least common denominator any least common denominator question easiest way to do it is use the answer choices we're just looking for the first number 8 20 and 3 all divided into evenly uh 20 is not divided into 24 so that one's out 8 does not divide into 60. 3 does not divide into 80 the first number that all of them divide into is J you can just do 120 divided by 8 divided by 20 divided by three they all give us whole numbers all right number seven funky looking functions question they like these sometimes we have this weird f x y equals two x minus three y squared all you need to do is treat like regular functions question so for f 1 2 we're going to plug in the one where the x is the negative 2 where the Y is so it's just going to be 2 times 1 minus 3 times negative two I'll make it brackets instead this whole thing is going to be squared so 2 times 1 is 2. minus 3 times negative 2 negative 3 times A2 is gonna be plus six and then we are squaring this whole thing 2 plus 6 gives me 8 squared which is 64. so the answer here is e our number eight Antonio's paid 16 per hour for the first 40 hours of her work week with regular pay for each hour she works over 40 hours she earns one half times the regular rate how much does she earn in a week when she works 60 hours well we'll start with her first 40 hours we know for 40 hours she earns 16 an hour and then she works a total of 60 hours so she works 20 hours beyond the regular 40 and she gets 1.5 times her pay well we can do a regular pay of 16 times 1.5 it's a dollar sign to give us and we can of course again use your calculator make it easy so we can go boom 24 dollars per hour so that's how we find her total so we do 40 times 16 plus 20 times 24 which gives a total value of 1120 so our answer here is going to be G all right number nine is matrices question now matrices is a topic that a ton of students have never learned before in school or you might look at this if you look at this you're like what are these totally fine they're on the HT they're actually not too hard but again their top a lot of people have not learned or many other of you or others of you might have seen before but totally forgotten how to now if you need to learn or relearn maches uh in that same free trauma ultimate HT course I mentioned there's the entire uh basically videos of me teaching you everything you need to know about matrices matrix multiplication matrix dimensions Matrix addition subtraction and everything else as well so it's all in there it's entirely free it also has the entire chapter of matrices from my math book along with a bunch of practice questions so a great place you can go to learn exactly how to do questions like this now major tradition subtraction is actually really easy so all we need to do here is a plus three B now to do this all we need to do is stay in the same spot so it's just simple addition so a we'll start with the top left just stay in the same spot plus 3B so if we're doing a plus 3B it's just a which is negative 4 plus 3B which is times 2. so the top left spot of our Matrix is just do that math negative 4 plus 6 which is going to be positive 2. so at this point let's check the answer choices already don't for matrices never do all four of them so we can already go all right all those are wrong it's got to be D or E so let's say we do top right A plus three B well it's going to be a which is 3 plus three sorry we have that plus sign to the middle there it's a is our three plus three B which is five three plus three times five is fifteen so add 3 we get a value of 18 in the top right we can already tell the answer is e so again a really really easy topic that you can get a lot better at but a lot of students get stumped in these in HT so again check that free trial check out the videos you know exactly to do questions like this and harder ones you can see later in the test as well okay excuse me number 10 we have a midpoint question a b is located at the point C 310 in the X Y plane given that a is at negative 4 to what is B so we have to use our midpoint equation here also good to draw this out so our midpoint equation is X1 plus x 2 over 2 and then y1 plus y two over two and always on these questions I have to say give yourself a little visual so I'm not going to draw it all out but let's say Point C is at 310 so let's say it's over 3 and let's say up here is 10. so this is my point three ten point a is at negative three four so if this is my point negative 3 4 so this is point a this is point C which means that point B has to be somewhere up here so get this out of the way so we draw it so we can see it better so Point C again is at the point 3 10. okay so there's two ways to solve this algebraically you're using our graph I'll start with the graph so with the midpoint however far up and over we go we have to go the same amount up and over so here to go from negative 3 4 to 410 we go up six units and over six units because we're going from four to ten is up six negative three to positive 3 is over six so we have to again go up six and over six if we go up six units it's going to be 16 over 16 units is going to be 9 so our answer is H other way to solve this is I know one x coordinate negative 3 plus my other x coordinate over 2 has to equal the midpoint so one endpoint plus the other over two so if we solve this out I get negative 3 plus x equals 6 because I would multiply both sides by two now I add to both sides I get x equals nine one so that x equals nine we can eliminate a bunch of answers we could repeat the same thing for y so it would be my first Y is 0.4 plus my second one I don't know over 2 would equal 10. again we can solve this out it'll be 4 plus y equals 20 which gives me y equals 16. so either way works whatever one you're comfortable with works for midpoint questions all right number 11 we have some unit conversion they love this on recent acts so we're given this note we're going to have to use this as we solve in these unit conversion questions so we're told a Tennis complex uh is 450 feet by 288 and we're trying to find the area of this now we are told again I'll draw this out so we're told it's 450 feet by 288 feet and we have a conversion for acreage now let's first find the area of this an area is just length times width so we're going to do 450 times 288 to find our area which is 129 600. now to convert my area and this is feet squared which is the same as square feet I have to do some unit conversions so 129 600 square feet if you've ever done any chemistry or physics you've probably done this little cross down method we want to put our square feet on the bottom so oops sorry feet squared and our one acre on top anytime you're converting units you always want to make sure the units cancel so now all we do is multiply the numbers out so we do 129 600 we're going to divide that by 43 560 and we get a value of 2.97 which of course is our answer of three whenever a question says is closest to or approximately it's asking you to do some around it all right number 12 uh we're trying to find the solution of the system of equations so here a couple ways do this I like to use elimination so we have our equations three x minus y equals 10 and X Plus 2y equals one I can solve for x or y here we'll go ahead and multiply the top one by two so it becomes six x minus two y equals 20. the reason I did that is we can ignore this top one now when I add these together my y's cancel I get 7x equals 21 we can divide by 7 and I get x equals three so I know the x coordinate is three which already shows me my answer here is going to be f all right number 13 we just need to combine like