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1. |
State the domain and the range of the relation {(1, 2), (-4, 2), and (3, 5)}. Then state whether the relation is a function. |
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A. |
The domain is {-4, 1, 3}, the range is {2, 5}, and the relation is not a function. |
B. |
The domain is {-4, 1, 3}, the range is {2, 5}, and the relation is a function. |
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C. |
The domain is {2, 5}, the range is {-4, 1, 3}, and the relation is a function. |
D. |
The domain is {2, 5}, the range is {-4, 1, 3}, and the relation is not a function. |
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Hint |
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2. |
If you use the elimination method to solve the system of equations 3x - 4y = 9 and 2x + 3y = 7, which of the following would be the best method?
Method I: Multiply both sides of the first equation by 2, and multiply both sides of the second equation by 3. Then add the two equations.
Method II: Multiply both sides of the first equation by 3, and multiply both sides of the second equation by 4. Then add the two equations.
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A. |
Method I |
B. |
Method II |
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C. |
Neither Method I nor Method II is correct. |
D. |
Both Method I and Method II are correct. |
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Hint |
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3. |
Solve the system of equations by elimination.
2x + y - z = 3 x + y + z = 5 x - 2y + z = 2
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A. |
(1, 1, 2) |
B. |
(2, 1, 2) |
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C. |
(2, 2, 1) |
D. |
(1, 2, 1) |
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Hint |
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4. |
The graph |y| = 4 - |2x| is symmetric with respect to __________. |
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A. |
the y-axis |
B. |
both the x-axis and the y-axis |
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C. |
the x-axis |
D. |
neither the x-axis nor the y-axis |
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Hint |
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5. |
Solve > 0. |
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A. |
-2 < x < 0 or x < 1 |
B. |
-1 < x < 0 or x > 2 |
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C. |
-2 < x < 0 or x > 2 |
D. |
-1 < x < 0 or x > 1 |
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Hint |
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6. |
Find the measure of the reference angle of -200°. |
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A. |
-200° |
B. |
20° |
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C. |
160° |
D. |
40° |
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Hint |
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7. |
If the angle the rope makes with the level ground is 46° 30', how long is the rope? |
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A. |
about 23.6 feet |
B. |
about 25.8 feet |
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C. |
about 47.5 feet |
D. |
about 51.8 feet |
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Hint |
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8. |
Evaluate sin (arctan ). Assume that the angle is in Quadrant I. |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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9. |
Find a numerical value of one trigonometric function of x if  |
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A. |
 |
B. |
 |
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C. |
 |
D. |
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Hint |
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10. |
If x and y are acute angles such that sin x = and sin y = , what is the value of cos (x - y)? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
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Hint |
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11. |
Graph the point . |
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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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12. |
Find . |
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A. |
0 |
B. |
does not exist |
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C. |
5 |
D. |
7 |
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Hint |
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13. |
Use the first three terms of the exponential series and a calculator to approximate the value of e1.85 to the nearest hundredth. |
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A. |
5.62 |
B. |
2.85 |
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C. |
4.56 |
D. |
6.36 |
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Hint |
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14. |
Which best describes this graph? |
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A. |
inverse variation |
B. |
direct variation |
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C. |
none of these |
D. |
joint variation |
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Hint |
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15. |
Complete the identity = _______. |
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A. |
sec x |
B. |
sin x |
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C. |
-cos x |
D. |
tan x |
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Hint |
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16. |
What is the distance between the lines given by the equations 5x - 2y = 14 and y = x - 9? |
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A. |
 |
B. |
 |
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C. |
0 |
D. |
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Hint |
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17. |
Write as the sum of unit vectors for U(4, 3, -8) and V(-5, -4, -2). |
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A. |
 |
B. |
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C. |
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D. |
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Hint |
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18. |
Graph the point T . |
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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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19. |
Simplify (3 + 4i) + (5 – 7i). |
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A. |
-4 + 9i |
B. |
15 - 28i |
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C. |
7 - 2i |
D. |
8 - 3i |
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Hint |
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20. |
Which conic section could have an eccentricity e = ? |
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A. |
any conic section |
B. |
hyperbola |
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C. |
ellipse |
D. |
parabola |
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Hint |
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