| |
| |
1. |
Find the first three iterates, x1, x2, and x3, of the function
f(x) = 3x - 1 for an initial value x0=1. |
| |
|
A. |
5, 14, 41 |
B. |
2, 5, 14 |
| |
|
C. |
-4, -13, -40 |
D. |
8, 23, 88 |
| |
|
Hint |
|
| |
2. |
The math scores, x, and chemistry scores, y, for six students are given in the table. Use a graphing calculator to find the Pearson product-moment correlation. |
| |
|
 |
| |
|
A. |
about 0.74 |
B. |
about 0.65 |
| |
|
C. |
about 0.68 |
D. |
about 0.71 |
| |
|
Hint |
|
| |
3. |
The equation 2x - y + 3z = 5 represents _____________ |
| |
|
A. |
a line. |
B. |
none of these. |
| |
|
C. |
a plane. |
D. |
a circle. |
| |
|
Hint |
|
| |
4. |
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
5. |
What are the vertices of the triangle formed? |
| |
|
 |
| |
|
A. |
(100, 400), (500, 400), and (100, 800) |
| |
|
B. |
(100, 400), (400, 500), and (800, 100) |
| |
|
C. |
(100, 400), (500, 400), and (800, 100) |
| |
|
D. |
(100, 400), (400, 500), and (100, 800) |
| |
|
Hint |
|
| |
6. |
Find the magnitude of the vector from X(-4, 7) to Y(3, -4). |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
7. |
Name another pair of polar coordinates that represent point S(5, 120°) with the restriction that -360°  360°. |
| |
|
A. |
(5, 330°) |
B. |
(5, -120°) |
| |
|
C. |
(5, -30°) |
D. |
(5, -240°) |
| |
|
Hint |
|
| |
8. |
Graph  |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
9. |
Find the coordinates of the midpoint of the segment that has endpoints at (-4, 7) and (2, -11). |
| |
|
A. |
(-4, -2) |
B. |
(-2, -4) |
| |
|
C. |
(-2, -1) |
D. |
(-1, -2) |
| |
|
Hint |
|
| |
10. |
Evaluate  . |
| |
|
A. |
25 |
B. |
10 |
| |
|
C. |
 |
D. |
5 |
| |
|
Hint |
|
| |
11. |
Write an equation of a line that has no slope and passes through
the point (5,-6). |
| |
|
A. |
x = 5 |
B. |
y = 5 |
| |
|
C. |
x = -6 |
D. |
y = -6 |
| |
|
Hint |
|
| |
12. |
Graph the data on a scatter plot. |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
13. |
Which is the graph of the compound inequality 0  x + y 4? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
14. |
Solve the system of three equations by elimination: 5x + 2y - 3z = 10
2x - 2y + 4z = 6
x - y + 2z = 3
|
| |
|
A. |
infinite solutions |
B. |
(3, 4, 2) |
| |
|
C. |
no solution |
D. |
(2, -5, 3) |
| |
|
Hint |
|
| |
15. |
Sam has $10,000 to deposit in two different savings accounts. He wants at least $3,000 in the account with 3% interest. He wants no less than $5,000 in the account with 7% interest.Graph this system of inequalities. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
16. |
Given the function f(x) = x2 - 8x + 16, is the inverse a function? How do you know? |
| |
|
A. |
No, fails the vertical line test. |
B. |
Yes, fails the horizontal line test. |
| |
|
C. |
No, fails the horizontal line test. |
D. |
Yes, passes the vertical line test. |
| |
|
Hint |
|
| |
17. |
Write the rectangular equation x2 + (y + 6)2 = 36 in polar form. |
| |
|
A. |
r = -6 sin |
B. |
r = -12 sin |
| |
|
C. |
r = 12 sin |
D. |
r = 6 sin |
| |
|
Hint |
|
| |
18. |
Compare the balance after 15 years of a $5,000 investment earning 7.12% interest compounded continuously to the same investment compounded semiannually. |
| |
|
A. |
You would earn $267.67 more by choosing the compounded annually account. |
| |
|
B. |
You would earn $376.31 more by choosing the compounded continuously account. |
| |
|
C. |
You would earn the same from both accounts. |
| |
|
D. |
You would earn $267.67 more by choosing the compounded continuously account. |
| |
|
Hint |
|
| |
19. |
Find the sum  . |
| |
|
A. |
0 |
B. |
The sum does not exist. |
| |
|
C. |
8 |
D. |
12 |
| |
|
Hint |
|
| |
20. |
Find ln (-2.89) to four decimal places. |
| |
|
A. |
 + 0.6366 |
B. |
- 1.0613 |
| |
|
C. |
+ 1.0613 |
D. |
- 0.6366 |
| |
|
Hint |
|
|
|