terms so these are a little bit out of order erase this stuff to make it clear to see so we want to combine like terms so we'll start with our a cubed B terms we see them here and here so it's 11 and then it's a minus negative 5. make sure we distribute that so 11 minus negative 5 is plus 5 so it's 16 a cubed B let's do our a b squared terms it's seven minus 9 because it's minus plus we do minus so 7 minus 9 is going to be negative 2 a b squared and then we have negative 6A and 4A negative 6A minus 4 a is going to be negative 10 a so we've done that correctly always be careful with negative signs on test I love to trick you that stuff so all we're going to do here is pick which one is correct and we can see the only one that matches exactly what we wrote is going to be B all right number 14 is a circle equation so all we need to do is know how the circle graph works so here we have x squared plus y squared equals 64. now x squared plus y squared is a circle with a center at the origin and a radius of 8 because our Circle equations are x squared plus y squared equals r squared when a circle is at the orange so if we kind of think about drawing this out what the circle would look like there we go so it's going to go basically eight units left right up and down so it's going to go to the point eight zero zero eight negative eight zero and zero negative eight so all we need to do is pick the one that has two points from that so those are going to be our y intercepts all right 15 uh we need to factor this equation so here we can do this in a variety of ways some of you might have learned like a box method where we set it up like this some of you might do an X method some of you might just do some guess and check I'm just going to go ahead and kind of do I'll do the box method why not so we know x squared minus 40 now I have x's on the outside I need two numbers that multiply to 40 and add to multiply to negative 40 and add to positive 6. so here I can do plus 10 and negative 4 because I get 10x and negative 4X so my factors are X plus 10 and x minus four so C is the factor that matches there all right 16 Q is real number subset 64 is less than Q squared is less than 8 81 which the following is a possible value of Q two ways to do this one way backs off just take the answer choices and plug them in and play guess and check if you do that and play guess and check G is only one that's going to work other way to solve this is recognize the pattern here 64 is the same as 8 squared is less than Q squared 81 is the same as 9 squared so to be between 8 squared and 9 squared Q needs to be somewhere between eight and nine of course 8.7 is our only value between 8 and 9. all right 17 we have absolute value stuff here remember the absolute value turns whatever's in the absolute value bars positive so an absolute value of negative 6 becomes six minus one half we need to simplify the terms inside first 10 minus 18 is going to be negative 8. the absolute value of negative 8 turns into positive eight so we get 6 minus one half times eight is four six minus four gives me a value of positive two So my answer here is going to be C all right 18 other average question uh average score of seven students who took a biology test is 81. I'm gonna tell you about the highest score if Mateo scores removed from the group the average score of the other six students is 79 what was Mateo's score on the mileage test now this is an example of another type of question that students often get stumped by so if you find this tricky uh there's also a free trials ultimate ACT Math course which is basically a over 30 hours it's actually close to 35 now uh videos of me going through and teaching you my entire act math book so it has tons of videos of me teaching all the concepts it also has videos of me showing you how to um answer every single question in the entire math book so tons and tons of practice again you guys can get access that entire chapter for free there's a link down below uh showing you exactly where you can sign up for all of those free trials now with this one we have to learn how to work backwards so remember our average is equal to the sum divided by the number of things and I know that seems you're probably like averages or easy map we look at this question seems kind of tricky so we have to often work backwards now we know seven students got an 81. so I know the average of is 81 for seven students so some number I'll call it X over 7 is 81. we can multiply both sides by seven I'll use my calculator 7 times 81. it's 567. so I know that 567 equals X and what this represents is this is the sum of all seven students okay so we know what everyone's score added up is we don't actually know their scores but in order to have an average of 81 it has to be 567. now once I take Mateo score away I know the other six students average is 79 so I can repeat that so I know that your average is 79 some number I'll call it y divided by 6 is 79. so I can do the same thing I can multiply all the sides by six six times 79 gives me 474 equals y and this y represents the sum of the six students so this was all the students together 567. 474 was the six students left over after we took my potato score so to find Mateo's score we do 567. minus 474 so again huge calculator make it easy and we finally that he got a score of 93 answer is H so again not hard in terms of math but tricky in terms of knowing how to set it up very uh classic kind of thing for the AC at times you'll see math that feels easy but you're just like I don't really know what to do with it all right 18 . uh we were asked to find the perimeter of our kite we have right triangles here so to find the perimeter we need to find the outside angles so we'll start with uh this one here we can use our Pythagorean theorem so to find X we know that x squared equals 18 squared plus 4 squared so it's like a squared plus b squared equals c squared so 18 squared is going to be 324 4 squared is 16. so we know that x squared equals 340 which means x equals the square root of 340 which again choose my calculator make it easy I get a value that's around 18.44 okay so I know that my top is 18.44 my bottom is 18.44 now what about our other side length here well this is four this is four what's my hypotenuse here we can do our same deal a squared plus b squared equals I'll call this x again x squared so 4 squared plus 4 squared is 32 equals x squared so the square root of 32 equals my new value of x so the square root of 32 is going to be 5.66 so we know our values here are going to be 5.66 and 5.66 if we add these up 18.44 times 2 plus 5.66 times 2 I get a value of 48.2 of course which is closest to approximately 48 the answer here is e all right 20 we have our tricky exponents rules so the important thing to note here is how to deal with this now we should know our fractional exponent rule x to the A over B is equal to the B root of x to the A so this is an important rule to memorize and understand for test a so with this one I can rewrite this as x to the 45 over 3. to the one third now x to the 45 over 3 simplifies x to the 15th because 45 over 3 is 15. to the one third now when we do a power to a power 15 to the one-third we multiply so 15 times one-third is five so the answer here is G it's just x to the fifth fish tank 4 30 PM there's no water and it fills the tank at a rate of five and a half inches per hour with a hose at 7 15 what's the depth well we know it's five and a half inches per one hour we can always write rates like this and how much time has gone by well to go from 4 30 to 7 15 5 30 1 hour 6 30 2 hours 7 30 would be three if we