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Mathematical Expression Editor
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This gives practice for computing the absolute value.
How You Can (And Should) Get More Practice!
Below is a few practice problems of various difficulty, but you will need considerably more practice than one each. For that reason
you should definitely use the green “Try Another” button in the top right corner at least two or three times to complete
additional versions of these questions for more practice. You should keep using that button until doing these problems feels straight
forward and easy, and then come back after a week or so of doing other stuff and try again to make sure it is still just as easy for
you.
Theoretically Easier Difficulty Problem
Start by moving everything to one side of the equation.
Once you have everything on one side, rewrite it in piece-wise form to get rid of the absolute values.
Set each subfunction of the piece-wise expression equal to zero and solve. Then check that the solution you find is in the domain
of that subfunction.
Don’t forget that the answer is the sum of the valid solutions.
Solve the equality for . If there are no solutions, enter DNE
The sum of valid -solutions is:
Theoretically Medium Difficulty Problem
Start by moving everything to one side of the equation.
Once you have everything on one side, rewrite it in piece-wise form to get rid of the absolute values.
Set each subfunction of the piece-wise expression equal to zero and solve. Then check that the solution you find is in the domain
of that subfunction.
Don’t forget that the answer is the sum of the valid solutions.
Solve the equality for . If there are no solutions, enter DNE [Note this problem can generate problems where answers exist, and
where they don’t exist, so try hitting the “Another” button in the top right of the page until you have done examples of
both!]
The sum of valid -solutions is:
Theoretically Harder Difficulty Problem
Start by moving everything to one side of the equation.
Once you have everything on one side, rewrite it in piece-wise form to get rid of the absolute values. Remember for quadratics
this requires you to use a sign chart to determine which domain(s) have positive values inside the absolute value, versus negative
values.
Set each subfunction of the piece-wise expression equal to zero and solve. Then check that the solution you find is in the domain
of that subfunction.
Don’t forget that the answer is the sum of the valid solutions.
Solve the equality for . If there are no solutions, enter DNE [Note this problem can generate problems where answers exist, and
where they don’t exist, so try hitting the “Another” button in the top right of the page until you have done examples of
both!]
The sum of valid -solutions is:
Start typing the name of a mathematical function to automatically insert it.
(For example, "sqrt" for root, "mat" for matrix, or "defi" for definite integral.)
Controls
Press...
...to do
left/right arrows
Move cursor
shift+left/right arrows
Select region
ctrl+a
Select all
ctrl+x/c/v
Cut/copy/paste
ctrl+z/y
Undo/redo
ctrl+left/right
Add entry to list or column to matrix
shift+ctrl+left/right
Add copy of current entry/column to to list/matrix
ctrl+up/down
Add row to matrix
shift+ctrl+up/down
Add copy of current row to matrix
ctrl+backspace
Delete current entry in list or column in matrix
ctrl+shift+backspace
Delete current row in matrix
×
Start typing the name of a mathematical function to automatically insert it.
(For example, "sqrt" for root, "mat" for matrix, or "defi" for definite integral.)