Name: _____________________
Test Sp – 4 makeup with scientific calculator
1. Find the exact value of each expression.
2 

b) sin 1  cos 

3

 1 
a) tan  cos1    
 2 

2. Solve without using logs. 81x
2
2x

1
9
3. Solve. log x  2   log x  5   2 log 3
4. Solve.
400
 150
1  95e0.6 x
5. Find the difference quotient and simplify your answer. f x  2x  3,
6. Solve each equation on the interval [0, 2).
cos 2x  sin x  0
7. a) Express the sum using summation notation. 1 
b) Find the sum of the sequence.
8. Solve for n.
n  2!  11n  22
n!
4
10
k 0
k 0
k  3
2 4 8 16
 

3 9 27 81

 
f xh  f x
h
Pre-calc
Name: ________________________
Test Sp – 4 makeup with graphing Calculator
precalc
9. To find the distance from the house at A to the house at B, a surveyor measures the angle ACB, which is
found to be 70°, then walks off the distance to each house, 50 feet and 70 feet, respectively. How far apart are
the houses?
10. A sequence is defined recursively. Write the first five terms of the sequence.
a1  2; ak 1  2ak
11. An aircraft spotted by two observers who are 1000 feet apart. As the airplane passes over the line joining
them, each observer takes a sighting of the angle of elevation to the plane, as indicated in the figure. How high
is the airplane?
12. Find the amount A accumulated after investing a principal P= $4800 for 17 years at an interest rate 6.2%
compounded quarterly.
13. The number P of students infected with flu at Northridge High School t days after exposure is modeled by
300
P t  
.
1  e 4 t
(a) What was the initial number (t=0) of students infected with the flu?
(b) How many students were infected after 3 days?
(c) When will 100 students be infected?
14. Find when f x   x  3 x  1 is increasing, decreasing, has a local max, has a local min, and has zeros.
15. Find the measure of the largest angle in the triangle with sides 4, 5, and 6.