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1. |
The revenue for the sale of x objects is r(x) = 8x. The cost of manufacturing x objects is c(x) = 0.5x + 300. Write the profit function. |
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A. |
8.5x - 300 |
B. |
8.5x + 300 |
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C. |
7.5x + 300 |
D. |
7.5x - 300 |
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Hint |
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2. |
Jane is opening a home-based business. She determined that she will need $4500 to buy a computer and supplies to start. She expects expenses for each following month to be $800. Write an equation that models the total expense y after x months. |
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A. |
y = 800x - 4500 |
B. |
y = 4500x + 800 |
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C. |
y = 800x + 4500 |
D. |
y = 4500x - 800 |
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Hint |
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3. |
Determine two points that appear to represent the data in the scatter plot. Then find and interpret the slope. |
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A. |
Mary improved her free throw performance from year-to-year by an average of about 20% |
B. |
Mary improved her free throw performance from year-to-year by an average of about 15% |
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C. |
Mary improved her free throw performance from year-to-year by an average of about 10%. |
D. |
Mary improved her free throw performance from year-to-year by an average of about 25%. |
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Hint |
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4. |
An automobile manufacturer produces two kinds of cars--the Bobcat x and the Lion y. The company must always produce twice as many Bobcats as Lions and at least 300 cars but no more than 1200 cars per day. Model this situation algebraically. |
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A. |
300  2x + y 1200 |
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B. |
300 x + 2y 1200 |
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C. |
300 x + y 1200 and x = 2y |
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D. |
300 x + 2y 1200 and x = 2y |
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Hint |
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5. |
Graph y = 1 +  . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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6. |
Find the discriminant of x2 - 2x + 20 = 0. |
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A. |
76 |
B. |
-76 |
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C. |
-72 |
D. |
72 |
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Hint |
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7. |
In a polynomial equation, if there is one change in sign of the coefficients of the terms, ____. |
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A. |
there could be one or three positive real zeros |
B. |
none of the above is correct |
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C. |
there is exactly one positive real zero |
D. |
there is one imaginary root |
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Hint |
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8. |
Solve  . |
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A. |
3 |
B. |
2 |
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C. |
1 |
D. |
0 |
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Hint |
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9. |
Write north latitude 44° 10' 26" as a decimal rounded to the
nearest thousandth. |
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A. |
44.172° |
B. |
44.177° |
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C. |
44.174° |
D. |
44.173° |
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Hint |
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10. |
Which is an example of a cofunction relationship? |
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A. |
sin 30° = cos 60° |
B. |
sin 30° = sin 60° |
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C. |
sin 30° = tan 60° |
D. |
sin 30° = cot 60° |
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Hint |
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11. |
A security light is being installed outside a loading dock. The light is mounted 25 feet above the ground. The light must be placed at an angle so that it illuminates a parking lot. If the end of the parking lot is 125 feet from the loading dock, what should be the angle of depression of the light? |
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A. |
about 78.5° |
B. |
about 11.3° |
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C. |
about 11.5° |
D. |
about 78.7° |
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Hint |
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12. |
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. |
14.6 radians |
B. |
1.8 radians |
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C. |
3.6 radians |
D. |
7.3 radians |
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Hint |
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13. |
Find the period of the function y = csc  - 5. |
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A. |
 |
B. |
8 |
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C. |
 |
D. |
4 |
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Hint |
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14. |
Find Arcsin  . |
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A. |
 |
B. |
 |
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C. |
- |
D. |
 |
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Hint |
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15. |
Solve the system of 3 equations by substitution. x = 3y + 2z
2x + 3y + 2z = 3
-x + y - z = 6 |
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A. |
infinite solutions |
B. |
(8, 4, -2) |
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C. |
(1, 3, -4) |
D. |
no solution |
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Hint |
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16. |
Solve the system of inequalities by graphing.
2x + y 3
2x + y  -2
y 4
x < 1 |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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17. |
Which is an odd function? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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18. |
The equation f(-x) = -f(x) is true for which statement? |
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A. |
only even functions |
B. |
only odd functions |
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C. |
both odd functions and relations symmetrical about the origin |
D. |
only functions with point symmetry |
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Hint |
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19. |
Determine which ordered pair is a solution of the inequality y > |3x - 4| + 3. |
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A. |
(1,5) |
B. |
(0,7) |
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C. |
(0,0) |
D. |
(3,7) |
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Hint |
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20. |
If y varies directly as the square root of x and x = 25 when y = -15, find x
when y = -108. |
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A. |
x = 4500 |
B. |
x = 1500 |
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C. |
x = 6 |
D. |
x = -5 |
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Hint |
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