HSPT Math : Algebra
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Example Questions
Example Question #7 : How To Add Variables
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 #8 : 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 #9 : 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 #31 : Variables
Simplify:
Begin by distributing the 
Next, move the like terms next to each other. Remember, treat 
Finally, combine like terms:
Example Question #151 : Variables
Simplify:
Combine like terms:
Example Question #151 : Operations
Simplify:
Combine like terms:
Example Question #161 : Variables
Evaluate
Example Question #161 : Operations
Add the numbers and keep the variable:
Answer:
Example Question #11 : How To Add Variables
Simplify:
First we should simplify the first expression. We can first apply the power of a product rule and then apply the power of a power rule. So we can write:
Return to the original expression:
Since the variables have the same exponents we can write:
Example Question #11 : Algebra
Gina's mom baked 12 cookies. 8 were cinnamon and 4 were chocolate chip. If Gina eats one of the cinnamon cookies, how many more cinnamon cookies are there than chocolate chip?
Gina's mom baked 12 cookies; 8 were cinnamon and 4 were chocolate chip. If Gina then eats a cinnamon cookie, there will be 7 cinnamon cookies left.
After she eats the cookie, we need to find the difference between the number of cinnamon cookies and chocolate chip cookies.
There are 3 more cinnamon cookies than chocolate chip cookies.
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