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1. |
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. |
8, 23, 88 |
B. |
5, 14, 41 |
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C. |
2, 5, 14 |
D. |
-4, -13, -40 |
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Hint |
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2. |
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. |
47,500 people per year |
B. |
475 people per year |
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C. |
4750 people per year |
D. |
47.5 or about 48 people per year |
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Hint |
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3. |
Write the standard form of the equation of the line that passes through the point (-4, -2) and is perpendicular to the graph of 3x - 2y + 9 = 0. |
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A. |
3x - 2y - 14 = 0 |
B. |
3x - 2y + 14 = 0 |
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C. |
2x + 3y + 14 = 0 |
D. |
2x> + 3y - 14 = 0 |
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Hint |
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4. |
Which is the graph of f(x) = [[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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5. |
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 2x = y whose endpoints are (100, 200) and (400, 800) and whose coordinates are integers. |
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B. |
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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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 x = 2y whose endpoints are (100, 200) and (400, 800) and whose coordinates are integers. |
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Hint |
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6. |
If you solve the following system of equations by elimination, which of the following is the best choice for the first step?
2x + y - z = 3
x + y + z = 5
x - 2y + z = 2
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A. |
Both methods will work. |
B. |
Neither method will work. |
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C. |
Add the first and second equations to eliminate the z variable. |
D. |
Subtract the second and third equation to eliminate the z variable. |
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Hint |
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7. |
If the lumber mill can turn out 900 units of product each week and must produce 100 units of lumber and 400 units of plywood, graph the systems of inequalities. Let
x = units of lumber, and y = units of plywood. |
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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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8. |
The profit for each unit of lumber is $40 and the profit for each unit of plywood is $60. Write a profit function P(x, y) if x = the number of units of lumber and y = the number of units of plywood. |
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A. |
P(x, y) = 60x - 40y |
B. |
P(x, y) = 40x + 60y |
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C. |
P(x, y) = 40x - 60y |
D. |
P(x, y) = 60x + 40y |
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Hint |
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9. |
Which is an even function? |
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A. |
y = 2x - 1 |
B. |
y = -x |
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C. |
y = x |
D. |
y = x2 |
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Hint |
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10. |
Which is the graph of f(x) = x2 - 3 and its inverse? |
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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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11. |
Find f(2b2) for f(x) = x2 – 4x |
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A. |
-4b2 |
B. |
2b4 - 8b2 |
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C. |
4b4 - 8b2 |
D. |
4b2 - 8b8 |
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Hint |
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12. |
Find the first three iterates of the function g(x) = x2 + x for an initial value of x0 = 1. |
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A. |
 = 2
 = 6
 = 12 |
B. |
= 2
= 6
= 42 |
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C. |
= 0
= 2
= 4 |
D. |
= 2
= 6
= 36 |
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Hint |
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13. |
Use two ordered pairs to write the equation of a best-fit line. |
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A. |
y = 3x |
B. |
y = 3x + 72 |
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C. |
y = 5x |
D. |
y = 5x + 75 |
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Hint |
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14. |
Which is the graph of the inequality y > |2x + 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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15. |
Choose the best method to solve the system of equations 4x + y = 6
and 2x - y = 10. |
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A. |
Graphing |
B. |
Eliminate y |
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C. |
Substitution |
D. |
Eliminate x |
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Hint |
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16. |
Solve the system of three equations by elimination: 5x + 2y - 3z = 10
2x - 2y + 4z = 6
x - y + 2z = 3
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A. |
(2, -5, 3) |
B. |
no solution |
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C. |
(3, 4, 2) |
D. |
infinite solutions |
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Hint |
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17. |
Given A = [3 -2], C =  , find AC. |
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A. |
[-10 -4 -2] |
B. |
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C. |
impossible |
D. |
[14 3 13] |
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Hint |
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18. |
The image of  after Rot180 · Ry-axis is the same as which other reflection, if the vertices are A(1,1), B(2,6), C(6,4)? |
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A. |
reflection over the y-axis |
B. |
none of these |
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C. |
reflection over the line y = x |
D. |
reflection over the x-axis |
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Hint |
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19. |
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. |
unbounded |
B. |
alternate optimal solutions |
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C. |
infeasible |
D. |
2 |
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Hint |
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20. |
Which is the graph of y  ? |
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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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