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1. |
Jane is opening a home-based business. She determined that she will need $4500 to buy a computer and supplies to start. She expects expenses for each following month to be $800. Write an equation that models the total expense y after x months. |
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A. |
y = 4500x - 800 |
B. |
y = 4500x + 800 |
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C. |
y = 800x - 4500 |
D. |
y = 800x + 4500 |
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Hint |
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2. |
Determine two points that appear to represent the data in the scatter plot. Then find and interpret the slope. |
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A. |
Mary improved her free throw performance from year-to-year by an average of about 15% |
B. |
Mary improved her free throw performance from year-to-year by an average of about 10%. |
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C. |
Mary improved her free throw performance from year-to-year by an average of about 20% |
D. |
Mary improved her free throw performance from year-to-year by an average of about 25%. |
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Hint |
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3. |
Triangle ABC has vertices A(7, 2), B(3, -1), and C(1, 4). Find the image of the triangle after a reflection over the x-axis. |
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A. |
A'(7, -2), B'(-1, 3), C'(-1, -4) |
B. |
A'(7, -2), B'(3, 1), C'(1, -4) |
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C. |
A'(2, 7), B'(-1, 3), C'(4, 1) |
D. |
A'(-7, -2), B'(-3, 1), C'(-1, -4) |
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Hint |
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4. |
Determine the symmetry of g(x) = . |
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A. |
symmetric with respect to the origin |
B. |
symmetric with respect to only the y-axis |
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C. |
symmetric with respect to only the x-axis |
D. |
not symmetric |
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Hint |
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5. |
If you use the parent graph f(x) = x2, describe how you would graph g(x) = (x - 4)2 - 2. |
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A. |
Move the parent graph left 4 units and up 2 units. |
B. |
Move the parent graph left 4 units and down 2 units. |
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C. |
Move the parent graph right 4 units and down 2 units. |
D. |
Move the parent graph right 4 units and up 2 units. |
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Hint |
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6. |
Suppose I = 0.05(0.6G - 400), where G = the gross monthly pay and I = the amount of the investment. Determine the equation which represents the inverse process. |
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A. |
G =  |
B. |
G =  |
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C. |
G =  |
D. |
G =  |
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Hint |
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7. |
Locate the extrema for the graph of y = f(x). |
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A. |
The extrema are (-2, 1) and (4, 3). |
B. |
The extrema are (-2, 1), (1, -1) and (4, 3). |
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C. |
The extrema are (-1, 1) and (4, 3). |
D. |
The extrema are (-2, 1) and (1, -1). |
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Hint |
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8. |
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. |
3 |
B. |
2 |
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C. |
0 |
D. |
1 |
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Hint |
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9. |
Solve the equation 2x2 -x + 4 = 0 by any method. |
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A. |
1 i |
B. |
i |
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C. |
i |
D. |
i |
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Hint |
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10. |
Find the discriminant of x2 - 2x + 20 = 0. |
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A. |
76 |
B. |
-72 |
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C. |
72 |
D. |
-76 |
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Hint |
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11. |
Decompose into partial fractions. |
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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. |
Solve - x + 1 = 0. |
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A. |
1, 2 |
B. |
-1, -2 |
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C. |
1, -2 |
D. |
-1, 2 |
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Hint |
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13. |
State the domain and range of the relation. |
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A. |
The domain includes just positive real numbers. The range includes all real numbers. |
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B. |
The domain includes negative real numbers. The range includes all real numbers. |
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C. |
The domain and the range include all real numbers. |
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D. |
The domain includes all real numbers. The range includes all positive real numbers. |
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Hint |
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14. |
Find the first three iterates of the function g(x) = x2 + x for an initial value of x0 = 1. |
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A. |
= 0
= 2
= 4 |
B. |
= 2
= 6
= 12 |
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C. |
= 2
= 6
= 42 |
D. |
= 2
= 6
= 36 |
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Hint |
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15. |
Write the equation of the line that is parallel to 2x - 3y - 15 = 0 and that passes through the point (3,4). |
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A. |
2x + 3y + 6 = 0 |
B. |
2x + 5 - 3 = 0 |
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C. |
2x - 2y + 6 = 0 |
D. |
2x - 3y + 6 = 0 |
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Hint |
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16. |
A bank charges a $10 fee if the account balance is less than $200. If the balance is in between $200 and $500 there is a $5 fee. If at least $500 is in the account, there is no fee. What type of function best represents this situation? |
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A. |
step function |
B. |
piecewise function |
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C. |
absolute value function |
D. |
greatest integer function |
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Hint |
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17. |
Which is the graph of the inequality y > |2x + 1| ? |
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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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18. |
Find the inverse of . |
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A. |
does not exist |
B. |
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C. |
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D. |
0 |
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Hint |
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19. |
Find the maximum value of f(x, y) = x - 4y for the system of inequalities. 2x + y 3 2x + y -2 y 4 x < 1 |
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A. |
-3 |
B. |
16 |
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C. |
-16 |
D. |
-17 |
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Hint |
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20. |
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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