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Example Questions
Example Question #1 : Monomials
Mike wants to sell candy bars for a profit. If he sells each bar for
, how much did each bar cost him?
In order to solve this problem, set up the following equation:
Cross multiply:
Divide:
The original cost of the of each candy bar is
Example Question #1 : Variables
Choose the answer that is the simplest form of the following expression of monomial quotients:
To divide monomial quotients, simply invert the divisor and multiply:
Then, reduce:
Example Question #1 : Variables
Choose the answer that is the simplest form of the following expression of monomial quotients:
To find your answer, you have to invert the divisor and multiply across:
Then, reduce:
Example Question #2 : Variables
Multiply:
To solve you must multiply by both terms in
Example Question #3 : Variables
Multiply:
Multiply by both terms in
Example Question #4 : Variables
Multiply
None of the other answers
When multiplying a polynomial by a monomial, each term in the polynomial gets multiplied by the monomial. Calculate each term one at a time, then add the results to get the final answer. In this case, we start by multiplying .
and
, thus we get
. For the second term of the polynomial, we multiply
and
, resulting in
. Finally, we multiply
and
, resulting in
. Adding the three terms that we just found, we come to the answer of
.
Example Question #5 : Variables
Choose the answer that is the best solution to the following expression of monomial quotients:
To multiply monomial quotients, treat them as you would any other fraction. Combine like terms wherever possible:
Then, you need to reduce:
Example Question #6 : Variables
Choose the answer that is the simplest form of the following expression of monomial quotients:
To simplify, first multiply across:
Then, reduce:
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