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1. |
State the domain of the function  |
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A. |
all real numbers except 3 |
B. |
all real numbers except 0 |
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C. |
all real numbers except 0, 1, and 3 |
D. |
all real numbers except 0 and 3 |
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Hint |
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2. |
Find the zero of the function f(x) = -8x + 4. |
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A. |
2 |
B. |
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C. |
 |
D. |
-2 |
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Hint |
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3. |
Determine whether the graphs of the pair of equations 3x - 2y = 7 and 3x + 2y = 7 are parallel, coinciding, or neither. |
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A. |
coinciding |
B. |
all are correct |
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C. |
neither |
D. |
parallel |
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Hint |
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4. |
If you use the substitution method to solve the system of equations 3x - 2y = 4 and x + y = 5, which of the following would be the best method?
Method I: Solve the second equation for x, and substitute 5 - y for x into the first equation.
Method II: Solve the second equation for y, and substitute 5 - x for y into the first equation.
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A. |
Method II |
B. |
Neither Method I nor Method II is correct. |
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C. |
Both Method I and Method II are correct. |
D. |
Method I |
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Hint |
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5. |
Solve the system of equations by substitution.
x = z x - 2y + z = 6 2x + y - 2z = 1
What is the value of x + y + z? |
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A. |
10 |
B. |
9 |
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C. |
11 |
D. |
8 |
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Hint |
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6. |
In 1999 Bob scored 824 points as a college basketball player by hitting 372 of his attempts. If he made 60% of his 200 3-point field goal attempts, how many 1-, 2-, and 3-point field goal baskets did he make? |
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A. |
(40, 212, 120) |
B. |
(40, 120, 212) |
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C. |
(120, 40, 212) |
D. |
(212, 40, 120) |
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Hint |
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7. |
The factors of x2 - 8x - 20 = 0 are ____. |
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A. |
(x - 2) and (x - 10) |
B. |
(x + 2) and (x - 10) |
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C. |
(x - 2) and (x + 10) |
D. |
(x + 2) and (x + 10) |
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Hint |
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8. |
Find the roots of x3 + 2x + 3 = 0. |
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A. |
 |
B. |
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C. |
-1, 2 |
D. |
1, -2 |
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Hint |
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9. |
Solve + < . |
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A. |
a < 0 or 0 < a < 5 |
B. |
a < 0 or a > 5 |
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C. |
a > 0 or 0 < a < 5 |
D. |
0 < a < 5 |
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Hint |
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10. |
In find c if A = 36°, B = 101°, and b = 42.7. |
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A. |
about 29.7 units |
B. |
about 25.3 units |
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C. |
about 40.2 units |
D. |
about 31.8 units |
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Hint |
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11. |
Evaluate tan . |
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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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12. |
Determine the linear velocity of a point rotating at an angular velocity of radians per second at a distance of 11 centimeters from the center of the rotating object. Round to the nearest tenth. |
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A. |
165 cm/s |
B. |
52.5 cm/s |
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C. |
33.4 cm/s |
D. |
518.4 cm/s |
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Hint |
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13. |
Find an equation of the line that bisects the acute angles formed by the lines with equations 3x + 4y = 8 and 5x + 12y = 16. |
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A. |
8x + 14y + 23 = 0 |
B. |
14x + 8y + 23 = 0 |
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C. |
14x + 8y - 23 = 0 |
D. |
8x + 14y - 23 = 0 |
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Hint |
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14. |
Find the direction of the resultant of a 100-newton force along the x-axis and a 150-newton force at an angle of 40° above the x-axis. |
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A. |
10.5° |
B. |
24.2° |
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C. |
12.6° |
D. |
32.6° |
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Hint |
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15. |
Write parametric equations of y = -2x + 5. |
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A. |
x = t and y = 2t - 5 |
B. |
x = t and y = 2x - 5 |
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C. |
x = t and y = -2t + 5 |
D. |
x = -2t + 5 and y = t |
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Hint |
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16. |
Find the initial horizontal velocity and vertical velocity of a stone kicked with an initial velocity of 15 feet per second at an angle of 42° with the ground. |
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A. |
about 10 ft/s, about 22 ft/s |
B. |
about 14 ft/s, about 12 ft/s |
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C. |
about 11 ft/s, about 13 ft/s |
D. |
about 11 ft/s, about 10 ft/s |
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Hint |
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17. |
Write a matrix that will translate a triangular prism 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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18. |
Solve the system of 3 equations by substitution. x = 3y + 2z 2x + 3y + 2z = 3 -x + y - z = 6 |
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A. |
(8, 4, -2) |
B. |
(1, 3, -4) |
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C. |
infinite solutions |
D. |
no solution |
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Hint |
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19. |
Given the function f(x) = , find the inverse. |
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A. |
f -1(x) = 1  |
B. |
f -1(x) = 4  |
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C. |
f -1(x) =  |
D. |
f -1(x) = x - 4 |
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Hint |
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20. |
Solve 4 sin2 x > 3 for 0 x . |
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A. |
0 x  |
B. |
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C. |
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D. |
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Hint |
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