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This video looks at all the ways there are of solving linear equations. From basic equations with one unknown to equations with two unknowns, brackets, fractions and much more. There is a look at how to solve literal linear equations and how to use your CAS to check your answers (and do some of the work for you).
This video builds on the work we have started with Algebra in the Methods 1 and 2 course. Having looked at how to solve linear equations, we now look at how to extract information from worded questions, create a linear equation and then solve it. Three common examples are used to scaffold the learning with in-depth discussion about how (and why) I am solving it in the way I do.
This video looks at what it means to be a simultaneous equation. Looking at the ways you can express linear equations we then look at how to write these in a form to be able to find the two unknowns. Knowing that we are dealing with straight lines, we also look at the cases where lines might be parallel (and hence have no solution) or be the same line (and hence have one solution). Using methods of elimination and substitution I show how to solve these. I finish by looking at how to use the CAS.
Having spent a lesson looking at how to solve simultaneous equations using either elimination, substitution, CAS, Matrices or graphically we now look at how worded questions can have information extracted to form simultaneous equations which can then go on to be solved. Three main examples are used to show how to solve some of the more common questions used in exams.
If you want to know everything there is about solving linear inequalities then this is the video for you. I look at what inequalities are. How to express solution sets on number lines and then move onto the (more usual) solution of linear inequalities. I even show how to solve them using the CAS. This is a great video to review or learn everything you need to learn about inequalities.
This video has everything you ever need to know about Transposing Equations. It is part of the Methods 1 and 2 course and gives examples of how to change the subject of a formula by using the many algebra techniques which are open to you. This video is a review of the work which has already been covered in Mathematics. Watching it will allow you to prepare for the harder concepts which will follow.
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These are the videos which are available in each chapter. You will notice that some are free and some are for subscribers only. Making and hosting these videos costs a little bit of money. To help pay for the hosting fees I have no choice but to hide some of the videos and make them for subscribers only.