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1. |
Identify h(x) = [x] + 4. |
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A. |
direct variation function |
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B. |
absolute value function |
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C. |
constant function |
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D. |
greatest integer function |
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Hint |
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2. |
Find the product of -15i and its conjugate. |
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A. |
15i |
B. |
225 |
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C. |
225i |
D. |
-225 |
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Hint |
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3. |
What is the distance between points with coordinates (1.32, 0.27) and (1.07, -0.33). |
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A. |
0.81 unit |
B. |
1.02 units |
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C. |
0.65 unit |
D. |
0.39 unit |
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Hint |
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4. |
The graph of the equation 4y2 - 2x - 4y -7 = 0 is a(n) _____. |
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A. |
hyperbola |
B. |
parabola |
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C. |
ellipse |
D. |
line |
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Hint |
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5. |
Solve x2 - 4x + 1 = 0 by completing the square. |
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A. |
1 |
B. |
2 |
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C. |
 |
D. |
 |
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Hint |
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6. |
Suppose a ball is thrown straight up at a speed of 50 feet per second. The time in seconds that it takes for the ball to hit the ground can be found by solving the equation 5 + 50t - 16t2 = 0. Approximately how long does it take for the ball to hit the ground? |
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A. |
0.1 s |
B. |
-0.1 s |
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C. |
3.2 s |
D. |
4.8 s |
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Hint |
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7. |
Find 4[p(x)] if p(x) = x2 - 3x + 2. |
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A. |
x2 - 12x + 2 |
B. |
4x2 - 12x + 8 |
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C. |
16x2 - 12x + 2 |
D. |
4x2 - 3x + 2 |
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Hint |
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8. |
Approximate the real zero of g(x) = x5 - x2 - 1 to the nearest tenth. |
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A. |
1.1 |
B. |
1.2 |
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C. |
0.9 |
D. |
1.0 |
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Hint |
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9. |
In the equation  do you have to square both sides? |
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A. |
cannot be determined |
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B. |
yes, in order to isolate x |
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C. |
no |
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D. |
yes, in order to simplify. |
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Hint |
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10. |
Solve by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located. |
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A. |
between 1 and 0, and 1 and 2 |
B. |
1, 2 |
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C. |
between 0 and 1, and 1 and 2 |
D. |
between 0 and 1, and 2 and 3 |
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Hint |
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11. |
Solve -x2 + 3x + 5 = 0 by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located. |
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A. |
between 1 and 0, and between 3 and 4 |
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B. |
between 2 and1, and between 3 and 4 |
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C. |
between 2 and -1, and between 4 and 5 |
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D. |
between 1 and 0, and between 4 and 5 |
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Hint |
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12. |
Solve x2 + 14x + 49 = 0 by using the quadratic formula. |
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A. |
3, 8 |
B. |
6, 16 |
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C. |
7, 18 |
D. |
3, 8 |
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Hint |
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13. |
What is the height of a computer whose base is x2 + 4x + 4 and whose volume is x3 + 3x2 4? |
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A. |
x + 2 |
B. |
x 1 |
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C. |
(x 1)( x + 2) |
D. |
x + 1 |
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Hint |
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14. |
How many possible positive real zeros are there for the polynomial  ? |
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A. |
1 |
B. |
5 |
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C. |
2 |
D. |
3 |
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Hint |
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15. |
Let f and g be polynomials of degree 3. Is it true that  ? |
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A. |
No, never. |
B. |
Yes, always. |
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C. |
No, it is only true for polynomials of degree 1. |
D. |
It is true in some cases. |
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Hint |
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16. |
The amount of money spent at a grocery store can be expressed as a square root function,  , where x is the number of groceries, and f(x) is the amount of money spent. If Eugene buys 12 items, how much money should he expect to spend? |
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A. |
$13 |
B. |
$9.92 |
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C. |
$20 |
D. |
$169 |
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Hint |
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17. |
What is the equation of a parabola that is translated 3 units left and 2 units up from the parabola  ? |
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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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18. |
Solve the system   . |
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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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19. |
In a certain job, the function  represents the amount of hours worked x in relation to the amount of stress f(x) felt by the workers. For what values of x does this graph have meaning? |
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A. |
for  and x > 40, because stress is a non-negative quantity |
B. |
for all values of x |
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C. |
for  |
D. |
for and x < 40 |
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Hint |
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20. |
Which function does not have a value of 1 when x = 1? |
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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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