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1. |
The population of Abnerville was 12,500 people in 1950. In 2000, the population was 250,000. Find the average rate of increase in the population over the 50 year period. |
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A. |
475 people per year |
B. |
4750 people per year |
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C. |
47.5 or about 48 people per year |
D. |
47,500 people per year |
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Hint |
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2. |
Find the zero of the function f(x) = -8x + 4. |
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A. |
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B. |
2 |
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C. |
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D. |
-2 |
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Hint |
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3. |
Which is a graph of f(x) = |3x| - 1? |
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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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4. |
Solve the system of equations 2x + 3y = -7 and x - y = 4 by graphing. |
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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. |
Solve the system of equations by substitution.
x = z
x - 2y + z = 6
2x + y - 2z = 1
What is the value of x + y + z? |
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A. |
11 |
B. |
8 |
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C. |
10 |
D. |
9 |
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Hint |
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6. |
Suppose a figure is animated to spin around a certain point. If the image has key points as A(2, 1), B(3, 5) and C(6, 2), and the rotation is about the origin, find the location of these points at a 270° counterclockwise rotation. |
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A. |
A'(-1, 2), B'(-5, 3), C'(-2, 6) |
B. |
A'(1, -2), B'(-5, 3), C'(-2, 6) |
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C. |
A'(1, -2), B'(5, -3), C'(2, -6) |
D. |
A'(-2, -1), B'(-3, -5),
C'(-6, -2) |
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Hint |
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7. |
If you use the parent graph f(x) = [[x]], describe how you would graph
g(x) = 3[[x]]. |
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A. |
The vertical distance between the steps for g(x) is 3 units. |
B. |
There would be no difference between f(x) = [[x]] and
g(x) = 3[[x]]. |
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C. |
None of these is correct. |
D. |
The vertical distance between the steps for g(x) is 1/3 unit. |
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Hint |
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8. |
If you use the parent graph y = x2 as a reference, describe how you would
graph y = -x2 - 3. |
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A. |
Reflect the parent graph over the y-axis and then move the graph down 3 units. |
B. |
Reflect the parent graph over the y-axis and then move the graph to the left 3 units. |
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C. |
Reflect the parent graph over the x-axis and then move the graph up 3 units. |
D. |
Reflect the parent graph over the x-axis and then move the graph down 3 units. |
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Hint |
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9. |
Locate the extrema for the graph of y = f(x). |
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A. |
The extrema are (-2, 1) and (1, -1). |
B. |
The extrema are (-2, 1) and (4, 3). |
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C. |
The extrema are (-2, 1),
(1, -1) and (4, 3). |
D. |
The extrema are (-1, 1) and (4, 3). |
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Hint |
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10. |
If y varies inversely as x and y = 12 when x = 7, find x when y = 2. |
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A. |
7 |
B. |
42 |
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C. |
5 |
D. |
10 |
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Hint |
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11. |
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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12. |
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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13. |
Choose the best method to solve the system of equations x + y = 2
and y = 3x - 4. |
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A. |
Eliminate y |
B. |
Eliminate x |
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C. |
Graphing |
D. |
Substitution |
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Hint |
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14. |
Solve this problem using matrix equations.How many liters of 0.25 solution and 0.40 solution should be combined to make 10 liters of 0.35 solution? |
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A. |
4.5 L of the 0.25 solution and 5.5 L of the 0.40 solution. |
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B. |
3.33 L of the 0.25 solution and 6.66 L of the 0.40 solution. |
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C. |
2.5 L of the 0.25 solution and 7.5 L of the 0.40 solution. |
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D. |
6.66 L of the 0.25 solution and 3.33 L of the 0.40 solution. |
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Hint |
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15. |
Name the coordinates of the vertices of the polygonal convex set. |
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A. |
(-4,-1), (-4,6), (-2,4), (4,-2) |
B. |
(-4,-1), (-4,3), (-2,4), (4,2) |
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C. |
(-4,-1), (-4,3), (-2,4), (4,-2) |
D. |
(-4,-1), (-4,3), (-2,-4), (4,-2) |
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Hint |
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16. |
Find the maximum value of f(x, y) = 2x + y - 4 for the system of inequalities:
y  -3x + 1
y x - 4
x 0
y 0 |
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A. |
alternate optimal solutions |
B. |
infeasible |
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C. |
unbounded |
D. |
2 |
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Hint |
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17. |
If you use the parent graph  as a reference, describe how you would graph  . |
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A. |
Compress horizontally by a factor of  , then move 4 units down. |
B. |
Expand horizontally by a factor of  , then move 4 units down. |
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C. |
Expand vertically by a factor of 3, then move 4 units down. |
D. |
Compress vertically by a factor of , then move 4 units down. |
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Hint |
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18. |
Determine which ordered pair is a solution of the inequality y > |3x - 4| + 3. |
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A. |
(0,0) |
B. |
(0,7) |
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C. |
(1,5) |
D. |
(3,7) |
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Hint |
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19. |
Which is the graph of y > (x - 3)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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20. |
Describe the end behavior of the function:
f(x) = x4 - x3 + x2 + x - 1 |
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A. |
f(x)  as x  , f(x) as x |
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B. |
f(x) as x , f(x) as x |
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C. |
f(x) as x , f(x) as x |
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D. |
f(x) as x , f(x) as x |
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Hint |
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