How to multiply monomials and binomials using FOIL.
How to use Pascal's triangle.
How to simplify products and quotients involving exponents.
How to simplify products involving zero and negative exponents.
How to find additive and multiplicative inverses.
How to differentiate a quotient of two functions.
How to break up a logarithm of a large number.
How to compute the sum of two vectors or the product of a scalar and a vector.
How to tell if two variables vary inversely.
How to determine whether two matrices can be multiplied, and if so, what the dimensions of the product will be.
How to graphically depict the variation in the energy of substances involved in reactions as they progress from reactants to products.