| |
| |
1. |
Find the equation of the axis of symmetry of the graph of
y = 2x2 - 8x + 5. |
| |
|
A. |
x = 2 |
B. |
x = 4 |
| |
|
C. |
x = -4 |
D. |
x = -2 |
| |
|
Hint |
|
| |
2. |
What are the real roots of the quadratic equation whose related function is graphed below? |
| |
|
 |
| |
|
A. |
-2 |
B. |
-4, 4 |
| |
|
C. |
4 |
D. |
-4 |
| |
|
Hint |
|
| |
3. |
Solve x2 – 6x + 5 = 0 by graphing. |
| |
|
A. |
1 |
B. |
-1 |
| |
|
C. |
1, 5 |
D. |
5 |
| |
|
Hint |
|
| |
4. |
Use the quadratic formula to solve x2 + 2x - 8 = 0. |
| |
|
A. |
-4, -2 |
B. |
-4, 2 |
| |
|
C. |
-4 |
D. |
-2 |
| |
|
Hint |
|
| |
5. |
Solve x2 - 4x + 1 = 0 by completing the square. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
1, 3 |
| |
|
Hint |
|
| |
6. |
Find the vertex of y = –2x2 + 4x – 3, and tell whether it is a maximum or minimum. |
| |
|
A. |
(1, 3), minimum |
B. |
(–1, 1), maximum |
| |
|
C. |
(–1, –9), maximum |
D. |
(1, –1), maximum |
| |
|
Hint |
|
| |
7. |
Solve x2 – 8x + 16 = 13 by taking the square root of each side. |
| |
|
A. |
-2 |
B. |
4 |
| |
|
C. |
2 |
D. |
-4 |
| |
|
Hint |
|
| |
8. |
How many real roots exist if the discriminant of the equation = 0? |
| |
|
A. |
2 |
B. |
cannot be determined from given information |
| |
|
C. |
0 |
D. |
1 |
| |
|
Hint |
|
| |
9. |
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. |
23 |
B. |
28 |
| |
|
C. |
2 |
D. |
17 |
| |
|
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 = 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? |
| |
|
A. |
15 |
B. |
2 |
| |
|
C. |
10 |
D. |
3 |
| |
|
Hint |
|
| |
11. |
Ricky invested $1000 in an account at 8% interest compounded quarterly. How much money will he have earned on the account after 7 years? |
| |
|
A. |
$741.02 |
B. |
$1,741.02 |
| |
|
C. |
$1,713.82 |
D. |
$713.82 |
| |
|
Hint |
|
| |
12. |
Each year, new computers are built with better technology, making older ones less valuable. If the computers loses 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. |
near $0 |
D. |
$161.06 |
| |
|
Hint |
|
| |
13. |
Determine whether the sequence 3, 12, 48, 192 is geometric. If so, find its common ratio. |
| |
|
A. |
geometric, r = 3 |
B. |
not geometric |
| |
|
C. |
geometric, r = 4 |
D. |
geometric, r = 9 |
| |
|
Hint |
|
| |
14. |
What are the next three terms of the geometric sequence 4, 10, 25,…? |
| |
|
A. |
100, 250, 1000 |
B. |
100, 400, 1600 |
| |
|
C. |
62.5, 156.25, 390.625 |
D. |
62.5, 312.5, 1562.5 |
| |
|
Hint |
|
|
|