@@CactusFragz well, you take the 5 in the denominator over to the other side, and multiply that by 3 that makes 15. The take the 3 to the other side and subtract that from 15. That leaves us with 4x=12, take the 4 to the right and divide it by 12. 12÷4=3.
This is brilliant. My grandma has trouble with mathematics and. I recently found your channel and shared it with her. Your teaching methods have helped her tremendously. 🙏🙏
Did all of these in a split second. Loved math when I was in school and still do, it’s a shame so many kids are scared away from a subject that can rly sharpen their mind. Even basic arithmetic isn’t being taught properly in schools anymore. Glad a channel like this exists for kids or ppl in general to learn 👍
I have been subscribed for a long while. I teach adult education, IOW people who have not yet gotten a high school equivalency and the majority of them stalled on math. I think it is more effective to offer people a variety of approaches to learning, so I refer them to your videos to supplement class work. The value in your videos is in cutting the time. The HiSET test is timed, and test takers have to be able to work problems efficiently and timely. I also enjoy watching your videos for my own improvment.
I was taught the long way. Thank you for your videos! My homeschooled children refer to them for helpful tips/steps. You are literally a global math teacher! Watching from U.S.A. 👍
I think this method becomes obvious once you've mastered elementary algebra, but I think looking at everything with more steps fosters deeper learning. So sorry tecmath. While I love your approach I disagree that this is better.
Dis it this way at school 40 years ago, only thing I would say for exams it's good practice to write the working out down so you get marks for the method.
Damm I Really hated when I’d get to these equations but now that you have the most simple formula to solve these problems I want to learn them.Thank you 🙏
This video teaches you shortcuts, and bad habits. Here in England the last yhing you want to do on high mark questions is get the answer by shortcut. By showing working you gain critical method marks, and also insight into the step by step process of how things like this work. This is nice, but I suppose more of an after the fact thing 👍🏻
Yes, thee method shown is the logic but the correct way of how to write it down is important as well. Furthermore, if this logic were understood AND trained by every student without hesitation, the speed would have come instantly. Logic x Training = speed
I'm happy to not see bodmas but I have a question. What determines that bodmas is not used in these instances? Is it that it's sequential due to calculating the original problem backwards?
Shouldn't that quadratic equation had both the positive and negative roots of 5? You had to extract the root. It was not a principal square root probkem, right?
So this is the same, and I expect only, _way_ of working out the answer, just without rewriting the equation after each step. The reason they get you to do that in school is so if you make a mistake at one point they can see you still had the right idea and might be able to give you credit for that, as opposed to just having nothing but the wrong answer and no proof that you understand what to do, you just made a mistake.
It’s been over 20 years since my first algebra class but if I remember correctly, we would put parentheses around (4x+3/5) and multiple both sides by 5 to eliminate the fraction. This ends up being : 4x+3=3(5). -> 4x+3=15. -> 4x=12 -> x=3
I didn’t understand this in junior high school and I don’t get it now ! You said LETS START WITH THE ANSWER ! How the heck can I start with the answer , WHEN I DONT KNOW WHAT THE ANSWER IS ??? I’m more confused now than ever ! I’ll just stick to medical math like 15 grains = 1 Gram = 1000 milligrams and MGL and GMR and so forth ! I need to keep watching your channel though because I really want to learn and understand what is on this video ! ❤️❤️❤️👍👍👍♥️♥️♥️😊😊😊🤗🤗😔
Thanks for the comment. My bad - or would probably be clearer to say 'let's start with the number on the right hand side of the equals sign - that number sitting all over there by itself'. Go from there. Please let me know how you go.
None! I went to high school from '73 to '78 and this is EXACTLY how we did it. I don't know what he's talking about. Only difference is we did one step at a time, which is normal practice when learning something new. I teach maths now, and I still each it this way. We were taught that whatever you do to one side do the same to the other. So, to clear the division from the LHS, multiply both sides by 5, for example. Then, we'd write down that step. Once we had done that we'd do the next step. Writing out each step is good practice for learners as it keeps them focussed, gives them a written record of their working so they can find errors in their working if their final answer is incorrect. As teachers, marking exams, it gives us the opportunity to award marks for correct working, even if a calculation is slightly out. I don't know what he's talking about in this video, when he says 'lines and lines of messy working'. 🤷🏼♀️
I knew this method, figured out each equation with little writing, then the asshole teachers said to do it in your head. I failed on principle because the tests had enough room for that little bit of writing. Then they started with decimals and percentages so I skipped.
