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1. |
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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2. |
Find the first three iterates, x1, x2, and x3, of the function
f(x) = 3x - 1 for an initial value x0=1. |
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A. |
5, 14, 41 |
B. |
-4, -13, -40 |
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C. |
2, 5, 14 |
D. |
8, 23, 88 |
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Hint |
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3. |
Find the x- and y-intercepts for 3x + 4y - 12 = 0. |
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A. |
(0, 4) and (3, 0) |
B. |
(-3, 0) and (0, -4) |
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C. |
(-4, 0) and (0, -3) |
D. |
(0, 3) and (4, 0) |
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Hint |
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4. |
Rewrite the equation 3x + y = 7 in slope-intercept form. |
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A. |
y = 7x + 3 |
B. |
y = -3x - 7 |
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C. |
y = -3x + 7 |
D. |
y = 3x - 7 |
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Hint |
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5. |
Write an equation in slope-intercept form for the line with a slope
of  and a y-intercept of -3. |
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A. |
y = x + 3 |
B. |
y =  x + 3 |
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C. |
y = x - 3 |
D. |
y = x - 3 |
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Hint |
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6. |
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 + 4 |
B. |
y = -3x + 2 |
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C. |
y = -3x - 8 |
D. |
y = -3x + 14 |
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Hint |
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7. |
Use a graphing calculator to find the equation of the regression line. |
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A. |
y = 2x - 25 |
B. |
y = x - 576 |
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C. |
y = 12x - 23,947 |
D. |
y = 23x - 21,000 |
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Hint |
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8. |
The stated weight of the box of soap is 8.3 ounces. The company randomly chooses boxes to test to see whether their equipment is dispensing the right amount of product. If the discrepancy is more than 0.15 ounce, the production line is stopped for adjustments. Identify the type of function that models this situation. |
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A. |
greatest integer function |
B. |
a straight line |
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C. |
absolute value function |
D. |
step function |
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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 y  |x - 3|? |
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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. |
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 + 2y 1200 and x = 2y |
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C. |
300 x + y 1200 and x = 2y |
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D. |
300 x + 2y 1200 |
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Hint |
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12. |
State the domain and range of the relation. |
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A. |
The domain and the range include 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 includes all real numbers. The range includes all positive real numbers. |
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D. |
The domain includes just positive real numbers. The range includes all real numbers. |
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Hint |
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13. |
Find f(2b2) for f(x) = x2 – 4x |
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A. |
4b4 - 8b2 |
B. |
4b2 - 8b8 |
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C. |
2b4 - 8b2 |
D. |
-4b2 |
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Hint |
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14. |
Which equation has an undefined slope? |
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A. |
y = 4 |
B. |
x = 4 |
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C. |
y = 4x + 2 |
D. |
y = 4x |
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Hint |
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15. |
Find the zero of f(x) = 2x - 3, then graph the function. |
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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. |
Which function does not have a zero? |
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A. |
f(x) = x - 5 |
B. |
f(x) = -5 |
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C. |
f(x) = –5x +3 |
D. |
f(x) = 3x + 5 |
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Hint |
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17. |
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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18. |
Use two ordered pairs to write the equation of a best-fit line. |
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A. |
y = 3x + 72 |
B. |
y = 5x |
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C. |
y = 5x + 75 |
D. |
y = 3x |
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Hint |
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19. |
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. |
88.75 |
B. |
72.5 |
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C. |
93.25 |
D. |
98.5 |
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Hint |
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20. |
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. |
greatest integer function |
B. |
absolute value function |
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C. |
step function |
D. |
piecewise function |
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Hint |
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