This is a free lesson from our course in Algebra I
This lesson introduces systems of linearequations and explains related concepts. A system of
equations is a set of equations in one or more variables, and its solution is a set of values for its variables
such that when these values are substituted into the equations, the equations are 'satisfied' i.e. the results are equalities. For example, x + y + z =0 and x - y - 4z= 0 is a system
of two equations in the three variables . A solution to a linear system is an assignment
of numbers to the variables such that all the equations are simultaneously satisfied.
A solution to the system above is given by x = 1 , y = 2 , z = -3 since it makes
both equations valid. (More text below video...)
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(Continued from above) If this seems too complicated, it really isn't
--
when you hear the instructor explain it to you in the video above, you'll see how
easy it is. Sometimes, text based explanations of mathematical concepts seem complicated,
but when you actually hear from someone what they mean, they are not that difficult
to understand! You'll also look at inequalities here --
an inequality, unlike an equation, does not use the = symbol, but instead uses one
of these symbols: <, >, <=, >=. For example, 2x + 3y <=
5. In this inequality, whatever you plug in for values of x and y,
the expression is only valid if the value of 2x + 3y
is less than 5 or equal to 5.
As many of you know, Winpossible's online courses use a unique teaching method where
an instructor explains the concepts in any given area to you in his/her own voice
and handwriting, just like you see your teacher explain things to you on a blackboard
in your classroom. This particular lesson includes the teacher's instruction, practice
questions as well as end-of-lesson quizzes for practice. As we mentioned above,
you can
enroll in our online course in Algebra I by clicking here.
The format of Winpossible's online courses is also very suitable for teachers who
are using an interactive whiteboard such as Smartboard on Promethean in their classrooms,
because the course lessons can be easily displayed on such interactive whiteboards.
Volume pricing is available for schools interested in our online courses. For more
information, please contact us at educators@winpossible.com.