The calculus BC test covers solving equations, simplifying expressions, rationalizing denominators and numerators, determining domains of functions, evaluating limits, and setting up derivatives. Students are asked to solve equations, simplify expressions, rationalize denominators and numerators, determine domains of functions, and set up derivatives of given functions without simplifying.

1. Name_________________________
____
CALCULUS BC TEST #1 1st SIX WEEKS
Solve for the unknown.
1. 25n − 3 =
n 0 2. 3 y +8 ≤10
Simplify
3. x+3 4. −x− 8
x3 + 27 x 2 − 64
Rationalize the denominator.
3
5. 3−1
Rationalize the numerator.
x+5−3
6.
x−4
What is the domain of the following functions?
2x
7. g ( x) =
( x − 7) 2
9x −3
8. f ( x) =
x

2. f ( x + h) − f ( x )
9. Simplify h
, where f ( x) =x 2 − x −
2 5
g ( x + h) − g ( x )
10. Set up h
, where g ( x) =sin( x)
don’t try to simplify, just set up only.
11. Fill in the appropriate values in the empty spaces. An example has been done for
you.