| |
| |
1. |
Evaluate  . |
| |
|
A. |
4 |
B. |
2 |
| |
|
C. |
8 |
D. |
3 |
| |
|
Hint |
|
| |
2. |
Graph y < 3x + 2. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
3. |
Which equation is represented by the graph? |
| |
|
 |
| |
|
A. |
y = -2ex |
B. |
y = 2ex |
| |
|
C. |
y = -2e-x |
D. |
y = 2e |
| |
|
Hint |
|
| |
4. |
Solve the equation log5 (3x + 9) = log5 (5x - 3). |
| |
|
A. |
4 |
B. |
5 |
| |
|
C. |
6 |
D. |
3 |
| |
|
Hint |
|
| |
5. |
The Consumer Price Index between 1950 and 1996 can be modeled by the exponential function y = 20.48e0.0442x, where x is the number of years since 1950. Predict the CPI in 2040. |
| |
|
A. |
992.7 |
B. |
1015.6 |
| |
|
C. |
534.3 |
D. |
1093.8 |
| |
|
Hint |
|
| |
6. |
Write the equation y = 15,000(1.02)x in terms of base e. |
| |
|
A. |
y = 15,000e0.0198x |
B. |
y = 15,000ex |
| |
|
C. |
y = 15,000(1.02)ln x |
D. |
y = 15,000(1.02)e ln x |
| |
|
Hint |
|
| |
7. |
Express  using rational exponents. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
8. |
Which inequality represents the graph shown? |
| |
|
 |
| |
|
A. |
y > 3-x |
B. |
y < -3x |
| |
|
C. |
y < 3-x |
D. |
y > -3x |
| |
|
Hint |
|
| |
9. |
The population of a certain city can be modeled by the equation
y = 22,219e0.027t, where t is the number of years since 1946. What was the population of that city in 1978? |
| |
|
A. |
47,321 |
B. |
52,718 |
| |
|
C. |
49,946 |
D. |
40,243 |
| |
|
Hint |
|
| |
10. |
Solve the equation  |
| |
|
A. |
5 |
B. |
25 |
| |
|
C. |
130 |
D. |
50 |
| |
|
Hint |
|
| |
11. |
Find the value of log9219 using the change of base formula. |
| |
|
A. |
2.4527 |
B. |
1.3862 |
| |
|
C. |
0.2601 |
D. |
3.1021 |
| |
|
Hint |
|
| |
12. |
Solve 7x = 6x + 2. |
| |
|
A. |
-23.2469 |
B. |
11.6234 |
| |
|
C. |
23.2469 |
D. |
-27.4312 |
| |
|
Hint |
|
| |
13. |
Solve 7.3 = 14.1 lnx. |
| |
|
A. |
1.6782 |
B. |
-0.6583 |
| |
|
C. |
3.9941 |
D. |
-0.2859 |
| |
|
Hint |
|
| |
14. |
Solve 23x = 5x + 2 by using natural logarithms. |
| |
|
A. |
0.0872 |
B. |
0.8356 |
| |
|
C. |
3.4243 |
D. |
6.8486 |
| |
|
Hint |
|
|
|