| |
| |
1. |
Which is a graph of f(x) = |3x| - 1? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
2. |
Solve the system of equations by elimination.
2x + y - z = 3
x + y + z = 5
x - 2y + z = 2
|
| |
|
A. |
(2, 1, 2) |
B. |
(2, 2, 1) |
| |
|
C. |
(1, 2, 1) |
D. |
(1, 1, 2) |
| |
|
Hint |
|
| |
3. |
In shipping, an oversize package is one in which the sum of the length and girth exceeds 100 inches, and also one whose length alone exceeds 70 inches. Which of the following best represents this situation? |
| |
|
A. |
l + g > 100, l < 70 |
B. |
l + g > 100, g < 70 |
| |
|
C. |
l + g < 100, g < 70 |
D. |
l + g > 100, l > 70 |
| |
|
Hint |
|
| |
4. |
If y varies jointly as the square of x and the cube of z and y = 9 when x = 3 and z = 4, find y when x = 8 and z = 5. |
| |
|
A. |
125 |
B. |
45 |
| |
|
C. |
100 |
D. |
40 |
| |
|
Hint |
|
| |
5. |
Find the number of positive real zeros for
f(x) = 3x5 + 2x3 + x2 + 7x - 1 = 0. |
| |
|
A. |
no positive real zeros |
B. |
exactly 1 positive real zero |
| |
|
C. |
4 or 2 or 0 positive real zeros |
D. |
4 or 2 positive real zeros |
| |
|
Hint |
|
| |
6. |
Determine the number of complex zeros of the function
f(x) = x5 - 4x2 + 2x - 1. |
| |
|
A. |
4 |
B. |
3 |
| |
|
C. |
5 |
D. |
2 |
| |
|
Hint |
|
| |
7. |
Decompose  into partial fractions. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
8. |
Choose the angle measure represented by 4.7 rotations clockwise. |
| |
|
A. |
846° |
B. |
-1692° |
| |
|
C. |
1692° |
D. |
-846° |
| |
|
Hint |
|
| |
9. |
Using Snell's Law,  = n, and  = 40° and  = 35° 15',
find the index of refraction, n. (Use a calculator.) |
| |
|
A. |
about 1.0660 |
B. |
about 0.9380 |
| |
|
C. |
about 0.8979 |
D. |
about 1.1137 |
| |
|
Hint |
|
| |
10. |
Find cos P. |
| |
|
 |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
11. |
Solve sin2 x - sin x + 1 = cos2 x for 0  x < 2 . |
| |
|
A. |
0,  ,  , |
B. |
0, , |
| |
|
C. |
0,  , , |
D. |
0, ,  , |
| |
|
Hint |
|
| |
12. |
Write the standard form of a line for which the length of the normal segment to the origin is 7 and the normal makes an angle of 120° with the positive x-axis. |
| |
|
A. |
 x - y - 14 = 0 |
B. |
x + y + 14 = 0 |
| |
|
C. |
x + y + 14 = 0 |
D. |
x - y + 14 = 0 |
| |
|
Hint |
|
| |
13. |
The magnitude of the zero vector is _____. |
| |
|
A. |
1 |
B. |
any negative number |
| |
|
C. |
0 |
D. |
any positive number except 1 |
| |
|
Hint |
|
| |
14. |
A vector that has a magnitude of one is called a _____. |
| |
|
A. |
unit vector |
B. |
resultant |
| |
|
C. |
scalar |
D. |
magnitude |
| |
|
Hint |
|
| |
15. |
Simplify the expression (5 – 2i) – (2 – 7i). |
| |
|
A. |
3 – 9i |
B. |
7 – 9i |
| |
|
C. |
7 + 5i |
D. |
3 + 5i |
| |
|
Hint |
|
| |
16. |
Determine two points that appear to represent the data in the scatter plot. Then find and interpret the slope. |
| |
|
 |
| |
|
A. |
Paul's test scores improve an average of 5 points with each test. |
| |
|
B. |
Paul's test scores improve an average of 3 points with each test. |
| |
|
C. |
Paul's test scores improve an average of 15 points with each test. |
| |
|
D. |
Paul's test scores are neither increasing nor decreasing. |
| |
|
Hint |
|
| |
17. |
Find the inverse of  . |
| |
|
A. |
 |
B. |
does not exist |
| |
|
C. |
0 |
D. |
 |
| |
|
Hint |
|
| |
18. |
Solve |4 - x| < 0. |
| |
|
A. |
{x|x > 4} |
B. |
no solution |
| |
|
C. |
{x|x < 4} |
D. |
all real numbers |
| |
|
Hint |
|
| |
19. |
Complete the identity tan ( - A) = ________. |
| |
|
A. |
cot A |
B. |
-tan A |
| |
|
C. |
tan A |
D. |
-cot A |
| |
|
Hint |
|
| |
20. |
Hetu is playing catch with a friend. If Hetu throws the ball at 21.3 m/s, at an angle of 30° with the horizontal, and his friend catches the ball at the same height from which Hetu threw it, how far away is his friend standing? |
| |
|
A. |
46.2 m |
B. |
53.4 m |
| |
|
C. |
40.0 m |
D. |
23.1 m |
| |
|
Hint |
|
|
|