| |
| |
1. |
The vertex of the graph of the equation y = -x2 + 6x + 1 is |
| |
|
A. |
a minimum |
B. |
a maximum |
| |
|
C. |
neither a maximum nor a minimum |
D. |
both a maximum and a minimum |
| |
|
Hint |
|
| |
2. |
What is the equation of the graph shown? |
| |
|
 |
| |
|
A. |
y = x2 - 2x + 1 |
B. |
y = -x2 - 2x - 1 |
| |
|
C. |
y = -x2 +2x - 1 |
D. |
y = x2 + 2x + 1 |
| |
|
Hint |
|
| |
3. |
Solve x2 – 6x + 5 = 0 by graphing. |
| |
|
A. |
1, 5 |
B. |
1 |
| |
|
C. |
5 |
D. |
-1 |
| |
|
Hint |
|
| |
4. |
Use the quadratic formula to solve 2x2 + 7x + 4 = 0. Approximate the solutions to the nearest hundredth. |
| |
|
A. |
1.28, 3.66 |
B. |
-5.56, -1.44 |
| |
|
C. |
-2.78, -0.72 |
D. |
-3.35, -0.15 |
| |
|
Hint |
|
| |
5. |
Use the quadratic formula to solve x2 + 4x + 5 = 0. |
| |
|
A. |
 |
B. |
-1, -4 |
| |
|
C. |
-1 |
D. |
5 |
| |
|
Hint |
|
| |
6. |
Which is the graph of y = 2.5x? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
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? |
| |
|
A. |
no, because t > 7 |
B. |
yes, because t < 7 |
| |
|
C. |
yes, because t > 7 |
D. |
no, because t < 7 |
| |
|
Hint |
|
| |
8. |
Solve x2 – 12x + 34 = 0 by taking the square root of each side. |
| |
|
A. |
 |
B. |
{5, 7} |
| |
|
C. |
 |
D. |
{6} |
| |
|
Hint |
|
| |
9. |
Solve 0.25x2 – 7x – 15 = 0. |
| |
|
A. |
{–5, 3} |
B. |
{4, 30} |
| |
|
C. |
{–2, 30} |
D. |
{3, 15} |
| |
|
Hint |
|
| |
10. |
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? |
| |
|
A. |
28 |
B. |
23 |
| |
|
C. |
17 |
D. |
2 |
| |
|
Hint |
|
| |
11. |
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? |
| |
|
A. |
$9,287.60 |
B. |
$1,200 |
| |
|
C. |
$161.06 |
D. |
near $0 |
| |
|
Hint |
|
| |
12. |
Suppose Tyler sprayed around the house for ants. Which formula would be used to find the number of ants still alive after a certain time if the number of ants was changing exponentially? |
| |
|
A. |
compound interest |
B. |
exponential growth |
| |
|
C. |
cannot be determined from given information |
D. |
exponential decay |
| |
|
Hint |
|
| |
13. |
A formula in which the nth term of a sequence is expressed in terms of the previous term, as in  is called what? |
| |
|
A. |
recursive |
B. |
geometric |
| |
|
C. |
dependent |
D. |
exponential |
| |
|
Hint |
|
| |
14. |
What is the eighth term of the geometric sequence whose first three terms are 3, 6, and 12? |
| |
|
A. |
128 |
B. |
384 |
| |
|
C. |
768 |
D. |
256 |
| |
|
Hint |
|
|
|