How is that not the normal way? Are you being tought differently than we are in germany? Maybe that explains why our engineers are so good ;-) (supposedly)
@@NinniWasTaken That is misleading: Bring all like terms onto one side. That is, we will be subtracting 7x from each side. This gives 6x - 7x + 3 = 7x - 7x - 1 which is simplified to -x + 3 = -1 Bring the 3 to the right side by subtracting 3 from both sides, giving -x = -4. Multiply both sides by -1 to get the final answer of x = 4
Because you have to move the numbers to the other side of the equation so you're just left with x. Just look at x+3=5, you're not going to get anywhere by adding... You need to subtract 3 from both sides.
An equation is a balanced number sentence. Think of it as a set of bucket scales. Whatever expression or number is in the left hand bucket must equal the same value as what is written in the right hand bucket, so the scales are balanced. So, if you had 5 apples of equal weight in each bucket and you took one out of one bucket, you'd need to take an apple out of the other bucket, right? Now, in algebra our aim is to have just the pronumeral in one bucket and a single numreal in the other bucket. To reduce the expression on the LHS to only the pronumeral we need to cancel out all the operations done to the pronumeral. We start by reversing the operation that is as far detached from the x as possible. In this case, the division by 5. To undo, or reverse divide by 5, we need to do the opposite. Think of it as untying knots in a rope. If a rope has knots in it, to return the rope to its original untied state, we need to untie the knots. To 'untie' the 'divide by 5', we do the opposite, so we multiply by 5. Because we are multiplying the LHS by 5, we need to do the same to the RHS.
Isn't this the standard method? I don't think it's an instant solution. Sorry. I do love your channel, but the headline is misleading. As for having to do lines and lines of working out, yes, I still teach it that way, but it's the same steps. I ask the kids to show the answer to each step for a few reasons. One is so they can track their working if they need to review their answer; they can easily find their error. As their teacher, I can do the same, and they receive marks for each correct line of working, even if they make an error somewhere along the way. I discourage the kids from doing it all mentally, particularly if this is a new skill. Also, it stops them from rushing through their thinking and making careless mistakes. I don't think this is a 'trick' so much, as simply how it needs to be done.
Is this not how everyone did it? This is the method i learnt in school...wow that makes me feel smart even tho i did probably the worst in my class!
As you'll see from other comments... a lot of people do it a much longer way. It's exhausting.
this is how I was taught as well haha
@@tecmath now i need to know what this longer way is lmao!
@@CactusFragz well, you take the 5 in the denominator over to the other side, and multiply that by 3 that makes 15. The take the 3 to the other side and subtract that from 15. That leaves us with 4x=12, take the 4 to the right and divide it by 12. 12÷4=3.
@@AbdullahWaqar454 isnt that basically what he has showed in the video?
This is brilliant. My grandma has trouble with mathematics and. I recently found your channel and shared it with her. Your teaching methods have helped her tremendously. 🙏🙏
Youre literally saving my highschool grade so much I cant thank you enough
I'm a HUGE fan of the new dark themed screen background!!! And yeah the math's pretty cool too. Lol jk. Great work; looking forward to more!!!!
Did all of these in a split second. Loved math when I was in school and still do, it’s a shame so many kids are scared away from a subject that can rly sharpen their mind. Even basic arithmetic isn’t being taught properly in schools anymore. Glad a channel like this exists for kids or ppl in general to learn 👍
Says who? Trump?
@@Cartidise Actually, democrats are scrapping the Math subject because apparently it’s racist LOL.
@@Panic-buying-toilet-paper Source?
Any subject can be fun if your life doesn't depend on you succeeding in it
Where were you when I was in high school? You could have saved me years of stress and agony
I don't understand how else would you solve it, what alternate method is there that you were taught?