take away 15 minutes it's two hours 45 minutes which we can write as 2.75 hours because 45 minutes is three quarters of an hour so we can multiply this by 2.75 hours the hours cancel so we will just get our units here so if we do 5 times 2.75 I'm sorry five and a half we should make 5.5 times 2.75 we get a value of 15.125 looking at the answers we can already tell it is d 1 8 is the same as 0.125 all right 22 we got some geometry here each side of a square has a length of 60. so we'll sketch out a square to make it easy so each side is 60. right triangle EGF has a height of 40. I'm not drawing each of scale just for labeling up so if the square and right trial have equal angles what's the length of the base all right sorry not equal areas equal equal areas on equal angles okay so area of a square remember is just side squared so we do 60 times 60. so our area of our square is 3600. now the area of our triangle remember is one half base times height so I know the area has to be the same so 3600 has to be equal to one half my base I don't know of X and my height is 40. so what we can do is we can simplify 3600 one-half times 40 is 20. so we can do 3600 divided by 20 and we get x equals 180. so our answer here if I finish that out is going to be f all right 23 we have some vectors so vectors do appear on the act as well at times this is another example of a topic that a lot of students might not have seen before but you do need to know this for test day I would say it's on maybe 25 30 of Acts I would say maybe like maybe a little more that depends honestly recently there's been a lot more vectors questions so good topic to know now here we have to know how to add vectors now to add vectors there's a little tip to tail method that you can learn so let's say this is my first Vector a and my second Vector B to do this we basically draw Vector a and then we start at the end of vector a and draw a vector B so this is basically a little tip to tail method a plus b where we end up I'll actually drawing a solid line the resulting Vector is going to be our a plus b so that Vector I drew here is going to be the sum now how do we actually write this this whole i j thing well what this is is I is like the X component how far left or right you go so you can think of this as our I and the vertical is our J so our initial Vector the one that I labeled as a over here we could write this since we go over 2 and up 4 as 2i plus 6 J our second Vector over here in i j notation would be negative 3 I plus 2 J and our final Vector the a plus b that we did here goes left one so it's negative one I or just negative I and then up eight so the answer here is going to be a again that seems a little bit confusing it's totally fine it's going to take a little while as far as getting used to how to do these if these are brand new to you but we can solve these by kind of doing that tip to tail method or if we understand this whole eye change notation if we add these just add the X components 2 and negative 3 gives us negative I the 6 and the 2 gives us the 8 J all right 24. uh we're trying to find the tangent of angle B so if we're trying to find the tangent of angle B we need to know the opposite and the adjacent that's our good old Soha TOA so to find the opposite we have to do some math pyth diagram theorem so let's say our opposite side here I'll call this side x so we know that 13 squared plus x squared equals 14 squared so we can do the math 13 squared is 169 plus x squared equals 14 squared is 196. if we subtract that 196 minus 160 9 we get 27. so if I take the square root of that I get x equals the square root of 27 we can simplify square root of 27 if we do our little factor tree it's 9 times 3 and then 9 is 3 times 3. remember to simplify we're looking for pairs to put in the front anything by itself stays underneath so our side length our opposite has a value of 3 root 3. now our tangent of angle B is opposite 3 root 3 over adjacent 13. so our correct answer here is going to be G important to know how to do again a variety of steps know your sohcahtoa stuff and also understand how we simplify these guys as well all right number 25 we have logarithms here now favorite way to answer logs questions on the test is to use our little change of Base rule so our change of Base rule is if we have a log base a of B I can just type my calculator log B over log a which means for any of you who aren't as familiar with logs or haven't done logs much before we can actually solve let's say log base 4 of 16. all you need to do is type into your calculator log 16 over log four it'll tell you log base 4 of 16 is 2. if you type in log base 2 of 16 you can just type it in as log 16. over log 2. it would tell you that that is going to be 4 so 6 times 2 is 12 minus 4 is going to be 8 and our answer here is d for those of you who have done logs just a very quick refresher if I do log base 4 of 16 it equals 2 because 4 to the second power equals 16. uh similarly log base 2 of 16 equals 4 because 2 to the fourth power equals 16. but again for those of you guys who are new knowing this rule is super helpful if you have a fancy calculator I have here TI-84 you can press math and then if you scroll down you will see something that says log base you can use that as well it'll let you just type actually these directly in all right let's keep going 26 inequalities uh so we have to solve our algebra here so let's combine like terms add 2x to both sides add 5 to both sides so we get 11 x is going to be less than 13. all we need to do now is divide both sides by 11 x is going to be less than 13 over 11. so here we have our answer is going to be G remember with uh inequalities you only flip the direction of quantity when you're dividing by a negative sign all right 27 to get to the final game of the basketball tournament the Buffalo Bulldogs must win two games in the first game they have a 75 chance of winning second game they have a 40 chance of winning what's the problem they reach the final so all I need to do here is multiply these so our first is a 0.75 chance of winning the first game the second one they have a point four chance of winning so all you need to do to find that you multiply them together so if we have multiple events like multiple say roll dice twice you have to multiply to find the outcome same deal here we multiply our two probabilities we get 0.3 which is the same as 30 answer here it's B all right 28 we got some angle stuff so we're told that a b c this whole thing is 126. a b e this part here is 67 degrees and DBC this part here is 83 degrees we're trying to find what is this little middle piece okay so we know that if we do 67 plus 83 if we add those up the 67 degrees plus 83 degrees gives me a value of 150. now I'm only supposed to have 126 so we have to subtract to find out what the overlap is that we need to take away so our answer here is going to be 24 degrees now I can diagram that out more thoroughly so you guys can see exactly why so again let's say that this here is 24 degrees right so if I do my math out if this whole part um this is DBC if this is 83 degrees we do 83 minus 24 which gives me 59 degrees over here just make sure I did this right it might have done this wrong in my head um if the whole thing is 67 degrees we do 67 minus 24 which is 43 degrees 43 plus 24 plus 59 gives me a value of 126 so cool I did correctly now you could also if you didn't really know what the shortcut was you could also just back salt you could guess and check with the answer choices and just plug them in like I did here and we can calculate those values and see do all the angles we get add