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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. |
65,000,000 |
B. |
650,000 |
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C. |
6,500,000 |
D. |
650,000,000 |
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Hint |
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2. |
Evaluate  . |
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A. |
7 |
B. |
-7 |
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C. |
 |
D. |
 |
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Hint |
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3. |
Which equation is represented by the graph? |
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A. |
y = -2ex |
B. |
y = 2e |
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C. |
y = 2ex |
D. |
y = -2e-x |
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Hint |
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4. |
Describe a situation that could be modeled by the equation A = 1000e0.08t. |
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A. |
the amount in an account after $8000 is invested at 10% compounded continuously for t years |
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B. |
the amount in an account after $t is invested at 8% compounded continuously for 10 years |
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C. |
the amount in an account after $8000 is invested at t% compounded continuously for 8 years |
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D. |
the amount in an account after $1000 is invested at 8% compounded continuously for t years |
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Hint |
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5. |
Graph y = log10 (x + 3). |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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6. |
Solve the equation 34x = 8x - 5 by using natural logarithms. |
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A. |
-2.9412 |
B. |
-4.3150 |
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C. |
-3.4271 |
D. |
-4.4912 |
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Hint |
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7. |
Suppose the population in a city can be modeled by the equation
y = 15,000(1.02)x, where x is the number of years since 1950. Predict the population in 2010. |
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A. |
5,486 |
B. |
523,333 |
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C. |
33,967 |
D. |
49,215 |
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Hint |
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8. |
Which inequality represents the graph shown? |
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A. |
y  2x - 3 |
B. |
y < 2x + 3 |
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C. |
y  2x - 3 |
D. |
y > 2x + 3 |
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Hint |
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9. |
Which inequality represents the graph shown? |
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A. |
y > -3x |
B. |
y < -3x |
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C. |
y > 3-x |
D. |
y < 3-x |
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Hint |
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10. |
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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11. |
Solve 46x = 496. |
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A. |
4.4771 |
B. |
0.6472 |
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C. |
0.7462 |
D. |
3.6413 |
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Hint |
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12. |
Solve 7x = 6x + 2. |
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A. |
-23.2469 |
B. |
11.6234 |
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C. |
-27.4312 |
D. |
23.2469 |
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Hint |
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13. |
Convert log4364 to a natural logarithm and evaluate. |
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A. |
0.2351 |
B. |
4.2559 |
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C. |
4.2539 |
D. |
4.4889 |
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Hint |
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14. |
The Consumer Prime Index between 1950 and 1966 can be modeled by the exponential function y = 20.48e0.0442x, where x is the number of years since 1950. Predict the CPI in 2013. |
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A. |
516.0 |
B. |
27.1 |
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C. |
20.0 |
D. |
331.6 |
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Hint |
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