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1. |
Solve 18 + a = 36. |
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A. |
-18 |
B. |
18 |
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C. |
-2 |
D. |
54 |
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Hint |
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2. |
Which is not a point at which a maximum or minimum value of a function could occur for the feasible region? |
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 |
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A. |
(-3, 0) |
B. |
(1, 5) |
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C. |
(-3, 6) |
D. |
(0, 3) |
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Hint |
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3. |
Find the axis of symmetry of the graph of f(x) = 4x2 -4x + 4. |
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A. |
x = 4 |
B. |
x =  |
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C. |
y = 3 |
D. |
x = 2 |
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Hint |
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4. |
Solve x2 + 2x - 15 > 0. |
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A. |
{x | -5 < x < 3} |
B. |
-3, 5 |
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C. |
{x | x < -5 or x > 3} |
D. |
{x | x < -3 or x > 5} |
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Hint |
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5. |
Stan the Hot Dog Man sells 100 hot dogs per day for $2 each, so his daily revenue is $200. He estimates that for every 25 cents he increases the price of a hot dog, he will sell 5 fewer. What range of prices can he charge so that his daily revenue is at least $225? |
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A. |
$2.25-$2.50 |
B. |
$2.00-$4.00 |
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C. |
$2.50-$4.50 |
D. |
$3.00-$4.50 |
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Hint |
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6. |
Approximate the real zero of f(x) = x3 + x + 1 to the nearest tenth. |
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A. |
-0.7 |
B. |
-1.3 |
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C. |
-1.0 |
D. |
0.3 |
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Hint |
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7. |
Which is not a possible rational zero of the function
g(x) = 3x3 + 2x2 - 7x - 6? |
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A. |
-3 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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8. |
Simplify  . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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9. |
Solve logb 36 = 2 |
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A. |
-6, 6 |
B. |
6 |
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C. |
-6 |
D. |
18 |
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Hint |
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10. |
 |
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A. |
–7 + (-8) + (-9) + (-10); -34 |
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B. |
7 + 8 + 9 + 10; 34 |
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C. |
–7 + 8 + (-9) + 10; 2 |
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D. |
7 – 8 + 9 – 10; -2 |
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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 | x < -2 or x > 3} |
D. |
{x | -2 < x < 3} |
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Hint |
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12. |
Which of the following is always true about inequalities whose graphs do not overlap? |
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A. |
Each slope is negative. |
B. |
Their slopes are opposite reciprocals. |
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C. |
Each slope is positive. |
D. |
Their slopes are equal. |
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Hint |
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13. |
Express the result in scientific notation. (3 × 10-3)(2 × 109) |
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A. |
6 × 106 |
B. |
3 × 1012 |
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C. |
6 × 1012 |
D. |
3 × 106 |
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Hint |
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14. |
Determine whether the expression 5x3y3 – x2y2 is a polynomial. |
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A. |
Yes. |
B. |
No, because there are two terms. |
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C. |
Cannot be determined from given information. |
D. |
No, because there are two variables. |
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Hint |
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15. |
Is the following expression simplified?  |
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A. |
no, since there is a radical in the denominator |
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B. |
yes, since the power on x is < 1 in the numerator |
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C. |
no, since the index of 4 could be smaller |
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D. |
Yes, since the power on x is = 1 in the denominator. |
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Hint |
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16. |
Solve  |
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A. |
38 |
B. |
76 |
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C. |
10 |
D. |
no real solution |
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Hint |
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17. |
The volume of a refrigerator is  . Its height is x + 2. What are the other two dimensions? |
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A. |
x – 6 and x + 1 |
B. |
x + 6 and x – 1 |
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C. |
x – 2 and x + 3 |
D. |
x – 3 and x + 2 |
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Hint |
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18. |
Write the equation  in standard form. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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19. |
For what value(s) of x is  undefined? |
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A. |
6, 7 |
B. |
7, –1 |
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C. |
6 |
D. |
–1 |
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Hint |
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20. |
Use the fact that log 5 8  1.29 and log 5 10 1.43 to approximate the value of log 5 80. |
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A. |
1.11 |
B. |
16 |
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C. |
2.72 |
D. |
1.84 |
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Hint |
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