to 126 here we get that it works so our answer is H if you tried it wasn't H you could always try a different value until you figured out which one it was all right 29 is a coding question so we have a code it's five characters long three letters two numbers so whenever doing these questions I like to kind of as you see here give myself a visual and all I need to ask yourself is how many options are there at each spot so it says the no code contained letters o i or Q or number zero one and they cannot be repeated okay so the first spot in the code there are 26 letters in the alphabet but we can't use o i or Q so there's 23 options for the first spot if let's say these are our letters letters letters and these would be our numbers and numbers now it says the letter is going to be repeated so once I put one letter here I only have 22 letters I can pick from for the next spot once I put a letter there if there's 21 letters left for the third spot now numbers I can't use zero one so there are 10 numbers I could use 0 all the way up through nine but I can't use those ones so there's eight options for my first number I cannot repeat the number then there is seven to solve for the total possibilities we multiply these values together so we've got to pick the one that matches that which we see here is our correct answer of a all right number 30 uh we have a Venn diagram question so 30 students we have 14 students play soccer 10 play basketball four play both how many play neither so we'll make a little Venn diagram here I know this is something you guys might have not done for a while so Venn diagram this is kind of our entire area and we're going to have our two circles kind of representing our AR parts so let's say this is going to be soccer here and let's say this is going to be baseball all right so the trick to these questions is start with the both we know four people play both now 14 students play soccer which means 10 students are over here who play only soccer my whole circle for soccer has to be 14 four play both so 10 only play soccer now similarly for baseball 10 play baseball so that means six play only baseball so if I add these up ten plus four plus six I've accounted for 20 students so far and there's 30 students total so that means there have to be another 10 students out here who played neither so the answer is going to be J all right 31. uh a red foot uh red foot redwood tree stands on level ground from a point that is 400 feet away that is same level as the base the angle of elevation at the top is 38 degrees so let's say this over here vertical is our yeah this is our tree our nice tree so we know the tree is 400 feet away and the angle of elevation is 38 degrees okay so now if we are going to be solving this well we need to figure out is how and here angle of elevation is always like the bottom one in this uh in this situation so what we need to do is we basically should just set up and do some sohcahtoa so if it's 400 our angle of elevation that we're looking at the top of the tree is 38 degrees how do we find this length over here well this is going to be tangent because if we're going from 38 we have our opposite and our adjacent so how we set this up we're going to say that tangent of 38 degrees equals our X over 400 to solve for x we multiply both sides by 400 so I get 400 times the tangent of 38 equals x so if we do 400 tangent of 38 in your calculator we get a value of 312 Which is closest to 315. all right uh repeating patterns questions so what is the 417th decimal after the repeating decimal 0.904326 now how do we do these questions well we can go to the back of the pattern so what's going to happen is we repeat this pattern 0.904326 904-326 and so on every time we get to six this is the sixth one after this is the 12th one after we're going to hit six every multiple of six so I need to find a multiple six near 4 17. so what I do is I do 417 divided by 6. I get 69.5 so I can round that up around that down around down so guys at 417 divided by 6 gives me 69.5 I can round this down to 69 and multiply it by 6 69 times 6 gives me 414. so what that tells me is that 414 is going to be a multiple of 6. so it's going to be here in the sequence or here in the sequence at the end I need to count 2 4 17. so 414 is right here so 415 is going to be a 9 then 416 is going to be a 0 and 417 is going to be a 4 so the answer is J all right number 30 we are asked to find the area of the Shaded region so we can start with the area of the whole rectangle which is going to be the length times width so 25 times 12. so 25 times 12 is going to be 300. we need to subtract the area of the circle now the trick here is we know the circle has the same height as the rest of the box which means the radius of the circle is 6 and the area of a circle is pi r squared our Circle has a radius of six so our area is equal to 36 Pi which we can use our calculators to tell us is 113.09 so we can do 300 minus our 113 which gives me an area of 180 so answers C 34 we got a composite function question find F of G of 2. I actually do the inside out so start with g of 2 and we're to find G of 2 we plug 2 into the X's of our function so G of 2 is going to be 2 squared minus 5 times 2 plus 3. 2 squared is four five times two is ten plus three so four minus 10 is going to be negative 6 plus 3 is going to be negative 3. so now I'm sure that math writes 4 minus ten plus three yeah good so now we do is we can replace the G of 2 with negative 3. so all we're doing now is finding f of negative 3. so we can plug in negative 3 for the X's here so it's three times negative 3 squared minus 2 times negative 3. order of operations 3 times negative 3 squared is 3 times 9. negative 2 times negative 3 is plus six three times nine is going to be 27 plus 6 is 33 answer is H all right 35 we have to know our circle equation we talked about the easier version of this earlier our full circle equation is x minus H squared plus oops y minus K squared equals r squared so we're told the radius we're told the center so we can just write out our equation so it's going to be x minus negative 4 is plus 4 squared plus y minus 2 squared equals and then it's going to be 3 root 5 squared 3 root 5 squared 3 squared is 9 times root 5 squared is just five so we get a value on the right side of 45 so we're looking for X plus 4 squared y minus 2 is what equals 45 so our answer here is going to be b c now we've seen a couple C's or H's in a row which brings up a good point for test day don't worry about patterns sometimes it is the same bubble spot like four or five times in a row so just do the best you can on every single question all right at Frankie's Surf Shop the price of a t-shirt is twenty dollars price path 17. James spent two hundred and eighty two dollars on 15 items and you only purchase t-shirts and hat how many hats did he buy now this is a system of equations question a little bit of a word problem we have to turn to equations now let's call t-shirts T and hats H now what do we know well we have two totals here total items so I know the t-shirts plus the hats have to add to 15 and total price well it's twenty dollars for each t-shirt Seventeen dollars for each hat that adds to 282 dollars okay from here we're solving for hats so I want to get rid of the t-shirts I'm going to multiply the whole thing by negative 20. so I get Negative 20t minus 20 H equals if I do 15 times negative 20 negative 300. I did this because my T's cancel and I want to solve for H I get Negative 3H equals negative 18. I can divide both these by three I get H equals negative 6. answer is G all right 17 we have scientific