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Integrated Math III

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  1. Divide the following

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2. Factor completely:

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3. Describe the end behavior of:

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4. Determine the domain and range of:

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5. Determine the inverse of

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6. Solve:

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7. Solve. Round to three decimal places:

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8. A bag contains 17 red marbles, 8 blue marbles, 6 yellow marbles, and 3 green marbles. Three marbles are randomly drawn from the bag one at a time and not replaced. Find the probability that red, blue, and green marbles are selected in that order. Give answer as a fraction and percent rounded to the nearest tenth.

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9. Write the explicit formula that represents the sequence. Hint: Decide if arithmetic or geometric first.

-6, 3, 12, 21, …

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10. Determine the given term in the sequence. Hint: Decide if arithmetic or geometric first.

3, 15, 75, 375, … 9th term

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11. The prices in a weekly radio contest began at $50 for the first week and increased to $80 the next week. If the pattern continues, how much will be given away during the 8th week?

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12. The heights of 1800 teenagers are normally distributed with a mean of 66 inches and a standard deviation of 2 inches. What is the probability that a teenager selected at random has a height greater than 68 inches?

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13. Describe the vertical and horizontal cross sections of a cylinder.

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14. The territory of a small town town can be modeled by a rectangle with dimensions 3.9 miles and 14.1 miles. If the town has a population of 8,331, what is its population density?

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15. Determine the measure of ACD.

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16. Determine the measure of EDF.

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17. Find the indicated measure.

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18. Find the indicated measures.

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19. Determine the equation of the circle given the center: (8, -12) and radius: 6

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20. Determine the center and radius of the circle given the equation:

x2+ 10x +y2 - 14y = 7

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21. Determine the value of x.

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22. Determine the values of u and v.

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23. Determine

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24. Find the area of a sector formed by a central angle of 150 degrees in a circle with a radius of 17 inches.

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25. The heights of 2000 teenagers are normally distributed with a mean of 66 inches and a standard deviation of 2 inches. Approximately how many teenagers have a height between 62 and 72 inches?