HSPT Math : Concepts
Study concepts, example questions & explanations for HSPT Math
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Example Questions
Example Question #6 : Algebra
Simplify:
First, group together your like variables:
The only like variables needing to be combined are the x-variables. You can do this in steps or all at once:
Example Question #7 : Algebra
Simplify:
First, move the like terms to be next to each other:
Now, combine the x-variables and the y-variables:
Example Question #622 : Concepts
Simplify:
Let's begin by moving the like terms toward each other. Notice the following: zy is the same as yz. (Recall the commutative property of multiplication.)
Now, all you have to do is combine the x-variables and the yz-terms:
Notice that you do not end up with any exponent changes. That would only happen if you multiplied those variables.
Example Question #13 : How To Add Variables
Simplify:
Remember, when you have exponents like this, you will treat each exponented variable as though it were its own "type." Likewise, pairs of variables are to be grouped together. Therefore, group the problem as follows:
Notice that the only thing to be combined are the 
Therefore, your answer will be:
Example Question #14 : How To Add Variables
Simplify:
Remember, for exponent problems, you group together different exponents and different combinations of variables as though each were a different type of variable. Therefore, you can group your problem as follows:
Then, all you need to do is to combine the 
Example Question #621 : Concepts
Simplify:
Begin by distributing the 
Next, move the like terms next to each other. Remember, treat 
Finally, combine like terms:
Example Question #622 : Concepts
Simplify:
Combine like terms:
Example Question #623 : Concepts
Simplify:
Combine like terms:
Example Question #624 : Concepts
Evaluate
Example Question #625 : Concepts
Add the numbers and keep the variable:
Answer:
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