HSPT Math : Algebra
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Example Questions
Example Question #1 : Algebra
If you rewrite the phrase "the product of nine and a number added to the sum of six and twice the number" as an algebraic expression, then simplify the expression, the result is:
"The product of nine and a number" is 
"The product...added to the sum..." is 
Example Question #2 : Algebra
Simplify the expression:
Example Question #3 : Algebra
Simplify:
Example Question #4 : Algebra
Add the numbers and keep the variable:
Answer:
Example Question #5 : Algebra
Add the numbers and keep the variable:
Answer:
Example Question #6 : Algebra
Simplify
Already simplified
In order to add variables the terms must be like. In order for terms to be like, the variables must be exactly alike also being raised to the same power by the exponent.
In this case the like terms are 
We add the coefficients of the like terms. The coefficient is the number in front of the first variable, in this case it is 1 for both terms because of the identity property of multiplication stating any variable, term, or number multiplied by 1 is itself.
Our last term is not like because the 
Example Question #24 : Variables
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:
Now, just combine like terms:
Example Question #7 : Algebra
Simplify:
You should begin by distributing 
Now, move your like variables next to each other:
Finally, combine the like terms:
Example Question #8 : 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 #9 : Algebra
Simplify:
First, move the like terms to be next to each other:
Now, combine the x-variables and the y-variables:
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