Solving Equations

These lessons take everything we’ve done for the past few lessons and puts it all together.  We can take a story problem and turn it into an equation when need be.  We’ve learned that we can get a variable alone in an equation by doing the opposite operation.  Knowing those two things, we can take an equation and solve for the variable in it.  You will be given equations such as 15 + n = 35, and you will need to be able to figure out what n equals.  Our properties of equality tell us that to get the variable alone, we need to do the opposite of adding 15, which would be subtracting 15.  It also tells us that whatever we do to one side, we also have to do to the other, so if we subtract 15 to get the n alone, we have to subtract 15 from 35 as well, telling us that n=20.  The work for this kind of question would look like this:

solving equations

The key is really remembering those opposite operations.  Below is an example for each of the operations:

equations2

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