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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 {-4, 1, 3}, the range is {2, 5}, and the relation is a function. |
B. |
The domain is {2, 5}, the range is {-4, 1, 3}, and the relation is not a function. |
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C. |
The domain is {2, 5}, the range is {-4, 1, 3}, and the relation is a function. |
D. |
The domain is {-4, 1, 3}, the range is {2, 5}, and the relation is not a function. |
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Hint |
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2. |
State the domain of (x) for f(x) = and g(x) =  |
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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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3. |
Use a graphing calculator to find the equation of the regression line. |
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A. |
y = 23x - 21,000 |
B. |
y = x - 576 |
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C. |
y = 2x - 25 |
D. |
y = 12x - 23,947 |
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Hint |
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4. |
Three planes can |
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A. |
have no points in common. |
B. |
All of the choices are true. |
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C. |
intersect at one point. |
D. |
intersect in a line. |
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Hint |
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5. |
Find the values of x and y for which the matrix equation is true. |
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A. |
x = -1, y = -3 |
B. |
x = -3, y = -1 |
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C. |
x = -3, y = 1 |
D. |
x = 1, y = -3 |
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Hint |
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6. |
Which of the following shows the system of equations using a matrix equation? |
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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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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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Hint |
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8. |
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
= 36 |
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C. |
= 2
= 6
= 42 |
D. |
= 0
= 2
= 4 |
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Hint |
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9. |
Graph the equation 3x + 2y = 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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10. |
Write an equation in slope-intercept form with a slope of that passes through the point (-3, -5). |
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A. |
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B. |
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D. |
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Hint |
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11. |
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 - 3y + 6 = 0 |
B. |
2x + 3y + 6 = 0 |
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C. |
2x - 2y + 6 = 0 |
D. |
2x + 5 - 3 = 0 |
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Hint |
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12. |
Write the equation of the line perpendicular to 5y + 3x - 10 = 0 and that passes through the point (3,1). |
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A. |
5x - 3y - 4 = 0 |
B. |
3x + 5y - 50 = 0 |
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C. |
5x - 3y - 12 = 0 |
D. |
5x + 3y - 12 = 0 |
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Hint |
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13. |
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 3 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 15 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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14. |
If you are solving this system of equations by elimination, which of the following is the best choice for the first step? 2x + 3y - z = 4 -x + y + 2z = 3 3x + y + z = 1 |
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A. |
Method II |
B. |
Method I |
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C. |
both methods are correct |
D. |
neither method is correct. |
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Hint |
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15. |
Find the values of x and y for which the matrix equation is true. |
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A. |
x = 4, y = 2 |
B. |
x = 2, y = 3 |
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C. |
x = 3, y = 2 |
D. |
x = 1, y = 0 |
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Hint |
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16. |
 |
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A. |
impossible |
B. |
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C. |
[4 5 6] |
D. |
[-1 1 18] |
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Hint |
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17. |
Given A = [3 -2], C = , find AC. |
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A. |
impossible |
B. |
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C. |
[14 3 13] |
D. |
[-10 -4 -2] |
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Hint |
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18. |
Find the inverse of . |
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A. |
0 |
B. |
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C. |
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D. |
does not exist |
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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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Hint |
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20. |
Solve the system of inequalities by graphing. x + y 4 2x - y < 4 y 0 |
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A. |
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B. |
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D. |
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Hint |
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