Multiplying monomials by monomials

The  exercise appears under the Algebra I Math Mission. This exercise practices expressing the product of two monomial expressions as a single monomial.

Types of problems
There is are three types of problems in this exercise:
 * 1) Express the following product as a monomial: This problem has two monomials and user is asked to multiply them and express the answer as a monomial.
 * 2) Express the area of a rectangle with length ___ ,and width ___, as a monomial.: This problem has the user express the area of a rectangle by as a polynomial by multiplying ___ and ___.
 * 3) Find the values for ___ and ___ that would make the following equation true.: This problem has an equation and user is asked to find the values of ___ and ___ that would make the equation true.

Strategies
Knowledge of multiplying monomials is needed for success while doing this exercise.
 * 1) User can multiply these two monomials by first finding the product of the coefficients of each term, and then finding the product of the variables in c, and d, end color green using the rules for multiplying exponents.
 * 2) User can find the area of a rectangle by multiplying the length by the width, so this is just another way of asking you to find the product of ___ and ___.
 * 3) User are asked to find the values for ___ and ___ that would make the equation true. As a starting point, it makes sense to multiply these two monomials and create other equations that contain ___ and ___.

Real-life Applications

 * 1) Problems like this will appear on standardized tests, like the SATs and ACTs.