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1. |
Write an equation in slope-intercept form for the line with a slope -3 and passes through the point (4, 2). |
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A. |
y = -3x + 2 |
B. |
y = -3x + 14 |
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C. |
y = -3x + 4 |
D. |
y = -3x - 8 |
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Hint |
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2. |
Which is the graph 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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3. |
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. |
8 |
B. |
11 |
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C. |
10 |
D. |
9 |
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Hint |
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4. |
The profit for each unit of lumber is $40 and the profit for each unit of plywood is $60. Write a profit function P(x, y) if x = the number of units of lumber and y = the number of units of plywood. |
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A. |
P(x, y) = 60x + 40y |
B. |
P(x, y) = 40x + 60y |
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C. |
P(x, y) = 60x - 40y |
D. |
P(x, y) = 40x - 60y |
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Hint |
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5. |
Determine the symmetry of f(x) = x7. |
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A. |
symmetric with respect to the origin |
B. |
symmetric with respect to only the x-axis |
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C. |
symmetric with respect to only the y-axis |
D. |
not symmetric |
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Hint |
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6. |
Determine the symmetry of the graph of xy = -4. |
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A. |
none is correct |
B. |
the line y = x and the line y = -x |
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C. |
the line y = -x |
D. |
the line y = x |
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Hint |
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7. |
If you use the parent graph f(x) = [[x]], describe how you would graph g(x) = 3[[x]]. |
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A. |
The vertical distance between the steps for g(x) is 1/3 unit. |
B. |
There would be no difference between f(x) = [[x]] and g(x) = 3[[x]]. |
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C. |
None of these is correct. |
D. |
The vertical distance between the steps for g(x) is 3 units. |
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Hint |
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8. |
Which is the graph of f(x) = |x| - 4 and its inverse? |
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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. |
Graph y = . |
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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. |
Find the number of positive real zeros for f(x) = 3x5 + 2x3 + x2 + 7x - 1 = 0. |
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A. |
4 or 2 or 0 positive real zeros |
B. |
no positive real zeros |
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C. |
exactly 1 positive real zero |
D. |
4 or 2 positive real zeros |
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Hint |
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11. |
Write an equation in slope-intercept form with a slope of that passes through the point (-3, -5). |
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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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12. |
Determine two points that appear to represent the data in the scatter plot. Then find and interpret the slope. |
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A. |
Paul's test scores are neither increasing nor decreasing. |
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B. |
Paul's test scores improve an average of 15 points with each test. |
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C. |
Paul's test scores improve an average of 3 points with each test. |
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D. |
Paul's test scores improve an average of 5 points with each test. |
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Hint |
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13. |
Solve the system of three equations by elimination: 5x + 2y - 3z = 10 2x - 2y + 4z = 6 x - y + 2z = 3
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A. |
(3, 4, 2) |
B. |
(2, -5, 3) |
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C. |
infinite solutions |
D. |
no solution |
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Hint |
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14. |
Find the value of the determinant . |
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A. |
-25 |
B. |
-29 |
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C. |
-43 |
D. |
-3 |
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Hint |
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15. |
Find the maximum value of f(x, y) = 2x + y - 4 for the system of inequalities: y -3x + 1 y x - 4 x 0 y 0 |
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A. |
2 |
B. |
infeasible |
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C. |
alternate optimal solutions |
D. |
unbounded |
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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 you use the parent graph as a reference, describe how you would graph . |
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A. |
Compress vertically by a factor of , then move 4 units down. |
B. |
Compress horizontally by a factor of , then move 4 units down. |
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C. |
Expand vertically by a factor of 3, then move 4 units down. |
D. |
Expand horizontally by a factor of , then move 4 units down. |
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Hint |
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18. |
Given the function f(x) = x2 - 8x + 16, find the inverse. |
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A. |
f -1 = 4  |
B. |
f -1 = x - 4 |
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C. |
f -1 = x - 2 |
D. |
f -1 = (x - 4)2 |
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Hint |
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19. |
Determine the equation of the vertical asymptote for the function: f(x) = + 2. |
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A. |
y = 0 |
B. |
x = 0 |
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C. |
x = -2 |
D. |
x = 2 |
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Hint |
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20. |
Determine the slant asymptote for f(x) = . |
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A. |
y = 4 |
B. |
y = x + 4 |
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C. |
y = -x + 3 |
D. |
y = x + 3 |
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Hint |
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