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1. |
State the domain and range of the relation. |
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A. |
All real numbers are included in the domain, and 3 is included in the range. |
B. |
3 is included in the domain, and 3 is included in the range. |
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C. |
3 is included in the domain, and all real numbers are included in the range. |
D. |
All real numbers are included in the domain and the range. |
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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. |
8, 23, 88 |
B. |
2, 5, 14 |
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C. |
5, 14, 41 |
D. |
-4, -13, -40 |
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Hint |
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3. |
Graph the equation y =  |
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B. |
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Hint |
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4. |
Find a linear equation that can model the data shown in the graph. |
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A. |
3x - 2y + 6 = 0 |
B. |
2x + 5y - 3 = 0 |
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C. |
2x + 3y + 6 = 0 |
D. |
2x -3y + 6 = 0 |
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Hint |
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5. |
Which is the best prediction equation for the data? |
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A. |
y = 5x - 19,950 |
B. |
y = 20x - 19,950 |
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C. |
y = 25x - 19,950 |
D. |
y = 10x - 19,950 |
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Hint |
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6. |
Which is the graph of the inequality x > -2? |
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A. |
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B. |
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Hint |
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7. |
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 2x = 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 x = 2y whose endpoints are (100, 200) and (400, 800) and whose coordinates are integers. |
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D. |
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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Hint |
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8. |
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. |
Subtract the second and third equation to eliminate the z variable. |
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C. |
Neither method will work. |
D. |
Add the first and second equations to eliminate the z variable. |
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Hint |
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9. |
Suppose the triangle ABC with vertices A(1, 2), B(4, 3) and C(-1, 5) is translated 2 units right and 3 units down. Use the translation matrix to find the vertices for A'B'C', the translated image of the triangle. |
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Hint |
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10. |
Find f(2b2) for f(x) = x2 – 4x |
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A. |
4b2 - 8b8 |
B. |
4b4 - 8b2 |
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C. |
2b4 - 8b2 |
D. |
-4b2 |
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Hint |
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11. |
Given f(x) = x-5 and g(x) = x2+ 3,find (f · g)(x). |
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A. |
x2 –2x-15 |
B. |
x3 –5x2 +3x -15 |
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C. |
4x3 –2x |
D. |
x3 +5x2 +3x-15 |
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Hint |
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12. |
Find the domain of f(g(x)) given f(x) =  , and g(x) = x-1 |
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A. |
x 1 |
B. |
x1,-1 |
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C. |
x0, 1, -1 |
D. |
all real numbers |
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Hint |
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13. |
Find a linear equation that can be used as a model for the data shown. |
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14. |
Determine the equation of the perpendicular bisector of the line segment with endpoints (1,5) and (-6, 3). |
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A. |
14x + 4y - 19 = 0 |
B. |
14x + 4y + 19 = 0 |
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C. |
2x + 7y - 23 = 0 |
D. |
2x + 7y + 23 = 0 |
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Hint |
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15. |
Graph the data on a scatter plot. |
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16. |
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 15 points with each test. |
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B. |
Paul's test scores are neither increasing nor decreasing. |
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C. |
Paul's test scores improve an average of 3 points with each test. |
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D. |
Paul's test scores improve an average of 5 points with each test. |
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Hint |
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17. |
Which is the graph of the inequality 2x + y + 3 >0? |
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B. |
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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 line y = x |
B. |
none of these |
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C. |
reflection over the x-axis |
D. |
reflection over the y-axis |
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Hint |
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19. |
Set up a matrix equation for this chemistry problem. 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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B. |
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Hint |
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20. |
Name the coordinates of the vertices of the polygonal convex set. |
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A. |
(-4,-1), (-4,3), (-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), (-4,6), (-2,4), (4,-2) |
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Hint |
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