All PSAT Math Resources
Example Questions
Example Question #2411 : Sat Mathematics
Possible Answers:
Correct answer:
Explanation:
Example Question #11 : Exponents And Rational Numbers
Rationalize the denominator:
Possible Answers:
Correct answer:
Explanation:
The conjugate of is
.
Now multiply both the numerator and the denominator by
and you get:
Hence we get
Example Question #2413 : Sat Mathematics
Solve for :
Possible Answers:
Correct answer:
Explanation:
Example Question #2421 : Sat Mathematics
Solve for .
Possible Answers:
Correct answer:
Explanation:
Example Question #2422 : Sat Mathematics
If,
What does
Possible Answers:
Correct answer:
Explanation:
If ,
then .
Example Question #231 : Exponents
Possible Answers:
Correct answer:
Explanation:
From the equation in the problem statement
Now squaring both sides we get
this is a quadratic equation which equals
and the factors of this equation are
This gives us .
However, if we plug these solutions back into the original equation, does not create an equality. Therefore,
is an extraneous solution.
Example Question #1201 : Psat Mathematics
For some positive integer , if
, what is the value of
?
Possible Answers:
Correct answer:
Explanation:
If , then
must equal 3 (Note that
cannot be -3 because you need it to be positive.
Now, plug into the new equation
:
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