Algebra II : Expressions
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Example Questions
Example Question #21 : Simplifying Expressions
Simply:
In this form, the exponents are multiplied: 
In multiplication problems, the exponents are added.
In division problems, the exponents are subtracted.
It is important to know the difference.
Example Question #21 : Simplifying Expressions
Find the product:
Example Question #22 : Simplifying Expressions
Distribute:
Be sure to distribute the 
Example Question #27 : Simplifying Expressions
Evaluate the following:
With this problem, you need to take the trinomials out of parentheses and combine like terms. Since the two trinomials are being added together, you can remove the parentheses without needing to change any signs:
The next step is to combine like terms, based on the variables. You have two terms with 
Example Question #8 : How To Add Trinomials
Evaluate the following:
With this problem, you need to distribute the two fractions across each of the trinomials. To do this, you multiply each term inside the parentheses by the fraction outside of it:
The next step is to combine like terms, based on the variables. You have two terms with 
Example Question #1 : How To Multiply Trinomials
Evaluate the following:
When multiplying these two trinomials, you'll need to use a modified form of FOIL, by which every term in the first trinomial gets multiplied by every term in the second trinomial. One way to do this is to use the grid method.
You can also solve it piece by piece the way it is set up. First, multiply each of the three terms in the first trinomail by 
Finally, you can combine like terms after this multiplication to get your final simplified answer:
Example Question #53 : How To Use Foil In The Distributive Property
Evaluate the following to its simplest form:
None of the available answers
First we will foil the first function before distributing.
We will then distribute out the
We will then distribute out the
Now the only like terms we have are 
Example Question #55 : Distributive Property
Simplify the expression:
Example Question #31 : Simplifying Expressions
Divide the fractions.
Dividing fractions is equal to multiplying by the reciprocal.
Cross-cancel the 30 with the 25, and the 22 with the 11.
Combine via multiplication and simplify.
Example Question #31 : Simplifying Expressions
Simplify the following expression.
None of the other answers
Distribute the outside term into the parentheses.
Simplify each distributed factor into one expression.
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