SAT II Math II : Single-Variable Algebra
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Example Questions
Example Question #51 : Single Variable Algebra
Simplify 
First, we can distribute the negative sign through the parentheses term:
Now we gather like terms. Remember, you can't gather different variables together. The 
Example Question #203 : Sat Subject Test In Math Ii
Simplify 
Start by distributing the negative sign through the parentheses term:
Now combine like terms. Each variable can't be combined with different variables:
Example Question #204 : Sat Subject Test In Math Ii
Simplify
A square root is the inverse of squaring a term, so they cancel each other out:
From there, there's nothing left to simplify.
Example Question #52 : Single Variable Algebra
Simplify 
To begin, let's rewrite the equation so the square root is a fraction in the exponent:
From here, we can simplify the exponent:
Now we change the exponent fraction back into a square root:
Example Question #53 : Single Variable Algebra
Simplify 
For the first square root, each term inside has a natural solution. We can take the square root of each term individually because they are multiplied, and then combine them again:
For the second square root, we remember that the square root and a square cancel each other out, and we're left with just the term inside:
We finish by multiplying the terms together:
Example Question #54 : Single Variable Algebra
Simplify 
We start by distributing the 
Now we combine like terms. Remember, we can't add variables if they have different exponent terms:
Example Question #201 : Sat Subject Test In Math Ii
Simplify 
Start by distributing the 
Now combine like terms. Remember, if a variable has a different exponent, you can't add them:
Example Question #51 : Single Variable Algebra
Simplify 
Start by distributing the 
Now collect like terms. Remember, you can't add or subtract variables that have different exponents:
Example Question #57 : Single Variable Algebra
Simplify 
Start by distributing the 
Now combine like terms. Remember, you can't add or subtract variables with different exponents:
Example Question #51 : Single Variable Algebra
Simplify:
Multiply the right terms.
Convert to common denominators.
The answer is:
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