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1. |
At their closest points, two planets are approximately 6.5 × 108 kilometers apart. Write the distance in standard form. |
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A. |
650,000,000 |
B. |
6,500,000 |
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C. |
65,000,000 |
D. |
650,000 |
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Hint |
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2. |
Solve  . |
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A. |
25 |
B. |
5 |
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C. |
1728 |
D. |
144 |
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Hint |
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3. |
The y-intercept for the exponential function y = bx is _____. |
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A. |
(0, -1) |
B. |
(0, 0) |
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C. |
(0, 1) |
D. |
(0, 2) |
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Hint |
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4. |
Graph y < 3x + 2. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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5. |
Which equation is represented by the graph? |
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A. |
y = 2e |
B. |
y = -2ex |
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C. |
y = -2e-x |
D. |
y = 2ex |
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Hint |
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6. |
Write the equation  in exponential form. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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7. |
Write the equation  in logarithmic form. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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8. |
Solve 6x - 2 = 4x by graphing. |
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A. |
9.12 |
B. |
7.48 |
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C. |
6.26 |
D. |
8.84 |
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Hint |
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9. |
Convert log5 145 to a natural logarithm. |
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A. |
 |
B. |
ln 145 - ln 5 |
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C. |
 |
D. |
ln 5 - ln 145 |
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Hint |
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10. |
Find the balance of a $5,000 investment after 10 years earning 6.75% interest compounded continuously. |
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A. |
$5,033.86 |
B. |
$10,033.86 |
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C. |
$5,349.15 |
D. |
$9,820.16 |
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Hint |
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11. |
Evaluate log(6(3)-4) |
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A. |
-1.1303 |
B. |
-5.0211 |
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C. |
2.6355 |
D. |
2.6866 |
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Hint |
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12. |
Convert log4364 to a natural logarithm and evaluate. |
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A. |
0.2351 |
B. |
4.2559 |
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C. |
4.4889 |
D. |
4.2539 |
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Hint |
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13. |
If the population of a city can be modeled by the equation y = 12,500(1.03) x, where x is the number of years since 1965, what is the estimated population in 2006? |
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A. |
41,999 |
B. |
38, 611 |
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C. |
45,100 |
D. |
549,464 |
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Hint |
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14. |
The number of bacteria in a culture can be modeled by the exponential function N = 6.5828(1.1769)t, where t is the number of hours. What will the number of bacteria be in 19 hours? Round to nearest whole number. |
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A. |
203 |
B. |
145 |
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C. |
121 |
D. |
177 |
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Hint |
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