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1. |
Solve the system of equations y = 0.5x and 4y = x - 2 by graphing. |
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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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2. |
If  find  |
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A. |
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B. |
7 |
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C. |
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D. |
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Hint |
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3. |
Find the area of  if d =14.2, D = 33.6°, and E = 15.2°. |
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A. |
about 46.5 square units |
B. |
about 71.9 square units |
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C. |
about 62.1 square units |
D. |
about 35.9 square units |
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Hint |
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4. |
In  given a = 22, b = 39 and c = 19, find B. |
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A. |
about 144.0° |
B. |
about 36.0° |
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C. |
about 54.0° |
D. |
about 126.0° |
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Hint |
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5. |
Determine the angular displacement in radians of 11.3 revolutions. Round to the nearest tenth. |
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A. |
3.6 radians |
B. |
1.8 radians |
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C. |
35.5 radians |
D. |
71.0 radians |
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Hint |
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6. |
Use the sum or difference identity for sine to find the exact value
of sin 375°. |
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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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7. |
Graph the point P(5, 60°). |
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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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8. |
The graph of  is a ______. |
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A. |
circle |
B. |
rose |
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C. |
spiral of Archimedes |
D. |
cardioid |
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Hint |
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9. |
Write the equation 3x + 4y = 9 in polar form. |
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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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10. |
Solve the equation 3x + y + 2i = 12 + xi - yi for x and y, where x and y are real numbers. |
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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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11. |
If M(5, -4) is the midpoint of  and C has coordinates (9, -2), find the coordinates of D. |
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A. |
(-6, 1) |
B. |
(7, -3) |
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C. |
(1, -6) |
D. |
(-3, 7) |
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Hint |
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12. |
Solve the system of equations algebraically.
x2 - y2 = 12
x2 + 2y2 = 24 |
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A. |
no solution |
B. |
(4, 2), (-4, -2) |
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C. |
(2, 4), (-2, -4) |
D. |
(±4, 2), (±4, -2) |
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Hint |
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13. |
Find the domain of f(g(x)) given f(x) =  , and g(x) = x-1 |
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A. |
all real numbers |
B. |
x 1 |
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C. |
x0, 1, -1 |
D. |
x1,-1 |
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Hint |
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14. |
Write an equation of a line that has no slope and passes through
the point (5,-6). |
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A. |
x = 5 |
B. |
y = -6 |
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C. |
y = 5 |
D. |
x = -6 |
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Hint |
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15. |
Find the inverse of  . |
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A. |
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B. |
does not exist |
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C. |
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D. |
0 |
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Hint |
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16. |
Sam has $10,000 to deposit in two different savings accounts. He wants at least $3,000 in the account with 3% interest. He wants no less than $5,000 in the account with 7% interest.Graph this system of inequalities. |
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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. |
If y varies jointly as x and the cube root of z,
and y = 30 when x = -5
and z = 27, find y when z = -8 and x = 0.5. |
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A. |
y = -2 |
B. |
y = 20 |
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C. |
y = 4 |
D. |
y = 2 |
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Hint |
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18. |
Complete the identity  = _______. |
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A. |
tan x |
B. |
sin x |
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C. |
-cos x |
D. |
sec x |
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Hint |
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19. |
If a rectangular prism represented by the vertex matrix below is translated using the vector  , find the vertex matrix for the translated image.
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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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20. |
Find the product  . Express the solution in rectangular form. |
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A. |
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B. |
3 |
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C. |
0 |
D. |
-3 |
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Hint |
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