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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 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 {-4, 1, 3},
the range is {2, 5}, 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. |
Evaluate the function f(x) = 2x3 - 6x + 1 for f(-2). |
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A. |
5 |
B. |
37 |
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C. |
-3 |
D. |
-35 |
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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. |
Find the x- and y-intercepts for 3x + 4y - 12 = 0. |
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A. |
(0, 3) and (4, 0) |
B. |
(-4, 0) and (0, -3) |
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C. |
(0, 4) and (3, 0) |
D. |
(-3, 0) and (0, -4) |
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Hint |
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5. |
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 + 14 |
B. |
y = -3x + 4 |
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C. |
y = -3x - 8 |
D. |
y = -3x + 2 |
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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 = 4500x - 800 |
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C. |
y = 800x - 4500 |
D. |
y = 800x + 4500 |
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Hint |
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7. |
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 25%. |
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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 10%. |
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Hint |
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8. |
The math scores, x, and chemistry scores, y, for six students are given in the table. Use a graphing calculator to find the Pearson product-moment correlation. |
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A. |
about 0.65 |
B. |
about 0.71 |
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C. |
about 0.74 |
D. |
about 0.68 |
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Hint |
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9. |
Which is the graph of g(x) = |6 - |2x||? |
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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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10. |
Which is the graph of the inequality x > -2? |
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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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11. |
Which is the graph of the inequality x + 2y - 2  0? |
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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. |
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 2x + y 1200 |
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B. |
300 x + y 1200 and x = 2y |
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C. |
300 x + 2y 1200 and x = 2y |
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D. |
300 x + 2y 1200 |
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Hint |
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13. |
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 (200, 100) and (800, 400) and whose coordinates are integers. |
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B. |
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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C. |
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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D. |
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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Hint |
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14. |
Find f(2b2) for f(x) = x2 – 4x |
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A. |
2b4 - 8b2 |
B. |
4b2 - 8b8 |
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C. |
-4b2 |
D. |
4b4 - 8b2 |
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Hint |
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15. |
Graph the equation 3x + 2y = 0 |
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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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16. |
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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Hint |
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17. |
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 = 5.99x + 0.07 |
D. |
y = x - 5.99 |
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Hint |
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18. |
Determine whether 3x - 5y + 1 = 0 and 6x - 10y + 2 = 0 are parallel, coinciding, or neither. |
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A. |
parallel |
B. |
coinciding |
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C. |
all are correct |
D. |
perpendicular |
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Hint |
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19. |
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 + 5 - 3 = 0 |
B. |
2x + 3y + 6 = 0 |
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C. |
2x - 2y + 6 = 0 |
D. |
2x - 3y + 6 = 0 |
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Hint |
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20. |
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. |
14x + 4y + 19 = 0 |
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C. |
14x + 4y - 19 = 0 |
D. |
2x + 7y - 23 = 0 |
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Hint |
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