Thank you so much bro your help by giving this wonderful method is much appreciated!🙃😊
I have been subscribed for a long while. I teach adult education, IOW people who have not yet gotten a high school equivalency and the majority of them stalled on math. I think it is more effective to offer people a variety of approaches to learning, so I refer them to your videos to supplement class work. The value in your videos is in cutting the time. The HiSET test is timed, and test takers have to be able to work problems efficiently and timely. I also enjoy watching your videos for my own improvment.
This man is a legend. I watched his videos frequently when I was a kid. Thank you, tecmath.
I'm 50 and I'm STILL watching them 🤣
Really? How long has he been uploading vids?
@@1beachygurl dude, I'm in my mid-teens. 9 years old was not that long ago
Wow . Thank you so much I'm getting my GED right now I came here from your fraction videos !!!
this is an amazing algebra trick, thanks for sharing
I loved algebra at school it was like breaking a code for me. But again I haven’t used it in life. It’s nice to brush up my maths. 🥰
I love algebra too it's so fun!!!!!!
I feel like he’s like math dealer behind the school dumpster
Psst kid... wanna buy an unused calculator cheap?
I was taught the long way. Thank you for your videos! My homeschooled children refer to them for helpful tips/steps. You are literally a global math teacher! Watching from U.S.A. 👍
pls do more of these videos on dark theme so my eyes don't burst out looking at numbers
This method is soo much easier than the way teachers teach in school, wish i knew this earlier
This is so interesting! Where do you find all these tricks? :)
How would this work (if it does) with fractions? and parentheses(at one side)? like 3x * 7 + 8(3 + x) or 4x + 9(2/5 x 2/3) = 100?
Love that you're uploading
3:14 slight correction (someone else probably commented this already) but x is equal to positive or negative 5.
i have been wanting to prepare for my up coming test and i swear, all the online courses can not compare to this.
My brain has always worked like this. I love seeing that in a video!
wow, you're amazing thank you.
What if there’s multiple terms with “x”???
Can this method still work or do we have to reduce the expression to its simplest form first.
Why did I bother going to school to learn math when I should have watch this youtube channel from the beginning?
Thank you!
I think this method becomes obvious once you've mastered elementary algebra, but I think looking at everything with more steps fosters deeper learning. So sorry tecmath. While I love your approach I disagree that this is better.
Don't be sorry. It's not better.
It is supossed to be a TRICK not a learning method
Very cool! Thank you, tecmath.
You can teach an old dog new tricks! Thank you.. happy holidays.
Can i use this trick to any equations of algebra or this exception ?
Dis it this way at school 40 years ago, only thing I would say for exams it's good practice to write the working out down so you get marks for the method.
New sub, love your conent. Gday from Aus
Me getting this: I feel like a math genius!!!
Isn’t the answer to (3X^2+2)/11=7 actually +/- 5 and not just +5?
X=5
3(25)+2/11=7
75+2/11=7
Damm I Really hated when I’d get to these equations but now that you have the most simple formula to solve these problems I want to learn them.Thank you 🙏
b^(2) - 4ac = 900
Seems simple enough. I think I'll try it
This video teaches you shortcuts, and bad habits.
Here in England the last yhing you want to do on high mark questions is get the answer by shortcut. By showing working you gain critical method marks, and also insight into the step by step process of how things like this work.
This is nice, but I suppose more of an after the fact thing 👍🏻
Yes, thee method shown is the logic but the correct way of how to write it down is important as well. Furthermore, if this logic were understood AND trained by every student without hesitation, the speed would have come instantly. Logic x Training = speed
I hate math so much but this man makes me love it
Honestly really confused how other people solve algebra now. I thought this was the way everyone else did it like me
Yeah that's how I always done it?
I was in high school in the early to mid 90s and this definitely wasn’t taught to me.
I’m still in school and this how it’s taught. What new crackpot ways are people teaching now?
@@Saladin0127 very time consuming ways
@@HalalHistory No, I mean like I’m actually curious.
Brilliant!!... G’day, mate!
G'day!
Glad you stopped to say it!
