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1. |
If f(x) = [2x - 1], find f(5.4). |
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A. |
9 |
B. |
8 |
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C. |
10 |
D. |
9.8 |
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Hint |
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2. |
Identify h(x) = [x] + 4. |
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A. |
direct variation function |
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B. |
constant function |
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C. |
absolute value function |
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D. |
greatest integer function |
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Hint |
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3. |
What is true about the system  and  |
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A. |
The system is consistent and independent. |
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B. |
The system is consistent and dependent. |
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C. |
The system has infinitely many solutions. |
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D. |
The system is inconsistent. |
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Hint |
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4. |
What is the first step in solving the system of equations using the elimination method? 
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A. |
Multiply the second equation by 2. |
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B. |
Solve the first equation for x. |
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C. |
Subtract the second equation from the first equation. |
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D. |
Add the equations. |
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Hint |
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5. |
Find 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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6. |
If  , find I so that  |
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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. |
Solve  using inverse matrices. |
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A. |
(4, 4) |
B. |
(4, -4) |
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C. |
(-4, 4) |
D. |
(-4, 0) |
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Hint |
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8. |
Find an equation of the line that passes through (0, -6) and (5, 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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9. |
Solve  |
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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. |
Solve the equation | 3a + 2 | - 2 = 4a + 1. |
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A. |
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B. |
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C. |
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D. |
-1 |
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Hint |
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11. |
Solve x + 7 < 5 or x + 6 > 9. |
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A. |
{x | -2 > x > 3} |
B. |
{x | x < -2 or x > 3} |
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C. |
{x | -2 < x < 3} |
D. |
{x | x > -2 or x < 3} |
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Hint |
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12. |
Which graph shows the inequality 5x – 2y  8? |
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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. |
Graph 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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14. |
Which point is not in the solution set of  |
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A. |
(14, –3) |
B. |
(1, –1) |
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C. |
(9, –1) |
D. |
(6, 1) |
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Hint |
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15. |
At a firm, there are three workers that are supposed to work a combined 110 hours per week. Worker 1 is supposed to work 5 hours more than worker 2, and worker 2 is supposed to work 15 hours more than worker 3. How long should each one work? |
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A. |
worker 1: 45worker 2: 40worker 3: 25 |
B. |
worker 1: 42.5worker 2: 37.5worker 3: 30 |
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C. |
worker 1: 45worker 2: 35worker 3: 30 |
D. |
worker 1: 40worker 2: 45worker 3: 25 |
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Hint |
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16. |
Given that   and  use the fact that  to find AB + AC. |
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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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17. |
Which of the following is the correct rotation matrix for a rotation of 180°counterclockwise about the origin? |
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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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18. |
Find the coordinates of the vertices of the image of a triangle FGH with F(-4, 2), G(-3, -3), H(3,4) after it is rotated 270° counterclockwise about the origin. |
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A. |
F'(2, 4), G'(-3, 3),H'(4, -3) |
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B. |
F'(2, -4), G'(-3, -3),H'(4, 3) |
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C. |
F'(-2, 4), G'(3, 3),H'(-4, -3) |
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D. |
F'(4, 2), G'(3, -3),H'(-3, 4) |
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Hint |
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19. |
Which method of finding solutions would work best to find the solutions to the system 12.4x – 3.66y = 12.19, 3.9x + 6.17y = 19.28, and why? |
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A. |
elimination, because Cramer's Rule doesn't apply to this problem |
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B. |
elimination, because 6.17 is a factor of 3.66 |
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C. |
Cramer's Rule, because none of the other methods will correctly solve the problem |
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D. |
Cramer's Rule, because there are fewer calculations. |
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Hint |
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20. |
Given , find f(2z). |
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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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