SAT II Math II : SAT Subject Test in Math II

Study concepts, example questions & explanations for SAT II Math II

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Example Questions

Example Question #201 : Sat Subject Test In Math Ii

Simplify the expression:  

Possible Answers:

Correct answer:

Explanation:

Distribute the integers through the binomials.

Combine like-terms.

The answer is:  

Example Question #202 : Sat Subject Test In Math Ii

Simplify .

Possible Answers:

Correct answer:

Explanation:

We can start by distributing the negative sign in the parentheses term:

Now we can combine like terms.  The constants go together, and the variables go together:

Example Question #8 : Simplifying Expressions

Simplify .

Possible Answers:

Correct answer:

Explanation:

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 's and 's will still be separate terms:

Example Question #203 : Sat Subject Test In Math Ii

Simplify .

Possible Answers:

Correct answer:

Explanation:

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 

Possible Answers:

Correct answer:

Explanation:

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 #51 : Single Variable Algebra

Simplify .

Possible Answers:

Correct answer:

Explanation:

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 #11 : Simplifying Expressions

Simplify .

Possible Answers:

Correct answer:

Explanation:

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 #13 : Simplifying Expressions

Simplify .

Possible Answers:

Correct answer:

Explanation:

We start by distributing the  term through the parentheses:

Now we combine like terms.  Remember, we can't add variables if they have different exponent terms:

Example Question #14 : Simplifying Expressions

Simplify .

Possible Answers:

Correct answer:

Explanation:

Start by distributing the  term:

Now combine like terms.  Remember, if a variable has a different exponent, you can't add them:

Example Question #15 : Simplifying Expressions

Simplify .

Possible Answers:

Correct answer:

Explanation:

Start by distributing the  term:

Now collect like terms.  Remember, you can't add or subtract variables that have different exponents:

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