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1. |
Suppose a figure is animated to spin around a certain point. If the image has key points as A(2, 1), B(3, 5) and C(6, 2), and the rotation is about the origin, find the location of these points at a 270° counterclockwise rotation. |
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A. |
A'(1, -2), B'(-5, 3), C'(-2, 6) |
B. |
A'(-2, -1), B'(-3, -5),
C'(-6, -2) |
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C. |
A'(1, -2), B'(5, -3), C'(2, -6) |
D. |
A'(-1, 2), B'(-5, 3), C'(-2, 6) |
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Hint |
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2. |
Find the value of  . |
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A. |
24 |
B. |
-28 |
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C. |
-24 |
D. |
28 |
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Hint |
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3. |
Solve |x - 1| - 8 < 3. |
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A. |
{x | -4 < x < 3} |
B. |
{x | -8 < x < 10} |
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C. |
{x | -10 < x < 12} |
D. |
{x | 5 < x < 10} |
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Hint |
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4. |
If y varies jointly as the square of x and the cube of z and y = 9 when x = 3 and z = 4, find y when x = 8 and z = 5. |
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A. |
40 |
B. |
45 |
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C. |
100 |
D. |
125 |
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Hint |
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5. |
Solve  > 0. |
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A. |
-1 < x < 0 or x > 2 |
B. |
-2 < x < 0 or x < 1 |
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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. |
If  , find  . |
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A. |
3 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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7. |
If P = 27° and r = 11, find p. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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8. |
Find the area of  if a = 5, b = 8, and c = 10. |
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A. |
about 15.2 square units |
B. |
about 19.8 square units |
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C. |
about 7.6 square units |
D. |
about 39.6 square units |
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Hint |
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9. |
A clothes dryer is rotating at 450 revolutions per minute. Determine its angular velocity in radians per second. Round to the nearest tenth. |
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A. |
282.7 radians/s |
B. |
23.6 radians/s |
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C. |
47.1 radians/s |
D. |
2,827.4 radians/s |
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Hint |
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10. |
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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11. |
Which pair of vectors is perpendicular? |
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A. |
 ,  |
B. |
 ,  |
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C. |
 ,  |
D. |
 ,  |
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Hint |
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12. |
The cross product of two vectors is _______. |
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A. |
perpendicular to both vectors |
B. |
not a vector |
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C. |
parallel to both vectors |
D. |
a dot product |
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Hint |
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13. |
Suppose the equation  models a buoy bobbing up and down in the water. The equilibrium point is y = 0. Describe the location of the buoy when t = 7. |
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A. |
3 units below equilibrium |
B. |
3 units above equilibrium |
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C. |
6 units above equilibrium |
D. |
6 units below equilibrium |
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Hint |
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14. |
A bank charges a $10 fee if the account balance is less than $200. If the balance is in between $200 and $500 there is a $5 fee. If at least $500 is in the account, there is no fee. What type of function best represents this situation? |
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A. |
absolute value function |
B. |
step function |
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C. |
greatest integer function |
D. |
piecewise function |
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Hint |
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15. |
Solve the system of three equations by elimination: 5x + 2y - 3z = 10
2x - 2y + 4z = 6
x - y + 2z = 3
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A. |
no solution |
B. |
(2, -5, 3) |
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C. |
(3, 4, 2) |
D. |
infinite solutions |
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Hint |
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16. |
Find the values of x and y for which the matrix equation is true. |
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A. |
x = 2, y = 3 |
B. |
x = 1, y = 0 |
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C. |
x = 4, y = 2 |
D. |
x = 3, y = 2 |
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Hint |
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17. |
Use the sum or difference identity for tangent to find the exact value of tan 165°. |
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A. |
1 |
B. |
- |
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C. |
 |
D. |
 - 2 |
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Hint |
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18. |
 PQR has vertices P(5, 8), Q(9, 5), and R(2, 4). Find the equation in standard form of the line that bisects  P. |
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A. |
7x + y = 43 |
B. |
x - 7y = -67 |
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C. |
3x + 4y = 47 |
D. |
4x + 3y = -4 |
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Hint |
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19. |
Write the parametric equations for the line passing through P(3, -4) and parallel to  . |
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A. |
x = 3 + t and y = 4 – 9t |
B. |
x = 3t + 1 and y = 4t - 9 |
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C. |
x = t + 3 and y = 9t - 4 |
D. |
x = 1 + 3t and y = 9 – 4t |
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Hint |
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20. |
Write a matrix that will translate a rectangular prism (which will always have 8 vertices) using the vector  . |
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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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