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1. |
State the domain and range of the relation. |
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A. |
All real numbers are included in the domain and the range. |
B. |
All real numbers are included in the domain, and 3 is included in the range. |
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C. |
3 is included in the domain, and all real numbers are included in the range. |
D. |
3 is included in the domain, and 3 is included in the range. |
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Hint |
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2. |
The population of Abnerville was 12,500 people in 1950. In 2000, the population was 250,000. Find the average rate of increase in the population over the 50 year period. |
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A. |
47,500 people per year |
B. |
47.5 or about 48 people per year |
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C. |
475 people per year |
D. |
4750 people per year |
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Hint |
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3. |
Suppose a lumber mill can turn out up to 900 units of product each week. The mill must produce at least 100 units of lumber and 400 units of plywood. Write the constraints as a system of inequalities where x = the number of units of lumber and y = the number of units of plywood. |
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A. |
x  100, y  400, and
x + y 900 |
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B. |
x 100, y 400, and
x + y 900 |
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C. |
x 100, y 400, and
x + y 900 |
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D. |
x 100, y 400, and
x + y 900 |
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Hint |
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4. |
If you use the parent graph y = x2 as a reference, describe how you would
graph y = -x2 - 3. |
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A. |
Reflect the parent graph over the x-axis and then move the graph up 3 units. |
B. |
Reflect the parent graph over the x-axis and then move the graph down 3 units. |
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C. |
Reflect the parent graph over the y-axis and then move the graph to the left 3 units. |
D. |
Reflect the parent graph over the y-axis and then move the graph down 3 units. |
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Hint |
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5. |
Choose the graph of y < 2 - |x - 1|. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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6. |
Use the parent graph f(x) =  to graph the function
g(x) =  ; identify the new location of each asymptote. |
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A. |
none of these |
B. |
The vertical asymptote is at
x = -3, and the horizontal asymptote is at y = 0. |
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C. |
The vertical asymptote is at
x = 3 and the horizontal asymptote is at y = 1. |
D. |
The vertical asymptote is at
x = 0, and the horizontal asymptote is at y = -3. |
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Hint |
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7. |
Approximate the real zeros of the function f(x) = 2x2 + 4x + 1 to the nearest tenth. |
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A. |
-1.6 and -0.2 |
B. |
-1.8 and -0.2 |
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C. |
-1.8 and -0.4 |
D. |
-1.7 and -0.3 |
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Hint |
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8. |
Find the value of  for an angle  in standard position if a
point with coordinates (-12, 5) lies on its terminal side. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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9. |
In  if A = 54.3°, B = 63.8°, and b = 12.2, find a to the
nearest tenth. |
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A. |
about 11.0 units |
B. |
about 11.9 units |
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C. |
about 12.3 units |
D. |
about 11.7 units |
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Hint |
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10. |
Two observers 3 miles apart and facing each other find that the
angles of elevation of a balloon in the same vertical plane with
themselves are 28° and 31° respectively. Find the distance from
the balloon to the observer located at the 28° angle. |
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A. |
about 3.5 miles |
B. |
about 1.6 miles |
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C. |
about 1.8 miles |
D. |
about 2.4 miles |
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Hint |
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11. |
In Hero's Formula, to find the area of a triangle, s in the formula
represents ______. |
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A. |
none of these |
B. |
the sum of any two of the three sides of the triangle |
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C. |
the perimeter of the triangle |
D. |
the semiperimeter of the triangle |
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Hint |
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12. |
Evaluate tan  . |
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A. |
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B. |
 |
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C. |
- |
D. |
- |
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Hint |
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13. |
A sector has an area of 14.5 square meters. The radius of the circle is 4 meters. Find the radian measure of the central angle to the nearest tenth. |
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A. |
7.3 radians |
B. |
1.8 radians |
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C. |
14.6 radians |
D. |
3.6 radians |
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Hint |
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14. |
Find the period of the function y = csc  - 5. |
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A. |
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B. |
4 |
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C. |
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D. |
8 |
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Hint |
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15. |
If csc  = 2, find sin . |
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A. |
2 |
B. |
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C. |
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D. |
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Hint |
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16. |
Find an ordered triple that represents  if  and  . |
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A. |
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B. |
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C. |
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D. |
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Hint |
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17. |
Suppose the equation  models the number of liters of air in the lungs of a gorilla at t seconds. Use a graphing calculator to graph the function with Xmin = 0 and Xmax = 10. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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18. |
What type of relationship does the scatter plot suggest? |
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A. |
no linear relationship |
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B. |
a linear relationship with a positive correlation |
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C. |
no correlation |
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D. |
a linear relationship with a negative correlation |
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Hint |
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19. |
Sam has $10,000 to deposit in two different savings accounts. He wants at least $3,000 in the account that earns 3% interest. He wants no less than $5,000 in the account with 7% interest. Write a system of inequalities to represent this situation. |
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A. |
x 3000
y 5000
x + y 10,000 |
B. |
x 5000
y 3000
x + y 10,000 |
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C. |
x 3000
y 5000
x + y 10,000 |
D. |
x 3000
y 5000
x + y 10,000 |
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Hint |
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20. |
Find the distance between the lines given by the equations y =  x -  and 2x - 5y = 28. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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