ISEE Middle Level Math : Algebraic Concepts
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Example Questions
Example Question #101 : Algebraic Concepts
Separate each part of the division problem. When dividing, exponents are subtracted.
Example Question #101 : Algebraic Concepts
Simplify the following statement.
Simplify the following statement.
TO divide variables, we need to subtract the exponents. The coefficients (numbers out in front) can be divided as you would normally divide.
So we get our answer of two x cubed.
Example Question #1 : How To Subtract Variables
Simplify:
Example Question #3 : Expressions & Equations
Simplify:
Example Question #4 : Expressions & Equations
Simplify:
This problem is just a matter of grouping together like terms. Remember that terms like 
The only part that might be a little hard is:
If you are confused, think of your number line. This is like "going back" (more negative) from 15. Therefore, you ranswer will be:
Example Question #144 : Ssat Middle Level Quantitative (Math)
Simplify:
This problem really is a trick question. There are no common terms among any of the parts of the expression to be simplified. In each case, you have an independent variable or set of variables: 
Example Question #2 : How To Subtract Variables
Simplify:
Remember, when there is a subtraction outside of a group, you should add the opposite of each member. That is:
That is a bit confusing, so let's simplify. When you add a negative, you subtract:
Now, group your like variables:
Finally, perform the subtractions and get:
Example Question #1 : How To Subtract Variables
Simplify:
Begin by rewriting the subtracted group as a set of added negative numbers:
Now, simplify that a little by rewriting the additions of negatives as being mere subtractions:
Next, move the like terms next to each other:
Finally, combine like terms:
Example Question #2 : How To Subtract Variables
Simplify:
You need to begin by distributing the minus sign through the whole group 
Simplifying the double negative, you get:
Now, you can move the like terms next to each other:
Finally, simplify:
Example Question #3 : How To Subtract Variables
Simplify:
This problem is as simple as it appears. All that you need to do is group together like terms:
The only like terms are the 
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