Download Pretest 9a (thru Lesson 56) - Crest Ridge R-VII

Precalculus
Pretest 9a (through Lesson 56)
Name ______________________________
SHOW YOUR WORK
1. Fifteen students are to be seated around a circular table. How many seating arrangements are
possible?
2. On the outbound leg of a 450 mile trip, the plan flew at a slow speed. On the trip back (also 450
miles), the pilot tripled the speed of the plane. How fast did the plane travel on the trip back if the
total traveling time was 8 hours?
3. The wheels on the toy car have a radius of 2 inches and are revolving at 50 radians per second.
What is the linear velocity of the toy car in feet per minute?
4. How many distinguishable permutations can be formed from the letters in the word success?
5. Complete the square to graph y  x 2  2 x  4 .
Solve for x.
6. 2ln 2  2ln 3  2ln  x  4 
7. log9 12 x  3log9 2  1
8.
(b) Write 6300 as e raised to a power.
(a) Write 6300 as 10 raised to a power.
9. Let f  x   x and g  x   x  6. Which of the following statements is true?
a. The graph of g is the graph of f translated six units to the right.
b. The graph of g is the graph of f translated six units to the left.
c. The graph of g is the graph of f translated six units up.
d. The graph of g is the graph of f translated six units down
10. Find the area of the segment bounded by an arc of measure 60° and the chord joining the
endpoints of the arc in a circle of radius 6 feet.
11. Factor x 2  5 x  8 over the set of complex numbers.
Solve the following equations given the 0o    360o .
12. 3tan 3  3  0
13. 3csc

2
2 3 0
14. Find the equation of the line equidistant from the points (2, 4) and (-4, -4). Write the equation in
double intercept form.
15. The latitude of the U.S. Air Force Academy is 38° north of the equator. If the diameter of the
earth is 7920 miles, how far is the U.S. Air Force Academy from the equator?
16. The helicopter could fly at 4 times the speed of the wind. Thus, it could travel 600 miles
downwind in 1 hour more than it took to travel 300 miles upwind. What was the speed of the
helicopter in still air?
17. Find the area of this triangle.
128 ft.
42o
160 ft.
18. Write the equation of this sinusoid in terms of the cosine function:
10
-6.28
-360
-4.71
-3.14
-180
-1.57
-9
-18
-1
y
xx
1.57
3.14
180
4.71
6.28
360
Scrambled Answers
120°, 240°
50  2  60 
14!
12
103.799 , e8.748
10°, 70°, 130°, 190°, 250°, 310°
80 mph
a
x=2
225 mph
2630 miles

5
7 
5
7 
i 
x


i
 x  
2 2 
2 2 


y  9 cos x  9
ft/min
6852 ft.2
x=6
420
y
3
3
x
4
4
3.26 ft.2