Precalculus I Final Exam Review
Mrs. Parziale
Evaluate
27
2
3
log 7 1
ln e
Solve for x
log 4 x  2
3x  x  4  0
2
Rewrite
3
2
log x y
x
log 2
y
Find the inverse
f ( x)  3 x  5
{(1, 2), (3, 0), (4,5), (6,1)}
What is the center and radius?
( x  4)  ( y  3)  29
2
2
What is it?
2
2
2
2
x
y

1
16 5
x
y

1
10 8
What is :
Center?
X-intercepts?
Y-intercepts?
What is :
Center?
X-intercepts?
Y-intercepts?
What is the Probability?
• Two dice are rolled. What is the probability
that the sum is equal to 5 OR the sum is a
multiple of 2?
Which is not the same as tan?
1
cot 
sec 
csc 
csc 
sec 
sin 
cos 
What is the Equation?
• The local parking garage charges $10 for the
first 4 hours of parking and $2 for each
additional hour or fraction thereof. If C is the
cost of parking and H is the time in hours the
car is parked, write an equation that describes
this situation.
Without a Calculator!
• Evaluate the following:
9!
3!4!
(10  8)!
3!2!
7!
 10
2!4!
Which Quadrant?
• sin x < 0 and tan x > 0?
• sin x < 0 and sec x > 0?
• cos x < 0 and csc < 0?
How many choices?
• 20 questions, 3 choices each?
• 10 questions, 4 choices each?
Arc Length
• How long is the arc with
central angle of
5
6
and radius 11 cm?
• Given:
f ( x)  4 x  1
3
h( x ) 
2x
• Find:
f(2)
f(h(2))
f(h(x))
h(f(x))
• Given g(x) = cos x, find
• domain
range
• Amplitude
Period
• Given


y  5sin 2  x    2
2

• Domain
• Amplitude
• Phase Shift
Range
Period
Vertical Shift
find,
Factor Completely
4 x y  16 xyz
2
2
2 x  x  10
2
Solve for the variable
2 x  50  0
2
x  3x  28
2
Estimate
log 7 15
Solve for the variable
6e
3 x 1
 132
• Convergent or Divergent
1 1 1 1
, , , ,...
2 4 8 16
• Find the sum of the series.
• Evaluate
2+4+6+8+10+….+a50
• Evaluate
5
1
n 1
 3

n 1 2
5
 (2  3n)
n 1
5
1
n
 3 

n1 2
5
 3n  2
n 1
• Find the 15th term in the following sequence.
43  (n  2)
rn 
3
Find the Limits
4n  3
lim
n  7  10 n
n 3
lim
n  2  4n3
2
• Find the missing angles and sides.
Permutation or Combination?
• Ways 10 students can be lined up?
• Ways a pizza can be topped using 3 topping
from a choice of 6 toppings?
• Ways you can choose a President, VicePresident, Secretary, and Treasurer from a
group of 10 students.
• Ways to choose 4 people out of 10 possible
people to fill a student council?
• Ways 20 questions can be ordered?