notation so scientific notation um what we need to do is we have termites in a nest he has been studying so we want to try this time rotation now side station has to be between 0 and 10 so this is 45 so in order to turn the side notation I have to move the decimal one point to the left so it has to be 4.569 times 10 to whatever this m value is now if I moved it one to the left what we're doing is we're adding 10. because to go from 4.569 to 45.69 I have to multiply by 10 so 10 is the same as 10 to the first power so we have to add 1 to multiply by 10 so the answer here is going to be B another easy way to solve this question is I can plug in a value for M let's say m equals one or two you can use that as a way to help solve as well that was hard all right percents we know X is 30 of Y so we can write that as x equals 0.3 y y is a hundred and ten percent which is the same as 1.1 times z x is what percent of Z well the trick here is we have y equals 1.1 Z so I can plug that in here for X so x equals 0.3 times we're plugging in 1.1 Z for y so we can do 1.1 times 0.3 which gives me x equals 0.33 Z 0.33 is the same as 33 percent k39 of the audience members of the piano recital fourth seventh drove a car the venue of the remaining audience members two-fifths took a bus the piano recital three tenths took a bite or wrote a bicycle what fraction wrote a bicycle to piano recital so we know four sevenths drove a car and it says of the remaining audience members so 4 7 drove a car means three-sevenths were the remaining and then of those three sevenths three tenths wrote a bicycle so to find how many total Rhoda bicycle we have to multiply these so we get 9 over 70. the answer of E all right 40. Amanda drives around a circular track with a radius of 3.9 miles seven times what's the distance all right so we need to find the circumference circumference remember is 2 pi r so 2 pi times 3.9 so we can use your calculator you can do 2 pi times 3.9 which gives us a value of 24.5 we then need to multiply this by 7 because we're driving around at seven times multiply by 7 we get a value of 171.5 answer is J 41. uh more geometry here kitchen floor that is 13 to third feet wide by 16 feet long as we covered by square tiles if each tile is 16 inches by 16 inches how many tiles are going to be needed to cover the floor well important to these questions we want to turn them all to the same units so I'm going to turn these all to inches so 13 and a third feet what we do is we do 13 and 1 3 feet to convert we do 12 inches in one foot so I can do 13 and a third times 12 which gives me a value of 160 inches for 16 feet I can do the same thing I can do 16 feet times 12 to turn into inches which gives me a value of 192 inches now if I kind of sketch our kitchen floor out and always good to give a visual if these are questions that you can't just immediately know how to do so it's going to be 160 inches wide 192 inches long and we basically have these little tiles we're setting up easy way to do this is area so I can find the entire area which is going to be 192 times 160 which is going to be 30 720 square inches now each tile is 16 by 16. so the area of each tile is 16 times 16 or 16 square which is 256. to find out how many tiles we need we divide so I'm going to do my 30 720 divided by 256 which tells me I need 120 square tiles so the answer here is going to be e all right 42 we have exponents rules so here we need to simplify this so let's first distribute our three in the first one and makes you also distribute it to the number so 4 cubed is going to be 64. it's going to be a to the negative 9 B to the 6 because we multiply over 16 a b to the negative 4. now here's a good trick I like to use if we have negative numbers we can switch them to the bottom or the top and turn them to be positive so it can be 64. B to the sixth and then B to the fourth because we had B to the negative fourth and the bottom we move it up on the bottom it's 16 a times a to the ninth because we moved that negative 9 to the Bottom now if we simplify our numbers 64 divided by 16 is 4 on top we add the exponents we multiply so B to the 10th over a to the 10th it's like a to the first times a to the ninth we add them so here we get our correct answer of J all right uh number four ratio of sorry number 43 try it again ratio of four sides of quadrilateral quadrilateral are one to four to six to seven the perimeter is 234 what's the length along the side now I'd say there's a little X trick on these so we can think of the lengths here as like 1X to 4X to 6 x to 7x I don't know the actual side lengths but if they're in a proportion of one to four to six to seven we have to multiply all those values by the same number now we know the perimeter is 234 so I can say that my 1X plus my 4X plus my 6X plus my 7X adds to 234. if we combine those one plus four plus six plus seven X gives me 18x equals to 34. I can solve by X by dividing by 234 divided by 18 which gives me value of 13. now it asks for the longest side the longest side was our 7x so to find the longest side we do 7 times our x value of 13 which gives us a value of 91 and answer of a so that extra is really helpful if you ever have a ratio and a total like we have here all right 44 a little bit of Statistics um this is a talk that a lot of students struggle with because one that is not taught as much in school so but is it this is one that's in the book that I have it's a really important one to learn again if you're true that's really high scores so here 400 people are asked to randomly select a number from 1 to 30 after analyzing the survey responses it was found that people in the survey are more likely to select a number less than 10 than they were to select number greater than or equal to 10. which of the following descriptors best characterize the distribution of the numbers from all the people that participate in the survey and we have a uniform normal bimodal skewed left skewed right now I'll kind of draw these out so I'll start with uniform so uniform distribution might be let's say if we're just going to roll the dice let's say we have our different values it might be just a straight line across a normal distribution appears on like a bell curve in math class or in science this is a normal distribution where it's like evenly uh kind of distributed maybe something like height is normally distributed so uh I guess not really evenly it's more there's like a Center Point like a lot of people are like average height some are taller some are shorter bimodal basically means you have what are called two modes so it's when you have like almost like two peaks so like this would be bimodal maybe if you were graphing um say how many people are in a restaurant during the uh times of day it might be there's a lot of people at lunch and a lot of people at dinner but there are fewer people in between uh skewed left is going to be when we have the tail to the left and more of the data to the right so this is going to be R skewed left the skew is where the tail is skewed right is going to basically be higher on the left and the tail is going to be on the right so that's our skewed right so here and again if we're graphing this we have numbers one through Thirty and it says people are more likely to select numbers less than 10. so if we graph this people are more likely to select numbers let's say this is where 10 is they're more likely to select numbers less than 10 than they are greater than 10 so if this is our 30 and this is our zero what we're going to see is a skewed right so the answer here is K all right 45 we're trying to find the area of this in terms