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1. |
Find the equation of the axis of symmetry of the graph of y = 2x2 - 8x + 5. |
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A. |
x = 4 |
B. |
x = -4 |
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C. |
x = 2 |
D. |
x = -2 |
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Hint |
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2. |
What are the real roots of the quadratic equation whose related function is graphed below? |
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A. |
4 |
B. |
-4 |
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C. |
-4, 4 |
D. |
-2 |
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Hint |
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3. |
Twyla puts $1000 in a savings account that pays 4% interest, compounded monthly. How much money will be in the account 3 years later if she makes no more deposits? |
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A. |
$1124.86 |
B. |
$1127.27 |
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C. |
$1010.03 |
D. |
$1120.00 |
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Hint |
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4. |
Lance is planning to invest $5000 for a period of 3 years. He has a choice of four different investments. Which of the combinations of interest rates and compounding below will earn the most money? |
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A. |
7.125%, quarterly |
B. |
7.1%, monthly |
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C. |
7%, daily |
D. |
7.2%, annually |
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Hint |
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5. |
Solve 2z2 + z - 4 = 0 by completing the square. |
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A. |
-2, 1 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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6. |
Find the vertex of y = –2x2 + 4x – 3, and tell whether it is a maximum or minimum. |
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A. |
(–1, 1), maximum |
B. |
(–1, –9), maximum |
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C. |
(1, 3), minimum |
D. |
(1, –1), maximum |
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Hint |
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7. |
In baseball, a pop fly should be easily caught if it stays in the air for 7 seconds. Suppose a ball that is hit can be represented by the function y = –16t2 + 125t + 5, where y is the height after t seconds. Will the ball be considered an easy catch? |
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A. |
no, because t < 7 |
B. |
yes, because t < 7 |
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C. |
no, because t > 7 |
D. |
yes, because t > 7 |
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Hint |
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8. |
Solve x2 – 16x – 17 = 0 by completing the square. |
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A. |
{–1, 13} |
B. |
{1, 13} |
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C. |
{–1, 17} |
D. |
{1, 17} |
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Hint |
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9. |
How many real roots exist if the discriminant of the equation = 0? |
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A. |
0 |
B. |
cannot be determined from given information |
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C. |
2 |
D. |
1 |
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Hint |
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10. |
How many real roots are there for the equation 2x2 + 6x + 3? |
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A. |
1 |
B. |
2 |
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C. |
cannot be determined from given information |
D. |
0 |
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Hint |
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11. |
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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12. |
Use a graph to approximate 31.2. |
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A. |
5.4 |
B. |
3.12 |
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C. |
3.7 |
D. |
0.27 |
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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. |
25.6, 20.48 |
B. |
24, 16 |
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C. |
28.5, 25.52 |
D. |
26, 22 |
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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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