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1. |
The stated weight of the box of soap is 8.3 ounces. The company randomly chooses boxes to test to see whether their equipment is dispensing the right amount of product. If the discrepancy is more than 0.15 ounce, the production line is stopped for adjustments. Identify the type of function that models this situation. |
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A. |
absolute value function |
B. |
greatest integer function |
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C. |
step function |
D. |
a straight line |
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Hint |
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2. |
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 (100, 200) and (400, 800) and whose coordinates are integers. |
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B. |
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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C. |
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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D. |
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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Hint |
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3. |
Choose the graph of y < 2 - |x - 1|. |
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A. |
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B. |
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D. |
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4. |
In a polynomial equation, if there is one change in sign of the coefficients of the terms, ____. |
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A. |
there is one imaginary root |
B. |
none of the above is correct |
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C. |
there could be one or three positive real zeros |
D. |
there is exactly one positive real zero |
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Hint |
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5. |
Write an equation for a secant function with period 2 , phase shift , and vertical shift 1. |
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A. |
y = sec - 1 |
B. |
y = sec + 1 |
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C. |
y = sec - 1 |
D. |
y = sec + 1 |
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Hint |
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6. |
Which identity is not a Pythagorean identity? |
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A. |
1 + cot2 = csc2  |
B. |
tan2 + 1 = sec2  |
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C. |
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D. |
sin2 + cos2 = 1 |
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Hint |
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7. |
Write as the sum of unit vectors for A(4, 8, -6) and B(-2, 5, 0). |
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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. |
Find if and . |
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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. |
If M(5, -4) is the midpoint of and C has coordinates (9, -2), find the coordinates of D. |
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A. |
(7, -3) |
B. |
(-3, 7) |
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C. |
(1, -6) |
D. |
(-6, 1) |
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Hint |
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10. |
Which are the coordinates of the vertices of a parallelogram? |
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A. |
(1, 1), (-3, 0), (4, 2), (-2, 3) |
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B. |
(-1, 1), (1, 4), (6, 5), (4, 2) |
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C. |
(0, 4), (2, 9), (-1, -3), (4, 6) |
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D. |
(-3, 2), (5, 1), (4, 0), (-1, 3) |
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Hint |
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11. |
Write a sequence that has two geometric means between 7 and 448. |
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A. |
7, 26, 110, 448 |
B. |
7, 28, 112, 448 |
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C. |
7, 29, 113, 448 |
D. |
7, 30, 144, 448 |
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Hint |
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12. |
Express the series 14 + 23 + 34 + 47 + ··· + 167 using sigma notation. |
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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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13. |
If you roll a number cube and then spin a 5-colored spinner with equal sections, how many outcomes are possible? |
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A. |
180 |
B. |
11 |
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C. |
30 |
D. |
5 |
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Hint |
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14. |
Write a linear equation to represent the cost y of a long distance calling plan that charges $5.99 plus $0.07 per minute for x number of minutes. |
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A. |
y = x + 5.99 |
B. |
y = 0.07x + 5.99 |
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C. |
y = x - 5.99 |
D. |
y = 5.99x + 0.07 |
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Hint |
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15. |
Determine the slant asymptote for f(x) = . |
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A. |
y = 4 |
B. |
y = x + 3 |
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C. |
y = -x + 3 |
D. |
y = x + 4 |
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Hint |
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16. |
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 = t + 3 and y = 9t - 4 |
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C. |
x = 3t + 1 and y = 4t - 9 |
D. |
x = 1 + 3t and y = 9 – 4t |
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Hint |
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17. |
Write the equation in rectangular 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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18. |
Evaluate the expression  |
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A. |
-3 |
B. |
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C. |
3 |
D. |
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Hint |
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19. |
If n is a nonnegative integer, then = ________. |
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A. |
n + 5 |
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B. |
(n + 5) · (n + 4) · (n + 3) · (n + 2) · (n + 1) · n |
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C. |
5 |
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D. |
(n + 5) · (n + 4) · (n + 3) · (n + 2) · (n + 1) |
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Hint |
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20. |
During a particular hurricane in the Caribbean, a meteorologist determined that the odds of it hitting Jamaica are 2 to 3. What is the probability of this happening? |
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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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