of X so what we need to do is figure out what the length of this side is now this is a 45 45 90 right triangle which means it's going to be and isosceles right triangle which means this entire length is X from top to bottom so that means that my length here from just the top bottom there since this is 2 is equal to x minus 2. now from here area is length times width so area is 2x Plus 3. times x minus 2. we just have to foil this out so we get 2 x squared minus 4X plus 3x minus 6. if we simplify it I get 2x squared minus x minus 6 answer is d all right 46 length of rectangle increase by 20 width is decreased by 45 the new area is what percent of the original Okay so this is a good example question that seems really tricky to solve and I see something here that I call substitution so let's just pick some values to make this question easier now since you're doing percents let's make both sides of our rectangle 10 why not you can pick whatever numbers you want it'll work now our original rectangle has an area of a hundred what about our new rectangle well it says the length is increased by 20 so the new length is going to be 12. we would multiply 10 what you do is multiply by 1.2 to increase by 20 if we're going to decrease by 45 percent it's going to be six sorry not six five point five because we're multiplying by 0.55 so now what I can do is I can find the new area so I can do 12 times 5.5 the area is 66 so what percent is it of our original well it's 66 answer is J our math way of doing this our original area is length times width our new area increasing by 20 is 1.2 length decreasing by 45 is 0.55 W which means I get 0.66 length times width and this tells me it's 66 so definitely a tricky question between plug-in numbers it makes it much easier all right which the following number is the solution to the equation 5x squared plus X plus two we see these answer choices which immediately tell me we're going to be using the quadratic formula so remember our quadratic you have to have this memorized negative B plus or minus the square root of B squared minus 4 AC all over 2 a so I just got to plug in our values so here it's going to be negative 1 plus or minus the square root of 1 minus 4 times 5 times 2 all over 2 times 5. so I get negative 1 plus or minus the square root of 1 minus 4 times 5 is 20 times 2 is 40 minus 40 over 10. so here I get negative 1 plus or minus the square root of negative 39 over 10 negative 39. you can't do the square root of a negative number so we have to take out an I so we get negative 1 plus or minus I root 39 over 10. so here we can see one of our answers B matches with f important not to use the quadratic formula so I'll just memorize also important to understand how uh complex numbers work all right 48 we are given this weird looking Hotel we're told it's 120 feet long 72 feet wide has a surface area of 7950 depth is four feet what is the total volume in square feet of the uh pool here so if we're going through and just trying to find the volume of this what we need to do is we have to use basically our volume is equal to basically base times height equation now the B here represents the area of the base so it's basically like we find whatever the area is and multiply it by the height so here the area of this whole base we're told is 7950 so the volume is 7950 and then the height is four feet so that's what we're going to do so 7950 times four gives us the volume which is 31 800. all right 49 which one is equivalent so to do this we have to understand how to make a common denominator we have to do we have to multiply the first one by x minus two on top and on bottom multiply the second one by three X on top and on bottom this is going to give us a common denominator so if I simplify this I get 7x minus 14 over 3 x squared minus 6X plus 4 times 3x is 12x over the same thing 3x squared minus 6X so now the denominators are the same I can combine my like terms here so if I have 7x plus 12x I get 19x minus 14 over 3x squared minus 6X So my answer here is going to be B all right number 50 we have a matrix question now this is a definitely a more advanced Matrix question has to do with multiplication again remember I have the free trial ultimate act course where you can learn exactly how to do everything with matrices so there's a link in the description down below where you can learn how to solve questions like this this is a really hard question more advanced as we will see towards the back of the test so here we're given two classes of first graders on a field for the Baltimore aquarium the first class has six chaperones and 34 students the second uh school has eight chaperones and 42 students so if adult tickets are 60 student tickets are 18 which one represents the cost in sales for each of the classes so here we have to kind of figure out what's going on now measure multiplication I'm not going to teach all of it right now like I said it's in the free trial but Basics here we can start with are the dimensions so we have to make sure the dimensions work our top ones are a one by two and a two by two so we check our middle values here and it works we'll get a one by two Matrix um in the bottom we have a two by one and then a two by two which is going to give us an impossible Matrix because the middle numbers don't work so we can already tell that J and K are going to be correct now what we need here is we need to make sure that the numbers line up properly matrix multiplication is a combination of working across and down and again if this seems confusing if you haven't learned major multiplication it's going to seem a little confusing until you go learn exactly how all this stuff works but we want to make sure if we're going through our first class has six adults and 34 students so the six adults are each 60 so I want to see six adults times 60 and then the 34 children are each 18 so I want to see that to find the total for say my first class so if I'm going across and down I need to see again our 60 here represents the adults the 18 is going to be the students so correct answer ends up being H because when I'm doing multiplication if I work across and down it'd be 60 times 6 which is our price for our adults and then 18 times 34 which is the price for the students for the second class when we go down our second row here it'll be oops 60 times 8 for the adults and then 18 times 42 for the students so again that's how we get to H like I said I know the explanation is not going to make you feel satisfied if you've never learned matrix multiplication this is a more advanced example you have to learn the basics how many multiplication works this is about as hard as they can make matrices on the test because it's a conceptual question not one you can just solve with numbers all right 52 uh they love law of signs law of cosines in the test makes you know both of these this is a law of Science question this is a more advanced trig so Law of Sines is if I have a triangle actually draw the triangle first so if I have a triangle that looks like and again this is one that if you've never learned this before it's going to be a little bit confusing so if this is my side length a side length b side length C the rule is that the sine of angle a over side length a is equal to the sine of angle B over B which is equal to the sine of angle C over C it's basically just this rule for any triangle now I'm asked here to find out how many fence posts I need if we're going to put one every 20 feet so I need to find what these side lengths are and with law of signs we're always going to be looking for pairs of angles and side lengths across to use