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1. |
Simplify 3(2a + b) + 6(a - 2b). |
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A. |
12a + 15b |
B. |
12a + b |
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C. |
12a + 9b |
D. |
12a - 9b |
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Hint |
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2. |
Determine the slope of the line that passes through the points at
(1, 5) and (-4, 0). |
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A. |
0 |
B. |
1 |
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C. |
-1 |
D. |
 |
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Hint |
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3. |
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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4. |
Choose the graph that shows the solution to the system of inequalities  and  |
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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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5. |
Simplify  |
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A. |
x2 + 7 |
B. |
x - 4 |
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C. |
x + 7 |
D. |
x + 4 |
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Hint |
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6. |
Write an equation for the graph shown below. |
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A. |
y = (x + 2)2 - 1 |
B. |
 |
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C. |
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D. |
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Hint |
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7. |
What is the polynomial function of least degree with integral coefficients that has zeros 2 and 3i? |
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A. |
y = x2 + x - 6 |
B. |
y = x3 - 2x2 + 9x - 18 |
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C. |
y = x3 - 2x2 - 9x + 18 |
D. |
y = x2 - 5x - 6 |
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Hint |
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8. |
Which is the inverse of the relation {(1, -3), (3, 5), (6, -2)}? |
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A. |
{(1, -3), (3, 5), (6, -2)} |
B. |
{(1, 5), (3, -2), (6, -3)} |
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C. |
{(1, -2), (3, 8), (6, 4)} |
D. |
{(-3, 1), (5, 3), (-2, 6)} |
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Hint |
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9. |
Evaluate log7 49. |
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A. |
7 |
B. |
49 |
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C. |
1 |
D. |
2 |
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Hint |
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10. |
Solve log3 (x + 4) - log3 (x - 2) = 2 log3 2. |
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A. |
8 |
B. |
6 |
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C. |
4 |
D. |
9 |
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Hint |
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11. |
What are the first six terms of the sequence in which a1= 7 and
an+1= an - 3? |
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A. |
7, -3, 4, 1, 2, -1 |
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B. |
7, 4, 1, -2, -5, -8 |
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C. |
1, 2, 7, 9, 12, 17 |
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D. |
–3, 7, -8, -2, -5, -8 |
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Hint |
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12. |
3 cards are drawn from a standard deck of 52 cards. Find the probability of drawing either 3 red cards or 3 face cards. |
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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. |
Select the graph of  . |
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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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14. |
Find cot if 180° < < 270° and cos . |
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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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15. |
Solve x2 + 2x+ 3 = 0 by completing the square. |
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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. |
Given that  and  , find  . |
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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. |
A square root function,  , can be used to represent income made on an investment, with x being the amount originally spent, and f(x) being the profit. How much money would have to be spent in order to make $50? |
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A. |
$20 |
B. |
$2050 |
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C. |
$7.91 |
D. |
$2000 |
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Hint |
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18. |
What is an equation for a circle if the endpoints of a diameter are at (3, 4) and (-3, -2)? |
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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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19. |
Given that log710  1.18, find log7 1000. |
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A. |
1.64 |
B. |
3.54 |
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C. |
3.85 |
D. |
2.54 |
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Hint |
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20. |
Suppose that we want to shift the function y = 3 + sin [2( –45)] up 2 units. What would its equation be? |
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A. |
y = 3 + sin [4( –45)] |
B. |
y = 1 + sin [2( –45)] |
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C. |
y = 5 + sin [4( –45)] |
D. |
y = 5 + sin [2( –45)] |
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Hint |
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