GCSE ALGEBRA: Algebraic Manipulation #1
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- Опубликовано: 25 окт 2014
- Manipulating mathematical formula to change the subject of the equation, lots of examples of past exam questions.
This is one of a series of videos that I have created to help with the transition from school into an engineering apprenticeship, Achieve Your Potential.
End of semester exams anyone? Great vid
Yup one year later🤣
@tazeen burney lol
Lol
Nah, I'm just watchin.
the fact that this is almost 6 years and still really helpful is that I'm really thankful, appreciate it sir :)
Hi, thanks for the feedback, i am glad you found it helpful.
This guy is such a legend he is still helping people and even replied to all the comments!
Thank you for your kind words 👍
Thank you so much :) this really helped me out for my maths test revision!
Hi Tooba Bahadar thanks for your comment, if you have any specific examples you would like me to work through please post them in the comments, in the mean time tell all your friends about the help on my channel please tell them to subscribe and share
Hi David Smith can you do the percentage and number pattern area and perimeter plane figures
I actually ran into this looking for something reasonably advanced: trying to write a program to do computer algebraic manipulation that includes all primitive steps. One of the first things I learned was to make the "=" a binary operator in the exact same level as "+" and "*". Then be super-explicit that you are distributing operations across the equals sign, just like you do for * over + .... I taught my daughter to do homework like this for a few hard problems at around 4th grade.
(C = ((5/9) * (F - 32))) # given
(C = ((5/9) * (F - 32))) * (9/5) # right * 9/5
((C * (9/5)) = ((5/9) * (F - 32) * (9/5))) # right distribute * over =
((C * (9/5)) = ((5/9) * (9/5) * (F - 32))) # commute over *
((C * (9/5)) = (F - 32)) # cancel * inverses
((C * (9/5)) = (F - 32)) + 32 # right + 32
((C * (9/5) + 32) = (F - 32 + 32)) # right distribute + over =
((C * (9/5) + 32) = F) # cancel + inverses
It seems pedantic, but this is how it has to work in a computer. Even then, there is still the mystery of how you knew which step to pick next. It would be better to have an algebraic abacus (like the iPad app AlgebraTouch). The real tedium of math is in writing the steps over and over again, but it's not like that when you are on a computer, picking a spot in the equation to modify, to have the computer do the mindless re-writing for you.
The point of this is to think of "=" as an operator just like "+".
(a=2)
(a=2)*b
(a*b = 2*b)
...
When you do this, there is always a clear name that can be given to each step. When you work like this, you will discover that a lot of "advanced" math is only hard because it is written ambiguously; with lots of missing steps. I kind of boggle that people still mostly do math on paper; rather than using programs that don't do the calculation for you, but rather track the path of operations you applied to reach the answer. (A real "proof".)
Really good, well explained, thanks.
Finally I understand something in MATHS!!! Like this video
Thankyou this is really helpful!
4x = 2y + 1
+1 will go on the other side and the sign will become negative
4x - 1 = 2y
Now the 2 from '2y' will go on the other side and will be divided by 4x - 1
(4x -1)/2 = y
That's how I learned it.
The method I have shown is a step by step procedure to help people to understand the process of making y the subject of the equation.
Obviously you know a different way , but not everyone would understand it, however if you get the correct result and understand the process then that’s fine.
Ur way is easier hehe
so do you just write (4x-1)/2 in the maths test or do you have to solve it
Thank you so much your a life saver I have a maths test in a few hours!
This stuff melts my brain, somebody please tell me how any of this can be applied to the real world and why the hell I need to know this in order to be accepted into a combat support role in the army. I physically cannot understand how this is useful to solve problems that actually exist outside of specific niches I have no need for. I can answer questions correctly just by forcing myself to remember what I’ve been told but how the hell do I use this? I’ve watched hours of explanations but I’m still so lost here
Thanks a bunch for the help! ;D
Lovely video thanks!
Hi everyone, this is one of a series of videos that I have created to help with the transition from school into an engineering apprenticeship, if you have any specific examples you would like me to work through please let me know.
Achieve Your Potential.
GCSE ALGEBRA, ALGEBRAIC MANIPULATION, Manipulating mathematical formula to change the subject of the equation, lots of examples of past exam questions.
Good lesson, thanks.
Hi by any chance could you make a part two. I found this very helpful but I need to know how to do it with a square root in front of some
+Megan Maguire:) Hi Megan, thanks for your comment, no problem I will make part 2 as soon as I can and will include lots of square roots. David
my exam is the next day and this literally solved a whole chapter in 15 min
so helpful!!
Hello, glad it helped you!
Bro I really want to thank you to you it was so helpful and easy to understand, I hope your day always happy
Great, I’m glad it helps, please share with all your friends 👍
Thanks so much for this
Thank you David Smith
Thanks for the help! 😁😁😁😃😃😃
+Crackdown1288 Thanks for your comment, please tell all your friends and subscribe and share.
thank you for the help ill do better in my end of year 9 test which would decide if I do further maths or not
MasterBen Hi , thanks for watching my video, I'm glad i was of help.
Thank you very much Davidfor this video. I have benefited from this video and it will help me with my exams.
:D
Hello, thanks for your comment, I am glad you found the video useful, good luck with your exams. David
1:34 why is there so many 1's how will i know if there is x , y or 5.5 like very complicated
Thank u so much
Your better then my actual teacher. Thanks 🙏
We personalise teaching on the premise that every human being is uniquely made/created. Every students has intelligence that is unique and different from other students. Similarly learning abilities and styles also vary from student to student. Keeping in view this theory one on one class with student can help student more in learning than a combined class.Moreover, it would be easy for a teacher
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We personalise teaching on the premise that every human being is uniquely made/created. Every students has intelligence that is unique and different from other students. Similarly learning abilities and styles also vary from student to student. Keeping in view this theory one on one class with student can help student more in learning than a combined class.Moreover, it would be easy for a teacher
If you're looking for an online tutor/teacher for your kids help in their homework, assignment test and exam preparation; I offer my services for the following subjects at cheap rates without compromising quality.