so I'm going to go ahead and start with solving for let's say this angle X right here okay so I can use these two pairs so I can say that the sign of 42 over x equals the sine of 840 over sorry try it again sine of 55 over 840. so to solve for x we're going to cross multiply so I get 8 40 sine 42 equals x sine 55 to solve for x I divide both sides by the sine of 55 which gives me I'll put it up here x is equal to 8 40. sine 42 divided by the sine of 55. okay so we solved for X now I need to solve for y so I'm a racist give myself some room so to solve for y we have to find this angle so that angle is 180 minus 42 minus 55 so it's going to be 83 degrees so now we can use two pairs so I'm going to use my same 840 55 and my Y and my 83. so I can say that the sine of 83 over y equals the sine of 55 over 840 we can cross multiply and solve 840 sine 83 equals y times the sine of 55. again divide by sine 55 to get our y okay so we find out we know what y and x equal so now to find the perimeter I need to add them up so I have to have 840 plus this plus this and then I have to divide it all by 20 because once I find the perimeter I'm asked to find how many fence posts and we put one every 20 feet so looking at the answer choices we have to have one that's divided by 20 and we have to have our 840 plus our 840 sine 42 over 55 plus our 840 sine 83 or 55 it's our correct answer here is going to be C again definitely a tricky question make sure if you haven't learned Law of Sines law of cosines it's one you add to your list to learn a really important one to understand okay uh 52 here we have complex numbers so to solve for complex numbers uh these are ones that are on the test one good thing to know is if you guys have a fancier calculator I have here there's actually an i button at the bottom right above show you where the decimal point is so you probably can't see if there's an i button right above that so in a question like this we can actually if you have this calculator once we solve for x plug it in so I can subtract one from both sides which gives me X times 1 plus 3i equals 2. and then I get x equals 2 divided by 1 plus 3i now again if you have a fancier calculator here you can literally type this into your calculator and then you can hit math and hit the Frac button and it will literally tell you which of these answers is correct which of course is really useful so if you have again that fancier calculator if you have an i button use it it will do the math for you now if you don't this is a hard question because you have to know something called the complex conjug we can't have eyes on the bottom of a fraction so we have to multiply by the complex conjugate which is we're going to switch the middle value so here I get 2 minus 6i on top on the bottom if I do the complex conjugate the middle terms cancel out and I just get here 10 on the bottom because if I do one plus three I times 1 minus 3i I get 1 times 1 is 1 I get minus 3i plus 3i and then I get plus 9 I squared sorry minus 9i squared I squared is negative 1 so this whole turns into plus nine which is how we get 10. if I simplify this 2 over 10 is going to be one-fifth and then it's going to be minus three fifths I so here we get an answer of K all right uh 53 this is a weighted average question so Imani goes into bicycle ride for 60 Minutes first 20 minutes rides 22 miles per hour next 15 rides 28 miles per hour final 25 rides 20 miles per hour what is close to her average pace now weighted average questions they seem really hard but they're actually easy we can solve this in one simple equation again averages is in the free trials My ultimate ACT Math course the whole chapter for my book as well as videos of me teaching you how to do questions like this and other really difficult questions uh and the whole again like I said the whole chapter of um me teaching and also all the practice questions so how do we do this we'll use weighted average we're going to do is basically take the time 20 minutes and the speed time 15 minutes pace 28 time 25 minutes Pace 20 and we're going to divide that by the entire amount of time 60 minutes and then I'll get it straight to the answer so we do 20 times 22 plus 15 times 28 plus 25 times 20 and we get a value of 1360 you divide that by 60 and we get a value of 22.66 repeating which rounds to 22.7 so our correct answer here is going to be C okay 54 is to do with probability here so we're given all this table information and we're said two customers are picked from the sample at random and then given that no customer is chosen twice what's probably both customers from the same age bracket now in order for this to happen we have three outcomes that would count so we can have the probability that we pick two people who are 16 to 29 plus they'll probably picked two people who are 30. to 49 plus the probably we pick people two people who are 50 to 75. now let's start with 16 to 29 here so what's the problem I picked two people well the first person I pick it's 105 out of the total is 290. now the second person I've already picked one there's only 104 people left out of 289. we can repeat that for 30 through 49 there's a 165 total people out of 290. once I pick one there's one fewer person from each category so it's 164 over 89 with our final one there's 20 people out of the 290 and then multiply that by 19 over the 289 so putting all that together we add those which is our value of K here is our answer okay 54 we got a rate question so 1.2 seconds for an objects to travel 200.4 feet to the nearest mile per hour what's the speed so we can do distance over time so we can do 200.4 feet over 1.2 seconds now I got to convert to miles per hour so I can first convert seconds to minute we know there's 60 seconds in one minute I can then convert minutes to hours there's 60 minutes in one hour so our seconds cancel our minutes cancel I need to convert feet to miles so I know there's one mile for 5280 feet so the feed cancel so we're left with our miles per hour so our units all work out so we need to do the math now so I can do 200.4 times 60 times 60 divide that by 5280 and we'll get a value of 136.64 answer is C R56 we have to know how an ellipse works if you've never seen ellipses for this explanation might be a little bit confusing but I'll go over the basics which is our lips quasin is x minus H squared over a squared plus y minus K squared over B squared equals one here the center is at h k the a value we can think of I think this is like the X radius it's how far left or right we go b y value is like the Y radius so you have to have this equation memorized for testing case you see ellipses towards the back they do appear they'll actually run those last 10 or 15 questions so we can kind of sketch this out to find out what it looks like where the major axis is so the center here is at positive three negative four since it's x minus 3y plus four so we see our Center is here at 3 negative four the nine tells me that a value is three because it's like our a squared which means our ellipse goes three left and three right and then the B value down here is five because it's 25 so it means it's going to go up five units and down five units so this is roughly what not a very good drawing here but this is just roughly what the ellipse will look like the major axis which is what it's asking for is the long axis so here it's going to be the end points at the top or at the bottom the one at the top is up five units it's at three one one at the bottom is down five units at three negative nine so our answer here is going to be h 57 16 tennis players showed a doubles tournament what's