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1. |
The compound inequality 300 < x + y < 1200 and x = 2y is shown in the graph below. List the possibilities of Bobcats and Lions produced to meet the imposed conditions. |
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A. |
All points on the segment of the line x = 2y whose endpoints are (200, 100) and (800, 400) and whose coordinates are integers. |
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B. |
All points on the segment of the line x = 2y whose endpoints are (100, 200) and (400, 800) and whose coordinates are integers. |
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C. |
All points on the segment of the line 2x = 2y whose endpoints are (200, 100) and (800, 400) and whose coordinates are integers. |
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D. |
All points on the segment of the line 2x = y whose endpoints are (100, 200) and (400, 800) and whose coordinates are integers. |
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Hint |
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2. |
In the equation x3 + x2 + 4x + 4 = 0, how many times does the graph of the related function cross the x-axis? |
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A. |
2 |
B. |
0 |
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C. |
3 |
D. |
1 |
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Hint |
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3. |
Solve 4. |
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A. |
x 0 |
B. |
x 8 |
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C. |
none of these |
D. |
0 x 8 |
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Hint |
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4. |
How many direction changes are there in the graph of a linear equation? |
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A. |
1 |
B. |
0 |
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C. |
3 |
D. |
2 |
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Hint |
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5. |
The angle of elevation of a ladder leaning against a wall is 55°. The ladder is 30 feet long. How high up the wall does it reach? |
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A. |
about 42.84 ft |
B. |
about 52.30 ft |
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C. |
about 17.21 ft |
D. |
about 24.57 ft |
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Hint |
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6. |
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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7. |
In Hero's Formula, to find the area of a triangle, s in the formula represents ______. |
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A. |
the sum of any two of the three sides of the triangle |
B. |
none of these |
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C. |
the perimeter of the triangle |
D. |
the semiperimeter of the triangle |
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Hint |
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8. |
Complete the identity sin sin (- ) - cos ___. |
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A. |
sin 0 |
B. |
1 |
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C. |
-1 |
D. |
- cos 0 |
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Hint |
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9. |
The sum of two or more vectors is called _____. |
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A. |
the resultant |
B. |
the magnitude |
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C. |
the zero vector |
D. |
a scalar |
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Hint |
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10. |
Write parametric equations of -2x + 5y = 9. |
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A. |
x = t and y = -2t + 5 |
B. |
x = t and  |
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C. |
x = t and y = 9 - 5t |
D. |
x = -t and  |
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Hint |
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11. |
Solve the system of equations algebraically. x - y + 2 = 0 x2 + y2 = 10 |
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A. |
(-1, -3), (3, 1) |
B. |
(-3, -1), (1, 3) |
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C. |
(4, 6) |
D. |
(1, 3) |
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Hint |
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12. |
The range of the function f(x) = ex - 2 is _______. |
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A. |
all real numbers < -2 |
B. |
all real numbers > -2 |
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C. |
all real numbers > 0 |
D. |
all real numbers < 0 |
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Hint |
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13. |
Sharon tossed three coins. What is the probability that she tossed exactly two tails, given that she tossed at least 1 tail? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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14. |
Use the table below. Given that a student is in the seventh grade, what is the probability that she has brown eyes? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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15. |
Write parametric equations for y = 7x - 2. |
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A. |
x = t and y = 7t - 2 |
B. |
x = and y = -2 |
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C. |
x = 7t and y = -2 |
D. |
x = t and y =  |
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Hint |
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16. |
Write the equation of a circle that passes through points (1, 2), (-1, 4) and (-3, 2) in standard form. |
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A. |
(x + 1) 2 + (y - 3) 2 = 4 |
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B. |
(x - 1) 2 + (y - 2) 2 = 4 |
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C. |
(x + 1)2 + (y - 2) 2 = 4 |
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D. |
(x - 1) 2 + (y + 3) 2 = 4 |
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Hint |
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17. |
Write the equation of the hyperbola with center at (2, 1), a focus at (2, 6) and eccentricity of |
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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. |
Write the equation in exponential form. |
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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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19. |
Find the sum of the first fourteen terms of the geometric series Round to the nearest hundredth. |
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A. |
19.64 |
B. |
2.81 |
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C. |
19.52 |
D. |
19.73 |
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Hint |
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20. |
If you roll a number cube and then flip a coin, how many outcomes are possible. |
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A. |
36 |
B. |
12 |
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C. |
8 |
D. |
6 |
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Hint |
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