Isolate Variable

Isolate a variable by:
1) Changing all "-" signs to "+ the opposite"
2) Use the distributive property
3) Identify like terms
4) Combine like terms
5)Add the opposite
6)Divide since division is the opposite of multiply

Long Division

Long division requires a repeated process and a knowledge of relevant vocabulary.

Showing a triangle is a right triangle by using algebra.

Rectangular modeling problem involving "fractions of a remainder"

The trick to these "fraction of a remainder" rectangular modeling problems is to choose the correct number of squares to make up your original rectangle. Always choose the least common multiple of your denominators.

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Volume in cubic miles

We must think of the irregularly shaped object as a collection of known geometric shapes. Remember the formulas for are of a rectangle and a semicircle. We need to recall that the formula for Volume is area of base multiplied by height.

Multiplication and Division of mixed units

Here we need to have a firm understanding of how many smaller units make up the larger unit. I choose to convert all units to the smaller of the two, then preform the required arithmetic , then convert back to the mixed units.