I'm 40 next Yr and I'm still appreciating my "number machines" from primary schools which u can works backwards 💖🇧🇩💖🤲🏽
Wow......mind blown....
I'm happy to not see bodmas but I have a question. What determines that bodmas is not used in these instances? Is it that it's sequential due to calculating the original problem backwards?
Yep.
This is just a sequence that is written off what is being worked out (according to BODMAS)
Thx mate 👍
On the last problem, does the pemdas/bodmas not come into play with the 5 - 3 x 10 / 5?
5--3X==10/5
5--3=====2
2=======2
X=1
Amazing
Thumbnail: x = 4.5
Two weeks in a row I've done that!
@@tecmath happens to the best of us
X=45/10
BODMAS exists... This guy: what's that?
It’s the same method except explained as a single line.
It’s pretty much throwing everything to the right side until x is the sole number.
Shouldn't that quadratic equation had both the positive and negative roots of 5? You had to extract the root. It was not a principal square root probkem, right?
I'm loving maths I just had my level 1 exam in my college
So this is the same, and I expect only, _way_ of working out the answer, just without rewriting the equation after each step. The reason they get you to do that in school is so if you make a mistake at one point they can see you still had the right idea and might be able to give you credit for that, as opposed to just having nothing but the wrong answer and no proof that you understand what to do, you just made a mistake.
How else would you solve it?????
exactly my point lmao! this is the only way i have ever learnt to solve it!
Right? I don't get it either.
It’s been over 20 years since my first algebra class but if I remember correctly, we would put parentheses around (4x+3/5) and multiple both sides by 5 to eliminate the fraction. This ends up being : 4x+3=3(5). -> 4x+3=15. -> 4x=12 -> x=3
@@LarimaBeyondBorders Right, which is exactly what he did. So there's not really any difference.
@@LarimaBeyondBorders thats exactly what he showed us in the video lmao!
Is there any other way to solve algebra?
Like it!
Your initial screen does NOT match the rest of video ( 4x-3 ??)
Yep - I stuffed it up! Fixed now - thanks!
Thanks to u i got a 98(in report card( in grade 7 :) lost the 2 marks cuz i was absent during that test
Well done! But your marks are your work - congratulations!
G’day from the USA
I like. 👍
(4x + 3) ÷ 5 = 3
4x + 3 = 15
4x - 12 = 0
4x = 12
x = 3
I didn’t understand this in junior high school and I don’t get it now ! You said LETS START WITH THE ANSWER !
How the heck can I start with the answer , WHEN I DONT KNOW WHAT THE ANSWER IS ??? I’m more confused now than ever ! I’ll just stick to medical math like 15 grains = 1 Gram = 1000 milligrams and MGL and GMR and so forth ! I need to keep watching your channel though because I really want to learn and understand what is on this video ! ❤️❤️❤️👍👍👍♥️♥️♥️😊😊😊🤗🤗😔
Thanks for the comment.
My bad - or would probably be clearer to say 'let's start with the number on the right hand side of the equals sign - that number sitting all over there by itself'.
Go from there.
Please let me know how you go.
@@tecmath Americans don't speak English. They just think they do!
Algebra for Thanksgiving Dqy breakfast - I am grateful 🌻🦃🌻🦃🌻🦃🌻🦃
Pulling rabbits out of hats...
What about with variables on both sides of the equation?
You just take one to the other side by using the inverse operation like he is doing with the other cases.
thanks ngab
Thank you. ^_^
You got #2 wrong.
5 OR -5
Wish I had you growing up.
Cool
YOU ARE THE FU**ING MAN. THANK YOU.
Good day
Exactly how we were taught in the US we when I was in school. What nonsense did you learn down under?
None! I went to high school from '73 to '78 and this is EXACTLY how we did it. I don't know what he's talking about. Only difference is we did one step at a time, which is normal practice when learning something new. I teach maths now, and I still each it this way. We were taught that whatever you do to one side do the same to the other. So, to clear the division from the LHS, multiply both sides by 5, for example. Then, we'd write down that step. Once we had done that we'd do the next step. Writing out each step is good practice for learners as it keeps them focussed, gives them a written record of their working so they can find errors in their working if their final answer is incorrect. As teachers, marking exams, it gives us the opportunity to award marks for correct working, even if a calculation is slightly out. I don't know what he's talking about in this video, when he says 'lines and lines of messy working'. 🤷🏼♀️
Good one Sir
Just for your info learnt is not a word.
just for your info learnt is indeed a word
Square Root of 25 is also -5
I've seen this already. Did you reupload?
