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1. |
Find the coordinates of the vertex of the graph of the equation y = -3x2 - 12x - 5. |
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A. |
(1, -20) |
B. |
(-4, -5) |
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C. |
(-2, 7) |
D. |
(2, -41) |
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Hint |
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2. |
Solve x2 + 4x + 4 = 0 by graphing. |
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A. |
-2, 2 |
B. |
-4, 4 |
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C. |
4 |
D. |
-2 |
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Hint |
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3. |
Use the quadratic formula to solve 2x2 + 7x + 4 = 0. Approximate the solutions to the nearest hundredth. |
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A. |
-2.78, -0.72 |
B. |
1.28, 3.66 |
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C. |
-3.35, -0.15 |
D. |
-5.56, -1.44 |
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Hint |
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4. |
Use the quadratic formula to solve x2 + 4x + 5 = 0. |
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A. |
5 |
B. |
-1 |
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C. |
-1, -4 |
D. |
 |
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Hint |
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5. |
Approximate 5(31.8) to the nearest hundredth. |
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A. |
36.12 |
B. |
27.42 |
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C. |
29.16 |
D. |
32.90 |
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Hint |
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6. |
The Mendoza family just bought a house for $180,000. If the value of the house increases at a rate of 3% per year, about how much will it be worth in 10 years? |
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A. |
$234,000 |
B. |
$258,000 |
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C. |
$250,000 |
D. |
$242,000 |
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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. |
8 |
B. |
16 |
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C. |
-64 |
D. |
64 |
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Hint |
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8. |
The property of a parabola that allows it to be folded in half so that each half matches the other exactly is called what? |
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A. |
maximum |
B. |
symmetry |
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C. |
minimum |
D. |
vertex |
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Hint |
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9. |
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. |
yes, because t < 7 |
D. |
no, because t > 7 |
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Hint |
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10. |
Solve x2 – 16x – 17 = 0 by completing the square. |
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A. |
{1, 13} |
B. |
{–1, 17} |
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C. |
{1, 17} |
D. |
{–1, 13} |
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Hint |
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11. |
Given the coordinates (0, 3), (1, 11), (2, 19), (3, 27), would a graph of these points exhibit exponential behavior? |
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A. |
no, it would not display exponential or linear behavior |
B. |
no, it would display linear behavior |
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C. |
yes, exponential behavior only |
D. |
yes, exponential and linear behavior |
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Hint |
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12. |
Nancy invests $100 in one account for ten years at a 9% interest rate compounded annually, and she invests $150 in an account for 10 years at a 6% interest rate compounded semi-annually. How much money will she have in the accounts after 10 years? |
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A. |
$270.92 |
B. |
$236.74 |
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C. |
$505.36 |
D. |
$507.65 |
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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. |
25.6, 20.48 |
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C. |
24, 16 |
D. |
28.5, 25.52 |
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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. |
recursive |
B. |
dependent |
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C. |
exponential |
D. |
geometric |
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Hint |
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