All SAT II Math II Resources
Example Question #1 : Simplifying Expressions
Decrease by 40%. Which of the following will this be equal to?
A number decreased by 40% is equivalent to 100% of the number minus 40% of the number. This is taking 60% of the number, or, equivalently, multiplying it by 0.6.
Therefore, decreased by 40% is 0.6 times this, or
Example Question #2 : Simplifying Expressions
Example Question #3 : Simplifying Expressions
Assume all variables assume positive values.
Example Question #4 : Simplifying Expressions
Assume all variables assume positive values. Simplify:
The expression is already simplified.
The expression is undefined.
Any nonzero expression raised to the power of 0 is equal to 1. Therefore,
Example Question #5 : Simplifying Expressions
Simplify the following expression:
Distribute the outer term through both terms in the parentheses.
Multiply each term.
There are no like-terms.
The answer is:
Example Question #6 : Simplifying Expressions
Simplify the expression:
Distribute the integers through the binomials.
The answer is:
Example Question #7 : Simplifying Expressions
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 #51 : Single Variable Algebra
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 #52 : Single Variable Algebra
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 #53 : Single Variable Algebra
A square root is the inverse of squaring a term, so they cancel each other out:
From there, there's nothing left to simplify.