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1. |
Solve the system of equations by elimination.
2x + y - z = 3
x + y + z = 5
x - 2y + z = 2
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A. |
(2, 1, 2) |
B. |
(1, 1, 2) |
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C. |
(1, 2, 1) |
D. |
(2, 2, 1) |
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Hint |
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2. |
Determine the slant asymptote for f(x) =  . |
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A. |
y = 2x + 3 |
B. |
y = 3x + 2 |
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C. |
y = 3x - 2 |
D. |
y = -2x +3 |
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Hint |
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3. |
Determine between which consecutive integers the real zeros of
f(x) = x4 - 4x2 + x - 3 are located. |
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A. |
between -2 and -1 and between 2 and 3 |
B. |
between -3 and -2 and between 5 and 6 |
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C. |
between -4 and -3 and between 3 and 4 |
D. |
between -3 and -2 and between 2 and 3 |
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Hint |
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4. |
Determine the number of possible solutions for  , given A = 50°,
a = 38, and c = 49. |
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A. |
three |
B. |
none |
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C. |
one |
D. |
two |
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Hint |
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5. |
Find the area of if a = 5, b = 8, and c = 10. |
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A. |
about 39.6 square units |
B. |
about 15.2 square units |
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C. |
about 19.8 square units |
D. |
about 7.6 square units |
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Hint |
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6. |
Solve the equation cos 2x = sin x for 0° x < 360°. |
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A. |
90°, 150°, 270° |
B. |
30°, 90°, 150° |
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C. |
30°, 150°, 270° |
D. |
30°, 210°, 270° |
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Hint |
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7. |
Consider the equation -x + 2y - 5 = 0. Find the length of the normal and the angle it makes with the positive x-axis. |
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A. |
 ; 243° |
B. |
; 63° |
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C. |
; 297° |
D. |
; 117° |
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Hint |
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8. |
Graph  |
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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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9. |
Write an equation in slope-intercept form of the line whose parametric equations are x = -6 + 3t and y = 5 - 4t. |
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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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10. |
Write the equation of the circle that is tangent to the line with equation
x + y = –3 and has its center at (4, –1). |
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A. |
 |
B. |
(x + 4)2 + (y – 1)2 = 18 |
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C. |
(x – 4)2 + (y + 1)2 = 18 |
D. |
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Hint |
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11. |
The graph of the rectangular hyperbola xy = -5 lies in _____. |
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A. |
Quadrants II and IV |
B. |
Quadrants II and III |
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C. |
Quadrants III and IV |
D. |
Quadrants I and III |
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Hint |
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12. |
Find parametric equations for the equation y = x2 + 5. |
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A. |
x = t2 + 5, y = t,  |
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B. |
x = t, y = t2 + 5,  |
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C. |
x = t, y = t2 + 5, -2 < t < 2 |
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D. |
x = t, y = t2 + 5, |
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Hint |
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13. |
Find the angle  of rotation for the graph of the equation
x2 - xy - y2 - 2x - 2y + 6 = 0. Round to the nearest degree. |
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A. |
-27° |
B. |
-13° |
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C. |
52° |
D. |
30° |
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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. |
y = 5 |
B. |
y = -6 |
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C. |
x = 5 |
D. |
x = -6 |
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Hint |
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15. |
What type of relationship does the scatter plot suggest? |
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A. |
no linear relationship |
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B. |
a linear relationship with a positive correlation |
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C. |
a linear relationship with a negative correlation |
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D. |
no correlation |
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Hint |
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16. |
What is the complex conjugate of a - bi, if a and b are real numbers? |
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A. |
a - bi |
B. |
a + bi |
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C. |
a2 + b2 - abi |
D. |
 |
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Hint |
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17. |
Find the distance between points (5, 4) and (-2, -3). Round to the nearest tenth. |
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A. |
14 |
B. |
3.2 |
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C. |
7.1 |
D. |
9.9 |
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Hint |
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18. |
Solve 53x = 8x - 2 by using natural logarithms. |
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A. |
1.5129 |
B. |
-1.5129 |
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C. |
0.8985 |
D. |
-0.6021 |
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Hint |
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19. |
What interest rate is required for an investment with continuously compounded interest to double in 5 years? |
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A. |
3.47% |
B. |
13.86% |
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C. |
3.86% |
D. |
6.93% |
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Hint |
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20. |
Find the sum of the first seven terms of the geometric series  Round to the nearest hundredth. |
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A. |
17.33 |
B. |
18 |
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C. |
3.24 |
D. |
11.56 |
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Hint |
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