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1. |
What is the equation of the graph shown? |
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A. |
y = x2 - 2x + 1 |
B. |
y = -x2 - 2x - 1 |
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C. |
y = x2 + 2x + 1 |
D. |
y = -x2 +2x - 1 |
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Hint |
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2. |
Use the quadratic formula to solve x2 + 2x - 8 = 0. |
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A. |
-4, 2 |
B. |
-4 |
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C. |
-2 |
D. |
-4, -2 |
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Hint |
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3. |
Which equation represents exponential decay? |
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A. |
y = 0.86(1.46)x |
B. |
y = 2.62(1.22)x |
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C. |
y = 1.05(0.95)x |
D. |
y = 1.7(1.06)x |
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Hint |
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4. |
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. |
$258,000 |
B. |
$234,000 |
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C. |
$250,000 |
D. |
$242,000 |
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Hint |
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5. |
Solve 2z2 + z - 4 = 0 by completing the square. |
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A. |
 |
B. |
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C. |
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D. |
-2, 1 |
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Hint |
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6. |
Suppose the equation of the axis of symmetry is x = 2. What is the y-coordinate of the vertex? |
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A. |
-2 |
B. |
cannot be determined from given information |
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C. |
4 |
D. |
2 |
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Hint |
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7. |
The sum of two numbers is 2, and the product is 3. What are the numbers? |
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A. |
no solution |
B. |
–1 and 3 |
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C. |
1 and 1 |
D. |
1 and –3 |
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Hint |
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8. |
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. |
no, because t > 7 |
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C. |
yes, because t < 7 |
D. |
yes, because t > 7 |
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Hint |
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9. |
Solve x2 – 12x + 34 = 0 by taking the square root of each side. |
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A. |
{6} |
B. |
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C. |
{5, 7} |
D. |
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Hint |
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10. |
Which of the following equations will have exactly 1 real root? |
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A. |
x2 – 6x – 9 |
B. |
9x2 + 12x – 4 |
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C. |
2x2 + 5x – 16 |
D. |
4x2 – 8x + 4 |
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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. |
a > 1 |
B. |
a = 1 |
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C. |
0 < a < 1 |
D. |
–1 < a < 0 |
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Hint |
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12. |
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 = 20(0.53)d, where y is the number of phone calls after d days. On what day should she expect to have 3 calls? |
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A. |
15 |
B. |
2 |
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C. |
10 |
D. |
3 |
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Hint |
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13. |
What are the next three terms of the geometric sequence 4, 10, 25,…? |
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A. |
62.5, 312.5, 1562.5 |
B. |
100, 400, 1600 |
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C. |
100, 250, 1000 |
D. |
62.5, 156.25, 390.625 |
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Hint |
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14. |
Find the next two terms of the geometric sequence 50, 40, 32, … |
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A. |
24, 16 |
B. |
28.5, 25.52 |
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C. |
25.6, 20.48 |
D. |
26, 22 |
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Hint |
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