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1. |
State the domain and the range of the relation {(1, 2), (-4, 2), and (3, 5)}. Then state whether the relation is a function. |
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A. |
The domain is {-4, 1, 3}, the range is {2, 5}, and the relation is a function. |
B. |
The domain is {-4, 1, 3}, the range is {2, 5}, and the relation is not a function. |
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C. |
The domain is {2, 5}, the range is {-4, 1, 3}, and the relation is a function. |
D. |
The domain is {2, 5}, the range is {-4, 1, 3}, and the relation is not a function. |
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Hint |
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2. |
The revenue for the sale of x objects is r(x) = 8x. The cost of manufacturing x objects is c(x) = 0.5x + 300. Write the profit function. |
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A. |
7.5x - 300 |
B. |
7.5x + 300 |
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C. |
8.5x - 300 |
D. |
8.5x + 300 |
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Hint |
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3. |
Find (x) if f(x) = 3x2 + 1 and g(x) = 2x + 3. |
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A. |
12x2 - 36x + 28 |
B. |
6x2 - 5 |
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C. |
12x2 + 36x + 28 |
D. |
6x2 + 5 |
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Hint |
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4. |
State the domain of (x) for f(x) = and g(x) =  |
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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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5. |
Find the x- and y-intercepts for 3x + 4y - 12 = 0. |
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A. |
(0, 4) and (3, 0) |
B. |
(-4, 0) and (0, -3) |
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C. |
(-3, 0) and (0, -4) |
D. |
(0, 3) and (4, 0) |
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Hint |
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6. |
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 = 800x - 4500 |
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C. |
y = 800x + 4500 |
D. |
y = 4500x + 800 |
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Hint |
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7. |
Which is the best prediction equation for the data? |
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A. |
y = 5x - 19,950 |
B. |
y = 20x - 19,950 |
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C. |
y = 25x - 19,950 |
D. |
y = 10x - 19,950 |
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Hint |
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8. |
Which is the graph of g(x) = |6 - |2x||? |
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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. |
Which is the graph of the inequality x > -2? |
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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. |
An automobile manufacturer produces two kinds of cars--the Bobcat x and the Lion y. The company must always produce twice as many Bobcats as Lions and at least 300 cars but no more than 1200 cars per day. Model this situation algebraically. |
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A. |
300 x + y 1200 and x = 2y |
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B. |
300 x + 2y 1200 and x = 2y |
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C. |
300 2x + y 1200 |
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D. |
300 x + 2y 1200 |
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Hint |
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11. |
Given f(x) = x-5 and g(x) = x2+ 3,find (f · g)(x). |
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A. |
x2 –2x-15 |
B. |
4x3 –2x |
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C. |
x3 +5x2 +3x-15 |
D. |
x3 –5x2 +3x -15 |
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Hint |
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12. |
Find a linear equation that can be used as a model for the data shown. |
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A. |
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B. |
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C. |
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D. |
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13. |
How can you tell if two lines are perpendicular? |
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A. |
The slopes are opposites. |
B. |
The slopes are opposite reciprocals. |
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C. |
The slopes are reciprocals. |
D. |
The slopes are the same. |
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Hint |
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14. |
What type of relationship does the scatter plot suggest? |
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A. |
a linear relationship with a positive correlation |
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B. |
no linear relationship |
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C. |
no correlation |
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D. |
a linear relationship with a negative correlation |
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Hint |
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15. |
Ilene analyzed her test scores and determined the equation of the best-fit line was y = 4.25x + 72. Predict her score for the 5th test. |
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A. |
98.5 |
B. |
88.75 |
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C. |
93.25 |
D. |
72.5 |
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Hint |
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16. |
Which of the following graphs represents the function: 
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A. |
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B. |
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D. |
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17. |
Graph the equation  |
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A. |
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B. |
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D. |
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18. |
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. |
piecewise function |
B. |
absolute value function |
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C. |
greatest integer function |
D. |
step function |
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Hint |
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19. |
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.Graph the fee schedule for different account balances. |
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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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20. |
Which is the graph of the inequality 2x + y + 3 >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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