the maximum number of two player teams so basically what's the maximum number of ways I can pick two people out of 16. this is a combination it doesn't matter which order I pick people in they're on the same team so this is 16 C2 your calculator has this you might see a little NCR button for combination if you're using a TI-84 fancy one like me what you can do is you can click on the math button and scroll over to prb or prob and you'll see an NCR so we can do R16 and then you can do c uh R is how you're picking which is two and we get a value of 120. so make sure you understand how to do permutations and combinations for the test as well 58 we have a uh Roots question to find which one is equivalent so two ways to solve this first I'll solve this algebraically which involves splitting up the root so we can split this into root 4X over root y minus root y over root X to combine these I need to make a common denominator so I can multiply by each other so I can do root X by root X on the first one root by root y in the second one which means that I can now simplify these so the left one I get root 4 x squared because I can multiply the X and the 4X and then I get root x y and then on the other one I have a root y squared and again root X Y I made the denominators the same so we can combine these on Top Root 4x squared minus root y squared over root X Y I can now simplify these root 4x squared becomes 2x root y squared is just rot Y and then I just have a root X Y which means my answer here is going to be J now our second way to solve this equivalent questions we can also plug in values let's say I pick x equals 1 and y equals 2 is my numbers I can plug those numbers into my original equation see what I get and see which answer gives me the same value so I plug those in here I get root 4 over 2 minus root to 2 over 1 which gives me root 2 minus root 2 which equals 0. so all you do is take these answers plug them in and see which one gives me zero so four of course is not zero in G if I plug these in I get 4 times root X Y is 4 root two that's not zero on top and H I get four minus two which is 2 and J I'll get two times one minus two over the square root of 2 which is 0 over root 2 which of course is 0 K will also not work all right final stretch 59 we have a Pascal's triangle question so we have to know how to expand binomials with the Pascal's triangle if you've never done this before this is going to be confusing so we here have to know how to do this this is going to be our x to the fourth level X cubed x squared so as you're going through these are our coefficients so the way this works is it's going to be one times our first term 3x to the fourth power then it's four times our first term 3x cubed and then 2 to the first power six times three x squared and 2 squared 4 times 3x and 2 to the third power and then 2 basically 1 times 2 to the fourth power you can see the first terms here four three two one zero basically count down the second term counts up there's not in the first one but it's two to the first two to the second two cubed two to the fourth now again if this is totally new we're very very confusing I teach this way more thoroughly in my ultimate ACT Math course which teaches off my whole book um as well so this again a lot of these tops I'm not going to go through an entire depth in this video so I'm just going how to solve the question now with this one we're asked for the X cubed term which is this term here if you really know how to do this you can just shortcut and get right to this term so all you do here is do simplify the term so it's going to be four times 3x cubed is 27 x cubed if we cubed the three times two so we just do 4 times 27 times 2 which gives me a coefficient of 216. all right last number 60 is a logarithm question they've Loved These on recent tests they're definitely good to make sure we know some log rules there are two they're going to apply to this question so if I have log base let's say a of x to the B power we bring the B to the front so this is the same as B log base a of X or if I have log base a of let's say x times y we can do log base a of X Plus log base a of Y okay so now how do we apply to this question so I have log base a of x equals B log base a of C or a y equals c and I have this whole thing here now first trick is we can turn this a square root is the same as the one-half power so I can apply our first rule up here and bring the one half to the front so I can write this as one half log base a of x squared y to the sixth now I can use my second rule and I can split this so since these are multiplied it's one half times I can split it to make it log base a of x squared plus log base a of Y to the sixth now I can use my first rule again to bring these to the front so it becomes one half and then in the parentheses it's two log base a of X plus six log base a of Y now I can distribute the one-half to simplify this so if I distribute the one-half one-half times two is just one so it's just log base a of x one half times six is three log base a of Y now we know log base a of X is equal to B so I can replace this with I'll move this over here so it's easier to see so I can replace this with B log base a of Y is equal to C so I can replace this with C so we get our answer here is B plus 3C so the correct answer is H so again hard question you can see a lot of the stuff at the back of the test the last 15 are where we really picked up the difficulty and expect that to happen on testing now of course if this math section seems Intimidator AST math in general seems intimidating do not worry I've got some resource that can help you prepare uh number one I would recommend ordering a copy of that act math book uh what you're going to see on the screen now is a diagnostic sheet for this test so what you can do is see if you took this practice test or going through the video and saw certain questions you've struggled on the diagnostic sheet will tell you the topics each question is and exactly Which chapter in the math book it uh is covered by now with the htmath book if you get it I have a video course where I teach you this entire math book not always my math book the most up-to-date one in the market a lot of other good ACT Math books or popular ones are actually old they're written in like 2016 or 27 or 2018 and that current to the current version of test so they're actually missing a lot of topics we saw that are on the ACT in 2023 and 2024 that we saw on this practice test here also with that book I have a video course of me teaching the entire book it has over 35 hours of videos of me teaching everything in the book solving over 1 250 practice questions uh and there's also it's only 299 a month to get that one if you get the book there's also a lower price option of 12.99 a month so nice cheap options additionally for studying for the entire act you can sign up for the free trial I'm ultimate act course that was just 99 a month and it has courses for English reading math science it's got practice test explanation so it has everything you can need to work with an expert tutor like me at a much lower price now of course you guys have any other questions related to math or anything else AC related please let me know in the comments down below I always take time to respond to those uh of course please like And subscribe there are lots more AC content we're coming out with every week or two I'll have videos uh for you guys to watch other than that I really hope you guys enjoyed the video I hope this helps you guys get some fantastic math scores this is mad at prepro signing off I will see you guys next time