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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 {2, 5}, the range is {-4, 1, 3}, and the relation is not a function. |
B. |
The domain is {-4, 1, 3}, the range is {2, 5}, and the relation is 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 {-4, 1, 3}, the range is {2, 5}, and the relation is not a function. |
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Hint |
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2. |
Given f(x) = 3x + 2x - 2 and g(x) = 4x + 1, find  |
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A. |
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B. |
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C. |
3x2 + 6x - 1 |
D. |
3x2 - 2x - 3 |
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Hint |
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3. |
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. |
8.5x + 300 |
B. |
8.5x - 300 |
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C. |
7.5x + 300 |
D. |
7.5x - 300 |
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Hint |
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4. |
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 = 800x - 4500 |
B. |
y = 4500x + 800 |
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C. |
y = 800x + 4500 |
D. |
y = 4500x - 800 |
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Hint |
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5. |
Write the standard form of the equation of the line that passes through the point (-1, 3) and is parallel to the graph of 2x - 7y + 1 = 0. |
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A. |
2x + 7y + 23 = 0 |
B. |
2x - 7y - 23 = 0 |
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C. |
2x + 7y - 23 = 0 |
D. |
2x - 7y + 23 = 0 |
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Hint |
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6. |
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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7. |
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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8. |
State the domain and range of the relation. Then state whether the relation is a function.{(2,-1), (-2,4), (2,5), (3,6)} |
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A. |
Domain {-1,4,5,6}Range {-2,2,3} The relation is not a function. |
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B. |
Domain {-1,4,5,6}Range {-2,2,3}The relation is a function. |
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C. |
Domain {-2,2,3} Range {-1,4,5,6} The relation is a function. |
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D. |
Domain {-2,2,3} Range {-1,4,5,6}The relation is not a function. |
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Hint |
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9. |
Which equation has an undefined slope? |
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A. |
y = 4x |
B. |
y = 4x + 2 |
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C. |
y = 4 |
D. |
x = 4 |
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Hint |
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10. |
Which function does not have a zero? |
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A. |
f(x) = –5x +3 |
B. |
f(x) = -5 |
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C. |
f(x) = x - 5 |
D. |
f(x) = 3x + 5 |
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Hint |
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11. |
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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D. |
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Hint |
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12. |
Determine the equation of the perpendicular bisector of the line segment with endpoints (1,5) and (-6, 3). |
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A. |
2x + 7y + 23 = 0 |
B. |
2x + 7y - 23 = 0 |
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C. |
14x + 4y + 19 = 0 |
D. |
14x + 4y - 19 = 0 |
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Hint |
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13. |
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. |
93.25 |
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C. |
72.5 |
D. |
88.75 |
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Hint |
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14. |
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 improve an average of 5 points with each test. |
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B. |
Paul's test scores improve an average of 3 points with each test. |
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C. |
Paul's test scores are neither increasing nor decreasing. |
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D. |
Paul's test scores improve an average of 15 points with each test. |
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Hint |
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15. |
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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16. |
Which is the graph of the compound inequality 0 x + y 4? |
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A. |
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B. |
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D. |
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Hint |
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