There is an upload from about 8 years ago.
I have been trying to this trick many examples there is a few that u can't apply this trick
bro teacher me better than my teacher
Huh? This is the normal way to do algebra.
I knew this method, figured out each equation with little writing, then the asshole teachers said to do it in your head. I failed on principle because the tests had enough room for that little bit of writing. Then they started with decimals and percentages so I skipped.
Simplify. 5(x+2)÷10+3. Simplify by canceling.....
When i did this with x × 1/2 +5-3/2=38 it gave me the wrong x value
How is that not the normal way? Are you being tought differently than we are in germany? Maybe that explains why our engineers are so good ;-) (supposedly)
What if if it is an equation like 6x + 3 =7x - 1
First multiply 7 and -1 which is -7
Then subtract 3 which is -10
And divide it by 6
-10/6 which can be written as
-5/3
@@NinniWasTaken the solution is 4 -_-
@@NinniWasTaken That is misleading:
Bring all like terms onto one side. That is, we will be subtracting 7x from each side. This gives 6x - 7x + 3 = 7x - 7x - 1 which is simplified to -x + 3 = -1
Bring the 3 to the right side by subtracting 3 from both sides, giving -x = -4.
Multiply both sides by -1 to get the final answer of x = 4
X=4
24+3=27
28-1=27
I was already at x=3 by 0:38
🏅
🏅🥇
I thought that this was the normal method
Why do we have to do the opposite? I never understood why.
Because you have to move the numbers to the other side of the equation so you're just left with x. Just look at x+3=5, you're not going to get anywhere by adding... You need to subtract 3 from both sides.
@@Twas-RightHere thanks ☺️
An equation is a balanced number sentence. Think of it as a set of bucket scales. Whatever expression or number is in the left hand bucket must equal the same value as what is written in the right hand bucket, so the scales are balanced. So, if you had 5 apples of equal weight in each bucket and you took one out of one bucket, you'd need to take an apple out of the other bucket, right? Now, in algebra our aim is to have just the pronumeral in one bucket and a single numreal in the other bucket. To reduce the expression on the LHS to only the pronumeral we need to cancel out all the operations done to the pronumeral. We start by reversing the operation that is as far detached from the x as possible. In this case, the division by 5. To undo, or reverse divide by 5, we need to do the opposite. Think of it as untying knots in a rope. If a rope has knots in it, to return the rope to its original untied state, we need to untie the knots. To 'untie' the 'divide by 5', we do the opposite, so we multiply by 5. Because we are multiplying the LHS by 5, we need to do the same to the RHS.
a = 3
b = 0
c = -75
Its very pretty trick but some other examples of algebra is not except
Hello
What is the trick. Basically, it is how everybody already does 🧐😰
This is literally just regular algebra... What other way is there to do it?
What grade you in
@@drawdo2905 3rd year Engineering
You are correct!
g'day
si
Confusing
Fun fact your the most beautiful and amazing person I've ever seen, and yes I'm talking about you 😳
No. The most beautiful and amazing people are my partner and my kids. Sappy - but true.
Isn't this the standard method? I don't think it's an instant solution. Sorry. I do love your channel, but the headline is misleading. As for having to do lines and lines of working out, yes, I still teach it that way, but it's the same steps. I ask the kids to show the answer to each step for a few reasons. One is so they can track their working if they need to review their answer; they can easily find their error. As their teacher, I can do the same, and they receive marks for each correct line of working, even if they make an error somewhere along the way. I discourage the kids from doing it all mentally, particularly if this is a new skill. Also, it stops them from rushing through their thinking and making careless mistakes. I don't think this is a 'trick' so much, as simply how it needs to be done.
Apparently there's another way to do this from what other comments are saying, but I'm not sure how.
First