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1. |
Find the zero of the function f(x) = -8x + 4. |
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A. |
-2 |
B. |
2 |
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C. |
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D. |
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Hint |
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2. |
Which is the graph of g(x) = |6 - |2x||? |
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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. |
Which is the graph of the inequality y |x - 3|? |
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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. |
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 = 2y whose endpoints are (200, 100) and (800, 400) and whose coordinates are integers. |
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B. |
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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C. |
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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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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5. |
If you use the elimination method to solve the system of equations 3x - 4y = 9 and 2x + 3y = 7, which of the following would be the best method?
Method I: Multiply both sides of the first equation by 2, and multiply both sides of the second equation by 3. Then add the two equations.
Method II: Multiply both sides of the first equation by 3, and multiply both sides of the second equation by 4. Then add the two equations.
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A. |
Method I |
B. |
Method II |
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C. |
Neither Method I nor Method II is correct. |
D. |
Both Method I and Method II are correct. |
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Hint |
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6. |
Find the values of x and y for which the matrix equation is true. |
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A. |
x = -3, y = -1 |
B. |
x = -1, y = -3 |
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C. |
x = -3, y = 1 |
D. |
x = 1, y = -3 |
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Hint |
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7. |
A triangle ABC has vertices A(3, -1), B(4, -2), and C(7, 1). Find the coordinates of the dilated triangle for a scale factor of 3. |
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A. |
A'(21, 3), B'(12, -6), C'(-9, -3) |
B. |
A'(9, -3), B'(12, -6), C'(21, 3) |
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C. |
A,/i>'(12, -6), B'(21, 3), C'(-9, -3) |
D. |
A'(-3, 9), B'(-6, 12), C'(3, 21) |
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Hint |
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8. |
Find the inverse of . |
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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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9. |
Which of the following is a graph of the inequalities l + g > 100 and l > 70? |
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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. |
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) = 40x + 60y |
B. |
P(x, y) = 60x + 40y |
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C. |
P(x, y) = 60x - 40y |
D. |
P(x, y) = 40x - 60y |
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Hint |
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11. |
Which function does not have a zero? |
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A. |
f(x) = x - 5 |
B. |
f(x) = –5x +3 |
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C. |
f(x) = 3x + 5 |
D. |
f(x) = -5 |
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Hint |
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12. |
Use two ordered pairs to write the equation of a best-fit line. |
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A. |
y = 5x + 75 |
B. |
y = 3x + 72 |
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C. |
y = 5x |
D. |
y = 3x |
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Hint |
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13. |
Graph the data on a scatter plot. |
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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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14. |
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. |
step function |
B. |
greatest integer function |
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C. |
piecewise function |
D. |
absolute value function |
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Hint |
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15. |
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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16. |
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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17. |
Given A = [3 -2], C = , find AC. |
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A. |
[14 3 13] |
B. |
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C. |
impossible |
D. |
[-10 -4 -2] |
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Hint |
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18. |
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A. |
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B. |
impossible |
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C. |
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D. |
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Hint |
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19. |
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), (-4,6), (-2,4), (4,-2) |
D. |
(-4,-1), (-4,3), (-2,4), (4,-2) |
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Hint |
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20. |
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. |
2 |
B. |
alternate optimal solutions |
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C. |
infeasible |
D. |
unbounded |
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Hint |
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