| |
| |
1. |
Ten years ago, Mary invested $2500. Four years later, she invested $3000. Set up an equation that determines the current value of the two investments T(x) if each earns 10% annual interest per year. |
| |
|
A. |
T(x) = 3000(1.0)10 +
2500(1.1)6 |
B. |
T(x) = 2500(1.1)10 +
3000(1.1)6 |
| |
|
C. |
T(x) = 2500(1.1)10 +
3000(1.1)4 |
D. |
T(x) = 3000(1.0)10 +
2500(1.1)4 |
| |
|
Hint |
|
| |
2. |
State the degree of the polynomial function f(x) = x4 - 2x2 + 3x - 1. |
| |
|
A. |
5 |
B. |
4 |
| |
|
C. |
3 |
D. |
2 |
| |
|
Hint |
|
| |
3. |
The factors of x2 - 8x - 20 = 0 are ____. |
| |
|
A. |
(x - 2) and (x + 10) |
B. |
(x + 2) and (x + 10) |
| |
|
C. |
(x + 2) and (x - 10) |
D. |
(x - 2) and (x - 10) |
| |
|
Hint |
|
| |
4. |
If you solve 2m2 + 8m + 1 = 0 by completing the square, first divide each side of the equation by ____. |
| |
|
A. |
 |
B. |
1 |
| |
|
C. |
2 |
D. |
8 |
| |
|
Hint |
|
| |
5. |
Find the value of k so that the remainder of (x3 - 3x2 + kx - 6) ÷ (x + 2) is 0. |
| |
|
A. |
k = 6 |
B. |
k = 11 |
| |
|
C. |
k = -11 |
D. |
k = -13 |
| |
|
Hint |
|
| |
6. |
Use the Remainder Theorem to find the remainder for the division of
(x4 - 3x2 + 2x - 1) ÷ (x - 1). The remainder is ____. |
| |
|
A. |
-1 |
B. |
2 |
| |
|
C. |
1 |
D. |
0 |
| |
|
Hint |
|
| |
7. |
Find the roots of x3 + 2x + 3 = 0. |
| |
|
A. |
 |
B. |
1, -2 |
| |
|
C. |
-1, 2 |
D. |
 |
| |
|
Hint |
|
| |
8. |
Find the number of positive real zeros for
f(x) = 3x5 + 2x3 + x2 + 7x - 1 = 0. |
| |
|
A. |
4 or 2 positive real zeros |
B. |
4 or 2 or 0 positive real zeros |
| |
|
C. |
no positive real zeros |
D. |
exactly 1 positive real zero |
| |
|
Hint |
|
| |
9. |
Approximate the real zero(s) of f(x) = x3 - 2x2 + 5x - 5 to the nearest tenth. |
| |
|
A. |
1.4 |
B. |
1.2 |
| |
|
C. |
1.4, 2.1, and 3.2 |
D. |
1.6 |
| |
|
Hint |
|
| |
10. |
Use the Upper Bound Theorem to find an integral upper bound and the Lower Bound Theorem to find an integral lower bound of the zeros of the function f(x) = x3 - 2x2 - x + 6. All real zeros of f(x) can be found in the interval. |
| |
|
A. |
2  x 3 |
B. |
1 x 2 |
| |
|
C. |
-2 x 3 |
D. |
-3 x -2 |
| |
|
Hint |
|
| |
11. |
Solve  = 3. |
| |
|
A. |
2 |
B. |
-1 |
| |
|
C. |
2, 3 |
D. |
3 |
| |
|
Hint |
|
| |
12. |
Solve  - x + 1 = 0. |
| |
|
A. |
-1, -2 |
B. |
1, -2 |
| |
|
C. |
1, 2 |
D. |
-1, 2 |
| |
|
Hint |
|
| |
13. |
Solve  . |
| |
|
A. |
4 |
B. |
8 |
| |
|
C. |
-10 |
D. |
-6 |
| |
|
Hint |
|
| |
14. |
Solve  . |
| |
|
A. |
2 |
B. |
3 |
| |
|
C. |
1 |
D. |
0 |
| |
|
Hint |
|
| |
15. |
How many direction changes are there in the graph of a quartic function? |
| |
|
A. |
1 |
B. |
0 |
| |
|
C. |
2 |
D. |
3 |
| |
|
Hint |
|
| |
16. |
Use a graphing calculator to write a polynomial function to model the set of data. |
| |
|
 |
| |
|
A. |
0.9x + 1.3 |
B. |
1.3x - 0.9 |
| |
|
C. |
0.9x - 1.3 |
D. |
1.3x + 0.9 |
| |
|
Hint |
|
|
|