Algebra II : Algebra II

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #127 : Basic Single Variable Algebra

Multiply: 

Possible Answers:

Correct answer:

Explanation:

Example Question #4 : How To Add Trinomials

Add:

Possible Answers:

Correct answer:

Explanation:

To add trinomials, identify and group together the like-terms: . Next, factor out what is common between the like-terms:. Finally, add what is left inside the parentheses to obtain the final answer of .

Example Question #12 : How To Multiply Monomial Quotients

Simplify:

Possible Answers:

Correct answer:

Explanation:

Since there are no like terms in the numerator or in the denominator, you can only combine ther terms on the numerator and denominator so that they are in one quotient. You cannot further combine the variables because each variable is represented by a different letter. You cannot further reduce the integers because they do not have a common factor. 

Example Question #1971 : Algebra Ii

Simplify the expression.

Possible Answers:

Correct answer:

Explanation:

First, rearrange the order of the problem by grouping like terms together: 

.

Now, combine the like terms: 

Example Question #42 : Simplifying Expressions

Simplify the following expression: 

Possible Answers:

None of the other answers

Correct answer:

Explanation:

To simplify an expression you need to combine like terms.  

So,

and  cannot be combined with anything.

To then rewrite the expression you want to work in alphabetical order, and in decreasing exponential power.

Example Question #43 : Simplifying Expressions

Simplify: 

Possible Answers:

The answer is not present.

Correct answer:

Explanation:

This problem is best simplified by dealing with the fractions separately and then combining. The rules of exponents used are: , and .

 

Example Question #131 : Basic Single Variable Algebra

Simplify the expression

Possible Answers:

Correct answer:

Explanation:

Remember to distribute the  to each terms and the  to each term then combine the like terms.

Example Question #132 : Basic Single Variable Algebra

Simplify the following expression by combining like terms:

Possible Answers:

Correct answer:

Explanation:

Simplify the following expression by combining like terms:

Begin by looking for terms to combine. In this case, we only have 2 terms we can combine. Remember, we can only combine terms that have the same exponent and variable.

In this case, the green colors are the only ones which can be combined:

So our answer is:

Example Question #132 : Basic Single Variable Algebra

Simplify:

Possible Answers:

Correct answer:

Explanation:

To simplify this expression, you must remember to distribute that negative sign to all of the terms of the second parantheses. It should then look like this: . Then, combine like terms. Your answer should be:

Example Question #132 : Basic Single Variable Algebra

Simplify the following expression:

Possible Answers:

Correct answer:

Explanation:

Simplify the following expression:

So, we have a big fraction. Don't be intimidated, all we have to do is cancel some parts out and we'll be good.

Begin by looking for pieces that are in common to the top and bottom. I've highlighted them below:

Now, the parts that are in common need to be simplified, but only with eachother. 

Starting with the y's, we simply subtract the bottom exponent from the top exponent.

Do the same with the part in parentheses.

Leave the z's alone because we only have one set of z's and it's on the bottom.

And we get the following:

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