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1. |
Solve the system of equations by graphing. 
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A. |
infinitely many solutions |
B. |
(0, 3) |
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C. |
no solution |
D. |
(-1, 7) |
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Hint |
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2. |
Find 3 |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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3. |
Solve  |
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A. |
7 |
B. |
-49 |
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C. |
49 |
D. |
14 |
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Hint |
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4. |
When 2x3 + x2 - 3 is divided by x + 1, the remainder is _____. |
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A. |
0 |
B. |
3 |
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C. |
-2 |
D. |
-4 |
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Hint |
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5. |
Evaluate log7 49. |
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A. |
2 |
B. |
49 |
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C. |
7 |
D. |
1 |
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Hint |
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6. |
Chemistry The pH of a solution and the concentration [H+] of hydrogen ions in the solution are related by the formula  . Find the concentration of hydrogen ions in a solution with a pH of 2.9. |
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A. |
0.00068 |
B. |
0.00032 |
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C. |
0.0013 |
D. |
794.33 |
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Hint |
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7. |
Find  to three decimal places. |
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A. |
1.6113 |
B. |
1.3617 |
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C. |
3.1355 |
D. |
2.3225 |
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Hint |
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8. |
Business An analyst estimates that the computers his company just bought will depreciate at a rate of 25% per year. At this rate, approximately how long will it take a computer to depreciate to 30% of its original value? |
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A. |
3 years |
B. |
10 years |
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C. |
5 years |
D. |
4 years |
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Hint |
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9. |
Evaluate C(5, 3). |
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A. |
30 |
B. |
40 |
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C. |
10 |
D. |
20 |
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Hint |
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10. |
The Boor Foundation conducted a poll asking people to name the most serious problem facing the nation. Of the 600 people polled, 48% of the randomly selected people answered education. Find the margin of error for this sampling. |
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A. |
24.96 |
B. |
0.5200 |
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C. |
0.0407922 |
D. |
0.2039608 |
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Hint |
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11. |
According to a survey of randomly selected adults who exercise regularly, 62% of the group said they run 40 minutes, 3 times a week. If the margin of error was 2%, how many people were surveyed? |
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A. |
380 |
B. |
2356 |
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C. |
9424 |
D. |
1178 |
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Hint |
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12. |
Which of the following is a matrix equation for the system 5x – 3y =11, –3x + 2y = 7? |
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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. |
Suppose a matrix equation of a system of equations does not have a unique solution. What cannot be true? |
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A. |
 |
B. |
 |
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C. |
ad – bc ? 0 |
D. |
 is undefined |
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Hint |
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14. |
Find consecutive values of x between which each real zero of the function  is located. |
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A. |
3 and 4 |
B. |
–3 and –4 |
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C. |
no solution |
D. |
–5 and –4 |
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Hint |
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15. |
Graph  . Then estimate the coordinates at which the relative maxima and relative minima occur. |
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A. |
minimum: –5,maximum: 1 |
B. |
minimum: 1, maximum: –3 |
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C. |
minimum: 1,maximum: –5 |
D. |
minimum: –3,maximum: 1 |
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Hint |
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16. |
Find the x- and y-intercepts of  . |
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A. |
x: , y: no intercept |
B. |
x: 7, y:  |
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C. |
x:, y: |
D. |
x: no intercept, y: |
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Hint |
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17. |
Which of the following is a counterexample to the statement 8k – 1 = 9r for all k, where k and r are integers? |
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A. |
(84 – 1) ÷ 9 = 455 |
B. |
8 = 9 – 1 |
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C. |
83 – 1 = 511, 511 ÷ 9 = 56.8 |
D. |
8(8k) = 8(9r + 1) |
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Hint |
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18. |
In A = 32°, a =8, and b = 7. Find C. |
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A. |
120.4° |
B. |
30.4° |
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C. |
20.7° |
D. |
110.7° |
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Hint |
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19. |
In which of the following cases should the procedure begin with the law of cosines? |
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A. |
Given: one side and three angles |
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B. |
Given: two sides and their included angle |
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C. |
Given: two sides and an angle opposite one of them |
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D. |
Given: two angles and any side |
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Hint |
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20. |
Which of the following is not equivalent to the other three? |
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A. |
2 cot x sec x |
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B. |
 |
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C. |
 |
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D. |
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Hint |
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