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1. |
Find the coordinates of the vertex of the graph of the equation
y = x2 - 5x + 7. |
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A. |
 |
B. |
(0, 7) |
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C. |
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D. |
(5, 7) |
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Hint |
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2. |
Which is the graph of the equation y = 2x2 - 1? |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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3. |
The equation x2 + 1 = -3x does not have integral roots. State the consecutive integers between which the roots lie. |
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A. |
between -1 and 0 and between 0 and 1 |
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B. |
between 0 and 1 and between 2 and 3 |
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C. |
between -3 and -2 and between 0 and 1 |
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D. |
between -3 and -2 and between -1 and 0 |
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Hint |
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4. |
Use the quadratic formula to solve 3y2 + 2 = 8y. Approximate the solutions to the nearest hundredth. |
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A. |
-0.64, 1.32 |
B. |
0.43, 2.87 |
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C. |
0.56, 4.77 |
D. |
0.28, 2.39 |
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Hint |
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5. |
Use the quadratic formula to solve x2 + 4x + 5 = 0. |
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A. |
-1, -4 |
B. |
5 |
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C. |
-1 |
D. |
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Hint |
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6. |
Which equation represents exponential decay? |
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A. |
y = 1.7(1.06)x |
B. |
y = 2.62(1.22)x |
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C. |
y = 0.86(1.46)x |
D. |
y = 1.05(0.95)x |
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Hint |
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7. |
Find the value of c that makes x2 + 16x + c a perfect square. |
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A. |
-64 |
B. |
8 |
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C. |
64 |
D. |
16 |
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Hint |
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8. |
Find the value of b that makes x2 + bx + 36 a perfect square. |
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A. |
12 |
B. |
6 |
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C. |
-12, 12 |
D. |
324 |
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Hint |
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9. |
The sum of two numbers is 12, and the product of the numbers is 36. What are the numbers? |
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A. |
9 and 4 |
B. |
6 and 6 |
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C. |
7 and 5 |
D. |
6 and 9 |
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Hint |
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10. |
For equations of the form y = ax, where a is a constant, what is true about a if the y-values change little for small values of x, but increase quickly for large x values? |
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A. |
0 < a < 1 |
B. |
a = 1 |
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C. |
–1 < a < 0 |
D. |
a > 1 |
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Hint |
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11. |
A guest on a talk show tends to receive many phone calls right after she is on the show, and then the calls become less frequent. This can be represented by the equation y = 30(0.92)d, where y is the number of phone calls after d days. How many phone calls should she expect after a week? |
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A. |
17 |
B. |
23 |
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C. |
28 |
D. |
2 |
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Hint |
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12. |
Each year, new computers are built with better technology, making older ones less valuable. If the computers looses value at a rate of 20% per year, how much will a $1500 computer be worth in ten years? |
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A. |
$9,287.60 |
B. |
$1,200 |
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C. |
near $0 |
D. |
$161.06 |
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Hint |
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13. |
Find the next two terms of the geometric sequence 50, 40, 32, … |
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A. |
26, 22 |
B. |
24, 16 |
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C. |
28.5, 25.52 |
D. |
25.6, 20.48 |
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Hint |
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14. |
A formula in which the nth term of a sequence is expressed in terms of the previous term, as in  is called what? |
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A. |
geometric |
B. |
exponential |
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C. |
dependent |
D. |
recursive |
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Hint |
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