Mathematics (grade 1-12)
Physics (up to grade 12)
English (grade 10)
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Method of teaching:
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You probably just saved me :)
Michael Andres Hi Michael, thanks for your comment, if you need further help on any specific examples please let me know, tell all your friends and don't forget to subscribe to my channel.
very nice way of delivering lecture
+معتصم بالله Hi thanks for your comment and subscribing to my channel, if you have any questions or any specific examples you would like me to help with please post them in the comments.Regards David Smith
open bob
Thanks a lot
Abdul Rehman Hi, thanks for the comment.
Hi, Even though this is a physics question, I'm hoping you might be able to help me re-arrange the equation to find other values ? For example, How do i rearrange F = KI1I2l/d
Where;
[Force (Newtons) = Magnetic Constant (K) * Current1 (I1) * Current2 (I2) * Length of conductor (l) / distance between current carrying conductors (d)
Two current carrying conductors would be I1 & I2 in this example
If I would like to solve for current1 (assuming current 1 & 2 are equal, I will square I1 below)
But then how do i structure the formula to find the value of I1 ?
I1^2 = ?
Vance Kay Hi Vance what is it exactly that you are looking for? Thanks David
Vance Kay Hi Vance if you assume I1 = I2 and say I^2 then you need to isolate this in the equation so we have I^2=(Fd/Kl), then take the square root of each side to give I= sq root (Fd/Kl), I HOPE THIS HELPS. David
SO i guess a = (2 * SqRt s - ut)/t is correcT?? i ask cuz with these prblems there is usually more than one way to write it..
Vbastard Hi thanks for your comment, yes there is more than one way to write it but to write it your way you would have to square root the two as well. Thanks.
Good
make y the subject of the equation- why do we do this? I dont understand
Thank you so much. You help me alot with this tutorial however i still need more example of this lesson which include square root and I also struggle changing the subject which is square. If you could help me out i would really appreciate it.
Or is it just a question a test paper would ask us?
why isnt it x
I NEEDED this omg I was gonna fail exam
Hi Genevieve great, I wish you well in your exam.
We personalise teaching on the premise that every human being is uniquely made/created. Every students has intelligence that is unique and different from other students. Similarly learning abilities and styles also vary from student to student. Keeping in view this theory one on one class with student can help student more in learning than a combined class.Moreover, it would be easy for a teacher
If you're looking for an online tutor/teacher for your kids help in their homework, assignment test and exam preparation; I offer my services for the following subjects at cheap rates without compromising quality.
Mathematics (grade 1-12)
Physics (up to grade 12)
English (grade 10)
Science (grade 10).
Method of teaching:
I hold a course in teaching methods (pedagogy) that is essenial for teaching.
2 Free trial classes will be conducted, if you satisfied with teaching style can continue ..
Whatsap : +923018511445
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Do you do online lessons for this?
Hello, thanks for asking this but unfortunately I don’t do online tutoring at the moment, however if you have any questions to work through that you are struggling with please let me know and I will help you get an understanding of how to solve them.
@@davidsmithcengmiet5493 thank you I'll message you if anything I need help with
S = it + 1/2 at square
Why did we take a as a subject I can't get understand of this equation .
I get understand of other questions easily kindly guide me this question
THANKS
Asim Khattak Hello this is the equation of motion that connects distance travelled S, with acceleration a, the object of this exercise is to make a, the subject of the equation so that the acceleration can be calculated.
In no.2
2x=1-3y
3y+2x=1
3y=1-2x
3y/3=(1-2x)/3
y=(1-2x)/3
RM Tuastomban Hello yes that is equally valid.
@@davidsmithcengmiet5493 Thank you Sir
8a cube and b over 2a square b square
muhammad nawaz Hi could yo u please give me more information? Thanks
I had to revise for an admission test
mate you just saved me from failing my math test
Glad I could help :)
2020 anyone??
We personalise teaching on the premise that every human being is uniquely made/created. Every students has intelligence that is unique and different from other students. Similarly learning abilities and styles also vary from student to student. Keeping in view this theory one on one class with student can help student more in learning than a combined class.Moreover, it would be easy for a teacher
If you're looking for an online tutor/teacher for your kids help in their homework, assignment test and exam preparation; I offer my services for the following subjects at cheap rates without compromising quality.
Mathematics (grade 1-12)
Physics (up to grade 12)
English (grade 10)
Science (grade 10).
Method of teaching:
I hold a course in teaching methods (pedagogy) that is essenial for teaching.
2 Free trial classes will be conducted, if you satisfied with teaching style can continue ..
Whatsap : +923018511445
join.skype.com/invite/guqjw35byDPE
I dont get it. Wow. I must be rlly stupid. Sigh
Hello, what seems to be the problem?
Example 3 step 2 you made a mistake
1. Y=4x-2y+1 2. Y+2y=4x-2y+1+2y
Second step is wrong it should be Y+2y=4x+1 only
But i am pretty sure that he is a human because human can never be perfect
This could be much easier
Hi Nosheen, the algebra is demonstrated in it's simplest form to help people, so i am showing that what ever you do to one side of the equation must be done to the other side to balance the equation, therefore we add 2y to each side as in step 2,then we cancel out with the resultant shown in step 3 where we carry on to solve the equation for y, therefore the algebra is correct.